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SIZIF [17.4K]
2 years ago
10

I need help ASAP !!!!!!

Mathematics
1 answer:
pashok25 [27]2 years ago
5 0

Answer:

x=11

Step-by-step explanation:

First, we notoce that the angles has to be 90 degrees because the other angle is also 90 and these angles have to add up to 180. So, that means 7x+13=90

    -13  -13

7x=77

x=11

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Line l contains the points (1,5) and (4, -4). point P has the coordinates (-1, 1)
Colt1911 [192]

Answer:

The distance from p to l is \sqrt{10}\ units

Step-by-step explanation:

we know that

The distance between point p from line l is equal to the perpendicular segment from line l to point p

step 1

<em>Find the slope of line l</em>

we have the points

(1,5) and (4, -4)

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{-4-5}{4-1}

m=\frac{-9}{3}

m=-3

step 2

Find the equation of the line l

The equation in point slope form is equal to

y-y1=m(x-x1)

we have

m=-3

point\ (1,5)

substitute

y-5=-3(x-1) -----> equation A

step 3

Find the slope of the line perpendicular to the line l

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (The product of their slopes is equal to -1)

m_1*m_2=-1

we have

m_1=-3 ---> slope of line l

therefore

m_2=\frac{1}{3} ----> slope of the line perpendicular to line l

step 4

Find the equation of the line perpendicular to line l that passes through the point p

The equation in point slope form is equal to

y-y1=m(x-x1)

we have

m=\frac{1}{3}

point\ p(-1,1)

substitute

y-1=\frac{1}{3}(x+1) -----> equation B

step 5

Solve the system of equations

y-5=-3(x-1) -----> equation A

y-1=\frac{1}{3}(x+1) -----> equation B

Solve the system by graphing

The solution of the system is the intersection point both graphs

The solution is the point q(2,2)

see the attached figure

step 6

we know that

The distance between the point p and the line l is equal to the distance between the point p and the point q

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have the points

p(-1,1) and q(2,2)

substitute the values

d_p_q=\sqrt{(2-1)^{2}+(2+1)^{2}}

d_p_q=\sqrt{(1)^{2}+(3)^{2}}

d_p_q=\sqrt{10}\ units

3 0
3 years ago
How is 60 over 12 identify
maksim [4K]

Answer: 60/12= 5

Step-by-step explanation:

8 0
3 years ago
I want to pour a concrete slab in my backyard with an area of 370 ft2 to put a basketball goal. If the length of the slab is 23
Soloha48 [4]
A=lw A=370 l=6w-23
370=w(6w-23)
6w^2-23w=370
6w^2-23w-370
Works out to
(W-10) pick this one
+10
W=10
or
(6w+37) is not the answer to choose
-37
6w=-37
/6 /6
W=-6.17


A) 10
B) 10
C) 37
8 0
3 years ago
A stock was purchased at $15.75 per share, and sold at $19.25 per share What was the net profit per share?
Aleonysh [2.5K]
It. Is. (19.25-15.75)/15.75
6 0
3 years ago
Hi what is 10000+436000000000
grigory [225]

Answer:

436000010000

Step-by-step explanation: there

7 0
2 years ago
Read 2 more answers
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