Given a circle with a center at (-3.1) and a radius of 4, is the point (1,-2) inside,
outside or on? Show all work for your proof.

Answers

Answer 1

Answer:

Step-by-step explanation:

distance between center and (1,-2) is

[tex]d=\sqrt{(1-(-3))^2+(-2-1)^2} \\=\sqrt{16+9} \\=5>4\\[/tex]

distance of the point from the center>radius of circle.

So it lies outside the circle.


Related Questions

3/4 : 1/2 :: 27x : 14​

Answers

Answer:

Step-by-step explanation:

Note: It is not mention what to find so than i am finding the value of x.

Given data:

3/4 : 1/2:: 27x: 14

Now,

[tex]x=\frac{1/2*27}{3/4*14} \\x=4.5[/tex]

ayuda porfavor es urgente​

Answers

B for one and D for 2
Uno - B Dos - D

Why is 31
less than 3 x 10?

Answers

Answer:

Step-by-step explanation:

Because 3x10=30 and 31 is greater than 30 by 1 more.

It's not. 3 times 10 is 30.

30<31

Can you please write a paragraph using this Key Terms: amphibians larvae salamanders emerge habitat dormant migrate escort

Answers

Answer:

DESCRIPTION: Large for a modern amphibian, the male California tiger salamander can reach up to 8.5 inches in length, the female up to seven. Adults have protruding eyes and long tails, and their slick bodies are mostly black with brilliant yellow spots and stripes on their back, sides, and tail. Larvae are greenish gray in color.

HABITAT: California tiger salamanders can be found in annual grasslands and oak woodlands with hot, dry summers and cool, rainy winters. For most of the year, they reside in underground burrows created and abandoned by small mammals. They need ephemeral pools for breeding.

RANGE: Historically these salamanders ranged throughout California's Sacramento and San Joaquin River valleys, the surrounding foothills, and the lower elevations of the state's central coast. Now their distribution is limited to disjunct vernal pool complexes in the northern part of their historical range. The northernmost and southernmost populations, residing in Sonoma and Santa Barbara counties respectively, are genetically distinct and geographically isolated from others.

MIGRATION: Once fall and winter rains begin, adult tiger salamanders emerge from underground hibernation habitat in mammal burrows and migrate to breeding ponds. After breeding, adults disperse back to uplands habitat to retreat underground. Adults may migrate long distances between summering and breeding sites: salamanders have been found along roads more than 1.2 miles from any known breeding ponds. Juvenile salamanders dispersing from ponds have been trapped more than 1,200 feet from their natal ponds.

BREEDING: Following early-winter rains, California tiger salamanders nocturnally emerge from their burrows and lay their eggs in newly formed vernal pools. After the eggs are fertilized internally, a female can lay up to 1,300, which she deposits individually or in small batches. Adults move back to their terrestrial burrows after breeding.

LIFE CYCLE: Within two weeks of egg fertilization, salamander larvae hatch, remaining in their natal pools for two to three months. By late spring or summer, once they reach metamorphosis, juveniles roam up to two miles away to hibernate in terrestrial habitat. Salamanders are thought to have lifespans of 10 years or more.

FEEDING: For the first six weeks of life, juveniles eat small crustaceans, algae, and mosquito larvae. Adult salamanders prey on aquatic insects, invertebrates, and tadpoles of Pacific tree frogs, California red-legged frogs, western toads, and spadefoot toads.

THREATS: The California tiger salamander is threatened by habitat destruction due to urban and agricultural development, habitat fragmentation, pesticides, hybridization with nonnative tiger salamanders, introduced diseases, and predation by nonnative species.

POPULATION TREND: Surveys showed that by 1993, the California tiger salamander had been extirpated from at least half of its historic localities. By 2004, only six tiger salamander meta-populations within 48 breeding ponds remained in Santa Barbara County, and by 2005, only seven viable tiger salamander breeding sites remained in Sonoma County.

Step-by-step explanation:

25/20 + 10/y = ? Solve for y.

