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2 years ago

The length of the hypotenuse of an isosceles right triangle is 8. a. Find the perimeter of the triangle.

1 answer:

meriva2 years ago

4 0

we know is a right triangle, so one angle must be 90°, we also know is an isosceles, that means it has twin sides, and we also know that the hypotenuse or slanted side is 8, so the triangle must be a 45-45-90 triangle, Check the picture below.

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What is the equation, in slope-intercept form, of the line

Sati [7]

Given:

Given that the graph of the equation of the line.

The line that is perpendicular to the given line and passes through the point (2,-1)

We need to determine the equation of the line perpendicular to the given line.

Slope of the given line:

The slope of the given line can be determined by substituting any two coordinates from the line in the slope formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the coordinates (-1,3) and (2,2), we get;

$m_1=\frac{2-3}{2+1}$

$m_1=-\frac{1}{3}$

Thus, the slope of the given line is $m_1=-\frac{1}{3}$

Slope of the perpendicular line:

The slope of the perpendicular line can be determined by

$m_2=-\frac{1}{m_1}$

Substituting $m_1=-\frac{1}{3}$ , we get;

$m_2=-\frac{1}{-\frac{1}{3}}$

simplifying, we get;

$m_2=3$

Thus, the slope of the perpendicular line is 3.

Equation of the perpendicular line:

The equation of the perpendicular line can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting $m=3$ and the point (2,-1) in the above formula, we have;

$y+1=3(x-2)$

$y+1=3x-6$

$y=3x-7$

Thus, the equation of the perpendicular line is $y=3x-7$

Hence, Option d is the correct answer.

3 0

3 years ago

How can you write the expression with rationalized denominator? 2+sqrt3(3)/sqrt3(6)

joja [24]

So we have a 6 at the bottom, and the root is 3, so hmm how to take it out, simple enough, just let's get something to make the 6 a 6³, so it comes out of the root

so

$\bf \cfrac{2+\sqrt[3]{3}}{\sqrt[3]{6}}\cdot \cfrac{\sqrt[3]{6^2}}{\sqrt[3]{6^2}}\implies \cfrac{(2+\sqrt[3]{3})(\sqrt[3]{6^2})}{(\sqrt[3]{6})(\sqrt[3]{6^2})}\implies \cfrac{2\sqrt[3]{36}+\sqrt[3]{3}\cdot \sqrt[3]{36}}{\sqrt[3]{6^3}}
\\\\\\
\cfrac{2\sqrt[3]{36}+\sqrt[3]{3\cdot 36}}{6}\implies \cfrac{2\sqrt[3]{36}+\sqrt[3]{108}}{6}\implies \cfrac{2\sqrt[3]{36}+\sqrt[3]{3^3\cdot 4}}{6}
\\\\\\
\cfrac{2\sqrt[3]{36}+3\sqrt[3]{ 4}}{6}$

8 0

3 years ago

Can you help me on my homework plz

diamong [38]

Answer:

here to help first of all=circle rusty =then underline slide which is the noun

now u do the rest

Step-by-step explanation:

4 0

3 years ago

If a pine tree grows 3 inches per year,how long will it take for the tree to reach a height of 8 feet

vichka [17]

Answer:

32 years

Step-by-step explanation:

8x12 because there are 12 inches in a foot

8x12=96

96/3

96/3=32

4 0

2 years ago

Read 2 more answers

Which has a different answer? A. 7 + 2 - 4 , B. 2 + 7 - 4 , C. 7 - 4 + 2 , D. 4 + 7 - 2

Sindrei [870]

Answer:

d) 4 + 7 - 2

Step-by-step explanation:

7 + 2 - 4 = 5

2 + 7 - 4 = 5

7 - 4 + 2 = 5

4 + 7 - 2 = 9

5 0

2 years ago

The length of the hypotenuse of an isosceles right triangle is 8. a. Find the perimeter of the triangle.​

The length of the hypotenuse of an isosceles right triangle is 8. a. Find the perimeter of the triangle.