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Answer:
x=-4
Step-by-step explanation:
Answer:
Using the slope intercept formula, we can see the slope of line p is ¼. Since line k is perpendicular to line p it must have a slope that is the negative reciprocal. (-4/1) If we set up the formula y=mx+b, using the given point and a slope of (-4), we can solve for our b or y-intercept. In this case it would be 17.
Answer:
m=1
Step-by-step explanation:
(8,18);(2,12)
(x1,y1)=(8,18)
(x2,y2)=(2,12)
Use the slope formula:
This question is incomplete because it lacks the appropriate diagram. Find attached to this answer the complete diagram
Question:
Find the area of the shaded segment. Round your answer to the nearest square centimeter.
a) 24 cm²
b) 23 cm²
c) 21 cm²
d) 22 cm²
Answer:
d) 22 cm²
Step-by-step explanation:
We have Area and a Triangle in that diagram.
In other to find the shades segment , we have to find the Area of the triangle and the Area of the sector
Step 1
Area of a Triangle
= 1/2 × a × b × sin θ
Where θ = 120°
a = 6 cm
b = 6 cm
Area of the triangle = 1/2 × 6 × 6 × sin 120°
= 15.59 cm²
Step 2
Area of the sector
The formula is given as
Area = πr²θ/360
r = radius = 6cm
Area = π × 6² × 120/ 360
Area = 37.699111843cm²
Approximately = 37.70 cm²
Step 3
The Area of the shaded segment = Area of the sector - Area of the triangle
= 37.70cm² - 15.59cm²
= 22.11 cm²
Approximately to the nearest square centimeter
= 22 cm²