Answers

Answer:

your answer is y=-8 for sure

Write an equation to describe the relationship between x and y in the table shown:​

Answers

x+5=y
-3(x)+5=2(y)
-2(x)+5=3(y)
0(x)+5=5(y)
1(x)+5=6(y)

Katrina drinks 0.5 gallons of water per day which expression shows how to find the number of cups of water she drinks in a week there are 16 cups in I

Answers

Answer:

56 cups of water

Step-by-step explanation:

Katrina drinks 0.5 gallons of water per day

We have 7 days in a week, hence, the number of gallons of water she drinks per week is calculated as:

1 day = 0.5 gallons

7 days = x

Cross Multiply

1 day × x = 7 days × 0.5 gallons

x = 7 days × 0.5 gallons/1 day

x = 3.5 gallons

Note that 16 cups = 1 gallon

The number of cups of water she drinks per week is

1 gallon = 16 cups

3.5 gallons = x

Cross Multiply

1 gallons × x = 3.5 gallons × 16 cups

x = 3.5 gallons × 16 cups/1 gallons

x = 56 cups

Therefore, Katrina drinks 56 cups of water in a week

HELP i will give brainliest
all questions ;(

Answers

Answer:

1. The theoretical probability of rolling an even number and flipping heads is 25%.

2. The experimental probability of rolling a 1 and flipping tails is 15%.

3. The experimental probability of flipping heads is 40%.

4. I think around 7%.

5. I would expect to roll 3 and land on heads 8 times.

Step-by-step explanation:

I am not sure about number 4.

Have a nice day!

Ask me if you need my work. :-)

Copy and complete. Answer: (a) Increased by % (b) Increased by % (c) Decreased by % (d) Decreased by % (e) Increased by % (f) Decreased by %

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete; However, one can deduce from the options that the question refers to percentage change.

I will give two illustrations that shows how to calculate percentage change.

Illustration 1

Consider goods x with the following price change.

[tex]Old = \$45[/tex]

[tex]New = \$55[/tex]

The percentage change is:

[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]

[tex]\%Change = \frac{55-45}{45} * 100\%[/tex]

[tex]\%Change = \frac{10}{45} * 100\%[/tex]

[tex]\%Change = \frac{1000}{45} \%[/tex]

[tex]\%Change = 22.22\%[/tex]

This means there is a 22.22% increase

Illustration 2

Consider goods x with the following price change.

[tex]Old = \$45[/tex]

[tex]New = \$35[/tex]

The percentage change is:

[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]

[tex]\%Change = \frac{35-45}{45} * 100\%[/tex]

[tex]\%Change = \frac{-10}{45} * 100\%[/tex]

[tex]\%Change = -\frac{1000}{45} \%[/tex]

[tex]\%Change = -22.22\%[/tex]

The negative sign indicates percentage decrease

So, this means there is a 22.22% decrease

Why does that formula make sense?

Answers

According to the trapezoid area formula, the area of a trapezoid is equal to half the product of the height and the sum of the two bases. Area = ½ x (Sum of parallel sides) x (perpendicular distance between the parallel sides).

If helped mark me the brainiest!!

Answer:

Step-by-step explanation:

Draw two lines vertically down from side "A" to "B"...you now have three objects ... to triangles, and one rectangle.... the area of the rectangle is "AH"...now you have two triangles, that have area 1/2 base*height... the height is "H" and the base .... well it is (B-A)/2... so the area of the two triangles are ..... (2)*(1/2)*((B-A)/2)* H.... The total area is .... AH + (2)*(1/2)*((B-A)/2)* H .... 2* 1/2 = 1 so now we have AH +   ((B-A)/2)* H .... to help see this let us write it as AH + H(B-A)/2 .. expand the right H.... AH + BH/2 - AH/2.......

you end up with : AH - AH/2 + AB/2 ...

AH - AH/2 =  AH/2

BH/2 = BH/2

final answer : AH/2 + BH/2

factor out the 1/2 and H ..... 1/2 H (A+B)

Find the value of each variable​

Answers

Answer:

Z = 65 Y = 115

Step-by-step explanation:

z+115 = 180

z=65

y + 65 +100+80= 360

y+245 = 360

y=115

Answer:

y = 115°

z = 65°

Step-by-step explanation:

*IMPORTANT* Straight line = 180° & Squares = 360°

1) 180° - 115° = 65°

z = 65°

2) 360° - 100° - 80° - 65° = 115°

Also, interior angles = exterior angles

PLEASE HELP PLEASE PLEASE PLEASE ANSWER ALL OF THE QUESTIONS IF YOU KNOW GEOMETRY

Answers

1) I’m pretty sure for this one the answer is X = 1, -1 but that’s not an option. So I’d double check with your teacher so make sure there is no typo.
2) Q
3) +/- sq rt 19
The answer is the last one because it is

In circle D, EDH LEDG.
1. Determine the length of JG using
circle D.
Show your work and write out your
justification.
E
57°
F
D
Be prepared to answer questions
about additional angles, arcs and
segments from circle D.
C
H
66°
G
2.
G H
In OK, m_HKG=x+10 and
m IKT=3 2 D

Answers

Answer:

hey mate

the question is not understandable

Help fast it is math and really fast need help

Answers

Given:

The table of value and y is inversely proportional to square of x.

