All categories

4 years ago

A direct variation function contains the points (-9, -3) and (-12, -4) Which equation represents the function?

Mathematics

1 answer:

Bezzdna [24]4 years ago

8 0

Answer:

y = $\frac{1}{3}$ x

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use either of the 2 given points

Using (- 9, - 3), then

k = $\frac{y}{x}$ = $\frac{-3}{-9}$ = $\frac{1}{3}$

y = $\frac{1}{3}$ x ← equation of function

You might be interested in

28 is 70% of what number?

sleet_krkn [62]

Use the equation 28/.70 and you should get your answer

7 0

3 years ago

Read 2 more answers

Complete the equation of the line through (-6,-5)(−6,−5)(, minus, 6, comma, minus, 5, )and (-4,-4)(−4,−4)(, minus, 4, comma, min

alina1380 [7]

Answer:

$y=\frac{1}{2}x-2$

Step-by-step explanation:

We have been given two points on a line $(-6,-5)$ and $(-4,-4)$ . We are asked to write an equation passing through these points.

We will write our equation in slope-intercept form of equation $y=mx+b$ , where,

m = Slope of line,

b = Initial value or the y-intercept.

Let us find slope of given line using slope formula.

$m=\frac{y_2-y_1}{x_2-x_1}$

Let point $(-6,-5)=(x_1,y_1)$ and point $(-4,-4)=(x_2,y_2)$ .

$m=\frac{-4-(-5)}{-4-(-6)}$

$m=\frac{-4+5}{-4+6}$

$m=\frac{1}{2}$

Now, we will substitute $m=\frac{1}{2}$ and coordinates of point $(-6,-5)$ in slope-intercept form of equation as:

$-5=\frac{1}{2}*(-6)+b$

$-5=-3+b$

$-5+3=-3+3+b$

$-2=b$

Upon substituting $m=\frac{1}{2}$ and $b=-2$ in slope-intercept form of equation, we will get our required equation as:

$y=\frac{1}{2}x-2$

Therefore, our required equation would be $y=\frac{1}{2}x-2$ .

8 0

3 years ago

How to find unknown side

Elan Coil [88]

Answer:

C = 10

Step-by-step explanation:

Find the last side of the triangle using the Pythagorean theorem.

$a^{2} +b^{2} =c^{2}$

You have a and b already, a = 6, b = 8

$6^{2} +8^{2} =c^{2} \\\\$

solve this to get

$64 + 36 = \sqrt{100}$

C = 10

Apply the same to the other 2 triangles. C is your longest side!

3 0

3 years ago

A psychologist wishes to conduct a study on the effects of music deprivation on high school students. A high school class consis

tatyana61 [14]

Answer:

Quincy

Step-by-step explanation:

Each student is assigned a two digit number, so let's split the random number line into two digit numbers:

59, 78, 44, 43, 12, 15, 95, 40, 92, 33, 00, 04, 67, 43, 18, 02, 61, 05, 73, 96, 16, 84, 33, 84, 54

Now let's identify the numbers between 00 and 29.

59, 78, 44, 43, 12, 15, 95, 40, 92, 33, 00, 04, 67, 43, 18, 02, 61, 05, 73, 96, 16, 84, 33, 84, 54

So the fifth student in the list is #18, or Quincy.

3 0

3 years ago

Read 2 more answers

If five times a number plus two is 17, what is the number? A. 7 B. 5 C. 3 D. 2

Artemon [7]

C=3
because 5 times 3 + 2+17

5 0

3 years ago

Read 2 more answers