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aev [14]
4 years ago
12

A.

Mathematics
2 answers:
enot [183]4 years ago
8 0

Answer:

y = 5/2x

y = 35/2

Step-by-step explanation:

direct variation

y = kx

Substitute the values for x and y

15 = k(6)

Divide each side by 6 yo find k

15/6 = k

5/2 = k

The equation is y = 5/2 x

Now we know x =7

y = 5/2(7)

y = 35/2

rosijanka [135]4 years ago
6 0

Answer:

y is 15

Step-by-step explanation:

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4 0
4 years ago
Triangle ABC has vertices at A(−1 , 2), B(4, 2), and C(3, −1). Classify the triangle according to the side lengths.
Orlov [11]

Answer:

B) Isosceles

Step-by-step explanation:

The given triangle has vertices at A(-1,2), B(4,2) and C(3,-1).

We must first determine the length of the sides of the triangle, before we can classify it.

We apply the distance formula to find length of the sides.

|AB|=\sqrt{(4--1)^2+(2-2)^2}

\Rightarrow |AB|=\sqrt{(4+1)^2+(2-2)^2}

\Rightarrow |AB|=\sqrt{5^2+(0)^2}

\Rightarrow |AB|=\sqrt{25}

\Rightarrow |AB|=5 units.

The length of side BC

|BC|=\sqrt{(3-4)^2+(-1-2)^2}

\Rightarrow |BC|=\sqrt{(-1)^2+(-3)^2}

\Rightarrow |BC|=\sqrt{1+9}

\Rightarrow |BC|=\sqrt{10}

The length of side AC

|AC|=\sqrt{(3--1)^2+(-1-2)^2}

We simplify to obtain;

|AC|=\sqrt{(3+1)^2+(-3)^2}

\Rightarrow |AC|=\sqrt{(4)^2+(-3)^2}

|AC|=\sqrt{16+9}

|AC|=\sqrt{25}

|AC|=5\:units

Since |AC|=5\:units=|AB|, the given triangle is an isosceles triangle.

The correct answer is

6 0
4 years ago
Read 2 more answers
-1/4d-2/5d=39 <br> Solve for d <br> Please explain I don’t understand
Papessa [141]

Given:

The equation is

-\dfrac{1}{4}d-\dfrac{2}{5}d=39

To find:

The value of d.

Solution:

We have,

-\dfrac{1}{4}d-\dfrac{2}{5}d=39

Taking LCM, we get

\dfrac{-5d-8d}{20}=39

\dfrac{-13d}{20}=39

Multiply both sides by 20.

-13d=39\times 20

Divide both sides by -13.

d=\dfrac{39\times 20}{-13}

d=-3\times 20

d=-60

Therefore, the value of d is -60.

4 0
3 years ago
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antiseptic1488 [7]
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3 years ago
Based on the data from three annual checkups, Jon’s mean height is 62 in. At the first two checkups, Jon’s height was 58 in. and
Vadim26 [7]

Answer:

  b.  67

Step-by-step explanation:

In order for the average to be 62, the total of differences from 62 must be zero. The two given numbers have differences of -4 and -1, for a total of -5. In order for the total of differences to be zero, the third number must have a difference from 62 of +5. It must be 62+5 = 67.

Jon's height at his third checkup was 67 inches.

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3 years ago
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