Answer:
see explanation
Step-by-step explanation:
To determine which ordered pairs are solutions to the equation
Substitute the x and y values into the left side of the equation and if equal to the right side then they are a solution.
(- 1, - 6)
3(- 1) - 4(- 6) = - 3 + 24 = 21 = right side ← thus a solution
(- 3, 3)
3(- 3) - 4(3) = - 9 - 12 = - 21 ≠ 21 ← not a solution
(11, 3)
3(11) - 4(3) = 33 - 12 = 21 = right side ← thus a solution
(7, 0)
3(7) - 4(0) = 21 - 0 = 21 = right side ← thus a solution
The ordered pairs (- 1, - 6), (11, 3), (7, 0) are solutions to the equation
Answer: the height of the prism is 14 cm.
Step-by-step explanation:
The formula for determining the volume of a rectangular prism is expressed as
Volume = length × height × width
Volume = LWH
The length of the prism is 3 times the width. It means that
L = 3W
The height is twice the width. This means that
H = 2W
Therefore,
Volume = 3W × × W × 2W = 6W³
The volume of a rectangular prism is 2,058 cubic cm. This means that
2058 = 6W³
Dividing through by 6, it becomes
343 = W³
W = 7
Therefore, the height of the prism would be
H = 2W = 2 × 7
H = 14 cm
Answer:
3. 112.2 yd
4. 30m
Step-by-step explanation:
Number 3:
- L × W (length × width) = A
- 18.7 × 6 = 112.2 yd
Number 4:
- B × H (base × height) = A
- 6 × 5 = 30 m
I hope this helps!
The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:

Step-by-step explanation:
Given equation of line is:

We have to convert the given line in slope-intercept form to find the slope of the line
So,
Dividing both sides by 4

Let m1 be the slope of given line
Then

Let m2 be the slope of line perpendicular to given line
As we know that produt of slopes of two perpendicular lines is -1

The slope intercept form of line is given by:

Putting the value of slope

to find the value of b, putting (3,-3) in equation

Putting the value of b in the equation

Hence,
The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:

Keywords: Equation of line, slope
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