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2 years ago

What is the slope of the line through (-5,-2) and (-1,-10)?

Mathematics

2 answers:

joja [24]2 years ago

8 0

Answer:

m=-2

Step-by-step explanation:

plug in the points in the formula y2-y1/x2-x1

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kicyunya [14]2 years ago

4 0

answer

-2

explanation

the slope can be found through m = (y2 - y1) / (x2 - x1)

with the points (-5, -2) and (-1, -10)

x1 = -5

x2 = -1

y1 = -2

y2 = -10

m = (-10 - -2) / (-1 - -5)

m = -8 / 4

m = -2

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A rectangle is placed around a semicircle as shown below. The length of the rectangle is 8 cm. Find the area of the shaded regio

icang [17]

Answer:

Area of the shaded region = 6.88 cm²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle - Area of the semicircle

Area of the rectangle = Length × Width

Length of the rectangle = AD = 8 cm

Width of the rectangle = OP = 4 cm [OP, OB and OC are the radii of the circle which are equal in measures]

Area of the rectangle = 8 × 4 = 32 cm²

Area of the semicircle = $\frac{1}{2}\pi r^{2}$

= $\frac{1}{2}\pi (OP)^{2}$

= $\frac{1}{2}\pi (4)^{2}$

= 25.12 cm²

Area of the shaded region = 32 - 25.12

= 6.88 cm²

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3 years ago

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Vera_Pavlovna [14]

Answer:

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Step-by-step explanation:

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2 years ago

Given: ABCD is a ∥-gram; DE ∩ AB =F Prove: △ADF∼△CDE

Vedmedyk [2.9K]

Answer:

By AA similarity

Step-by-step explanation:

We have been given that ABCD is a parallelogram

So, by the property of parallelogram AB ||CD and FD is cutting the line BC

Hence, FD is transverse line. In transverse line alternate angles are equal.

Therefore, ∠AFD=∠EDC (alternate interior angles)

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3 years ago

Solve the equation 4(x – 2) = 3x + 1. Question 15 options: A) 3 B) 8 C) 9 D) 2

telo118 [61]

Answer:

x = 9

Step-by-step explanation:

Step 1: Write equation

4(x - 2) = 3x + 1

Step 2: Solve for x

Distribute 4: 4x - 8 = 3x + 1
Subtract 3x on both sides: x - 8 = 1
Add 8 to both sides: x = 9

Step 3: Check

Plug in x to verify it's a solution.

Substitute: 4(9 - 2) = 3(9) + 1
Parenthesis (add): 4(7) = 3(9) + 1
Multiply: 28 = 27 + 1
Add: 28 = 28

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3 years ago

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prohojiy [21]

So a parallel line is were the lines never meet but the perpendicular line meet at a right angle

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3 years ago