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dangina [55]
2 years ago
6

PLEASE HELP ME SOLVE

Mathematics
1 answer:
jasenka [17]2 years ago
8 0

Two lines are perpendicular if their slope m and m' satisfy the equation

mm'=-1

The slope of the given line is 4, because the line is written in the slope-intercept y=mx+q, where m is the slope.

So, the perpendicular slope is

4m'=-1 \iff m'=-\dfrac{1}{4}

So, we want a line with slope -1/4 and passing through (-1,3). We can use the formula

y-b=m(x-a)

for the line passing trough (a,b) with slope m:

y-3=-\dfrac{1}{4}(x+1) \iff y=-\dfrac{1}{4}x-\dfrac{1}{4}+3\iff y=-\dfrac{1}{4}x+\dfrac{11}{4}

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Consider the following pair of equations:
Zinaida [17]

Answer:

The lines representing these equations intercept at the point (-4,2) on the plane.

Step-by-step explanation:

When we want to find were both lines intercept, we are trying to find a pair of values (x,y) that belongs to both equations, which means that it satisfies both equations at the same time.

Therefore, we can use the second equation that gives us the value of y in terms of x, to substitute for y in the first equation. Then we end up with an equation with a unique unknown, for which we can solve:

x+y=-2\\x+(2x+10)=-2\\x+2x+10=-2\\3x+10=-2\\3x=-2-10\\3x=-12\\x=\frac{-12}{3} \\x=-4

Next we use this value we obtained for x (-4) in the same equation we use for substitution in order to find which y value corresponds to this:

y=2x+10\\y=2(-4)+10\\y=-8+10\\y=2

Then we have the pair (x,y) that satisfies both equations (-4,2), which is therefore the point on the plane where both lines intercept.

5 0
3 years ago
How will adding the value 75 affect the mean and median of the data set 1, 5, 7, 9 , 9, 10?
kenny6666 [7]
Prior to adding 75, the original data has a mean of 41/6 =6.833 & a median of 8

After adding the 75, the mean becomes 116/7 = 16.571 & the median = 9

So the median increased slightly (from 8 to 9) & the mean increased more quickly (from 6.833 to 16.571)

So it's C :The median increases less than the mean increases.

8 0
3 years ago
Consider the equations y = |x − 1| and y = 3x + 2.
Dima020 [189]
(-0.2,1.2)

substitute 3x+2 for y and set them equal to eachother then plug in x for y
5 0
3 years ago
Read 2 more answers
What values are needed to make each expression a perfect square trinomial?
bogdanovich [222]
For the first one, find a number in which, when factored, will give you 4.

x² + 4x + 4
x             2
x             2

(x + 2)(x+ 2)

4 is your best answer



2. x² - 10x + ____
    
Same for this question. Find a number that, when factored, will give you -10

-100

x² - 10x + 25
x            - 5
x            -5

(x - 5)(x - 5)

25 is your answer


hope this helps
7 0
3 years ago
HELP PLZ?!?! I don’t understand this at all so I would appreciate it if anyone can help me:)
Ulleksa [173]

Answer:

it is the second answer

Step-by-step explanation:

why just dont trust me i am god awful at math sometimes well bye

7 0
3 years ago
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