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Norma-Jean [14]
4 years ago
14

Mike sold half of his comic books and then bought 8 more. He now has 18. How many did he begin with?

Mathematics
2 answers:
Elena-2011 [213]4 years ago
8 0

Answer: 20

Step-by-step explanation:

vodka [1.7K]4 years ago
3 0

Answer:

20.

Step-by-step explanation:

If he sold half of them, bought 8 more, and now has 18, he had 20 to begin with.

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what is the y-intercept of the line perpendicular to the line y=-3/4x+5 that includes the point (-3,-3)?​
Deffense [45]

Answer:

1

Step-by-step explanation:

For this question, your friend is the point-slope form.

Point-slope form = y-y_1 = m(x-x_1)

The only variables you replace are m = slope, y1 = y of a given point, and x1 = x of a given point.

First, we need to find the slope that is perpendicular to the equation y=-\frac{3}{4}x+5

An equation that is perpendicular to another equation have to be negative reciprocals (negative inverse) of each other.

If the slope is 3, then the negative reciprocal of 3 is -\frac{1}{3}.

So, since the given slope is -3/4, the negative reciprocal is \frac{4}{3}.

We will use the negative reciprocal as m since we are trying to find the equation of line that includes (-3, -3) and is perpendicular to the other equation.

We will use point slope form using the (-3, -3) points and negative reciprocal as m.

y-y_1 = m(x-x_1)\\y-(-3) = \frac{4}{3} (x-(-3))\\y+3=\frac{4}{3}(x+3)

Now, we need to convert this into slope-intercept form. The reason why we need to do this is because y = mx + b, where b is the y-intercept. To do this, solve for y - or in other words, isolate y..

y+3=\frac{4}{3}(x+3)\\y+3=\frac{4x}{3}+4\\y+3-3=\frac{4x}{3}+4-3\\y=\frac{4}{3}x+1

The y-intercept of the line is 1.

3 0
3 years ago
Parabola passes through the points (0,5), (1,4), and (2,5). What function does the graph represent?
AfilCa [17]

Answer:

x^2 - 2x + 5 = 0.

Step-by-step explanation:

The (0, 5) is the point where the parabola passes through the y axis (where x = 0), so we can write the equation as

y = ax^2 + bx + 5   where a and b are constants to be found.

Also, since (1, 4) and (2, 5) are points on the curve, substituting, we have the system:

a(1)^2 + 1b + 5 = 4

a(2)^2 + 2b + 5 = 5

Simplify these 2 equations:

a  + b  =  -1  .................(1)

4a + 2b = 0..................(2)

Multiply the first equation by -2:

-2a - 2b = 2 .................(3)

Add (2) + (3):

2a = 2

a = 1.

Substitute a = 1 into (2):-

4*1 + 2b = 0

2b = -4

b = -2.

7 0
3 years ago
HELP ASAP WILL MARK BRAINLIEST!!!!
Gnesinka [82]
E=mc2 (5-2)x+99.03 with the addition of beans
4 0
3 years ago
Line segment BD is a diameter of circle E. What is the measure of arc ?
DIA [1.3K]

Answer:

78

Step-by-step explanation:

Ed2020

6 0
3 years ago
Read 2 more answers
HELP PLEASE!!!!!!!!!​
Rudiy27

Answer:

15 hight and 6 langth

Step-by-step explanation:

its just u measure the hight and the langht is half of 12

5 0
3 years ago
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