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3 years ago

How to calculate the rise and run of a slope (4,-1) and (-2,3)

Mathematics

1 answer:

astra-53 [7]3 years ago

8 0

$m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }$
$m = \frac{3 - (-1)}{-2 - 4}$
$m = \frac{4}{2}$
$m = 2$

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Find the 15th term of the arithmetic sequence -5x+3−5x+3, -9x-2−9x−2, -13x-7,.......???

Anna35 [415]

Answer:

- 61x - 67

Step-by-step explanation:

The n th term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

d = - 9x - 2 - (- 5x + 3)

= - 9x - 2 + 5x - 3

= - 4x - 5 and a₁ = - 5x + 3, thus

$a_{15}$ = - 5x + 3 + 14(- 4x - 5) = - 5x + 3 - 56x - 70 = - 61x - 67

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3 years ago

Find the explicit rule: 2, 6, 18, 54, 162

faust18 [17]

Multiply each number by 3.

2 (x 3) is 6. 6 x 3 is 18, 18 x 3 is 54, 54 x 3 is 162.

Hope this helps!

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3 years ago

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The sum of Pete's and Sam's ages is 30. Five years ago, Pete was 3 times as old as Sam. How old is Sam?

RUDIKE [14]

P-5=3s-15 because Pete is 20 and Sam is 10. 20-5= 15 and 3(10)-15 also equals 15. The answer is C.

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3 years ago

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Can anyone help me find the coordinates (?,?) given that the shape is a parallelogram? (15 points)

xxTIMURxx [149]

The missing coordinates of the parallelogram is (m + h, n).

Solution:

Diagonals of the parallelogram bisect each other.

Solve using mid-point formula:

$$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )$

Here $x_1=m, y_1=n, x_2=h, y_2=0$

$$=\left( \frac{m+h}{2}, \frac{n+0}{2}\right )$

$$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n}{2}\right )$

<u>To find the missing coordinate:</u>

Let the missing coordinates by x and y.

Here $x_1=0, y_1=0, x_2=x, y_2=y$

$$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{x}{2}, \frac{y}{2}\right )$

Now equate the x-coordinate.

$$ \frac{m+h}{2}=\frac{x}{2}$

Multiply by 2 on both sides of the equation, we get

m + h = x

x = m + h

Now equate the y-coordinate.

$$\frac{n}{2} = \frac{y}{2}$

Multiply by 2 on both sides of the equation, we get

n = y

y = n

Hence the missing coordinates of the parallelogram is (m + h, n).

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3 years ago

Solve the following system of equations using the

Alja [10]

Answer:

The solutions are 3 and -5

Step-by-step explanation:

x+3=x^2+3x-12

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=(x-3)(x+5)

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