the slope of the line that passes through the points (-6,-4) and (-12,-4)

[tex]y = 9x + \dfrac 94 \\\\\text{The above equation is in a form of y=mx + b, where b is the y - intercept}\\\\\\\text{Hence the y-intercept is }~ \dfrac 94[/tex]

Bottom left as it's measurements and shape are the closest to the one Jan has

The probability of an event occurring is given by the ratio of the number of

possible outcome to the number of required outcome.

Reasons:

First question:

The number of faces in a coin = 2; A head or a tail

The probability that the first coin lands on heads, P(H) = [tex]\dfrac{1}{2}[/tex]

The probability that the second coin lands on tails, P(T) = [tex]\dfrac{1}{2}[/tex]

The probability that the first coin lands on heads and the second coin lands

on tails = P(H ∩ T)

Which gives;

[tex]P(H \cap T) = \dfrac{1}{2} \times \dfrac{1}{2} = \dfrac{1}{4}[/tex]

The probability that the first coin lands on heads and the second coin lands on tails = [tex]\dfrac{1}{4}[/tex] = 0.25

Second question:

The number of black cards in a pack of 52 = 26 cards

The number of cards that are a 8 in a pack of 52 cards = 8 cards

[tex]\mathrm{The \ probability \ of \ drawing \ a \ black \ card}, \ P(B) = \dfrac{26}{52} = \dfrac{1}{2}[/tex]

[tex]\mathrm{The \ probability \ of \ drawing \ a \ 8,} \ P(8) = \dfrac{8}{52} = \dfrac{2}{13}[/tex]

The probability of drawing a black card and then an 8, P(B∩8), is given as follows;

[tex]P(B \cap 8) = \dfrac{1}{2} \times \dfrac{2}{13} = \dfrac{1}{13}[/tex]

The probability of drawing a black card and then a 8 is P(B∩8) = [tex]\underline{\dfrac{1}{13}}[/tex]

Third question:

The probability that a number chosen between 0 and 9 is 4, P(4) = [tex]\dfrac{1}{9}[/tex]

The number of consonant in the alphabet = 21

The probability that a letter chosen from A to Z is a consonant, P(C) = [tex]\dfrac{21}{26}[/tex]

The probability that the number chosen is 4 and the letter chosen is a consonant, P(4 ∩ C)  = [tex]\dfrac{1}{9} \times \dfrac{21}{26} = \underline{ \dfrac{21}{234}}[/tex]

Fourth question:

The number of even numbers on a die = 3; (2, 4, 6)

The number of numbers less than 2 on a die = 1

The probability that the first die lands on an even number, P(E) = [tex]\dfrac{3}{6}[/tex]

The probability that the second die is less than 2. P(<2) = [tex]\dfrac{1}{6}[/tex]

Therefore;

The probability that the first die lands on an even number and the second die is less than 2, P(E ∩ <2) = [tex]\dfrac{3}{6} \times \dfrac{1}{6} = \dfrac{3}{36} = \underline{\dfrac{1}{12}}[/tex]

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Answer:

D i think sorry if wrong

Step-by-step explanation:

Answer:

138

Step-by-step explanation:

Step-by-step explanation:

Line A : x + y = 2

The most likely equation for line B so that the set of equation has no solution is:  

x + y = 4

====

x + y = 2

x = 2 - y

2-y + y = 4

0 = 4 - 2

0 ≠ 2

there is no value for x nor y. so, no solution.

To Prove:-

JK=IJ

JK= ½IK = IJ= ½IK

JK= IJ(Equal Distance)

GK//HI (Parallel)

Therefore, JK congruent IJ

Hope This Helps

Answer:

  a) 625; 625; right triangle

  b) 205; 256; obtuse triangle

Step-by-step explanation:

The squares are values found in your memory or using a calculator. It is straightforward addition to find their sum.

7² +24² = 49 +576 = 625

25² = 625

The sum of the squares of the short sides is the square of the long side, so this is a right triangle.

__

6² +13² = 36 +169 = 205

16² = 256

The long side is longer than is needed to form a right triangle, so the largest angle is more than 90°. This is an obtuse triangle (as shown).

Answer:

7.4 x 10 to the 9th power

Step-by-step explanation:

At the end of numbers, there is a decimal point. when writing in function notation, you bring the point to the left or to the right depending on if it is a negative or a positive number

in this problem, you are dealing with a positive number, so bring the decimal point to the left. count how many numbers it takes to get in between, in this number, 7 and 4. it takes 9 spaces to the left. now the decimal point has been moved, your number goes from 7,400,000,000 to 7.4 x 10 to the 9th power(7.4 x 10^9)

Answer: i think 1/4

Step-by-step explanation: maybe i might be incorrect

Answer:

3/4 or 1 1/2

This is an easy mutiplixation problem

you just turn the 2 into a fraction.

Applying the leg rule, the value of z in the right triangle given is: √30 units.

The leg rule states that, hypotenuse/leg = leg/part.

