X= -213/10 , look at the steps in the picture
Answer:
The function is decreasing in the following intervals
A. (0, 1)
C. (2, pi)
Step-by-step explanation:
To answer this question, imagine that you draw lines of slope m parallel to the function shown at each point.
-If the slope of this line parallel to the function is negative for those points then the function is decreasing.
-If the slope of this line parallel to the function is positive for those points then the function is increasing.
Observe in the lines drawn in the attached image. You can see that they have slope less than zero in the following interval:
(0, 1) U (2, pi)
Therefore the correct option is:
A. (0, 1)
C. (2, pi)
Question 8:
Steps:
1. Find the area of the 2 triangles at both end.
2. Find the lateral surface area (that is, 3 rectangles)
3. Add them up.
Step 1:
Area of triangle = 1/2 x base x height
Area of 1 triangle = 1/2 x 4 x 5.7 = 11.4 m²
Area of 2 triangles = 11.4 x 2 = 22.8 m²
Step 2:
Area of the lateral surface area = perimeter of the triangle x height
Area of the lateral surface area = (4 + 7 + 5.7) x 8.6 = 143.62 m²
Step 3:
Total surface area = 22.8 + 143.62 = 166.4 m² (nearest tenth)
Answer: 166.4 m²
Question 9:
Steps:
1. Find the area of the square base.
2. Find the area of the 4 triangles.
3. Add them up.
Step 1:
Area of the square = 8 x 8 = 64 cm²
Step 2:
Area of 1 triangle = 1/2 x 8 x 15.3 = 61.2 cm²
Area of 4 triangles = 61.2 x 4 = 244.8 cm²
Step 3:
64 + 244.8 = 308.8 cm²
Answer: 308.8 cm²
Question 10:
Volume = Length x Width x Height
Volume = 1 1/2 x 2 1/2 x 8 = 30 ft³
Answer: 30 ft³
Answer:
m
=
y
1
−
y
2
x
1
−
x
2
m
=
2
−
(
−
2
)
3
−
2
=
4
Point-Slope Formula:
y
−
y
1
=
m
(
x
−
x
1
)
y
−
2
=
4
(
x
−
3
)
y
=
4
x
−
10
Step-by-step explanation:m