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Dominik [7]
3 years ago
11

BRAINLIEST IF CORRECT PLEASE SHOW WORK:)

Mathematics
2 answers:
Alexus [3.1K]3 years ago
8 0
The answer would be d 1 1/18 because you have to convert the 1/6 to 3/18 and 2/9 to 4/18 so 4/18 minus 3/18 is 1/18 and 8 minus 7 is 1 so it is 1 1/18
Licemer1 [7]3 years ago
4 0
First of all, you will want to change the fraction to have the same denominator.

The common factor for 9 and 6 is 18. (9x2=18 and 6x3=18)
Then, you multiply the numerator by the factor you got in the first step, which is 2 and 3, respectively.
So the new fractions are \frac{4}{18} and 7 \frac{3}{18}

The next step is to simply subtract the mixed numbers!
8 \frac{4}{18} - \frac{3}{18} = 1 1/18

The answer would be <span>D: 1 1/18!</span>
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Answer:

a) slope intercept form: y = -5/14 x + 7/2

b) point slope form: y - 1 = 3/2(x - 4)

Step-by-step explanation:

a) Line A: (4,1) and (0, 7/2)

Slope = (1 - 7/2)/(4 - 0)

Slope = - 5/2 * 1/4

Slope = - 5/14

Equation in slope intercept form:

y = -5/14 x + 7/2

b)

(4,1) and (0, -5)

Slope = (1 + 5)/(4 - 0) = 6/4 = 3/2

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y - 1 = 3/2(x - 4)

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Answer:

Third option is correct. Scale factor 3 ; enlargement.

Step-by-step explanation:

It is given that the figure A'B'C'D' is a dilation of figure ABCD.

We know that after dilation the corresponding sides of image and preimage are in the same proportion.

The image of AD is A'D'.

From the figure it is noticed that the A(-1,2), D(-1,-1), A'(-3,6) and D'(-3,-3).

Distance formula is

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

AD=\sqrt{(-1+1)^2+(-1-2)^2}=\sqrt{9}=3

A'D'=\sqrt{(-3+3)^2+(-3-6)^2}=\sqrt{81}=9

Scale factor is constant which represents the relation between image and preimage.

k=\frac{A'D'}{AD}

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Therefore the scale factor is 3.

If k>0 it means enlargement and if k<0 it means reduction. Therefore third option is correct.

3 0
3 years ago
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