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maks197457 [2]
3 years ago
11

Find the slope of the line through the points (-4, 3) and (3, 5)

Mathematics
2 answers:
Amanda [17]3 years ago
6 0

Answer: 2/7

Step-by-step explanation:

Slope is ∆y/∆x. ∆ is read as "delta". The "delta" sign means "the difference between". So that means the difference between the y-coordinates divided by the x-coordinates gives us slope. Therefore, using the coordinates, 5-3 gives us the rise. And 3-(-4) gives us the run. Rise/Run is also equivalent to the slope. Thus, our final answer is 2/7.

lukranit [14]3 years ago
3 0
Use the formula y2 -y1/x2-x1
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The ratio of the radii of two circles is 2:3. The diameter of the smaller circle is 15 mm. What is the length of the diameter of
mixer [17]
The answer is 11.25 mm.

A diameter of a circle is twice of its radius: d = 2r    ⇒ r = d/2

small circle                                       large circle
radius: r1                                           radius: r2 = ?
diameter: d1 = 15 mm
⇒ r1 = d1/2 = 15/2 mm

Since t<span>he ratio of the radii of two circles is 2:3, we have:
r1 : r2 = 2 : 3
which can also be expressed as:
</span>\frac{r1}{r2}= \frac{2}{3}
<span>
We know that r1 is 7.5, so let's implement it:
</span>\frac{7.5}{r2} = \frac{2}{3}

Let's multiply both sides of the by 3r2:
3r2* \frac{7.5}{r2} =3r2* \frac{2}{3}
⇒ 3 * 7.5 = 2*r2
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⇒ r2= \frac{22.5}{2} =11.25 mm

5 0
3 years ago
Read 2 more answers
Estimate the product or quotient. 91*17
Diano4ka-milaya [45]
The product is 1800
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8 0
4 years ago
The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. The length of the h
Alex17521 [72]

Answer:

Step-by-step explanation:

Let x represent the length of the hypotenuse.

Let y represent the length of the the shorter leg.

Let z represent the length of the longer leg.

The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. It means that

z = 2y + 20

The length of the hypotenuse is 22 inches more than twice the length of the shorter leg. It means that

x = 2y + 22

We would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

(2y + 22)² = y² + (2y + 20)²

(2y + 22)(2y + 22) = y² + (2y + 20)(2y + 20)

= 4y² + 44y + 44y + 484 = y² + 4y² + 40y + 40y + 400

4y² + 88y + 484 = y² + 4y² + 80y + 400

4y² + 88y + 484 = 5y² + 80y + 400

5y² - 4y²+ 80y - 88y + 400 - 484

y² - 8y - 84 = 0

y² + 6y - 14y - 84 = 0

y(y + 6) - 14(y + 6)

y - 14 = 0 or y + 6 = 0

y = 14 or y = - 6

The shorter length cannot be negative hence y = 14 inches

The length of the shorter side is 14 inches.

The length of the hypotenuse is

(2 × 14) + 22 = 50 inches

The length of the longer side is

(2 × 14) + 20 = 48 inches

7 0
3 years ago
Jake lives in San Mateo. He bought an item for $787.31 and when the clerk calculated the sales tax it came out to exactly
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not exactly sure what to round to. but if you're ruining to the nearest hundred it would be : 82.87 and to the nearest tenth is would be : 82.9 (:

6 0
3 years ago
Please help me on this question I would highly appreciate it please
MrRa [10]
Two plus nine-teen is twenty one then you subtract seven from that and get fourteen. Your answer is 14 foot
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3 years ago
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