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Gnoma [55]
4 years ago
13

Write and equation in slope intercept. Form for the line that passes through (0,1) -"and is perpendicular to the line whose equa

tion is y=2x
Mathematics
1 answer:
azamat4 years ago
5 0
To start, first determine the slope of the line that is perpendicular to the equation y=2x. To find it, note that the slope of a line perpendicular to another is always the negative reciprocal (or the inverse, for example the reciprocal of 3 is 1/3) which would mean that the slope for the perpendicular line would be -1/2. Then, use the slope intercept form, y=mx+b to find your remaining missing values of the equation. Because the line passes through (0,1), you can plug into the x and y values, 0 and 1, respectively, and since you know the slope is -1/2, you can plug that into m. However, the only value you must find is b, which can be solved using your three known values. When you plug the values in, you will get this equation:

1=-1/2(0)+b

Then, when you simplify and solve for b, you should get b=1.

Now that you have your b and m value, you can finally write your perpendicular equation as y=-1/2x+1
 
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Natalija [7]

Answer:

Perfect negative correlation

Step-by-step explanation:

7 0
3 years ago
the sum of Ages of two brother is 18the elder brother is 10 years older than younger brother then what are the ages of those bro
NemiM [27]

Answer:

Age of younger brother is 4 years..

And age if elder brother is 14 years.

Step-by-step explanation:

Let us denote 'x' as the age of smaller brother,

then, the age of younger brother will be x+10 years.

x+x+10 = 18

2x+10 = 18

2x = 18-10

2x = 8

x = 8/2

x = 4

Age of younger brother is 4 years.

Age of elder brother = x + 10

= 4 + 10

= 14 years.

4 0
3 years ago
Write the sentence as an equation and solve.
Arturiano [62]

Answer:

22

Step-by-step explanation:

Basically X-14-8   so  8+14=X  X=22

5 0
3 years ago
Identify the roots of the equation and the multiplicities of the roots.<br> (x - 6)(x + 4)2 = 0
Harman [31]

Answer:

Roots are x=6 and - 4

Step-by-step explanation:

2(x-6)(x+4)=0

(x-6)=0 or (x+4)=0

x=6 or x=-4, their multiplicities is 1

8 0
3 years ago
Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at random for a special assignment.
natka813 [3]
Prob of selected students times prob of selecting boys times prob of selecting 3 boys
total students = 15b + 30g = 45 students

1. 10s/45t = 0.22
2. 15b/45t = 0.33
3. 3b/15b = 0.2

0.22×0.33×0.2=0.0148

1.48%

I'm not sure 100%... double check answer please
3 0
3 years ago
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