What is the slope of a line parallel to y = -5x + 2?
Answer:
-5
Step-by-step explanation:
Parallel lines have the same slope, so it would just be -5
(02.01)The figure shows Triangle ABC and some of its transformed images on a coordinate grid:
Which of the four triangles was formed by a translation of Triangle ABC?
A:1
B: 2
C: 3
D:4
WILL GIVE BRAINLIEST! Find an equation of the circle and sketch it if it has: Tangent to y-axis, r=5, contains (10, 7)
Center = (5,7)
Radius = 5
======================================================
Explanation:
The circle must be tangent to the y axis, and it has a radius of 5, so that means the center (h,k) must either be on the line x = 5 or x = -5, since those vertical lines are exactly five units away from the y axis.
But we're also told that (10,7) must be on the circle. That rules out x = -5 because the distance from (10,7) to (-5,k) is going to be larger than 5. I recommend drawing out a right triangle to see why this is the case.
So the center (h,k) must be on the line x = 5.
The center is the point (h,k) = (5,k)
Plug that h value along with (x,y) = (10,7) and r = 5 into the equation below
Solve for k.
(x-h)^2 + (y-k)^2 = r^2
(x-5)^2 + (y-k)^2 = 5^2 .... plug in h = 5 and r = 5
(10-5)^2 + (7-k)^2 = 25 ... plug in x = 10 and y = 7
25 + (7-k)^2 = 25
(7-k)^2 = 25-25
(7-k)^2 = 0
7-k = sqrt(0)
7-k = 0
-k = 0-7
-k = -7
k = 7
The center is (h,k) = (5,7)
We have (x-h)^2 + (y-k)^2 = r^2 updating to (x-5)^2 + (y-7)^2 = 25
The equation of the circle is (x-5)^2 + (y-7)^2 is25 . The center of the circle is Center is (5,7) .Radius of the circle is 5
What is equation of the circle?Circle's basic equation is represented by:
(x-h)2 + (y-k)2 = r2
where the radius is r and the circle's center's coordinates are (h,k).
Let's first consider what a circle is before determining its equation. A circle is a collection of all points in a plane that are uniformly distanced from a fixed point. The fixed point is referred to as the circle's center. The radius of a circle is the separation between the center and any point along its circumference. In this article, we'll explain what a circle's equation looks like in standard form and show you how to calculate a circle's equation when its center is both the origin and another point.
The center (h,k) of the circle, which must be tangent to the y axis and have a radius of 5, must either be on the line x = 5 or x = -5 since both vertical lines are both located exactly five units from the y axis.
The need that (10,7) be on the circle is also stated, though. That eliminates the possibility of x = -5 because the distance from (10,7) to (-5,k) will be more than 5. To understand why this is the case, I advise you to sketch a right triangle.
Therefore, the line x = 5 must contain the center (h,k).
The point (h,k) = is the center (5,k)
Given ,
In the equation below, enter that h value along with (x,y) = (10,7) and r = 5.
Calculate k using the formula.
(x-h)^2 + (y-k)^2 = r^2
(x-5)^2 + (y-k)^2 = 5^2 add a h = 5 and r = 5 plug.
(10-5)^2 + (7-k)^2 = 25 Input x = 10 and y = 7
25 + (7-k)^2 = 25
(7-k)^2 = 25-25
(7-k)^2 = 0
7-k = sqrt (0)
7-k = 0
-k = 0-7
-k = -7
k = 7
(h,k) = is the center (5,7)
Updated to (x-5) + (y-7) = 25, we have (x-h) + (y-k) = r2.
Therefore The equation of the circle is (x-5)^2 + (y-7)^2 is25
To learn more about equation of the circle refer to:
https://brainly.com/question/24810873
#SPJ2
Consider a geometric sequence with a first term of 4 and a fourth term of -2.916.
a) Find the common ratio of this sequence.
b) Find the sum to infinity of this sequence.
Answer:
a) Find the common ratio of this sequence.
Answer: -0.82
b) Find the sum to infinity of this sequence.
