Short Answer: A
Remark
The second cut is going to have the same slope as the original line. The lines are parallel.
Step One
You need to find the slope. That is the main part of this problem. You can pick any 2 points on the graph to do that.
<em>Point one</em>
(- 11, 10) That point is on the upper left of the line
<em>Point Two</em>
The y intercept is a handy point in this question. It is right on the y axis. Each square counts as 2, so it is at (0,6)
<em>Formula</em>
slope = m = (y2 - y1) / (x2 - x1)
<em>Givens</em>
y2 = 10
y1 = 6
x2 = -12 Each square counts as 2 in the x direction.
x1 = 0
<u>Substitute and solve.</u>
m = (10 - 6) / (-12 - 0)
m = 4/ - 12
m = - 1/3
Step Two
Find the y intercept of the new line using the given point.
So far what we have is
y = (-1/3)x + b
The point used for the second line is (0,-2)
-2 = (-1/3)*0 + b
b = - 2
Answer
The second line is
y = (-1/3)x - 2
9514 1404 393
Answer:
sin(B) = 2/3
Step-by-step explanation:
The law of sines tells you the sine of an angle is proportional to the length of the opposite side.
sin(B)/b = sin(A)/a
sin(B)/8 = sin(30°)/6 . . . . fill in the given values
sin(B) = 8(1/2)/6 . . . . . . . .multiply by 8
sin(B) = 2/3
Since the quotient of -27x + 9 and 3x² + 4x + 1 is equal to -9x⁻¹, it is equal to -9/x, which is a trans for mation of 1/x.
The area of a rectangular garden in square feet can be represented by z² - 10z +21. The length is z - 7 feet. You have been hired to fertilize the
garden. Recall that the area of the garden is z² - 10z +21. If z = 20 and the fertilizer costs $0.27 per square foot, how much it cost to fertilize
the garden?
Answer:
$ 59.67
Step-by-step explanation:
The area of a rectangular garden in square feet can be represented by z² - 10z +21 square feet
If z = 20
Therefore:
The area of the rectangular garden is:
20² - 10 × 20 + 21
400 - 200 + 21
= 221 square feet
The fertilizer costs $0.27 per square foot, how much it cost to fertilize
the garden?
The cost of fertilize the garden is calculated as:
1 square feet = $0.27
221 square feet = x
Cross Multiply
221 square feet × $0.27
=$ 59.67
