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Sauron [17]
2 years ago
12

Which equation represents the relationship shown in the table?

Mathematics
2 answers:
Mila [183]2 years ago
5 0
Y=4x because 20/5 equals 4
zysi [14]2 years ago
4 0

Answer:

The equation  is y = 4x

Step-by-step explanation:

From the table we can pick any 2 points (x_1,y_1) \ \text{ and } \ (x_2, y_2) such, we can obtain the slope of the line given 2 points using the following equation

m  = \cfrac{y_2-y_1}{x_2-x_1}.

Then we can compare  to the given options, or alternatively find the y-intercept using any point of the line, to get a line equation that looks like y = mx+b

Finding the slope.

We can pick the first 2 points, that is (1,4) and (5, 20).

Replacing them on the slope equation give us,

m=\cfrac{20-4}{5-1}

Simplifying we get

m=\cfrac{16}{4}\\m=4

Thus the only option that has slope 4 is the line equation y = 4x which is the right answer for the exercise.

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Which is the equation that can be used to find the volume of any prism?<br> (Geometry)
SpyIntel [72]

Answer:

V=Bh

Step-by-step explanation:

thare are muliple ways to use this equation like V=Bh

V=1/2Bh or V=1/3Bh

5 0
2 years ago
What is the equation of a line perpendicular to the line y=(4/9)x-2 that passes through the point (4,3)?
Hoochie [10]
<span>y=(4/9)x-2
This is in slope intercept form (y=mx+b), where m is the slope. 
A perpendicular line will have the opposite reciprocal of the slope.
So if the slope here is 4/9, then the perpendicular line's slope will be -9/4.

Now that you have the slope (-9/4) and a point (4, 3), you can use the point-slope formula to find the equation.
y - y</span>₁ = m(x - x₁)
y - 3 = (-9/4)(x - 4)
y - 3 = (-9/4)x + 9
y = (-9/4)x + 12

So the answer will be:
C. <span>y= -(9/4)x+12</span>
3 0
3 years ago
Rylan paid a total of $2,961.00, including principal and interest, over an 11-month period, to pay off his credit card. Choose t
bonufazy [111]

Answer: I would go with C

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3 0
2 years ago
Alyssa took a math test with 20 questions and she answered 16 questions correctly. In order get an A, she needs to answer at lea
ElenaW [278]
A. Alyssa did not get an A on the math test but rather a B- due to only getting 16 out of the 20 problems right. This can be found out by dividing the amount correct over the total amount of problems.

B. In order for Alyssa to get an A or 90% on her math test she would have had to get two more questions right to have a score of 18 out of 20.

C. In order to figure this question out you have to think that with every incorrect answer that Jessie answered she got three correct along with the one incorrect. By going with that information it can be figured that Jessie's score is 15 correct answers and 5 incorrect information if you go by the ratio 3:1 then go up tell the sides equal up to a total of 20 after being added. So Jessie's score again was 15 out of 20.
7 0
3 years ago
Read 2 more answers
2. Why does the sin Ɵ = cos (90 – Ɵ)?<br><br><br> Show steps
Troyanec [42]

Answer:

R.H.S:

= cos ( 90 - theta )

= cos (90) cos(theta) + sin(90) sin(theta)

= 0 + sin(theta)                                                       =>[ cos(90) = 0   ,  sin(90) = 1]

= sin(theta)

8 0
2 years ago
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