You already have the equation! If you want it in vertex form, do this:
y = x^2 + 8x + 16 - 16 - 51, or y = x^2 + 8x + 16 -67, or
y = (x+4)^2 - 67.
The vertex is at (-4,67).
Answer:
(a) $7492
(b) $10,253
(c) $14,032
Step-by-step explanation:
As we know, the final Amount can be calculated with the formula for compound interest,
A = P(1 + \frac{r}{n} )^{nt}
where,
A = Final Amount due
P = Initial principal amount borrowed
r = rate of interest in decimal
n = number of times applied per time period
t = total time period
Now, according to the given data,
(a) in 4 years ;-
⇒ 
⇒ 
(b) in 6 years ;-
⇒ 
⇒ 
(c) in 8 years ;-
⇒ 
⇒ 
Answer:
Adjacent = 9.75 inches.
Step-by-step explanation:
Given the following data;
Hypothenus = 12 inches
Opposite = 7 inches
To find the other leg i.e adjacent, we would use Pythagorean' theorem given by the formula;
Hypothenus² = opposite² + adjacent²
Substituting into the formula, we have;
12² = 7² + adjacent²
144 = 49 + adjacent²
Adjacent² = 144 - 49
Adjacent² = 95
Taking the square root of both sides, we have;
Adjacent = 9.75 inches.
Therefore, the other leg is 9.75 inches.
Answer:
1. Transversal y intersects lines m and n; <1 ~= <2 (Given)
2. <1 ~= <3 (Vertical Angles Theorem)
3. <2 ~= <3 (Transitive Property of Congruence)
4. m || n (Converse of Alternate Interior Angles Theorem)
Answer:
93 and 94
Step-by-step explanation:
