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2 years ago

The equation through the point (-2, 5) and is parallel to the line with the equation y=2x+7

1 answer:

8 0

If a line is parallel to y=2x+7 the line must have the same slope but different y- intercept. The equation y=2x+7 has a slope (m) of 2 and y- intercept of 7.

By using the point slope formula and the point (-2,5) we have:

$y = m(x -x1) + y1 \\ \\ y = 2(x - ( - 2)) + 5 \\ \\ y = 2(x + 2) + 5 \\ \\ y = 2x + 4 + 5 \\ \\ y = 2x + 9$

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If a die is rolled one time find these probabilities of getting a 2

lapo4ka [179]

1/6
the die has six sides 1,2,3,4,5,6
to get 2, you have one chance from 6
you get
1/6

8 0

2 years ago

You want to buy some rice. A 7-ounce package costs 2.59. A 12- ounce package costs $4.56. An 18-ounce package costs 6.30 which p

Reika [66]

Type 1 rice :

7-ounce package costs = 2.59.

Cost of 1-ounce of Type 1 rice= 2.59/7 = $0.37

Type 2 rice :

12-ounce package costs = $4.56

Cost of 1-ounce Type 2 rice = 4.56/12 = $0.38

Type 3 rice :

18-ounce package costs = $ 6.30

Cost of 1-ounce Type 3 rice = 6.30/18 = $0.35.

From the above calculations, we can see that the cost of 1-ounce Type 3 rice is lowest. Therefore, 18-ounce package is Best Buy.

6 0

3 years ago

Use function notation to represent the area of a circle whose circumference is 103 cm

Nataly_w [17]

Circumference of the circle $=103$ cm

i.e., $C = 2 \pi r = 103$

i.e., $r = \frac{103}{2 \pi}$

Area of the circle is given by

$A = \pi r^2$

$A = \pi (\frac{103}{2 \pi})^2$

$A = \pi (\frac{10609}{4 \pi^2})$

$A =\frac{10609}{4 \pi}$

Therefore, the area of the circle is: $A =\frac{10609}{4 \pi}$ $cm^2$

4 0

3 years ago

I need help ASAP!!!!!!

topjm [15]

Answer:

1. YES 2. NO

Step-by-step explanation:

1. Since x=0.121212... and the question is asking for 100x, we need to multiply each side by 100. 0.121212... multiplied by 100 is 12.1212... So YES, 100x is still a repeating decimal.

2. 12.121212... minus 0.121212... would just be 12. This is because if we know that all the numbers behind the decimal point is 0.121212 and so on, 12.121212... minus 0.121212... the numbers behind the decimal would cancel out. So we are left with 12. So NO, the answer for 99x is NOT a repeating decimal.

6 0

2 years ago

What sales tax, at a rate of 6 1/2%, much you pay on the purchase of a computer hard disk drive costing $258.75?

stepan [7]

Answer:

275.57

Step-by-step explanation:

258.75 ×6.5=16.817

275.57 +26.82 =275.57

4 0

2 years ago