3 years ago

Simplify 10(5g+2h-3)-4(3g-4h+2)

Mathematics

1 answer:

dedylja [7]3 years ago

4 0

2(25y+18h-19-6g) is the answer for your problem

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Part A Prove that when x > 1, a triangle with side lengths a = x2 − 1, b = 2x, and c = x2 + 1 is a right triangle. Use the Py

Nataly [62]

Step-by-step explanation:

Given : A triangle with side lengths $a = x^2-1, b = 2x, \text{ and } c = x^2 + 1$

To find : Prove that when x > 1, it is a right triangle. Use the Pythagorean theorem and the given side lengths to create an equation. Use the equation to show that this triangle follows the rule describing right triangles. Explain your steps ?

Solution :

For right triangle the Pythagorean theorem is to be satisfied.

i.e. $c^2=a^2+b^2$

Here, $a = x^2-1, b = 2x, \text{ and } c = x^2 + 1$

Substitute the values,

$(x^2+1)^2=(x^2-1)^2+(2x)^2$

$x^4+1+2x^2=x^4+1-2x^2+4x^2$

$x^4+1+2x^2=x^4+1+2x^2$

LHS=RHS

It is a right triangle.

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3 years ago

What is the multiplicative inverse of 8? <br> -1/8 <br> 1/8 <br> -8 <br> 0.08

Lemur [1.5K]

Answer: it's 1/8

Step-by-step explanation:

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3 years ago

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Verify the trigonometric identity. convert the left side of the relationship to look like the right side.

Tomtit [17]

Answer:

Verified

Step-by-step explanation:

Use $\tan{x}=\frac{\sin{x}}{\cos{x}}$ , $\sin^2{x}+\cos^2{x}=1$ and $\sec{x}=\frac{1}{\cos{x}}$

LHS= $\tan^2{x}+1=\frac{\sin^2{x}}{\cos^2{x}} + 1=\frac{\sin^2{x}+\cos^2{x}}{\cos^2{x}}=\frac{1}{\cos^2{x}}=\sec^2{x}$ =RHS

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2 years ago

Use the bar graph to find the experimental probability of spinning a number greater than 3.

marissa [1.9K]

Answer:

the baser to their question would be 2 since its lined up and thrn it would be 4

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3 years ago

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the diameter of your bycicle wheel is 25 inches how far will you move in 2 turns of your wheel use 3.14 for pi

earnstyle [38]

Answer:

157 in

Step-by-step explanation:

2x3.14x25 = 157 in

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2 years ago