Answer:

Step-by-step explanation:
Answer
x=-5
and
x=1
Explanation
The equation y = 2(x+2)^2 - 18 corresponds to a translation 2 units left and 18 units down, and a and a shrinkage about the x-axis with factor 2.
Making these transformations to y=x^2, we have:




Factoring:


The x-intercept are found when y=0, that is:

and
Answer:
188 legs
Step-by-step explanation:
A game of legs!!
In this question, we are asked to calculate the number of legs of animals present in the question.
Let’s first identify the individual brands of animals present. We have ;
4 dogs, 7 bees, 5 cockroaches, 8 spiders, 3 deers, 4 boars and 2 antlers.
A dog has 4 legs; this means total number of legs contributed by the dogs to the pool will be 4 * 4 = 16 legs
A bee has six legs; total number of bees legs is thus 7 * 6 = 42 legs
A cockroach has 6 legs; total number of cockroaches legs is 6 * 5 = 30 legs
8 spiders have a total of 8 * 8 = 64 legs
3 deers, 4 boars and 2 antlers have 4 legs each making a total of 9 * 4 = 36 legs
The total number of legs present is thus; 36 + 64 + 30 + 42 + 16 = 188 legs
Answer:
c
Step-by-step explanation:
a. 3in, 4in, 5 in
5^2 ? 3^2 + 4^
25 ? 9 + 16
25 = 25
Because the two sides are equal, this is a right triangle.
b. 5in, 6in, 7in
7^2 ? 5^2 + 6^2
49 ? 25 + 36
49 < 61
Because 49 < 61, this is an acute triangle.
c. 8in, 9in, 12in
12^2 ? 8^2 + 9^2
144 ? 64 + 81
144 < 145
Because 144< 145, this is an acute triangle.
65-h
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