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padilas [110]
3 years ago
14

Graph the line with the given point and slope. the line that passes (2,-2) with slope 1/4

Mathematics
1 answer:
netineya [11]3 years ago
4 0
Point-slope equation of a line:

y - yo  =  m(x - xo)
Where m is the slope (1/4) and (xo,yo)=(2,-2)

y + 2 =  \frac{1}{4} (x - 2)
y + 2 =  \frac{1}{4} x -  \frac{1}{2}
y =  \frac{1}{4} x -  \frac{5}{2}
The y-intercept is -5/2, the graph is shown in the photo.

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Answer:

17×10^8 is greater

Step-by-step explanation:

The expontent comes first which gives you

1000000000 then you multiply that with 17 to get

1700000000

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BartSMP [9]

Answer:

1). a = 9.42 m

2). b = 6.37 m

3). c = 4.48 m

Step-by-step explanation:

In the figure attached,

By applying tangent rule in triangle ADE,

tan47 = \frac{h}{c}

c = \frac{h}{\text{tan}47}

c = \frac{4.8}{\text{tan}47}

c = 4.476

c ≈ 4.48 m

Now we apply the same rule in triangle ACE,

tan37° = \frac{h}{b}

b = \frac{h}{\text{tan}37}

b = \frac{4.8}{1.0724}

b = 6.37 m

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5 0
3 years ago
Sally can detail a car in 50 minutes. Manny does the same job in 35 minutes. How long will it take them to detail a car working
Debora [2.8K]

<u>Answer:</u>

Both Sally ans Manny can detail a car in 20.6 min.

<u>Solution: </u>

Let us assume that together they will take total x minutes to detail the car.

Sally detail the car in 50 min.

So in 1 min sally can detail \left(\frac{1}{50}\right) of the car.

Hence in x min sally can detail \left(\frac{x}{50}\right) of the car.

Manny can detail a car in 35 min.

So in 1 min many can detail \left(\frac{1}{35}\right) of the car.

Hence in x min Manny can detail \left(\frac{x}{35}\right) of the car.

So we can say,

\left(\frac{x}{50}\right)+\left(\frac{x}{35}\right)=1

x\left(\frac{1}{50}+\frac{1}{35}\right)=1

x\left(\frac{7+10}{350}\right)=1

\left(\frac{17 x}{350}\right)=1

17 x=350

x=\left(\frac{350}{17}\right)=20.5 8\approx 20.6

So, both of them can detail a car in 20.6 min.

3 0
3 years ago
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