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Lilit [14]
3 years ago
9

Find the equation of the straight line passing through the point (0,1) which is perpendicular to the line y= -2x + 2

Mathematics
1 answer:
mylen [45]3 years ago
6 0

Answer:

y = 1/2x + 1

In order to evaluate a slope that is perpendicular to the given equation, you need to find the opposite reciprocal of the original slope. This means you take the original slope, flip the numerator and the denominator, and change the sign in front.

-2 ⇒ 1/2

Next, we need to substitute the information given into the point-slope formula.

The point-slope formula is:

y - y₁ = m(x - x₁)

y - 1 = 1/2(x - 0)

y - 1 = 1/2x

y = 1/2x + 1

Therefore, the line perpendicular to y = -2x + 2 is y = 1/2x + 1.

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1. The sum of the three consecutive members of the geometric sequence is 13. The proportion of the third and the first member is
aev [14]
If a = first term and r = common ratio we have

a + ar + ar^2 = 13   and ar^2 / a = r^2 = 9

so r = 3

and a + 3a + 9a = 13 
so a = 1

so they are  1,3 and 9 

2.
in geometric series we have

4 , 4r ,4r^2 , 60

Arithmetic;
 4,  4r , 4r + d ,  4r + 2d

so we have the system of equations
4r + 2d = 60
4r^2 = 4r + d
From first equation
2r + d = 30 
so d = 30 - 2r 
Substitute for d in second equation:-
4r^2 - 4r - (30-2r) = 0
4r^2 - 2r - 30 =0

2r^2 - r - 15 = 0
(r - 3)(2r + 5) = 0
r  = 3 or -2.5
r must be positive so its = 3
and d = 30 - 2(3) = 24

and the numbers are 4*3 =  12 , 4*3^2 = 36

first 3  are  4 , 12 and 36  ( in geometric)
and last 3 are 12, 36 and 60  ( in arithmetic)

The 2 numbers we ause are 12 and 36.





7 0
3 years ago
The ratio of boys and girls in a 4:3.If there are 20 boys, find the number of girls.​
Elina [12.6K]

Answer:

There are 15 girls.

Step-by-step explanation:

The ratio is 4:3, meaning there are 7 parts.

4 parts= 20 (Boys)

This means 1 part is 20 divided by 4.

1 part= 5

3 parts= Amount of girls.

3 x 5 = 15.

There are 15 girls.

6 0
3 years ago
Read 2 more answers
I’ll give you brainiest if you answer correctly! I need help
Maurinko [17]

Answer:

y= -3/11x + 13

Step-by-step explanation:

hope this helps ( my cousins helped me) :))

7 0
3 years ago
PLEASSSSSEEEEE HELP ME THIS IS DUE PRETTY SOON I REALLY NEED THE FULL EXPLANATION.
user100 [1]

Answer:

a-14.4 MPG, B-15 MPG c Mr. Walters

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Solve for q: s = 4p + 4q
MArishka [77]

Answer:

Step-by-step explanation:

s = 4p + 4q

4p + 4q = s

Subtract 4p from both sides

4q = x - 4p

Divide both sides by 4

\dfrac{4q}{4}=\dfrac{s-4p}{4}\\\\\\q= \dfrac{s-4p}{4}

3 0
2 years ago
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