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Vinil7 [7]
2 years ago
12

HELP RN PLEASEEE for a quiz

Mathematics
1 answer:
sattari [20]2 years ago
8 0

Answer:

Step-by-step explanation:

( x_{1} , y_{1} )

( x_{2} , y_{2} )

m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }

parallel lines have the same slopes , perpendicular lines have slope which are opposite reciprocals.

~~~~~~~~~~~~~~~

A( 3 , 5 )

B( - 2 , 7 )

m_{AB} = \frac{7-5}{-2-3} = - \frac{2}{5}

C( 10 , 5 )

D( 6 , 15 )

m_{CD} = \frac{15-5}{6-10} = - \frac{5}{2}

The answer is (A) Neither

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Choose the best answer:
Oksi-84 [34.3K]

Answer:

The length of the hypotenuse is 2 square root of 13 ⇒ c

Step-by-step explanation:

The rule of the area of the right triangle is A = \frac{1}{2} × leg1 × leg2, where

leg1 and leg2 are the sides of the right angle

∵ The area of a right triangle is 12 in²

∵ The ratio of the length of its legs is 2: 3

→ Let leg1 = 2x and leg2 = 3x

∵ leg1 = 2x and leg2 = 3x

→ Substitute them in the rule of the area above

∴ 12 = \frac{1}{2} × 2x × 3x

∵ 2x × 3x = 6x²

∴ 12 =  \frac{1}{2} × 6x²

∴ 12 = 3x²

→ Divide both sides by 3 to find x²

∴ 4 = x²

→ Take √ for both sides

∴ x = 2

→ Substitute x in the expressions of leg1 and leg2 to find them

∴ leg1 = 2(2) = 4 inches

∴ leg2 = 3(2) = 6 inches

∵ hypotenuse = \sqrt{(leg1)^{2}+(leg2)^{2}}

∴ hypotenuse = \sqrt{(4)^{2}+(6)^{2}}=\sqrt{16+36}=\sqrt{52}

∵ The simplest form of \sqrt{52} = 2\sqrt{13}

∴ The length of the hypotenuse = 2\sqrt{13} inches

3 0
3 years ago
Are the graphs of the lines in the pair parallel? Explain. <br> y = 3/7x+ 11 –3x + 7y = 13
ankoles [38]
Remember that parallel lines have the same slope.

y=3/7x+11 (in slope intercept form already)

-3x+7y=13 (standard form)

Add 3x to both sides, giving you 7y=3x+13, divide by 7 on both sides, giving 


y=3/7x+13/7

Since both equations' slopes' are the same, their graphs will be parallel.


7 0
3 years ago
What's 1/2 divided by 3? Your answer should be written as a fraction.
Agata [3.3K]
Your answer should be 1/6 because you are dividing thing by the number.
8 0
2 years ago
5. A hockey player whose initial speed is 8.1 m/s increases his speed to 8.6 m/s in order to get to
balu736 [363]

Answer:

0.1m/s²

Step-by-step explanation:

the explanation is in the picture

please rate and mark as brainliest

5 0
3 years ago
a walking path across a park is represented by the equation y=-2x-7. A new path will be built perpendicular to this path.The pat
jonny [76]

Answer:

The equation that represents the new path is y=(1/2)x-2

Step-by-step explanation:

step 1

Find the slope of the give line

we have

y=-2x-7

so

the slope m is equal to

m=-2

step 2

Find the slope of the perpendicular line to the given line

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal of each other

so

we have

m=-2 -----> slope of the given line

therefore

The slope of the perpendicular line is equal to

m=1/2

step 3

With m=1/2 and the point (-2,-3) find the equation of the line

y-y1=m(x-x1)

substitute

y+3=(1/2)(x+2)

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

y=(1/2)x-2 -----> equation that represent the new path

8 0
3 years ago
Read 2 more answers
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