Drawing a picture would be helpful.
So you have AB and BC, and AC is ALL of AB and BC. In other words,
AC = AB+BC.
Now plug in what the problem gave you.
(16) = (x^2 -10) + (2x + 2)
16 = x^2 + 2x - 8
0 = x^2 + 2x -24
0 = (x+6)(x-4)
x = -6, 4
The ordered pair (2,-1) is a solution the inequality.
Given the inequality is 3x-4y<12.
An inequality is a statement that compares two quantities and claims that one is greater or less than the other (the equation may also be included). These inequalities are linear if the variables are only linear.
By substituting each of the given option in the given inequality we will check which ordered pair satisfy the inequality.
1. (4,0)
Here x=4 and y=0
Substitute this in the inequality 3x-4y<12, we get
3(4)-4(0)<12
12<12
This is not true
2. (0,-3)
Here x=3 and y=-3
Substitute this in the inequality 3x-4y<12, we get
3(0)-4(-3)<12
12<12
This is not true.
3. (2,-1)
Here x=2 and y=-1
Substitute this in the inequality 3x-4y<12, we get
3(2)-4(-1)<12
6+4<12
10<12
This is true.
4. (4,-3)
Here x=4 and y=-3
Substitute this in the inequality 3x-4y<12, we get
3(4)-4(-3)<12
12+12<12
24<12
This is not true.
Hence, the ordered pair that satisfy the given inequality 3x-4y<12 is (2,-1).
Learn more about inequality from here brainly.com/question/21819032.
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Answer:
8
Step-by-step explanation:
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Answer:
A. x + y = 5
Step-by-step explanation:
The slope of the equation is equal for parallel lines,
; Slope = (-1)
;Use the formula
(y - y(coordinate of the given point)) = slope × [(x - x(coordinate of the given point)]
; y - 1 = (-1)(x - 4)
; y - 1 = -x + 4...then move the variable (x) to the left hand side and then move (-1) to the right hand side
; x + y = 4 + 1
; Hence,
; x + y = 5
Answer:
D. 3
Step-by-step explanation:
For g(x) = |x|, we seem to have ...
f(x) = 3|x| = 3g(x) = a·g(x)
The value of 'a' is 3.
