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2 years ago

Need answer ASAP I’m timed What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?

Mathematics

1 answer:

Whitepunk [10]2 years ago

3 0

Answer:

Step-by-step explanation:

(7, 8) (-8, 0)

First find how much the point moved in y to the second point.

8-0=8

So one side is 8.

Then find how much it moved in x. 7-(-8)=15

So the other side is 15

This will give you 2 sides of a triangle where one sides lenght is 8 the other is 15. Use the pythagoras theorem which is x squared plus y squared = c squared

8^2+15^2=c^2

64+225=c^2

289=c^2 Take the square root of both sides to solve for C

√289= √C^2

17 = c

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Is -9 a rational number

Artemon [7]

Answer:

If we mean - √9, then it is a rational number.

Step-by-step explanation:

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3 years ago

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1 year ago

The equation of a parabola is y=x^2-10x+27. Write the equation in vertex form

azamat

Answer:

$\large \boxed{y = (x - 5)^{2} + 2 }$

Step-by-step explanation:

y = x² - 10x + 27

y = ax² + bx + c

This is the general form of the equation for a parabola.

We must convert it to the vertex form

y = (x - h)² + k, where (h,k) are the coordinates of the vertex.

We can do this by completing the square.

$\begin{array}{rcll}y & = & x^{2} - 10x + 27 & \\y - 27 & = & x^{2} - 10x & \text{Subtracted 27 from each side}\\y - 27&= & x^{2} - 10x + 25 - 25 & \text{Added and subtracted (b/2)}^{2}\\y - 27&= & (x - 5)^{2} - 25 & \text{Wrote the first three terms as the square of a binomial}\\y& = & \mathbf{(x - 5)^{2} + 2} & \text{Added 27 to each side}\\\end{array}\\\text{The vertex form of the parabola is $\large \boxed{\mathbf{y = (x - 5)^{2} + 2 }}$}$ The figure below shows that your parabola has its vertex at (5,2).

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3 years ago

Find an equation for the line below.

tekilochka [14]

Answer:

y=3/4x-2.5

Step-by-step explanation:

This is a straight line, so it would follow the equation y=mx+b. You can find the b value by looking at the y-intercept of the equation (where x=0), which in this case would be -2.5. Then, you can find the m value by comparing the two given points' locations. Slope is rise over run, so first you can find the rise. The y value moves from y=-4 to y=2, which is a value of 6 units upward. The points move from x=-2 to x=6, which is a distance of 8 units. Finally, put it into the rise over run pattern, giving you 6/8, which simplified is 3/4. This is your m value. Finally, plug in your two variable values into y=mx+b and you'll get y=3/4x-2.5.

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2 years ago

Fantastic pins Bowling Alley charges $2.50 for shoe rental plus $3.25 for each game. Write an expression representing the cost t

harina [27]

X= 2.50g
have a great day

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2 years ago