Given the following:

Plug in the values into the leg rule:

10/z = z/3

z² = (10)(3)

z² = 30

z = √30 units

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Answer:

y+3=-6(x+8)

Step-by-step explanation:

Because we already know a point and the slope, we can put our equation in the form y-y1=m(x-x1);

y+3=-6(x+8)

The exponential form of the logarithmic equation 4 = [tex]log_{0.7} (0.2401)[/tex] is

0.7⁴ = 0.2401

4 = [tex]log_{0.7} (0.2401)[/tex]

The exponential form of the logarithmic equation can be represented below:

Using logarithm rules,

logₐ b = x

Can be represented in exponential form as follows:

aˣ = b

Therefore,

4 = [tex]log_{0.7} (0.2401)[/tex]

using the logarithm rule described above can be represented in exponential form as follows:

0.7⁴ = 0.2401

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Answer:

0.7⁴ = 0.2401

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

The triangles are congruent. Also, a triangle has a sum of 180 degrees for its interior angles.

Angles D and A are both unknown.

Angles O and P are both 55.

Angles G and W are both 37.

37+55 = 92

That means there would be 88 degrees left for the unknown angle to get to the total of 180 degrees.

92 + 88 = 180

The average rate of change of the function is -59.4

The formula for calculating the rate of change of the function is expressed as:

[tex]f'(x)=\frac{f(b)-f(a)}{b-a}[/tex]

Given the function

[tex]f(x)=120(0.1)^x\\f(0) = 120(0.1)^0\\f(0)=120\\[/tex]

Get the value of f(2)

[tex]f(2)=120(0.1)^2\\f(2) = 120(0.1)^2\\f(2)=1.2\\[/tex]

Substitute into the formula to have:

[tex]f'(x)=\frac{1.2-120}{2-0}\\f'(x)=\frac{118.8}{2} \\f'(x)= -59.4[/tex]

Hence the average rate of change of the function is -59.4

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Answer:

A = 2.42 sq. meters

Step-by-step explanation:

13 feet = 13 × 0.305 = 3.965 meter

2 feet = 2 × 0.305 = 0.61 meter

A = lw

A = (3.965) × (0.61)

A = 2.41865 sq. meters

A = 2.42 sq. meters

The distance around a circle is the circumference.

Circumference = Pi x diameter.

Circumference = 3.14 x 48

Circumference = 150.72 inches

Round the answer as needed.

Answer:

12 laps

Step-by-step explanation:

15÷4=3.75

45÷12=3.75

not sure whether it's true or not but at least I got the answer-

Answer:

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

p = 2

q = 6

r = 16

x = 5 feet

Step-by-step explanation:

The perimeter of the rectangle is

In your case,

Width = 3 feet

Length = x feet

So, the perimeter is

Since the perimeter is 16 feet, we have

Hence,

p = 2

q = 6

r = 16

Solve this equation for x:

Answer:

  q

-------- = x

t - w

Step-by-step explanation:

Isolate (q/x) on the right side of this equation, by subtracting w from both sides.  Then:

t - w = q/x, or

t - w       q

------- = -----

   1         x

Next, invert this equation.  We get

   1           x

--------- = -----

t - w        q

Finally, multiply both sides by q:

  q

-------- = x

t - w

Answer:

2 imaginary roots

Step-by-step explanation:

The discriminate is the portion of the quadratic equation under the square root

D = b^2 - 4ac

D = 8^2 - 4(2)(16)

D = 64 - 128

D = -64

Since the discriminate is negative the square root will be imaginary

and there will be 2 of them

2 imaginary roots

9514 1404 393

Answer:

Step-by-step explanation:

The discriminant of ax² +bx +c = 0 is b²-4ac. Here, we have ...

  a=2, b=8, c=16

so, the discriminant is 8² -4(2)(16) = 64 -128 = -64

A negative discriminant indicates there are two conjugate complex roots.

The intersection of a line segment's two endpoints is known as the midpoint. From the midpoint to one endpoint and the midpoint to the other endpoint, you will be given two equal distances.

The formula for calculating the midpoint is given below:

For example, let us try solving this sample problem below using the midpoint formula:

Sample problem: A new transmission tower will be put up midway between two existing towers. On a map drawn on a coordinate plane, the coordinates of first existing tower are (-5, -3) and the coordinates of the second existing tower are (9, 13). What are the coordinates of the point where the new tower will be placed?

From inspection on the given problem:

Substitute the given values into the midpoint formula and solve for M:

Therefore, the coordinates of the point are (2, 5).

[tex]\\[/tex]

Now, wasn't that easy? Try this other sample problem:

From the sample problem above, you may solve it on your own to enhance your skill on calculating the midpoint.

Cheers!

Answer:

z = 9 I think

Step-by-step explanation:

Because I did the quiz

Two points which can be identified from this information are; (4, 5.50) and (9, 8.00).

According to the question;

In essence, the information provided can be used to provide two points as follows; (4, 5.50) and (9, 8.00).

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Answer: y=-1/4x+4

Step-by-step explanation:

slope goes down 1, and right 4 so it's -1/4. Y-intercept is positive 4 so it will be +4

Answer:

What is countercurrent multiplication? ... Countercurrent multiplication in the kidneys is the process of using energy to generate an osmotic gradient that enables you to reabsorb water from the tubular fluid and produce concentrated urine.

15 to 19 was about a 27% in increase