Answer: 2.2
Step-by-step explanation:
nth term in geometric series is given by [tex]4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{0.549} \\r = 0.82[/tex]
where
a is the first term
r is the common ratio and
n is the nth term
_________________________________
given
a = 4
4th term = -2.196
let
common ratio of this sequence. be r
[tex]4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{-0.549} \\r = -0.82[/tex]
a) Find the common ratio of this sequence.
answer: -0.82
sum of infinity of geometric sequence is given by = a/(1-r)
thus,
sum to infinity of this sequence = 4/(1-(-0.82) = 4/1.82 = 2.2
WILL GIVE BRAINLIEST If a triangle is acute, then all three angles have a measure of 60°. Provide a counterexample to show that the statement is false. A) The three angles could be 30°, 30°, and 30° B) The three angles could be 30°, 60°, and 90° C) The three angles could be 30°, 70°, and 80° D) The three angles could be 30°, 30°, and 120°
Answer:
Answer C
Step-by-step explanation:
This is because acute triangles have angles that are under 90 degrees and Option A would be true to what you are trying to make false and B & D are false because they have angles that go over 90 degrees.
The other statements that provide contradiction to the given expression are option (B) and (C).
What is a acute triangle?An elementary polygon having three sides and three vertices is a triangle. There are three internal angles since it has three sides. An acute angle is one that ranges in measurement from 0° to 90°. A form of triangle called an acute triangle has acute angles at each of its three internal angles.
In the option (A),
the three angles could be 30°, 30°, and 30°.
These angles contradict the basic property of triangle.
Which is sum of all the triangles are 180°.
In the option (B),
the three angles could be 30°, 60°, and 90°.
The above angles hold the property of an acute triangle.
In the option (C),
The three angles could be 30°, 70°, and 80°.
The above angles also hold the property of an acute triangle.
In the option (D),
The three angles could be 30°, 30°, and 120°.
Angle 120° greater than 90°.
This statement contradicts the basic property of an acute triangle.
Therefore, the other statements that provide contradiction to the given expression are option (B) and (C).
To learn more about the acute triangle;
https://brainly.com/question/1311149
#SPJ2
what is -8 = 7 - 3/2 x
Help please will mark brainliest for correct answer!
Your weld settings are 17.5 volts and 125 amps. use ohm's law to count how much resistance is in your welding circuit.
Answer:
0.14 ohmsStep-by-step explanation:
We know that ohms law is given by the expression
V=IR
In the problem, we are given that
voltage v= 17.5volts
currents I=125 amps
Substituting our data into the expression we have
17.5=125*R
R=17.5/125
R=0.14 ohms
Hence the current is 0.14 ohms
NEED HELP IM BEGGING YOU PLEASE !!!!!!
Step-by-step explanation:
what help do you need????
Answer:
i believe the answer is 569/115
IF 48% of the students in a class are girls:
that percentage are boys?
Represent the percentage of boys as a fraction in it's lowest term
The percentage is 52% and the fraction is 13/25
Convert 50.0 mL to liters. Use the appropriate significant figures
Answer:
50 ml = 0.050 liters
Step-by-step explanation:
The solution is:
The mass/volume percent = 16/50 x 100% = 32%
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
Explanation
Given:
Mass of NaCl, m = 16.0 g
Volume of solution, v = 50.0 mL
What to find:
The mass/volume percent.
Solution
The mass/volume percent of the solution can be calculated using the formula below
The mass/volume percent = mass/volume x 100%
so, we get,
The mass/volume percent
= 16/50 x 100%
= 32%
Hence, The mass/volume percent is 32%.
To learn more on volume click :
brainly.com/question/1578538
#SPJ2
complete question;
Calculate the mass/volume percent (m/v) of 16.0 g NaCl in 50.0 mL of solution.Express your answer to three significant figures.
How is solving literal equations like solving equations in one variable
Answer:
When given a literal equation, you will often be asked to solve the equation for a
given variable. The goal is to isolate that given variable. The process is the same
process that you use to solve linear equations; the only difference is that you will
be working with a lot more letters, and you may not be able to simplify as much as
you can with linear equations. This packet will hopefully show you the process in a
simple manner so that you will be able to solve literal equations yourself. See
examples before for the method to solving literal equations for a given variable:
Answer:
Step-by-step explanation:
To solve a literal equation means to rewrite the equation so a different variable stands alone on one side of the equals sign. We have to be told for which variable we want to solve.
