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3 years ago

What does x equal, I'm struggling with this?

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

5 0

Answer:

Step-by-step explanation:

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Find the length of the shorter leg of a right triangle with the longer leg is 9 feet more than the shorter leg the hypotenuse is

Jobisdone [24]

Answer:

Length of Shorter leg = 27 feet

Length of Longer leg = 36 feet

Length of Hypotenuse = 45 feet

Step-by-step explanation:

Given:

Let,

Length of Shorter leg = x,

According to the given condition we have

∴ Length of Longer leg = x + 9 feet

∴ Length of Hypotenuse = 2x - 9 feet

To Find:

Length of Shorter leg = ?

Solution:

Now In Right Angle Triangle, By Pythagoras theorem we have

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

substituting the given values we get

$(2x-9)^{2} = (x)^{2}+(x+9)^{2}\\$

By using Identity (A ± B)² = A² ± 2AB +B² we get

$4x^{2} -36x+81=x^{2} +(x^{2} +18x+81)\\\\4x^{2} -2x^{2} -36x-18x=81-81\\\\2x^{2} -54x=0\\2x(x-27)=0\\2x=0 or x-27=0\\\therefore x\ cannot\ be \ zero\\\therefore x = 27 \feet$

Substituting x=27 we get

∴ Length of Longer leg = x + 9 =27 +9 = 36 feet

∴ Length of Hypotenuse = 2x - 9 = 2×27 -9 = 45 feet

7 0

3 years ago

Factor completely: −2x3 + 6x2

Pavel [41]

Correct answer is C.

$-2x^3+6x^2 \\-2x^2x+2x^23 \\2x^2(-x+3) \\2x^2(-(x-3)) \\-2x^2(x-3)$

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3 years ago

To eliminate the x-terms and solve for y in the fewest steps, by which constants should the equations be multiplied

vitfil [10]

Answer: I believe this is the answer.

$6x-5y=17\\7x+3y=11$

----------------------------

7 and -6

-7 and 6

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3 years ago

Rachel types

Art [367]

Answer:

4 im pretty sur

Step-by-step explanation:

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3 years ago

How to make 3 dimensional object be 4 dimensional object

mario62 [17]

In order to make a 3-dimensional object into a 4-dimensional object, it's important to draw the 4-dimensional shape in a way that gives the illusion of the 3-dimensional object.

<h3>How to illustrate the information?</h3>

It should be noted that shapes play an important part in geometry.

Here, to make a 3-dimensional object into a 4-dimensional object, it's important to draw the 4-dimensional shape in a way that gives the illusion of the 3-dimensional object.

Also, it should be noted that a 4D tesseract can be used to project the image.

Learn more about shapes on:

brainly.com/question/25965491

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2 years ago

What does x equal, I'm struggling with this?​

What does x equal, I'm struggling with this?