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bezimeni [28]
3 years ago
6

Patricia owned so many posters that she decided to sell 64 of them to her friends. After selling the posters, she still had 176

left. Write and solve an equation to find the number of posters p Patricia had originally.
Mathematics
2 answers:
Aleks04 [339]3 years ago
6 0

Answer:

p-64=176

p=240.

Step-by-step explanation:

Since she gave away 64 posters, she originally had 64 more posters than she does now. So, p-64=176, p=176+64, or p=240.

ValentinkaMS [17]3 years ago
3 0

Answer:

p - 64 = 176

Step-by-step explanation:

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For the given line segment, write the equation of the perpendicular bisector.
Jlenok [28]

Answer:

D) y = -4/5x – 47/10

Step-by-step explanation:

Step 1. Find the <em>midpoint of the segmen</em>t.

The two end points are (-6, -4) and (-2, 1).

The midpoint is at the average of the coordinates.

(xₚ, yₚ) = ((x₁ + x₂)/2, (y₁ + y₂)/2)

(xₚ, yₚ) = ((-6 - 2)/2, (-4 + 1)/2)

(xₚ, yₚ) = (-8/2, -3/2)

(xₚ, yₚ) = (-4, -3/2)

===============

Step 2. Find the <em>slope (m₁) of the segment</em>

m₁ = (y₂ - y₁)/(x₂ - x₁)

m₁ = (1 - (-4))/(-2 - (-6))

m₁ = (1 + 4)/(-2 + 6)

m₁ = 5/4

===============

Step 3. Find the <em>slope (m₂) of the perpendicular bisector </em>

m₂ = -1/m₁

m₂ = -4/5

====================

Step 4. Find the <em>intercept of the perpendicular bisector</em>

y = mx + b

y = -(4/5)x + b

The line passes through (-4, -3/2).

-3/2 = -(4/5)(-4) + b

-3/2 = 16/5 + b      Multiply each side by 10

 -15 = 32 + 10 b    Subtract 32 from each side

 -47 = 10b             Divide each side by 10

    b = -47/10

===============

Step 5. Write the <em>equation for the perpendicular bisector</em>

y = -4/5x – 47/10

The graph shows the midpoint of your segment at (-4, -3/2) and the perpendicular bisector passing through the midpoint and (0, -47/10).

4 0
3 years ago
Rep viuen
Keith_Richards [23]

Answer:

8 and -4

Step-by-step explanation:

8*-4=-32

8+(-4)=4

7 0
2 years ago
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