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3 years ago

Describe the process of creating a linear equation using two points and the point-slope form.

1 answer:

8 0

First find the slope of the line = (y2 - y1) / (x2 - x1) where the 2 points are (x1, y1 and (x2, t2).

Then substitute the values of the slope (m) and one of the points into the point-slope formula

y - y1 = m(x - x1)

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Evaluate the expression (35+ 7) {6 – 5).

Fantom [35]

Answer:

The answer is 41

Step-by-step explanation:

(35 + 7) (6 - 5)

(42) × (1) = 41

Thus, The answer is 41

<u>-TheUnknownScientist</u>

8 0

3 years ago

A map is drawn so that every 1 inch on the map represents 50 actual miles. The table below can be used to record the actual dist

olasank [31]

200 miles
You just multiply 50 by 4.

:) have a good day !

7 0

3 years ago

6c – 7 + d + 4 – 6d combine like terms

kkurt [141]

Answer:

6c-5d-3

Step-by-step explanation:

6c-7+d+4-6d=6c-5d-3

5 0

3 years ago

Evaluate each expression by replacing the variable with 8. Show each step. (8 marks) 2n - 6

monitta

Answer:

Step-by-step explanation:

2n-6

n=8

2(8)-6

16-6

4 0

3 years ago

A geometric series has second term 375 and fifth term 81 . find the sum to infinity of series .

Eduardwww [97]

Answer: $\bold{S_{\infty}=\dfrac{3125}{2}=1562.5}$

<u>Step-by-step explanation:</u>

a₁, 375, a₃, a₄, 81

First, let's find the ratio (r). There are three multiple from 375 to 81.

$375r^3=81\\\\r^3=\dfrac{81}{375}\\\\\\r^3=\dfrac{27}{125}\qquad \leftarrow simplied\\\\\\\sqrt[3]{r^3} =\sqrt[3]{\dfrac{27}{125}}\\ \\\\r=\dfrac{3}{5}$

Next, let's find a₁

$a_1\bigg(\dfrac{3}{5}\bigg)=375\\\\\\a_1=375\bigg(\dfrac{5}{3}\bigg)\\\\\\a_1=125(5)\\\\\\a_1=625$

Lastly, Use the Infinite Geometric Sum Formula to find the sum:

$S_{\infty}=\dfrac{a_1}{1-r}\\\\\\.\quad =\dfrac{625}{1-\frac{3}{5}}\\\\\\.\quad =\dfrac{625}{\frac{2}{5}}\\\\\\.\quad = \dfrac{625(5)}{2}\\\\\\.\quad = \large\boxed{\dfrac{3125}{2}}$

7 0

3 years ago