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Finger [1]
3 years ago
12

Consider the line y= -7/4x+8

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
8 0
Perpendicular line has slope that multiplies to -1
paralel line has same slope

y=mx+b
slope=-7/4
perpendicular
4/7
(-7,-2)
-2=4/7(-7)+b
-2=-4+b
add 4 both sides
2=b
y=4/7x+2


paralel
y=-7/4x+b
-2=-7/4(-7)+b
-2=49/4+b
minus 49/4 from both sides (-2=-8/4)
-57/4=b
y=-7/4x-14.25


perpendicular
y=4/7x+2
paralel
y=-7/4x-14.25
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The table shows data from a survey about the amount of time students spend doing homework each week. The students were either in
satela [25.4K]

Answer:

The correct option is: The college spread is best described by the standard deviation. The high school spread is best described by the IQR.

Step-by-step explanation:

We have given a table. According to that table  a survey about the amount of time students spend doing homework each week has been conducted. The students were either in college or in high school. Now which of the choices below best describes how to measure the spread of this data.

The correct option is: The college spread is best described by the standard deviation. The high school spread is best described by the IQR.

5 0
3 years ago
Read 2 more answers
A circle is centered at the point (5, -4) and passes through the point (-3, 2).
zepelin [54]

Answer:

(x-5)^2+(y+4)^2=100

Step-by-step explanation:

As we know the given points

Center = (5, -4)

and

Point on circle = (-3,2)

The distance between point on circle and center will give us the radius of circle

So,

The formula for distance is:

\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1})^{2}}\\Taking\ center\ as\ point\ 1\ and\ the\ other\ point\ as\ point\ 2\\d=\sqrt{(-3-5)^{2}+(2-(-4))^{2}}\\d=\sqrt{(-8)^{2}+(2+4)^{2}}\\d=\sqrt{(-8)^{2}+(6)^{2}}\\\\d=\sqrt{64+36}\\d=\sqrt{100} \\ d=10\\So\ the\ radius\ is\ 10

The standard form of equation of circle is:

(x-h)^{2}+(y-k)^{2}=r^{2}

where h and k are the coordinates of the center. So putting in the value:

(x-5)^{2}+(y-(-4))^{2}=(10)^{2}\\(x-5)^{2}+(y+4)^{2}=100

8 0
3 years ago
How many gallons of gas are left after driving 200 miles
BaLLatris [955]
The equation y = -0.04x + 12 gives the number of gallons of gas in your car where x is the number of miles drivene

easy

y=gas left
x=miles

sub 200 for x
y=-0.04(200)+12
y=-8+12
y=4

4 gallons left
8 0
3 years ago
You are searching online for techno music that is neither European nor Dutch. In set notation, which set of music files are you
yuradex [85]
<h2>Answer: </h2><h2>Techno ∩ (European ∩ Dutch)'</h2>

Step-by-step explanation:

According to sets theory ;

Intersection ( ∩ ) - e.g (European ∩ Dutch) represents both European and    

                                     Dutch , while (European ∩ Dutch)' represents neither

                                     European nor Dutch .

Union ( ∪ ) - e.g (European ∪ Dutch) represents either  European or Dutch .

So , Techno ∩ (European ∩ Dutch)' represents  set notation of techno musics that is neither European nor Dutch .

                                     

3 0
3 years ago
Given the following functions, find each of the values:
allsm [11]

The function is computed below based on the information. The answers will be:

1. -11

2. -1

<h3>How to compute the function?</h3>

f(x) = x²-11x+28

g(x) = x-4

(f+g)(-5) = (-5² - 11 × 5 + 28) + (-5 - 4)

= 25 - 55 + 28 - 9

= -11

(f-g)(5)

= = (5² - 11 × 5 + 28) + (5 - 4)

= 25 - 55 + 28 + 1

= -1

Learn more about functions on:

brainly.com/question/25638609

#SPJ1

4 0
1 year ago
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