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2 years ago

How do I solve 4(x+3)=-6(4y-2)

Mathematics

1 answer:

True [87]2 years ago

4 0

<h2>Answer:</h2><h2>x=-6y</h2>

Step-by-step explanation:

Divide both sides by 4:

$\frac{4\left(x+3\right)}{4}=\frac{-6\left(4y-2\right)}{4}$

Simplify to give:

x+3 = -3(2y-1)

Subtract 3 from both sides:

x+3-3 = -3(2y-1)-3

Simplify to give your answer:

x=-6y

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What is an equation of the line that passes through the points (- 2, 1) and (- 8, 4) ?

Fantom [35]

Answer:

y=-x/2

Step-by-step explanation:

m=(4-1)/(-8-(-2))

m=3/-6

m=-1/2

b=y-mx

b=1-(-1/2*(-2))

b=1-1

b=0

y=-x/2

7 0

3 years ago

The price of a sweater was reduced from $20 to $12. By what percentage was the price of the sweater reduced

kirill [66]

Answer:

The price was decreased by 40%

Step-by-step explanation:

Take the original price and subtract the new price

20-12 = 8

Divide by the original price

8/20 = .4

Change to a percent

40 %

The price was decreased by 40%

4 0

3 years ago

Read 2 more answers

1. when y=7 , what is the value of x?<br><br> 2. what is the y-intercept of the graph?

Yakvenalex [24]

1) Correct.

2) The y-intercept is when x=0, so it is (0,5).

7 0

2 years ago

By what percent will a fraction increase if its numerator is decreased by 30%

Nadya [2.5K]

Answer:

40%

Step-by-step explanation:

Let x = numerator

Let y = denominator

$\implies \dfrac{x}{y}$

Decreased by 30% = 100% - 30% = 70% = 70/100 = 0.7

Decreased by 50% = 100% - 50% = 50% = 50/100 = 0.5

$\implies \dfrac{0.7x}{0.5y}$

$\implies \dfrac{0.7}{0.5}=1.4$

$\implies 1.4 \ \dfrac{x}{y}$

1.4 as a percentage = 1.4 x 100 = 140%

Therefore, the percentage increase is 140 - 100 = 40%

3 0

2 years ago

Write an equation of the circle with center (-6, 2) and diameter 10.

marshall27 [118]

Solution:

We know that the formula to write the equation of a circle is (x – h)² + (y – k)² = r², where h is the x coordinate, k is the y-coordinate, r is the radius of circle, and the center of circle is (-6,2).

<u>Finding the radius of the circle.</u>

Diameter: 10 units
Radius: 10/2 units = 5 units

<u>Creating the equation:</u>

(x – h)² + (y – k)² = r²
=> (x + 6)² + (y – 2)² = 5²

The equation is (x + 6)² + (y – 2)² = 5².

Learn more: brainly.com/question/26573763

6 0

2 years ago