Answer:
-15 and -13
Step-by-step explanation:
Assume that x is an odd integer, if we added one to this integer it would become even and then if we added one again it would become odd again. With this said
x --> first odd integer
x + 2 --> second odd integer
We want these integers to equal -28 so:
x + (x + 2) = -28
2x + 2 = -28
2x = -30
x = -15
Then we plug in x back into (x+2) to get the second integer
-15 + 2 = -13
And to check
-15 + -13 = -28
Answer:
-3
Step-by-step explanation:
The slope of a line is the numerical coefficient in front of the x. The number in front of the x in this case is -3. That's your answer.
Forgot something. The y must be on the other side of the equal sign, and the number in front of it is a 1.
The answers are x=6 or x=-1.
To solve this, we first use the quotient rule for the natural logarithm. It says that ln(x/y) = ln(x) - ln(y). Applying this, we take our original equation,

and rewrite it as

We undo natural log by raising e to both sides:

Once this is canceled we are left with:

If we view this as a proportion, we can cross multiply:
(x-3)(x) = 2(x+3)
Using the distributive property on both sides we have:
x²-3x=2x+6
Cancel the 2x from the right hand side by subtracting:
x²-3x-2x=2x+6-2x
x²-5x=6
Cancel the 6 by subtracting:
x²-5x-6=0
This is easily factorable. We want factors of -6 that sum to -5; -6(1) = -6 and -6+1=-5:
(x-6)(x+1)=0
Using the zero product property, we know either x-6=0 or x+1=0; thus x=6 or x=-1.
A) (x,y)->(4x,4y) because the x and y values are multiplied by 4 when dilated. Ex. U(-1,1) was dilated to U’(-4,4). -1 was multiplied by 4 to get -4 for the x value and 1 was multiplied by 4 to get 4 for the y value.
Answer:
Option C
A = 390 
Step-by-step explanation:
The image shows a figure composed of a rectangle and a triangle.
We know that the area of a rectangle is:
Ar = length * width
Then, using the data shown in the image, we have to:
Ar = 20(15) = 300 
Then, the area of a triangle is:

So:


Finally the area of the figure is:
