The solid line indicates that the line itself is included in the solutions. That the shaded area is to the left, or under, the line means that y≤the line.
To find the equation of the line you first find the slope or m using any two points.
m=(y2-y1)/(x2-x1) in this case you are given (2,-5) and (-2, 3) so
m=(3--5)/(-2-2)
m=8/-4
m=-2
So far for y≤mx+b we have:
y=-2x+b using either point we can solve for b, I'll use (2,-5)
-5=-2(2)+b
-5=-4+b
-1=b
So the line is:
y=-2x-1 and since y≤ the line:
y≤-2x-1
Step-by-step explanation:
if the 2 matrices are inverse, then their product must be the identity matrix
1 0
0 1
so,
m×3 + 2×-7 = 1
7×3 + 3×-7 = 0
m×-2 + 2×m = 0
7×-2 + 3×m = 1
that means we have to solve only
3m - 14 = 1
3m = 15
m = 5
The answer is Option D. (4,2)
in this type of question , you just need to input the (x,y) , and see if the amount is correct
y - 0.75 = 1.25 (x-3)
2 - 0.75 = 1.25 ( 4 - 3)
1.25 = 1.25 (1)
1.25 = 1.25
hope this helps
24, 32 , 40. Divide through by 8
3, 4, 5,
The 3 , 4, 5 reminds of the Pythagorean triple, which is a right angled triangle.
So a triangle with sides 24, 32, 40 is a right angled triangle.
Option A.
Answer:
4 * 14
Step-by-step explanation:
Given
32 + 24
Required
Write as a product of two factors
First, we need to get the GCF of 32 and 24
The factors of 32 and 24 are:
The GCF (greatest common factor) is 8
So, the expression 32 + 24 can be rewritten as:
Add 8 + 6
Hence,
32 + 24 can be rewritten as 4 * 14
