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3 years ago

Write the equation of the line parallel to 3x - 4y = 18 that goes through the point (8,-3)

Mathematics

1 answer:

kkurt [141]3 years ago

3 0

Answer:

y=3/4x-9

Step-by-step explanation:

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The formula below gives the sum of the degrees, S, of the interior angles of a polygon. If n represents the number of sides, whi

Helga [31]

Answer:

The equation representing the value of n is, $n=\frac{S}{180^{\text{o}}}+2$ .

Step-by-step explanation:

The formula to compute the sum of the degrees, S, of the interior angles of a polygon is:

$S=(n-2)\times 180^{\text{o}}$

Compute the equation of n as follows:

$S=(n-2)\times 180^{\text{o}}$

$\frac{S}{180^{\text{o}}}=(n-2)$

$n=\frac{S}{180^{\text{o}}}+2$

Thus, the equation representing the value of n is, $n=\frac{S}{180^{\text{o}}}+2$ .

3 0

3 years ago

10. The perimeter of a triangle is 48'. The sides are in the ratio of 1 to 2 to 3. Find the three sides.

pentagon [3]

Answer:

Step-by-step explanation:

The sides are in the ratio 1:2:3, so the lengths of the sides are 1x, 2x, 3x.

1x + 2x + 3x = 48'

6x = 48'

x = 8'

The lengths of the sides are 8', 16', 24'

4 0

2 years ago

Find the approximate area between the curve f(x) = -4x² + 32x and on the x-axis on the interval [0,8] using 4 rectangles. Use th

Doss [256]

Split up the interval [0, 8] into 4 equally spaced subintervals:

[0, 2], [2, 4], [4, 6], [6, 8]

Take the right endpoints, which form the arithmetic sequence

$r_i=2+\dfrac{8-0}4(i-1)=2i$

where 1 ≤ i ≤ 4.

Find the values of the function at these endpoints:

$f(r_i)=-4{r_i}^2+32r_i=-16i^2+64i$

The area is given approximately by the Riemann sum,

$\displaystyle\int_0^8f(x)\,\mathrm dx\approx\sum_{i=1}^4f(r_i)\Delta x_i$

where $\Delta x_i=\frac{8-0}4=2$ ; so the area is approximately

$\displaystyle2\sum_{i=1}^4(-16i^2+64i)=-32\sum_{i=1}^4i^2+128\sum_{i=1}^4i=-32\cdot\frac{4\cdot5\cdot9}6+128\cdot\frac{4\cdot5}2=\boxed{320}$

where we use the formulas,

$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$

6 0

3 years ago

Kit gathered 5 eggs when she visited her cousin's farm. Altogether, the eggs weighed 225.0 grams. She wrote down the weight of e

AfilCa [17]

Easy, all you have to do is add the eggs which she got the grams for (178.7)

Then, subtract 178.7g. from 225.0g. (46.3)

Then just put the eggs according from least to greatest:

1st egg:43.98

2nd egg:45.02

3rd egg:45.07

4th egg:45.72

5th egg:46.3

Hope this helps!

8 0

3 years ago

Read 2 more answers

3. What is the value of a + bc when a = 7, b = 4, and c = 1/2

Brums [2.3K]

Answer:

Step-by-step explanation:

Replace a by 7

and

b by 4

and

c by 1/2

7+4(1/2)

7+2=9

3 0

2 years ago