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3 years ago

What us the equation of the line that passes through point (2,5) and (0, -2)

Mathematics

1 answer:

erastovalidia [21]3 years ago

5 0

Answer:

y = 7/2 x -2

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/(x2-x1)

= (-2 -5)/(0-2)

=-7/-2

= 7/2

We know the y intercept is -2 ( The x coordinate is 0)

Using the slope intercept form of the equation

y = mx+b where m is the slope and b is the y intercept

y = 7/2 x -2

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An agent of an insurance company gets a commission of 5% on the basic premium he collects. What will be the commission earned by

nika2105 [10]

.05*4800=240 that's the answer

6 0

3 years ago

The measures of the angles of △ABC are given by the expressions in the table.

vovangra [49]

The sum of angles of a triangle is 180°.

48 +(6x -28) +2x = 180
8x +20 = 180
8x = 160
x = 20

∠B = (6x -28)° = (6*20 -28)° = 92°

∠C = 2x° = 40°

___
x = 20
∠B = 92°
∠C = 40°

5 0

3 years ago

Dr. Gonzalez is considering joining the Garden Club. If he pays a $25 membership fee, he

ziro4ka [17]

Answer:

In the Garden Club the cost will be a fixed fee of $25 and $10 for each rosebush, so if he buys X rosebushes, the total cost will be:

C1(X) = $25 + $10*X

While in the local nursery there is no initial cost, and each rosebush costs $15, so if he buys X rosebushes, the total cost will be:

C2(X) = $15*X

Now, let's find the value of X where C1 and C2 are equal, this is:

$25 + $10*X = $15*X

$25 = $15*X - $10*X = $5*X

X = 25/5 = 5

This means that if he buys 5 rosebushes, he will pay the same amount in both places.

If he buys less than 5 rosebushes, he will pay less in the local nursery (as it has a bigger slope, but no initial fee)

If he buys more than 5 rosebushes, he will pay less in the Garden club (because it has a smaller slope)

5 0

4 years ago

When measuring the length a and the width b of a rectangle, it was found that 5.4< a< 5.5 and 3.6< b< 3.7 (in centim

leva [86]

Answer:

The possible values of the perimeter of the rectangle is between 18 and

18.4 cm ⇒ [18 < perimeter of rectangle < 18.4] cm

Step-by-step explanation:

* Lets explain how to solve the problem

- The perimeter of any quadrilateral is the sum of the length of its

four sides

- The rectangle is a quadrilateral with each two opposite sides are

equal in lengths, then its perimeter = 2l + 2w, where l, w are its

length and width

∵ The the length of the rectangle is a

∵ 5.4 < a < 5.5 cm

∵ The perimeter of the rectangle = 2a + 2b

- Lets multiply the inequality by 2

∴ 5.4 × 2 < a × 2 < 5.5 × 2

∴ 10.8 < 2a < 11 ⇒ (1)

∵ The width of the rectangle is b

∵ 3.6 < b < 3.7 cm

- Lets multiply the inequality by 2

∴ 3.6 × 2 < b × 2 < 3.7 × 2

∴ 7.2 < 2b < 7.4 ⇒ (2)

- <u><em>Add inequalities (1) and (2)</em></u>

∵ 10.8 < 2a < 11

+ 7.2 < 2b < 7.4

∴ 18 < 2a + 2b < 18.4

∵ 2a + 2b represents the perimeter of the rectangle

∴ The possible values of the perimeter of the rectangle is between

18 and 18.4 cm ⇒ [18 < perimeter of rectangle < 18.4] cm

7 0

3 years ago

11. A boy buys four video games from the store and a frequent Gamer discount card for $10. Later that day, he

Tamiku [17]

Answer:

Total without the discount $52.50. Total with the discount $52.

Step-by-step explanation:

First, start by adding the 2 dollar discount to the total. Next remove the ten dollars for the Frequent Gamer card. This brings the total of the games to $210. Now all you have to do is divide by 4 and you have your answer. To get the answer with the discount skip the first step.

4 0

3 years ago