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3 years ago

Random question correct answer gets a heart and five stars(might do this on weekdays)

Mathematics

1 answer:

Bumek [7]3 years ago

7 0

Answer:

Step-by-step explanation:

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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

Write a slope intercept form equation through given points . (18, 14), (-6, -19)

Kobotan [32]

Answer:

y-14=11/8(x-18)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-19-14)/(-6-18)

m=-33/-24

m=33/24

simplify

m=11/8

y-14=11/8(x-18)

6 0

3 years ago

Please help i have been trying to figure this out for like an hour

KengaRu [80]

Answer:

Step-by-step explanation:

Since x varies directly as y, the ratio of x to y remains the same. Let the value of x when y=4 be a. Then we have

$\dfrac {7 \frac12} {10} = \dfrac a4$

We can cross multiply to get that

$10a = 30, \text{so } \boxed{a=3}$

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3 years ago

Find the value of the term in the arithmetic sequence with guidance.

dem82 [27]

Answer:

i think the answer would be 35

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2 years ago

Which equation is equivalent to x^2 + 36x = 88?

just olya [345]

Answer:

Step-by-step explanation:

4 0

2 years ago

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