Answer:
- (-16x² +10x -3) +(4x² -29x -2)
- (2x² -11x -9) -(14x² +8x -4)
- 2(x -1) -3(4x² +7x +1)
Step-by-step explanation:
I find it takes less work if I can eliminate obviously wrong answers. Toward that end, we can consider the constant terms only:
- -3 +(-2) = -5 . . . . possible equivalent
- -10 -5 = -15 . . . . NOT equivalent
- 3(-5) -2(5) = -25 . . . . NOT equivalent
- -9 -(-4) = -5 . . . . possible equivalent
- -7 -(-5) = -2 . . . . NOT equivalent
- 2(-1) -3(1) = -5 . . possible equivalent
Now, we can go back and check the other terms in the candidate expressions we have identified.
1. (-16x² +10x -3) +(4x² -29x -2) = (-16+4)x² +(10-29)x -5 = -12x² -19x -5 . . . OK
4. (2x² -11x -9) -(14x² +8x -4) = (2-14)x² +(-11-8)x -5 = -12x² -19x -5 . . . OK
6. 2(x -1) -3(4x² +7x +1) = -12x² +(2 -3·7)x -5 = -12x² -19x -5 . . . OK
All three of the "possible equivalent" expressions we identified on the first pass are fully equivalent to the target expression. These are your answer choices.
Answer:
forty point five hundred forty-five
Step-by-step explanation:
The dimension of the tennis court in the scaled model is 0.6 ft long and 0.3 ft wide.
Given, a rectangular plot of land that is 1,500 ft long and 600 ft wide the scale model of the park measures 7.5 ft x 3 ft.
The actual tennis court must be 120 ft long and 60 ft wide, then we need to find the dimensions of the tennis court in the scale model.
<h3>What is a scaled model?</h3>
A scale model is a physical model which is geometrically similar to an object. Scale models are generally smaller than large prototypes such as vehicles, buildings, or people.
First, divide the original measurements by the scaled ones. We get
1500 ft. ÷7.5 ft = 200
600 ft. ÷ 3 ft. = 200
Now, divide tennis courts actual dimensions by 200. That is
120 ft. ÷ 200 = 0.6 ft
60 ft. ÷ 200 = 0.3 ft
Therefore, the dimension of the tennis court in the scaled model is 0.6 ft long and 0.3 ft wide.
To learn more about scale factor visit:
brainly.com/question/22312172.
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Answer:
x=12 if you divide you'll get 4
2 x = 72
4 n = 7.5
6 no solution (the variable cancelled itself out)
8 no solution
10 x = 43
12 y=-5.83-x
14 <em>(P-2l)/2 = w</em>
16 Your team's score was 85 (because you scored 13 more points than the other team and 72 + 13 = 85).
18 The other scientist had the greater temperature (950 C > 1725 F), since 950 C = 1742 F
