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3 years ago

Which side lengths form a right triangle?

Mathematics

1 answer:

Natalija [7]3 years ago

5 0

Answer:

this is kinda confusing..So ill just answer the first question.

<h3>Explanation: The Pythagorean Theorem gives us a2 + b2 = c2 for a right triangle, where c is the hypotenuse and a and b are the smaller sides.</h3>

hope it helps.

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Find equations of both the tangent lines to the ellipse x^2 + 4y^2 = 36 that pass through the point (12, 3).y = (smaller slope)y

Bingel [31]

Answer:

x+y=15

Step-by-step explanation:

Given equation of $x^2+4y^2=36$

Differentiating both side $2x+8y\frac{dy}{dx}=0$

$\frac{dy}{dx}=\frac{-x}{4y}$

It passes through the point (12,3) so

$\frac{dy}{dx}=\frac{-12}{4\times 3}=1$

So equation of tangent passing through (12,3) is

$y-12=-1(x-3)$ as $y-y_1=-m(x-x_1)$

So x+y =15 will be the equation of tangent which passes though the point (12,3)

5 0

3 years ago

A rectangular box is 6 inches long, 5 inches wide and 7 inches tall. What is the approximate length of its longest diagonal?

xxTIMURxx [149]

Answer:

10.5 inches

Step-by-step explanation:

The length of the longest diagonal is across two opposite points of the solid, namely

L = sqrt ( 6^2 + 5^2 + 7^2)

= sqrt (36+25+49)

= sqrt(110)

= 10.5"

7 0

3 years ago

Read 2 more answers

Please help me pleaseeeeeee

pshichka [43]

This is the solution

5 0

2 years ago

Solve for x. 5^11x=25^x+9

4vir4ik [10]

$\displaystyle\\
5^{11x}=25^{x+9}\\\\
5^{11x}=\Big(5^2\Big)^{x+9}\\\\
5^{11x}=5^{2(x+9)}\\\\
11x = 2(x+9)\\\\
11x = 2x+18\\\\
11x - 2x = 18\\\\
9x = 18\\\\
x = \frac{18}{9} = \boxed{2}$

6 0

3 years ago

Please add explanation as well.

Marianna [84]

It is the first one. Three times a number means 3x. The sum of 3x and 7 is 3x + 7 because sum means additions. And 3x + 7 is greater than four times the number which is 4x and greater than is this symbol >. So 3x + 7 > 4x

3 0

3 years ago