Answer:
90° CCW
Step-by-step explanation:
The angle from C to the origin to C' is a right angle when measured counterclockwise (in the usual direction).
ΔA'B'C' is a rotation of ΔABC 90° CCW.
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This is fully equivalent to a rotation of 270° CW.
Answer:
1/5
Step-by-step explanation:
5 = 1/5
6= 1/6
1/6= 6/1 (or just 6)
5/6= 6/5
Do you see the pattern?
Every number has a reciprocal except for 0. There is nothing you can multiply by 0 to create a product of 1, so it has no reciprocal.
X intercept is when the function (y) = 0.
0 = 4 - (x+3)^2
(x+3)(x+3) = 4
x^2 + 6x + 9 = 4
x^2 + 6x + 5 = 0
To factor, we find what multiplies to 5 and adds to 6. In this case, it’s 5 and 1.
(x+5)(x+1) = 0
x values of the intercepts are -5 and -1.
The coordinates are (-5,0) and (-1,0).
Answer:
yes
Step-by-step explanation:
A proportional equation is of the form
y = kx where k is the constant of proportionality
y = 150x is proportional
The solution of the equation is x = -4/3.
<h3>What does it mean to solve an equation?</h3>
An equation represents equality of two or more mathematical expression.
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
WE have been given an equation as;
|x - 4| = 5x + 12
In an absolute value equation, we solve the original expression as our first equation. Our second one is that we multiply the right side by -1.
Case 1: original equation
|x - 4| = 5x + 12
x - 4 = 5x + 12
x - 5x = 12 + 4
-4x = 16
x = -4
Case 2: Opposite equation
|x - 4| = 5x + 12
x - 4 = - (5x + 12)
x - 4 = - 5x - 12
x + 5x = -12 + 4
6x = -8
x = -4/3
Now we have two solutions. We need to check for extraneous solutions because of all the manipulations;
Check:
|x - 4| = 5x + 12
use x = -4
|-4 - 4| = 5(-4) + 12
| -8 | = -20 + 12
8 = -8
Thus, it is Not a solution
Now, |x - 4| = 5x + 12
use x = -4/3
| -4/3 - 4| = 5( -4/3) + 12
|-16/3 | = -20/3 + 12
|-16/3 | = 16/3
16/3 = 16/3
Thus, it is the Solution.
Learn more about solving equations here:
brainly.com/question/18015090
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