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Zina [86]
3 years ago
14

A line has a slope of 1/4 and passes through the point (4,8). Write the equation of the line in slope intercept form.​

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

Answer:

y = 1/4x +7

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 1/4 x +b

Substitute the point into the equation

8 = 1/4(4) +b

8 = 1 +b

Subtract 1 from each side

8-1 =b

7 =b

y = 1/4x +7

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There are 12 boys and 15 girls in your class for new students three boys and one girl join your class what is the ratio of the c
Finger [1]
Before the new kids the ratio of girls to boys is 15:12 because there are 15 girls and 12 boys now you can simplify by dividing 15 by 3 and 12 by 3 to get 5:4 as your simplified ratio. As far as after the new kids. Since there is 1 new girl you do 15+1 to get 16 and there are 3 new boys so you do 12+3 to get 15 now 16:15 is already in simplest form so your answer is:

Before: 15:12 simplified as 5:4
After 16:15
6 0
2 years ago
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When checking you answer to an addition or subraction problem, use the _______ operation? OPPOSITE
hodyreva [135]

It is the opposite. There is nothing called same operation...

3 0
2 years ago
4. At Eagle Rock High School, the probability that a student takes theatre and choir is 0.052.
aleksklad [387]

Answer:

B

Step-by-step explanation:

Conditional probability is:

P(A given B) = P(A and B) / P(B)

Here, P(A and B) = 0.052 and P(B) = 0.17:

P(A given B) = 0.052 / 0.17

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6 0
3 years ago
Draw a line through the point (2, 0) with a slope of 1/4
Nastasia [14]

Answer:

y = 1/4 x - 1/2

Step-by-step explanation:

Remark

The general equation for a line is y = mx + b

You know that m = 1/4. The problem is what do you do about (2,0)?

Solution

y = 1/4 x + b                  Let x = 2 when y = 0

0 = 1/4 * 2 + b               multiply 2 * 1/4

0 = 1/2 + b                     Subtract 1/2 from both sides

b = - 1/2

equation y = 1/4 x - 1/2

Graph

7 0
3 years ago
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables.
Pepsi [2]

Answer:

x=20

y=10\,\sqrt{3}

Step-by-step explanation:

In the triangle we have the following trigonometric equations:

tan(60^o)=\frac{opposite}{adjacent} \\\sqrt{3} =\frac{y}{10} \\y=10\,\sqrt{3}

and also:

cos(60^o)=\frac{adjacent}{hypotenuse}\\\frac{1}{2} =\frac{10}{x}\\x=20

8 0
3 years ago
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