To find:

The value of c and d.

Solution:

It is given that y is inversely proportional to square of x. So,

[tex]y\propto \dfrac{1}{x^2}[/tex]

[tex]y=k\dfrac{1}{x^2}[/tex]               ...(i)

Where, k is the contant of proportionality.

From the given table it is clear that [tex]y=4[/tex] and [tex]x=3[/tex]. Putting these values in (i), we get

[tex]4=k\dfrac{1}{3^2}[/tex]

[tex]4=\dfrac{k}{9}[/tex]

[tex]4\times 9=k[/tex]

[tex]36=k[/tex]

Putting [tex]k=36[/tex] in (i), we get

[tex]y=36\dfrac{1}{x^2}[/tex]

[tex]y=\dfrac{36}{x^2}[/tex]             ...(ii)

Putting [tex]x=5,y=c[/tex] in (ii), we get

[tex]c=\dfrac{36}{(5)^2}[/tex]

[tex]c=\dfrac{36}{25}[/tex]

Putting [tex]x=d,y=2[/tex] in (ii), we get

[tex]2=\dfrac{36}{d^2}[/tex]

[tex]d^2=\dfrac{36}{2}[/tex]

[tex]d^2=18[/tex]

Taking square root on both sides, we get

[tex]d=\pm \sqrt{18}[/tex]

[tex]d=\pm 3\sqrt{2}[/tex]

Therefore, the required values are [tex]c=\dfrac{36}{25}[/tex] and [tex]d=\pm 3\sqrt{2}[/tex].

Answer:

8.238

Step-by-step explanation:

it might not be right, but it was not fast either XDDD

dang, i took to long to tell u

:)

A second-hand car costs $2400. The price falls by 25% when it is sold again. How much is it sold for?

Answers

Answer:

1,800$

Step-by-step explanation:

25% is 1/4th of the total amount. So...

Divide 2,400$ by 4 and get 600

Now, subtract 600 from 2,400.

Note:

Pls notify me if my answer is incorrect for the other users that will see this response. Thank you.

-kiniwih426

A line passes through the points (-2, 4) and (6, 16). Which of the following would not be
a correct equation of the line?

Answers

(4,12) is the correct answer

–6(2 + a) = –48 please answer

Answers

Answer:

a = 6

Step-by-step explanation:

–6(2 + a) = –48

Divide each side by -6

–6(2 + a) / -6 = –48/-6

2+a = 8

Subtract 2 from each side

2+a-2 = 8-2

a = 6

-6(2 + a) = -48

The -6 can be distributed.

-12 - 6a = -48
-6a = -48 + 12
-6a/-6 = -36/-6

Double negatives make a positive.

a = 6

What is f(5) for the function below?
f (x) = 6x – 10

Answers

Answer:

20

Step-by-step explanation:

f(5) = 6(5) - 10

= 30-10

=20

when x = 5, y = 20

Please help first real answer will get brainliest

Answers

Answer:

6

Step-by-step explanation:

a1(n-1) + D

d = 6

If the pentagon below is to be reflected over the line y=x, what are the new coordinates of the vertices?

Answers

Answer:

K' (-2, -2)

L' (3, -2)

G' (4,0)

H' (3,2)

J' (-2, 2)

Step-by-step explanation:

list all the coordinates of the image, and apply the y=x rule of reflection. The line y=x states that the previous y is now in the x and vice versa.

K(-2, -2)

L(-2, 3)

G(0,4)

H(2,3)

J(2, -2)

If a sample of 100 polar bears is taken from a population of polar bears whose average
weight is 2000 pounds and standard deviation is 300 pounds, then a 95% confidence
Interval for the sample mean would be from
to
pounds.

Answers

Answer:

not really sure

but I'll try for you

what are the coordinates of point V

Answers

Answer:

c is the and

no worries thank you to each of the Fourth of that mother you have any other questions please contact me

Population since 2000 has been approximately linear. In 2006 the population was 1148 and in 2014 the population was 1348. What is the rate of population growth?

Answers

Answer:

2.03% Rate of Population Growth.

Step-by-step explanation:

According to the Question,

Given, In 2006 the population was 1148 and in 2014 the population was 1348.

2006⇒2014  (8 Years)

So, [tex]1148 * (1+\frac{x}{100} )^{8} = 1348[/tex]

[tex](1+\frac{x}{100} ) = \sqrt[8]{1.1742}[/tex]

(1 + x/100) = 1.0202

x/100 = 0.020276

x = 2.03% Rate of Population Growth

7th grade Girl!

