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Nikolay [14]
4 years ago
15

What is the equation of the line that passes through the point (5, -6) and has a slope of – 3/5

Mathematics
2 answers:
prohojiy [21]4 years ago
4 0

Answer:

y = -3/5x - 1

Step-by-step explanation:

Slope intercept form is [ y = mx + b ] where m = slope and b = y-intercept.

We know the slope so we need to find the y-intercept.

y = -3/5x + b

-6 = -3/5(5) + b

-6 = -5 + b

-1 = b

y = -3/5x - 1

Best of Luck!

Inessa [10]4 years ago
3 0

Answer:

The answer is

<h2>y =  -  \frac{6}{5} x - 3 \\</h2>

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

y -  y_1 = m(x -  x_1) \\

where

m is the slope

( x1 , y1) is the point

From the question the point is (5, -6) and slope - 3/5

The equation of the line is

y + 6 =  -  \frac{3}{5} (x - 5) \\ y + 6 =  -  \frac{3}{5} x + 3 \\ y =  -  \frac{6}{5} x + 3 - 6

We have the final answer as

y =  -  \frac{6}{5} x - 3 \\

Hope this helps you

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In order to make green paint a 2:3 ratio of blue paint and yellow paint is used.If there are 30 ounces of green paint how many o
gladu [14]

Answer:

There are 30 ounce of green paint 18 ounces blue paint was needed.

Step-by-step explanation:

Given that,

In order to make green paint a 2:3 ratio of blue paint and yellow paint is used.

Assume 2x blue paint and 3x yellow paint required to make 30 ounce of green paint.

According to the problem,

2x+3x=30

⇒5x=30

\Rightarrow x=\frac {30}{5}

⇒ x=6

The amount of blue paint is = 2×6

                                              =12 ounces

The amount yellow paint is = (3×6)

                                            = 18 ounces

There are 30 ounce of green paint 18 ounces blue paint was needed.

6 0
3 years ago
The selling price of a​ refrigerator, is ​$ 796.40 . If the markup is 10 % of the​ dealer's cost, what is the​ dealer's cost of
8_murik_8 [283]

The final price (what it is selling for) is $796.40

The markup is 10% of the original price (the dealer's cost) , meaning that it is 10% more.

We need to find the original price.

We write this as an equation

The original price *110% = final price

This is because the original price is itself (100%) added with 10%

Plug in the known final price

Original Price * 110% = 796.40

Convert 110% to a decimal because the other numbers- such as the final price are also decimal numbers.

Convert 110% to a decimal by moving the decimal point up 2 spaces ( basically dividing it by 100)

110% = 1.1

So it is now

Original price *1.1 = 796.40

Divide both sides by 1.1 to isolate our unknown, the original price

Original price = $724

5 0
4 years ago
I need help with this practice problem
Norma-Jean [14]

Answer:

Step-by-step explanation:

V of a sphere is (4/3)*pi*r³, and because we have 3 scoops

V = 3* (4/3) * 3.14 * 4³ = 4* 3.14 * 4³ = 803.84 cm³

3 0
3 years ago
f(x)={x+1]^2 Determine for each x-value whether it is in the domain of f or not. (-2 y/n} { -1 y/n} {9 y/n}
kvv77 [185]

Answer:

  all are "yes"

Step-by-step explanation:

A polynomial is defined for all values of x. None are excluded. Every value listed is in the <em>domain</em> of f(x) = (x +1)².

4 0
3 years ago
Tom has a cube a rectangle prism and a triangular prism. Which of these shapes have more than 6 vertical?
Elenna [48]

The cube and rectangular prism.

Step-by-step explanation:

The triangular prism has 5 and the other two both have 8.

7 0
3 years ago
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