All categories

2 years ago

Can someone explain what to do

Mathematics

1 answer:

castortr0y [4]2 years ago

7 0

Answer:

Step-by-step explanation:

The equation of the parabola can be represented as

$y = a(x + 1)(x - 5)$

for some constant a.

Since the coefficient of x² is 2, a = 2, so

$y = 2(x + 1)(x - 5) \\ \\ y = 2( {x}^{2} - 4x + 5) \\ \\ y = 2 {x}^{2} - 8x + 10$

So, the answer is 8.

You might be interested in

a pyramid whose altitude is 5ft weighs 800lbs. at what distance from its vertex must it be cut by a plane parallel to its base s

slavikrds [6]

A structure which has a square base and four triangular sides meeting at a point is called pyramid.

At distance of 3.97 feet from its vertex , pyramid is cut by plane so that the two solids of equal weight will be formed.

<u>It is assumed that weight of pyramid is proportional to its volume.</u>

So, $w = k V$ , where V is volume of original pyramid and v is volume of small pyramid and k is constant.

Let us consider that at h distance, pyramid is cut from its vertex. So a small pyramid is also formed.

Assume that base area of original pyramid is A and base of small pyramid is a.

Volume of original pyramid is, $V= \frac{1}{3} *A* 5$

So, weight of original pyramid, $W = k *(\frac{1}{3} *A* 5) = 800$

Volume of small pyramid is, $v = \frac{1}{3}* a* h$

So, weight of small pyramid, $w = k*(\frac{1}{3}* a* h)=400$

<u>Since, base and height of small pyramid and original pyramid are in proportion.</u>

So, $\frac{a}{A} = (\frac{h}{5}) ^{2}$

$a = (\frac{h}{5} )^{2}A$

Substituting value of a in equation $k*(\frac{1}{3}* a* h)=400$

So, $k*(\frac{1}{3}* \frac{h^{2} }{25}A * h)=400$

$(k*\frac{1}{3}* A*5)*\frac{1}{5} *\frac{h^{2} }{25} * h)=400$

Since, $(k *\frac{1}{3} *A* 5) = 800$ , substitute in above equation.

So, $800*\frac{h^{3} }{125}=400\\\\h^{3}=\frac{125}{2}\\\\h=\sqrt[\frac{1}{3} ]{62.5}\\\\h=3.97 feet$

Learn more:

brainly.com/question/17950304

6 0

2 years ago

Read 2 more answers

Discounts and what is the outcome

Pachacha [2.7K]

Answer:

with discount+tax= $23.15

Step-by-step explanation:

board game is 25

discount: 15%

tax: 7.5%

discount means you take off that amount

tax means you add that amount

discount: 15% off

tax: +7.5%

to find 15% of 25 multiply 25 by 15% (15/100=0.15)

25*0.15

= 3.75

then subtract that from 25

25-3.75

=21.25

tax:

0.075*25

=1.875

~1.9

21.25+1.9

=23.15

5 0

3 years ago

100 pts

lapo4ka [179]

It’s not 100 points it’s only five points

5 0

3 years ago

Will mark brainliest! Answer quickly please.

inn [45]

1400kg.
Force=ma
2100N= m*1.5
2100/1.5= 1400kg.
Please mark me brainliest :)

3 0

2 years ago

Two joggers run 8 miles north and then 5 miles west. What is the shortest

Verdich [7]

The shortest distance they have to travel to return to their starting point is 9.4 miles.

Explanation

The joggers run 8 mile north and then runs 5 miles west. we have to calculate the shortest distance they have to travel to return to their starting point.

The distance traveled north and west respectively makes the height and base of a right angled triangle.

to find the shortest distance to the starting point, the hypotenuse has to be determined.

height h=8 miles

base b=5 miles

using pythagoras theorem

$b^2+h^2=H^2\\5^2+8^2=H^2\\25+64=H^2\\89=H^2\\\\H=\sqrt{89} =9.433=9.4 miles$

The shortest distance to the starting point is 9.4 miles

4 0

3 years ago