*urgent, pls pls pls help!* :(

(in the screenshot above. pleaseeeee! i’m desperate ahhhh :( )

Answers

answer:

A, P, M, S, W, Q


Please help me if yk tha answer :))

Answers

Answer:

cosθ = sinθ/tanθ

Step-by-step explanation:

tanθ = sinθ/cosθ (Given)

cosθ(tanθ) = sinθ (Mulitplied cosθ on both sides)

cosθ = sinθ/tanθ (Divided tanθ on both sides)

what is the total value of 6 in 24.63​

Answers

Answer:

.60

Step-by-step explanation:

The values is 6 tenths

expand and simplify pla

Answers

y = f(3f - 4g + 3) +7g(3f - 4g + 3)
= 3f^2 - 4fg + 3f + 21fg - 28g^2 + 21g
= 3f^2 + 3f + 17fg + 21g - 28g^2

Divide (16m³-10m²+2m)÷2m​

Answers

[tex]\huge\color{purple}\boxed{\colorbox{black}{♡Solution♡}}[/tex]

[tex]8 \: {m}^{2} - 5 \: m + 1[/tex] ✅

Step-by-step explanation:

[tex] \frac{(16 \: {m}^{3} - 10 \: {m}^{2} + \: 2m) }{2 \: m} \\ \\ = \frac {2 \: m \: (8 \: {m}^{2} - 5 \: m + 1)} {2 \: m} \\ \\ = 8 \: {m}^{2} - 5 \: m + 1[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

An object is launched from a platform. its height in meters X seconds after the launch is modeled by h(x)=-5x^2+20x+60 how many seconds after launch Will the object land on the ground

Answers

Answer:

6 seconds after launch.

Step-by-step explanation:

You should make sure  there aren't odd symbols in your question when you post it.

Assuming it is just the equation -5x^2 + 20x + 60, if you graph it you can see the path of the ball.  at x=0 this is the starting point It then hits the ground when it touches the x axis.  So this is finding zeroes of a quadratic.

You could do this several ways; find a way to factor it, guess and check, the quadratic formula or completing the square.  I will complete the square as that is what I am most used to.  If you would like to see another let me know.

The first step in completing the square is making sure the x^2 has a coefficient of 1, so now it has -5 so we have to factor out -5 from the equation.

-5x^2+20x+60 = -5(x^2 - 4x - 12)

Now you only really need to focus on the factored expression, but I will continue writing everything.  The next step is to find (b/2)^2 where b is the coefficient of the x term.  In this case -4.  so (b/2)^2 = (-4/2)^2 = 4.

Again, focusing on x^2 - 4x - 12 you want to add and subtract (b/2)^2 from that expression.  since you are adding and subtracting you are not changing the value, but we can use this.

-5(x^2 - 4x - 12) = -5(x^2 - 4x - 12 + 4 - 4)

Here you want to rearrange it a bit.  Originally c was the constant term, -12, now you want it to be the positive (b/2)^2, which is positive 4. also you can combine the two other constant terms.  the original c and -(b/2)^2, but I will hold off for now so I don't do too much at once.

-5(x^2 - 4x - 12 + 4 - 4) = -5(x^2 - 4x + 4 - 12 - 4)

Now you focus on x^2 - 4x + 4.  Hope fully you recognize this is the same as (x-2)^2.  This always happens at this step of the process.  also notice -2 = b/2.  Using only variables here are the first steps.

ax^2 + bx + c

a(x^2 + (b/a)x + (c/a))

a(x^2 + (b/a)x + (c/a) + (b/(2a))^2 - (b/(2a)^2)

a(x^2 + (b/a)x + (b/(2a))^2 + (c/a) - (b/(2a))^2)

a((x + b/(2a))^2 + (c/a) - (b/(2a))^2)

Again, being able to make x^2 - 4x + 4 into (x-2)^2 or x^2 + (b/a)x + (b/(2a))^2 into (x + b/(2a))^2 willa lways happen.  this is because if you expand (x + b/(2a))^2 you always get x^2 + (b/a)x + (b/(2a))^2.

Now I would combine the -12-4

-5(x^2 - 4x + 4 - 12 - 4) = -5((x - 2)^2 - 12 - 4) = -5((x - 2)^2 - 16)

If you redistribute the -5 you get vertex form, but I am going to stop here  because I will just undo that in the next step.  So this is the form you want.  Finally we can find when it equals 0.  So, you set this equal to 0 and use algebra to solve.

