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coldgirl [10]
3 years ago
7

How do you find the y-intercept and the slope for number 11

Mathematics
1 answer:
Sophie [7]3 years ago
6 0
The first step is to find the slope. Use the slope formula

m = (y2-y1)/(x2-x1)

The two points are (x1,y1) = (-1,5) and (x2,y2) = (2,-1)

So,
x1 = -1
y1 = 5
and
x2 = 2
y2 = -1
will be plugged into the slope formula to get...
m = (y2-y1)/(x2-x1)
m = (-1-5)/(2-(-1))
m = (-1-5)/(2+1)
m = (-6)/(3)
m = -2

The slope is -2

Use m = -2 and one of the points to find the y intercept b. I'll use the point (x,y) = (-1,5) ---> x = -1, y = 5

y = mx+b ... slope intercept form
5 = -2*(-1)+b
5 = 2+b
5-2 = 2+b-2
3 = b
b = 3

The y intercept is 3

-----------------------------------

m = -2 is the slope
b = 3 is the y intercept

Therefore y = mx+b turns into y = -2x+3 as the equation that goes through the two points
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On the coordinate plane shown, each grid unit represents 10 feet. Polygon QRST has vertices Q(20, 30), R(−10, 30), S(−10, −20),
beks73 [17]

The coordinate plane is missing, so i have attached it.

Answer:

Perimeter of room = 140 ft

Area of room = 1200 sq.ft

Step-by-step explanation:

From the cordinate plane attached, we can see the polygon QRST which represents the floor plan of the roo.

Thus;

The length of the sides of the room are;

ST = RQ = 30

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Perimeter of a rectangle is the sum of all sides of the rectangle.

Thus, perimeter of the room = (30 × 2) + (40 × 2) = 140 ft

Now, area of a rectangle is the product of two perpendicular sides.

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4 0
3 years ago
A police car drives with a constant speed of 50 miles per hour. How long will it take to travel a distance of 175 miles?
Evgen [1.6K]

Answer:

It will take the police car 3.5 hours to travel a distance of 175 miles traveling at a rate of 50 miles/hour.

Step-by-step explanation:

If a car is traveling at a constant speed of 50 miles/hour and we wish to know how long it will take it to travel a distance of 175 miles, we will use this formula

d = r*t

Where d is the distance traveled in miles

r is the rate of speed in miles/ hour, and

t is the time in hours

d in this case is 175 miles and r is 50 miles/hour, plugging this in, we have

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Our miles unit will cancel out, leaving us with

3.5 hours = t


3 0
4 years ago
Find the value of x ​
AveGali [126]

Answer:

x = 120

Step-by-step explanation:

Since they are supplementary, they add up to 180 degrees.

So, you can say x + x/2 = 180

Then, you would solve it like an algebra problem.

Multiply both sides by 2

2x + x = 360

Simplify

3x = 360

Divide both sides by 3

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30% of 35 = 10.5

35 would be your answer. 

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