Linear equations in one variable may take the form a x + b = 0 \displaystyle ax+b=0 ax+b=0 and are solved using basic algebraic operations. We begin by classifying linear equations in one variable as one of three types: identity, conditional, or inconsistent. An identity equation is true for all values of the variable.
I hope this helps. Sorry if I could not answer your question!
Given Sine (t) = StartFraction 7 Over 25 EndFraction for StartFraction pi Over 2 EndFraction less-than t less-than pi, what is Cosine (t)?
Answer:
Answer is -24/25.
Step-by-step explanation:
Got it right on egde2020
The value of cos (t) is - (24/25), as per the relation between the sine and cosine of an angle.
What is the relation between the sine and cosine of an angle?For any angle 'Ф', the relation between the sine and cosine of an angle is:
sin² (Ф) + cos² (Ф) = 1, when 0 < Ф < (π/2)
Given equation,
sin (t) = (7/25), for (π/2) < t < π
Here, 't' is in the second quadrant.
Therefore, sine is positive here.
However, cosine is negative there.
Therefore, the value of cos (t) is
= - √[1 - sin² (t)]
= - √[1 - (7/25)²]
= - √[1 - (49/625)]
= - √(576/625)
= - (24/25)
Learn about the relation between the sine and cosine of an angle here: https://brainly.com/question/8339068
#SPJ2
please please help me!!
Answer:
C. f(x)=3x-4
Step-by-step explanation:
slope formula is (y2-y1)/(x2-x1)
(-1+4)/(-1-0)
3/1=3
The slope is going up and to the right so it is positive
After completing 9 levels of his favorite video game, Sam had found 6 coins. How many coins will Sam have found after completing for 24 levels?
Answer:
I'm pretty sure it is 16 coins.
Step-by-step explanation:
What I did was to divide 24 levels by 9 levels and I got, specifically, 2.66666666667. Then I multiplyed it by 6 and got 16. Hope it helps.
A number divided by −8 is 22. Find the number.
Answer:
divide 22 by -8
it equals
-2.75
hope this helps :)
If Syn spends 15 minutes running, he burns 200 calories. How long will it take Syn to burn 150 calories?
Answer:
11 minutes and 15 seconds (11.25 minutes/ 11 and 1/4)
Step-by-step explanation:
create the corresponding ratio by dividing 200 by 15, 200 calories per 15 minutes. Which equates to 40 calories every three minutes which means 40/3 or 13 1/3 calories every minute. You can verify this by multiplying 15 and 40/3 to get 200 again.
The last step is to divide the calories burned by the corresponding ratio (40/3)
150/(40/3) = 11.25
and .25 or 1/4 of 60 seconds(in a minute) is 15 since 60/4 = 15.
The food truck also offers catering services. The food truck makes different kinds of salads for parties and other events. Tammy looks at the paper menu to
decide what to buy
Macaroni Salad
$5 per pound
Potato Salad
$8 por pound
Tammy will order both macaroni and potato salad. She estimates that she will spend a total of 538 on 7 pounds of salad. She uses this system of equations to
show how many pounds of macaroni salad, m, and potato salad, p, she plans to buy.
5m +6p = 38
m+p=7
How many pounds of each salad does Tammy plan to buy?
Answer:
4 pounds of mac 3 pounds of potato
Step-by-step explanation:
5+6=11+5+6=22+5+6=33+5=38
A factory used 72 kg of tomatoes to make 8 batches of pasta sauce. What quantity of tomatoes did the factory put in each batch?
Answer:
9 kg in each patch
Step-by-step explanation:
because total quantity of tomatoes is 72kg and factory going to make only 8 batches of pasta sauce.therefore 72÷8=9
1 point
Officer Cooter spent half of the money in his wallet going to the movies. After the movies, he found 6 dollars in the dryer while doing his laundry
and put it in his wallet. How much money did he start with in his wallet if he ended with 16 dollars?
Choose the equation from the following list and solve.
16 = 2 + 6
16 = -6
16 = +6
16 = 2r - 6
Officer Cooter started with $ type your answer...
in his wallet
Answer:
34
Step-by-step explanation:
what is 8 1/2 times 11
Answer:
93 1/2
Step-by-step explanation:
f(x)=-x+9
That’s it I just need someone to help me with my math homework
What is the approximate area of the circle shown below ? 17cm
Answer:
It's B, 908cm^2
Step-by-step explanation:
A=3.14xr^2.
