Option B:
The linear equation that best describes the model is y = 40x + 800.
Solution:
Take two points which exactly on the line.
Let the points are (0, 800) and (10, 1200).
Slope of the line:
m = 40
y-intercept of the line is where the line crosses at y-axis.
y-intercept (b) = 800
Equation of a line:
y = mx + b
y = 40x + 800
The linear equation that best describes the model is y = 40x + 800.
Option B is the correct answer.
1) The slope of the point (0,0) and (2,1) is 1/2.
2) The slope of the point (0,-1) and (2,-5) is -2.
3) The slope of the point (0,7) and (2,4) is -3/2.
4) The points (-1,3) and (-1,-3) has No slope.
5) The slope of the point (1,-3) and (-1,-3) is zero.
<u>Step-by-step explanation:</u>
There are five set of points given in the question.
You need to find out the slope of the line formed by the points.
The formula used to find the slope of a line is given by,
Slope =
1) The given points are (0,0) and (2,1)
(x1,y1) ⇒ (0,0)
(x2,y2) ⇒ (2,1)
Slope =
⇒ 1/2 is the slope.
2) The given points are (0,-1) and (2,-5)
(x1,y1) ⇒ (0,-1)
(x2,y2) ⇒ (2,-5)
Slope =
⇒
⇒ -2 is the slope.
3) The given points are (0,7) and (2,4)
(x1,y1) ⇒ (0,7)
(x2,y2) ⇒ (2,4)
Slope =
⇒ -3/2 is the slope.
4) The given points are (-1,3) and (-1,-3)
(x1,y1) ⇒ (-1,3)
(x2,y2) ⇒ (-1,-3)
Slope =
⇒ -6/0 (No slope)
If the denominator of a fraction is zero, the expression is not a legal fraction because it's overall value is undefined.
∴ There is no slope.
5) The given points are (1,-3) and (-1,-3)
(x1,y1) ⇒ (1,-3)
(x2,y2) ⇒ (-1,-3)
Slope =
⇒ 0/-2
∴ The slope is zero.
Answer:
The surface area of the pyramid in exact form is 64 + cm²
The approximated surface area of the pyramid is 174.9 cm²
Step-by-step explanation:
The surface area of the square pyramid is the sum of the area of the base and the area of the four triangular faces
In Δ EFD
∵ m∠EFD = 90°
∵ m∠FDE = 60°
∵ ED = 8 cm
- By using sine ratio to find FE
∵ sin(∠FDE) =
∴ sin(60) =
- Multiply both sides by 8
∴ FE = 8 sin(60°)
∴ FE = cm
In Δ AED
∵ AE = ED
∵ m∠D = 60°
- In any isosceles Δ if measure of an angle is 60, then the
triangle is equilateral Δ
∴ Δ AED is an equilateral Δ
∴ AD = 8 cm
∵ The pyramid has 4 identical triangular faces
∵ Area of each Δ = × base × height
∵ AD is the base and FE is the height
∴ Area of each Δ = × 8 ×
∴ Area of each Δ = cm²
∵ Surface area of the pyramid = Area of base + 4 area of a Δ
∵ Area of base = 8²
∴ Area of base = 64 cm²
∴ Surface area of the pyramid = 64 + 4 ×
∴ Surface area of the pyramid = 64 +
The surface area of the pyramid in exact form is 64 + cm²
The approximated surface area of the pyramid is 174.9 cm²