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3 years ago

Find the length of the hypotenuse of an isosceles right triangle whose legs are 1 unit in length.

Mathematics

1 answer:

Kobotan [32]3 years ago

7 0

$h = \sqrt{ 1^{2} + 1^{2} } = \sqrt{1+1} = \sqrt{2}$

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Find the slope of the line through each pair of points (6, -10) , (-15 , 15)

dem82 [27]

<h3>Answer:</h3>

$\boxed{\boxed{\pink{\bf \leadsto The \ slope \ of \ the \ line \ is \ \dfrac{-25}{21}.}}}$

<h3>Step-by-step explanation:</h3>

Two points are given to us and we need to find the slope of the line . The slope of the line passing through points $\bf (x_1,y_1 ) \ \& \ (x_2,y_2)$ is given by ,

$\qquad\boxed{\red{\bf Slope = tan\theta=\dfrac{y_2-y_1}{x_2-x_1}}}$

Here , the points are ,

( 6 , -10 )
( -15 , 15 )

$\bf\implies Slope = \dfrac{y_2-y_1}{x_2-x_1} \\\\\bf\implies Slope =\dfrac{15-(-10)}{-15-6} \\\\\bf\implies Slope = \dfrac{15+10}{-21}\\\\\bf\implies Slope =\dfrac{-1(25)}{-1(-21)}\\\\ \bf\implies\boxed{\red{\bf Slope =\dfrac{-25}{21}}}$

<h3>★ Hence the slope of the line joining the two points is -25/21 .</h3>

5 0

3 years ago

How do I find the perimeter of a square for this problem shown below?

Nady [450]

you just muliply 16 by 4 i

8 0

3 years ago

Help please !!!!!!!!!!!!

Anastasy [175]

Answer:

X=10 and

$y = 5 \sqrt{3}$

4 0

3 years ago

Please help urgent will mark brainliest

Nady [450]

Perimeter of the square backyard=56m

Perimeter of a square=4*side

Side=

56=4*side

56/4=side

side=14 cm

Area of a square=side*side

=14*14

=196cm^2

So,the area of the square backyard is 196m^2.

7 0

4 years ago

Read 2 more answers

(x + 4)( x + 7) simplified

lora16 [44]

Answer:

x² +11x +28

Step-by-step explanation:

(x +4) (x+7)

take the first x and multiply by x and then the 7 which gives you x² +7x

then take the 4 and multiply it by the x and the 7 which gives you 4x + 28

add all like terms

4 0

3 years ago