Option B: a counterclockwise rotation of 90° about the origin
Explanation:
From the graph, we can see the coordinates of the figure A are (0,2), (-1,6) and (-4,4)
The coordinates of the figure A' are (-2,0), (-6,-1) and (-4,-4)
<u>Option B: a counterclockwise rotation of 90° about the origin
</u>
The transformation rule for a coordinate to reflect a counterclockwise rotation of 90° about the origin is given by
Let us substitute the coordinates of the figure A
Thus, we have,
Thus, the resulting coordinates are equivalent to the coordinates of the figure A'.
Therefore, the figure is a counterclockwise rotation of 90° about the origin
.
Hence, Option B is the correct answer.
Answer:
h = 6
Step-by-step explanation:
Given the 2 equations
- 3x + 4y = - 30 → (1)
9x + 5y = 39 → (2)
We require the value of the x- coordinate at the point of intersection, thus require to eliminate the y- term from the equations
Multiply (1) by 5 and (2) by - 4
- 15x + 20y = - 150 → (3)
- 36x - 20y = - 156 → (4)
Add (3) and (4) term by term thus eliminating y
- 51x = - 306 ( divide both sides by - 51 )
x = h = 6
Answer:
C
Step-by-step explanation:
The angle is the same so they would both be 60 degrees.
Answer:
-8 and -2
Step-by-step explanation:
f(x) basically means y and at the y value 0 the x values are -8 and -2 (also known as the roots of the function)
The inequality that can be used to determine the number of boxes of donuts, d, they must sell in order to meet their goal is $1500 ≥ $575 + $5d.
<h3>What is the inequality?</h3>
Here are inequality signs and what they denote:
- > means greater than
- < means less than
- ≥ means greater than or equal to
- ≤ less than or equal to
Total amount that needs to be raised ≥ amount made at the fruit sale + (profit per box x number of boxes)
$1500 ≥ $575 + $5d
To learn more about inequality, please check: brainly.com/question/5031619
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