All categories

3 years ago

In need help in this

Mathematics

1 answer:

Lyrx [107]3 years ago

7 0

Answer:

Vertex form is

$a(x - h) {}^{2} + k = y$

where (h,k) is the vertex

So our vertex form is

$a(x - 3) {}^{2} + 5 = y$

It passes through (6,0) so we have

$a(6 - 3) {}^{2} + 5 = 0$

Solve for a.

$a(3) {}^{2} + 5 = 0$

$a(9) = - 5$

$a = \frac{ - 5}{9}$

So our equation is

$- \frac{5}{9} (x - 3) {}^{2} + 5$

You might be interested in

Teagan is dividing 6 by 11. If she continues the process, what will keep repeating in the quotient?

USPshnik [31]

Answer:

54 will keep repeating in the quotient.

Step-by-step explanation:

Quotient is defined as the answer we get after dividing a number by another number. For instance 10 / 2 = 5. Here 10 is dividend, 2 is the divisor and 5 is the quotient.

In this case 6 divide by 11 will give 0.54545454545....

54 keep repeating in the quotient.

3 0

3 years ago

How do I calculate this? Is there a formula?

alex41 [277]

Answer:

Height of cables = 23.75 meters

Step-by-step explanation:

We are given that the road is suspended from twin towers whose cables are parabolic in shape.

For this situation, imagine a graph where the x-axis represent the road surface and the point (0,0) represents the point that is on the road surface midway between the two towers.

Then draw a parabola having vertex at (0,0) and curving upwards on either side of the vertex at a distance of $x = 600$ or $x = -600$ , and y at 95.

We know that the equation of a parabola is in the form $y=ax^2$ and here it passes through the point $(600, 95)$ .

$y=ax^2$

$95=a \times 600^2$

$a=\frac{95}{360000}$

$a=\frac{19}{72000}$

So new equation for parabola would be $y=\frac{19x^2}{72000}$ .

Now we have to find the height $(y)$ of the cable when $x= 300$ .

$y=\frac{19 (300)^2}{72000}$

y = 23.75 meters

8 0

4 years ago

Read 2 more answers

HELP PLEASE !!!!!

Ivahew [28]

$\sum_{k=4}^8(2k+2)=2\cdot4+2+2\cdot5+2+2\cdot6+2+2\cdot7+2+2\cdot8+2\\
\sum_{k=4}^8(2k+2)=10+12+14+16+18\\
\sum_{k=4}^8(2k+2)=70$

3 0

4 years ago

A spinner has four equal sections labeled one through four you spin the spinner once what is the probability the arrow will land

krek1111 [17]

Seventy-five percent

7 0

4 years ago

How many slices of melon does Stephen eat over the weekend..........here is it....... She buys a melon and divides it into 6serv

Damm [24]

Answer:
2 slices

Explanation:
We know that the total number of servings is 6.
We also know that she ate $\frac{1}{3}$ of the servings during the weekend.

This means that we need to calculate $\frac{1}{3}$ of the total servings to know the amount she ate.

This is done as follows:
she ate = $\frac{1}{3}$ * 6 = $\frac{1*6}{3}$ = $\frac{6}{3}$ = 2 slices

Hope this helps:)

3 0

4 years ago

Read 2 more answers