The slope-intercept form<span> is y=mx+b y = m x + b , where m m is the </span>slope<span> and b b is the y-</span>intercept<span>. Since 3x 3 x does not contain the variable to solve for, move it to the right side of the equation by subtracting 3x 3 x from both sides. Divide each term by −2 - 2 and simplify.
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Question 1:
For this case we must factor the following expression:
We must find two numbers that when multiplied result in -24 and when added together result in 2. These numbers are: 6 and -4.
Thus, we factor:
The roots are:
Answer:
Option C
Question 2:
For this case we have that by definition, the area of a rectangle is given by:
Where:
w: Is the width of the rectangle
l: is the length of the rectangle
According to the statement we have:
Substituting:
Where:
The solution:
We have two roots:
We choose the second value (the positive), when rounding is
Answer:
Option A
Answer:
y=5/2x-16
Step-by-step explanation:
First, we want to find the slope of the original line.
m= -4+8/-1-9
m= 4/-10
m= -2/5
Because we want the perpendicular bisector, we will need the slope to be the opposite reciprocal. Therefore, our slope is
m=5/2
Now, we want to find the midpoint of the line.
9-1/2
8/2=4
-8-4/2
-12/2= -6
So, the midpoint is (4,-6)
Using the information we have, we now can find b.
-6=5/2(4)+b
-6=10+b
-16=b
That gives us our equation
y=5/2x-16
8s-8 is answer
Just distribute
Answer:
4 cm, 7 cm, 11 cm
Step-by-step explanation:
The sum of two shorter sides of a triangle is always greater than the larger side.
1 cm + 5 cm < 7 cm ( can't be the third side )
5 cm + 4 cm > 7 cm ( can be )
5 cm + 7 cm > 7 cm ( can be )
5 cm + 7 cm > 11 cm ( can be )
5 cm + 7 cm < 13 cm ( can't be )
5 cm + 7 cm < 15 cm ( can't be )