Answer: right side = as x → ∞, y → -∞ & left side = as x → -∞, y → -∞
<u>Step-by-step explanation:</u>
To find end behavior, we need to evaluate 2 things: Sign of the leading coefficient and Degree of the function.
Sign: Determines the end behavior of the right side.
- Positive: right side goes to positive infinity
- Negative: right side goes to negative infinity
Degree: Determines the end behavior of the left side
- Odd: left side is opposite of right side
- Even: left side is same as right side
f(x) = -4x⁶ + x² - 52
1. Sign is negative so right side goes to negative infinity (as x → ∞, y → -∞)
2. Degree is even so left side is the same as right side so it also goes to negative infinity (as x → -∞, y → -∞)
Answer:
-4
Step-by-step explanation:
Two legs of the triangle are congruent as shown by the tick marks. This means that this is an isosceles triangle; in an isosceles triangle, the two base angles are also congruent. Which means <A and <B are congruent.
So to solve for x, set 28 and 10x+68 equal to each other.
28=10x+68
First, subtract 68 from both sides
-40=10x
Then, divide both sides by 10
-4=x
If you want to check your answer plug -4 back into the original equation.
28=10(-4)+68
28=-40+68
28=28, which is true, therefore -4 is correct.
Explanation:
Lines will have same slope if they make the same angle with respect to the vertical or horizontal
__
The similarity statement ∆QRS ~ ∆TUV tells you that ∠R ≅ ∠U.
Angle R is the angle measured clockwise from vertical segment RQ to segment RS. Angle U is the angle measured clockwise from vertical segment UT to segment UV.
Segments RS and UV both make the same angle with a vertical segment, so have the same slope.
Answer:
Step-by-step explanation:
we know that
Triangles MNP and MAB are similar by AAA theorem
If two figures are similar, then the ratio of its corresponding sides is equal
so
substitute the values
