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Aleonysh [2.5K]
3 years ago
15

Can you help me on question 25?!

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
5 0
The answer would be C
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Number 15. Find the equation of the line that passes through (3,-1) and is perpendicular to the line that passes through (-5, 2)
MArishka [77]
For lines to be perpendicular their slopes must be negative reciprocals of one another, mathematically:

m1*m2=-1

So we first need to find the slope of the reference line.

m=(y2-y1)/(x2-x1)=(7-2)/(-1--5)=5/4

So the perpendicular line will have a slope of:

5m/4=-1

m=-4/5

So our perpendicular line so far is:

y=-4x/5+b, now we can use point (3,-1) to solve for the y-intercept, "b"

-1=-4(3)/5+b

-1=-12/5+b

-5/5+12/5=b

7/5=b

So the line is:

y=-4x/5+7/5 or more neatly

y=(-4x+7)/5

y=-0.8x+1.4
3 0
3 years ago
Peter is placing a rectangle in the coordinate plane. He knows that the shorter side of the rectangle is one-third the length of
katrin [286]

Answer:

(0,a)

Step-by-step explanation:

Let

x-------> the length side of the rectangle

y------> the width side of the rectangle

we know that

y=\frac{1}{3}x ---> equation A

x=3a ---> equation B (given problem)

substitute equation B in equation A

y=\frac{1}{3}3a=a

so

the coordinate of the top-left vertex of the rectangle is equal to

(0,a)

5 0
3 years ago
Given that cosΘ = -square root 2/2 and that Θ lies in quadrant III, determine the value of sinΘ.
Reptile [31]

Answer:

  C) (square root 2)/2

Step-by-step explanation:

In quadrant III, the sine of an angle is positive. The value will be ...

  sin(Θ) = √(1 -cos(x)^2) = √(1 -(-√2/2)^2) = √(2/4)

  sin(Θ) = (√2)/2

6 0
2 years ago
WHOEVER FINISHES FIRST I WILL MARK AS BRAINLIEST!!!
Lady bird [3.3K]

Answer:

-350%  -0.4%   -40%  -37.5% hope this helps!

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
I need helpppppppppp!!!!!!!!!!
Genrish500 [490]

Answer:

m MN = 70°

Step-by-step explanation:

∠MLN is an angle formed by the chords ML and LN and is calculated as

∠MLN = 0.5( m arc MN ), that is

35° = 0.5 arc MN ( multiply both sides by 2 )

arc MN = 2 × 35° = 70°

4 0
3 years ago
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