Answer:
The answer is B, 908cm²
Step-by-step explanation:
Just Completed This quiz
At Penny's Pie Shop, it costs $4 for 1/4 of a pie. What is the cost of a whole pie? Simplify your answer and write it as a proper fraction, mixed number, or whole number.
Answer:
$16
Step-by-step explanation:
Answer: its was he/she said which $16
Step-by-step explanation: there is none :)
Michael to 12 test in his math class. His lowest test score was 78. His highest test score was 98. On the 13th Test,? He earn a 64. Select whether the value of each statistic for his test scores increase, decrease, or cannot be determined when the last test score was added
Complete question :
Michael took 12 tests in his math class. his lowest score was 78. his highest score was 98. on the 13th test, he earned a 64. put a check in the correct box to indicate whether the value of each statistic below for his test scores increased, decreased, or cannot be determined when the last score was added.
1. Standard deviation 11) Median 111) Mean
Answer:
Standard deviation - increased
Median - cannot be determined
Mean - decrease
Step-by-step explanation:
The standard deviation will increase because the new (13th) test score does not fall within the range (lowest and highest) of the 12 previous test scores and will hence further increase the variability of the s ires measured
The Median cannot be determined as we need the data for the scores in other to determine the middle value of the test scores.
The mean value will decrease further because, when a score (64) lower that the previously recorded least score (78) is recorded and then the sum is recalculated and average taken. This low new score will cause the new to decrease further than previously recorded.
The value of the mean decreases, the median cannot be predicted, and the value of the standard deviation increases.
What are statistics?Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.
Michael to 12 tests in his math class.
His lowest test score was 78.
His highest test score was 98.
On the 13th Test, he earns a 64.
Then the mean will decrease because he earns a 64 on the 13th test. That is lower than his lowest score.
The standard deviation will increase because the gap between the mean and 64 will increase.
The Median cannot be determined as we need the data for the scores in other to determine the middle value of the test scores.
More about the statistics link is given below.
https://brainly.com/question/10951564
PLEASE HELP ASAP for 8 points
Best answer will be marked as Brainliest
Plz hurry
Answer:
∠COS = 30°
Step-by-step explanation:
∠BPO = 120° + x
∠COS = x
Alternate Interior/Exterior is congruent if two parallel lines are intersected by a transverse.
∠BPO = ∠COP
∠COP = 120° + x
∠COP + ∠COS = 180°
120° + x + x = 180°
120° + 2x = 180°
2x = 60°
x = 30°
Please help brainliest and 63 points!
Answer:
[tex]x = 0[/tex] and [tex]x = -2[/tex]
Step-by-step explanation:
[tex]\frac{x}{2} = \frac{{x}^2}{x-2}[/tex]
Use cross multiplying to solve the equation.
[tex]x(x-2) = 2({x}^2)[/tex]
[tex]{x}^2 - 2x = 2{x}^2[/tex]
[tex]2{x}^2-{x}^2+2x = 0[/tex]
[tex]{x}^2 + 2x = 0[/tex]
Now factor it.
[tex]x(x+2) = 0[/tex]
Now split into two equations:
Equation A:
[tex]x = 0[/tex]
Equation B:
[tex]x + 2 = 0[/tex]
[tex]x = 0 -2[/tex]
[tex]x = -2[/tex]
Therefore, the solutions are x = 0 and x = -2.
Hope this helped! If not, please let me know! <3
what is -0.5 repeating(5 in the tens place is repeating) as a fraction?
Answer:
-1/2
Step-by-step explanation:
someone please help me asap
Answer: I think it’s 3868000000
Step-by-step explanation:
You move the decimal 9 places to the right
Which set of ordered pairs does not represent a function?
A.(0, 0), (2, 2), (5,5)
B.(0, 1), (3, 4), (4,3)
C. (1, 2), (3, 2), (7, 2)
D.(2,3), (3,5), (3,7)
Answer:
C does not represent a function
Step-by-step explanation:
you find 2 for each y- coordinate. Whenever you have a reputation in number for y axis means its not a function
What is 100% written as a decimal?
Answer:
100 percent written as a decimal would just be 1
Step-by-step explanation:
For example, 50% is 0.50 in decimal form that would make 100% well, 1.0
Hope this helps and have a great day!
You got this :)