Answer:
15
Step-by-step explanation:
This is a Pythagorean theorem problem. You must do a^2+b^2=c^2
9^2+12^2=225
then, we must find the square root of 225 which is 15.
hope this helps -Cam <3
The answer is sequence I (choice A)
The common ratio is r = 1 because we multiply each term by 1 to get the next term. No change happens when we multiply any number by 1. Another way to find the common ratio is to pick any term and divide it by its previous term.
----------------------------------
Choice B is not the answer because (1/5) divided by (1/4) = 0.2/0.25 = 0.8
and because (1/6) divided by (1/5) = 0.833 approximately. We don't get the same value each time. So the common ratio doesn't stay the same.
Choice C is not the answer either since most of the terms are positive but the -4 in slot 3 is not positive. If it was positive, then the common ratio would be 4 and this sequence would be geometric. If the terms alternated between positive and negative, then it would work as well (r would be r = -4)
Choice D has alternating terms of positive and negative, but there's no change in absolute value. There is no growth or decay as this the terms effectively stay the same. So there is no common ratio. This is why we can rule out choice D.
The surface area of the square bottom = L x W = 7 x 7 = 49 cm^2
The area for one of the triangles = 1/2 x base x height = 1/2 x 7 x 9 = 31.5 cm^2
There are 4 triangles, the total area for the triangles = 31.5 x 4 = 126 cm^2
Total area = base + triangles = 49 + 126 = 175 cm^2
The first pair of statements is the best option. h(0) based on the given equation would be the square root of -3, which is an imaginary number. Also, w(0) should be 0, since if nobody is working on making wrenches, none can be made. This is despite the graph having a value at x = 0.
The second statement in the second pair is false, since 0 is not an imaginary number.
Answer: x=3/4 x=-4
Step-by-step explanation:
(4x-3)(x+4)=0
4x-3=0
4x-3+3=0+3
4x=3
Divide both parts of the equation by 4:
x+4=0
x+4-4=0-4
x=-4
