Answer:
- A'(4, -4)
- B'(0, -3)
- C'(2, -1)
- D'(3, -2)
Step-by-step explanation:
The coordinate transformation for a 270° clockwise rotation is the same as for a 90° counterclockwise rotation:
(x, y) ⇒ (-y, x)
The rotated points are ...
A(-4, -4) ⇒ A'(4, -4)
B(-3, 0) ⇒ B'(0, -3)
C(-1, -2) ⇒ C'(2, -1)
D(-2, -3) ⇒ D'(3, -2)
_____
<em>Additional comment</em>
To derive and/or remember these transformations, it might be useful to consider where a point came from when it ends up on the x- or y-axis.
A point must have come from the -y axis if rotating it 270° CW makes it end up on the +x-axis. A point must have come from the x-axis if rotating it 270° makes it end up on the +y axis. That is why we write ...
(x, y) ⇒ (-y, x) . . . . . . the new x came from -y; the new y came from x
Answer:
<h2>k = -1</h2>
Step-by-step explanation:
We have the point (5, k) and the equation 2x + y = 9.
Put the coordinates of the point ot the equation:
x = 5, y = k
2(5) + k = 9
10 + k = 9 <em>subtract 10 from both sides</em>
10 - 10 + k = 9 - 10
k = -1
Answer:
volume of tank a=65.63
volume of tank b=61.88
Step-by-step explanation:
3.5*3.75*5=65.63
3*3.75*5.5=61.88
brainliest plz
<em>All Answers Under </em><em>Other Answers:</em>
Explanation:
First, you need to add all of the numbers to find the total budget. The total budget is <u>$1,116.</u> Then, to find the percentages, you need to divide each sections' money by the budget. For example, for 'contributions', you will do $175.76/$1,116 and get 0.157. But, this is a decimal. To make it into a percentage, you move the decimal point 2 spaces to the right. .157 = 15.7% So, for the 'contributions' section, the answer is 15.7%. Another example. For the 'housing' section, the amount was $350.84. Divide that by $1,116.
Move the decimal point <em>2 spaces to the right</em> -- 31.4%
<u>I hope you understand how I got these answers</u>
<em>Other Answers:</em>
Transportation: 4.5%
Clothing: 2.7%
Medical Expenses: 3.1%
Food: 17.9%
Taxes: 9.5%
Miscellaneous: 15.1%
Answer:
y = 1/2x + 4
Step-by-step explanation:
If the line is perpendicular to y = -2x + 5 then the new line has a slope of 1/2.
So solve for b: using y = mx + b
2 = 1/2(-4) + b
2 = -2 + b
4 = b
Put it all together
y = 1/2x + 4
