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3 years ago

Write the equation of the line that passed through the points (-1,6) and (5,0)

Mathematics

1 answer:

lidiya [134]3 years ago

7 0

Answer: y = -1x + 5

Step-by-step explanation:

1. Plug the coordinates into the slope formula (y2 - y1)/ (x2 - x1)

(0 - 6)/ (5 -(-1))

2. Solve for slope

-6/6

= -1

3. Plug the first coordinate and slope into the point slope form equation (y - y1) = slope(x - x1) to find the rest of the equation of the line

(y -(-1)) = -1( x - 6)

4. Solve for y

y + 1 = -1x + 6 -----> y = -1x + 5

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5y-21=14<br><br>please help me I need the full method

SSSSS [86.1K]

5y-21=14

or, 5y = 14+21

or, 5y = 35

or, y = 35/5 = 7

Answer is 7.

7 0

3 years ago

5. Write an equivalent expression to 1/4 (24x + 7 – 12x).

lapo4ka [179]

Answer:

Step-by-step explanation:

The easiest and most proper way to approach this task is to combine like terms inside parentheses: (24x + 7 – 12x) => (12x + 7).

Then (1/4)(24x + 7 – 12x) = (1/4)(12x + 7). This is an acceptable answer. There is the option of carrying out the multiplication, which results in

3x + 7/4, which is another acceptable answer.

6 0

3 years ago

Carmen is mailing packages. Each small package costs her $2.60 to send. Each large package costs her $3.40. How much will it cos

Fantom [35]

Answer:

By themselves $18.20, $13.60, and together $31.80

Step-by-step explanation:

$2.60 multiplied by 7 equals $18.20

$3.40 multiplied by 4 equals $13.60

Together this equals $31.80

6 0

3 years ago

) A watershed experiences a rainfall of 8 inches. What is the runoff volume when the curve number is 80

finlep [7]

Answer:

5.625 inches

Step-by-step explanation:

Given that:

Total Rainfall in inches (P) = 8 inches

The runoff volume (in inches) Q = ???

The curve number CN = 80

Recall that: The runoff volume can be calculated by using the formula:

$Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}$ for P > 0.2S

Q = 0 for P < 0.2S

$S = \dfrac{1000}{CN}-10$

where:

curve number CN = 80

$S = \dfrac{1000}{80}-10$

S = 2.5 inches

Since the rainfall (P) is greater than 0.25

Then:

$Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}$

$Q = \dfrac{(8-0.2(2.5))^2}{(8+0.8(2.5))}$

$Q = \dfrac{(8-0.5)^2}{(8+2)}$

$Q = \dfrac{(7.5)^2}{(10)}$

$Q = \dfrac{(56.25)}{(10)}$

Q = 5.625 inches

Thus, the runoff volume = 5.625 inches

4 0

4 years ago

The velocity in feet per second, V, a skydiver is moving at after falling

chubhunter [2.5K]

Answer:

The answer is C

Step-by-step explanation:

Because the answer is just C

4 0

3 years ago