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Lesechka [4]
3 years ago
14

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = (x – 8). What is the slop

e-intercept form of the equation for this line?
Mathematics
1 answer:
Masteriza [31]3 years ago
5 0

[ y - 4 = x - 8 ]  is not the equation of the line that goes through
those two points.  The first point  (8, 4)  is on the graph of that
equation, but the second point  (0, 2)  is not.

The slope/intercept equation of the line that passes through
both points  (8, 4)  and  (0, 2)  is

                                          y = 1/4 x + 2 .


The slope/intercept form of   [ y - 4 = x - 8 ]  is

                                          y = x - 4 .  

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What is the center of the circle for this equation:<br> (x + 3)² + (y - 2)² = 25
Ksju [112]

The formula for the equation of a circle is (x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and <em>r</em> is the radius.

So we need to find the values of (h, k) in order to find the center of the circle.

If we simply line up the equation of our given circle with our formula,

we can see that -h = 3 or h = -3 and -k = -2 so k = 2.

So now we have our answer.

center ⇒ (-3, 2)

8 0
3 years ago
a birthday cake at the bakery was $30 originally. During a sale, a discount of 28% was given. A further 15% discount was given t
V125BC [204]

Answer:

$18.36

Step-by-step explanation:

In this question, we have to find the cost of the cake for the customer who orders a month early.

We know that the original price of the cake is $30.

We also know that there was a 28% discount and a 15% discount added to the purchase.

Remember, You don't add discount percentages together, you discount the prices separately.

Solve:

First, apply the 28% discount.

30 · 0.28 = 8.40

30 - 8.40 = 21.60

Now apply the 15% discount to the new price.

21.60 · 0.15 = 3.24

21.60 - 3.24 = $18.36

They needed to pay $18.36 for the cake.

6 0
3 years ago
Which statements are true about the graph of y ≤ 3x + 1 and y ≥ –x + 2? Check all that apply. 1.The slope of one boundary line i
zloy xaker [14]

Answer:

2.Both boundary lines are solid.

3.A solution to the system is (1, 3)

5.The boundary lines intersect.

Step-by-step explanation:

we have

y\leq 3x+1 ----> inequality A

The solution of the inequality A is the shaded area below the solid line y=3x+1

The slope of the solid line is 3

The point (1,3) is  a solution of inequality A (lie in the shaded area of the solution set)

y\geq -x+2 ----> inequality B

The solution of the inequality B is the shaded area above the solid line y=-x+2

The slope of the solid line is -1

The point (1,3) is a solution of inequality B (lie in the shaded area of the solution set)

The solution of the system of inequalities is the shaded area between the two solids lines

see the attached figure

<u><em>Verify each statement</em></u>

1.The slope of one boundary line is 2

The statement is False

2.Both boundary lines are solid.

The statement is True

3.A solution to the system is (1, 3)

The statement is True

4.Both inequalities are shaded below the boundary lines

The statement is False

5.The boundary lines intersect.

The statement is True

The intersection point is (0.25,1.75)

see the attached figure

7 0
3 years ago
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Y_Kistochka [10]

Answer:

second one is p^3

Step-by-step explanation:

p^2 is p * p so multiplying another p is p^3

8 0
2 years ago
Kamden is a mind-reading alien. He had each friend draw and look at a card, then he guessed whether the card had a star on it.
klasskru [66]

Answer:

Step-by-step explanation:

corvet corvet

6 0
3 years ago
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