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2 years ago

Line A is defined by the equation y=-3x-2

1 answer:

const2013 [10]2 years ago

4 0

THE ANSWER IS: D. y=-3x+11

when two lines are parallel, they share the same slope, which is -3

then plug in the given point into slope intercept form then solve for standard form

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If the slope is 2 and the line goes through (3,-3) what is the equation?

motikmotik

Answer:

$y = 2x -9$

Step-by-step explanation:

To find the equation of a line using slope and a point, first use the slope to create the basic line using the slope and work from there.

For instance, the base equation here is

$y = 2x$

This line passes through the point (0, 0).

You can then plug in a value for x. In this case, use the value of 3, as it corresponds with your question.

$y = 2 * 3$

A point on the line of y = 2x would thus be (3, 6).

To make the y-value equal -3, you must then subtract from the original equation. There are 9 units between 6 and -3, so you must subtract nine units in the equation. You should get this at the end:

$y = 2x -9$

6 0

3 years ago

I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing x to the left side and factor out x :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for x by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

5 0

2 years ago

What is the slope of this line?

nataly862011 [7]

Answer: $-\frac{8}{5}$

Remember: RISE/RUN (y/x). Lines that are increasing have a positive slope, and lines that are decreasing have a negative slope.

You can find the slope in two ways:

1. Useful if the line is graphed: count the units between 2 points on the line.

Let's use the points (-1, 4) and (4, -4).

(-1, 4) is 8 units higher than (4, -4) and 5 units to the left of (4, -4).

Because the line is decreasing, the slope is negative.

Therefore, the slope is $-\frac{8}{5}$ .

2. Useful if the line is not graphed: find the difference between the y-coordinate values divided by the difference of the x-coordinate values.

Let's use the points (-1, 4) and (4, -4).
$\frac{-4 - 4}{4 - (-1)} = \frac{-8}{5}$

Therefore, the slope is $-\frac{8}{5}$ .

4 0

3 years ago

Read 2 more answers

A gardener has 920 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it doe

yuradex [85]

Answer:

splitting it evenly among all three sides gives us the greatest area. ( for example if we had to split the number 10 into 2 and find the greatest area, out of all possible ways 5*5 is the greatest). Two sides have to be equal since it's a rectangle.

918/3=306

So we can make the two equal sides 306, and the longer side 308 which makes sure that we have the greatest area.

306 * 308

Step-by-step explanation:

3 0

3 years ago

Help help help help help Select the equivalent expression (3^2x5^3

swat32

Answer:

Step-by-step explanation:

(3^2x5)^3=91125

3^6x5^3=91125

5 0

2 years ago

Read 2 more answers