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stepan [7]
3 years ago
10

What is the equation of the line in slope-intercept form?

Mathematics
1 answer:
cricket20 [7]3 years ago
6 0

Answer:y = 3x/4 + 4

Step-by-step explanation:

The equation of a line in the slope-intercept form is represented by

y = mx + c

Where c = y-intercept

Slope, m = change in the value of y on the vertical axis / change in the value of x in the horizontal axis.

change in the value if y is y2 -y1 and change in the value of x is x2 - x1

Where

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

From the graph,

y2 = 4

y1=0

x2=0

x1 = -3

we can determine the slope.

Slope, m = (4-0) / (0- -3)

= 4/3

Let us pick points (0,4) to determine the intercept

Substituting x = 0 , y = 4 and m = 4/3 into the slope-intercept equation,

y = mx + c

4 = 3/4×0 + c

c = 4

Equation of the line in slope-intercept form is

y = 3x/4 + 4

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enyata [817]
Given that <span>For a certain model of car the distance d required to stop the vehicle if it is traveling at v mi/h is given by the formula d=v+\frac{v^2}{20}, where [tex]d is measured in feet.

If Kerry wants her stopping distance not to exceed 75 ft, then the range of speeds (in mi/h) can she travel is obtained as follows:

v+ \frac{v^2}{20} \leq75 \\  \\ 20v+v^2\leq1,500 \\  \\ v^2+20v+100\leq1,500+100 \\  \\ (v+10)^2\leq1,600 \\  \\ |v+10|\leq\sqrt{1,600} \\  \\ -40\leq v+10\leq40 \\  \\ -40-10\leqv\leq v\leq40-10 \\  \\ -50\leq v\leq30

Therefore, the range of speed she can travel is v\leq30\ mi/hr
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8 0
3 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
irinina [24]

4x-10+5x-22+3x+2=180

So x=35/2 or 17.5

8 0
3 years ago
Read 2 more answers
Undo the half of what was left amount. Multiply 2
34kurt

Answer:

the three numbers below are your answers. (in order)

Step-by-step explanation:

2*2=4\\4+5=9\\9+8=17

6 0
3 years ago
There are many toys in a kindergarten. The ratio of the number of dolls to the number of balls to the number of cars is 7:8:5. I
Nina [5.8K]

Answer:

There are 28 dolls, 32 balls,  20 cars   for 80 total toys

Step-by-step explanation:

dolls : balls: cars: total

7           8          5    (7+8+5)

7           8           5        20

We have a total of  80  

80/20 = 4

We need to multiply each number by 4

dolls : balls: cars: total

7*4     8*4     5*4      20*4

28       32      20       80


There are 28 dolls, 32 balls,  20 cars   for 80 total toys

4 0
3 years ago
An Angle measures 64 more than the measure of its supplementary angle what is the measure of each angle
ValentinkaMS [17]

Answer:

Original angle = 122*

Supplementary angle = 58*

Step-by-step explanation:

A supplementary angle is one of two angles that make up 180*

If one angle is 30*, its supplementary angle is 150*. 30 + 150 = 180.

So in this case we have two angles, the original and the supplementary angle. The original angle is 64* more than the supplementary angle. The key word is MORE.

The formula to figure it out would look like this:  x + (x + 64) = 180

x is the supplementary angle

x + 64 is the original angle (64 MORE than its supplementary angle)

180 is the total measure of the two angles because they are supplementary and we know that supplementary angles always equals 180* when added together.

Take the formula and do a little algebra.

x + (x + 64) = 180

Subtract 64 from both sides

x + x = 116

Combine the x's

2x = 116

Divide both side by 2

x = 58

Remeber we know that the original angle is 64 more than the supplementary angle, so we'll add the 64 to the value of x and we get 122.

x + 64 = 122

Check our work:

x + (x + 64) = 180

58 + 58 + 64 = 180

4 0
3 years ago
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