-5((x - 2)^2 - 16) = 0

Divide both sides by -5

(x-2)^2 - 16 = 0

add 16 to both sides

(x-2)^2 = 16

Take the square root of both sides, but also count botht he positive and negative version of the answer.  the reason is both 2 and -2 squared get you 4.

x - 2 = +/-4

I am using +/- to indicate I am using both positive and negative 4.  Now though add 2 to both sides.  since you have +/- 4 you are going to get two different results.  -4+2 and 4+2

x = -2 and 6.

now, the question wants times after x=0 (the start) so you only get 6.  so x=6, or in other words 6 seconds after launch.

Let me know if you have any questions.

Answer:

6

Step-by-step explanation:

sorry no step by step explanation because I’m in a rush please mark me as brainliest bye have a great day !!! :D

Use the drop-down menus to complete the statements to match the information shown by the graph.

Answers

The right answer is 1/2
Other Questions
What are two skills and strategies that you can use to foster and sustain healthy relationships? What are two red flags in an unhealthy relationship and what skills and strategies could you use to respond to unhealthy relationships if it happens to you or others around you?Who could you talk to if you were having a difficult time in your relationship? (*For any kind of relationship: romantic or friendship).PLS HELP AND THANK YOU :) the question is in the attachment. i know its not A because these angles are not opposite of each other. the state of NY has authority over its public schools because You have 88 grams of a radioactive kind of actinium. How much will be left after 44 years if its half-life is 22 years? A tablet and a digital camcorder are both on sale for 30% off. The regular price of the tablet is $185. The regular price of the camcorder is $140.Part AFind the sale price of the tablet. Explain.Part B.Dylan wants to buy both the tablet andthe camcorder. How much will he pay if he buys them during the sale? Which of the following provided the earliest written account of what life was like in North America?A.Henry Wadsworth Longfellow's poem The Song of HiawathaB.James Fenimore Cooper's novel The Last of the MohicansC.Thomas Jefferson's Declaration of IndependenceD.Christopher Columbus's first letter from the Americas 8)When an equation is correctly balanced, it must show conservation ofA)charge but not of massB)mass but not of chargeC)both charge and massD)neither charge nor mass Write the equation of a line that has a slope of 1/2and passing through the point (-8, 5) paul and ivan are riding a tandem bike together so snh cn 3+ cn 2 v cn 2 + cn 6 Which of the following citations correctly follows MLA guidelines?O A. Somanader, Tanya, "We Are Stronger Because We AreDemocracies': President Obama Addresses the People of Estonia."The White House Blog, 3 Sept. 2014. Web, 4 Sept. 2014,O B. Tanya Somanader, "We Are Stronger Because We AreDemocracies': President Obama Addresses the People of Estonia."The White House Blog, 3 Sept. 2014. Print. 4 Sept. 2014,C. Somanader, Tanya, The White House Blog, "We Are StrongerBecause We Are Democracies', President Obama Addresses thePeople of Estonia" 3 Sept. 2014. Web. 4 Sept. 2014,D. "We Are Stronger Because We Are Democracies': PresidentObama Addresses the People of Estonia" by Tanya Somanader,The White House Blog, 3 Sept. 2014. Web. 4 Sept. 2014, How are exponents and roots related? I need help with can you guys show me the work. How can you solve X^2 +2x=-1 FINANACE!!! WILL GIVE BRAINLIEST....10 POINTER Gas costs $3 per gallon at a nearby gas station. There is a gas station about an hour away that has gas for sale for $2.90 per gallon. Salvador plans to drive an hour to and from this gas station to fill his car up with 10 gallons of gas. What should Salvador understand before he launches into his plan?A. The $30 savings are worth the drive to the other gas station.B. He will save $3 by driving an hour to get the discount gas.C. He will likely lose money by driving an hour to get the discount gas.D. It is always better to buy something at the lowest price available. 33X14. Aadaki cmlelerin hangisinde ikilemeninoluum yolu dierlerinden farkldr?LA) amurda bata ka ilerlemeye altk.er-B) Denizde irili ufakl talar vard.C) Maamla iyi kt geinip gidiyoruz.D) Eski psk eyalar kenara ayrd.es? Which of the following items is an example of a symbol Bernice bobs her hair A tortoise and hare are competing in a 1000 meter race. The function f and g are such that f(t) represents the tortoise's distance from the finish line (in meters) t seconds after the start of the race and g(t) represents the hare's distance from the finish line (in meters) t seconds after the start of the race. If we want to compute the number of seconds needed for the hare to finish the race, which procedures should be used? A candy bar sells for 4 for $5. How many can be bought for 20 dollars?100 bars80 bars16 bars4 bars Find the volume of a pyramid with a square base, where the perimeter of the base is 16.9\text{ cm}16.9 cm and the height of the pyramid is 19.6\text{ cm}19.6 cm. Round your answer to the nearest tenth of a cubic centimeter.