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2 years ago

X-5/x=8/x+9 what’s the answer?

1 answer:

7 0

First, you move all the numerators above the common denominator. So, x-5/x - 8/x = 9. Then calculate x-5-8/x = 9. Multiple both sides of x, and you will get x-13/x = 9. Then, you move the terms so it will be x-13=9x. Finally solve the equation. So, it is -8x=13. And the final answer is -1.625 or you can leave it as -13/8.

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4. Gloria the grasshopper is working on her hops.

aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

The given parameters are:

$\mathbf{Height = 20}$

$\mathbf{Length = 28}$

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

$\mathbf{Mid = \frac 12 \times Length}$

$\mathbf{Mid = \frac 12 \times 28}$

$\mathbf{Mid = 14}$

So, the vertex of the parabola is:

$\mathbf{Vertex = (Mid,Height)}$

Express properly as:

$\mathbf{(h,k) = (14,20)}$

A point on the graph would be:

$\mathbf{(x,y) = (28,0)}$

The equation of a parabola is calculated using:

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

Substitute $\mathbf{(h,k) = (14,20)}$ in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = a(x - 14)^2 + 20}$

Substitute $\mathbf{(x,y) = (28,0)}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{0 = a(28 - 14)^2 + 20}$

$\mathbf{0 = a(14)^2 + 20}$

Collect like terms

$\mathbf{a(14)^2 =- 20}$

Solve for a

$\mathbf{a =- \frac{20}{14^2}}$

$\mathbf{a =- \frac{20}{196}}$

Simplify

$\mathbf{a =- \frac{5}{49}}$

Substitute $\mathbf{a =- \frac{5}{49}}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

Hence, the equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

7 0

2 years ago

A square field has an area of 121 square metre what is the length of each side

Tresset [83]

30.25 square meters because you would divide 121 by 4 because a square has 4 equal length sides.
Hope this helps

3 0

3 years ago

Solve for x.<br> 7x = 42

Brut [27]

Answer:

x = 6

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Eitan randomly selected volcanoes to travel to and study. After traveling, he had seen 13 cinder cone volcanoes, 18 shield volca

larisa [96]

Answer:

Probability of selecting one volcano in the world on which to conduct an extensive study is given by

$\frac{1}{37}$

Step-by-step explanation:

Since we have given that

Number of cinder cone volcanoes = 13

Number of shield volcanoes = 18

Number of strato volcanoes = 6

Total number of volcanoes is given by

$13+18+6\\\\=37$

So, Probability of getting one volcano in the world on which to conduct an extensive study is given by

$\frac{\text{Number of favorable outcomes}}{\text{ Total number of outcomes}}\\\\=\frac{1}{37}$

Hence, Probability of selecting one volcano in the world on which to conduct an extensive study is given by

$\frac{1}{37}$

8 0

2 years ago

Read 2 more answers

What are some characteristics for simplest form

givi [52]

Ex. 9 divided by 3=3 because 3x3=9

7 0

2 years ago