Answer:
(3x - 2) (4x + 1)
Step-by-step explanation:
12x² - 5x - 2
Since the first term has a coefficient, you need to multiply -2 with 12 to get -24.
Two factors that add up to -5 and have a product of -24 are -8 and 3.
12x² - 8x + 3x - 2
Rearrange the expression to find the GCF.
12x² + 3x - 8x - 2
3x (4x + 1) + (-1)2(-4x -1)
3x (4x + 1) - 2 (4x + 1)
(3x - 2) (4x + 1)
Answer:
7.5
Step-by-step explanation:
Answer:
98
Step-by-step explanation:
USE PEMDAS
Do multiplication first
10x8=80
Then add
80+ 18= 98
Hope This Helps!!! :D
Perpendicular lines have gradients that multiply to give -1
So, the gradient of the line we need is -1/0.2 = -5
If we have the gradient and a point in the line, we can work out the equation using the formula:
y - y1 = m(x - x1)
where m = gradient, y1 = y-coordinate and x1 = x-coordinate of the same point
So, we substitute in our values, and we get:
y - -8 = -5(x - -7)
y+8 = -5x-35
y = -5x-43
Hope I helped! xx
Answer:
<em>The area of the triangle DEF is 10.</em>
Step-by-step explanation:
<u>Area of a Triangle:</u>
A triangle of base B and height H (both must be perpendicular) has an area of:

The image below shows the triangle formed by the points DEF. It's important to notice the points E and F lie on the same horizontal line because they both have the same y-coordinate.
This fact simplifies the calculations since we can easily compute the length the of base as the difference of their x-coordinates:
B=3-(-2)=3+2=5
Being the base of a horizontal line, the height of the triangle can be calculated as the difference of y-coordinates of D and the height of that line.
H=2-(-2)=4
With these two values, we calculate the area:

The area of the triangle DEF is 10.