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3 years ago

Rewrite the equation as y-2=-2/3(x-(-1)) to identify a point on the graph

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

7 0

Answer:

point (-1, 2)

Step-by-step explanation:

Your equation is shown here in point-slope form, so a point on the graph can be read from the given equation. (No further rewrite is necesary.)

The point-slope form is ...

y -k = m(x -h)

Comparing this to your given equation ...

y -2 = (-2/3)(x -(-1))

we see that ...

k = 2, m = -2/3, h = -1

The point on the graph is (h, k) = (-1, 2).

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2/1/4x = - 13/1/8
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3 years ago

Emily has $3.15 worth of dimes and quarters. She has twice as many dimes as quarters. Determine the number of dimes and the numb

Cerrena [4.2K]

Answer:

The number of dimes is 14 and the number of quarters is 7.

Step-by-step explanation:

Given:

Emily has $3.15 worth of dimes and quarters.

She has twice as many dimes as quarters.

Now, to determine the number of dimes and the number of quarters.

Let the number of quarters be $x.$

And the number of dimes be $2x.$

So, the total worth of dimes and quarters = $3.15.

Now, to get the number of dimes and quarters:

According to question:

$0.10(2x)+0.25x=3.15$

$0.20x+0.25x=3.15$

$0.45x=3.15$

Dividing both sides by 0.45 we get:

$x=7.$

Thus, the number of quarters = 7.

So, the number of dimes = $2x=2\times 7=14.$

Therefore, the number of dimes is 14 and the number of quarters is 7.

6 0

2 years ago

Help -x/3 > 5 A. X<15 B. X > -15 C. X < -15 D. X > 15

Genrish500 [490]

Answer:

Steps

-x/3 >5

Multiply both sides by 3

3(-x/3)>5.3

Simplify

-X> 15

Multiply both sides by - 1 (reverse the inequality)

(-x)(-1)<15(-1)

Simplify

X< -15

so C is the answer

8 0

1 year ago

In a bag of marbles ½ are red, ¼ are blue, ⅙ are green, and 1/12 are yellow. You pick a marble without looking The marble is mos

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It has to be red since there are the most red marbles in the bag

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3 years ago

A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown. Which expression represents the

Bezzdna [24]

Think of the two pieces together as a single cone of height 19, and its volume.
Then think of only the upper piece as a cone, and find its volume.
The volume of the frustum is the total volume minus the volume of the upper piece.

The volume of a cone is:

$V = \dfrac{1}{3} \pi r^2 h$

Total volume:

$V_t = \dfrac{1}{3} \times \pi \times 7.5^2 \times 19$

Volume of upper cone:

$V_u = \dfrac{1}{3} \times \pi \times 3.5^2 \times 8$

Volume of frustum:

$V_f = \dfrac{1}{3}\pi(7.5^2)(19) - \dfrac{1}{3}\pi(3.5^2)(8)$

3 0

3 years ago

Read 2 more answers