Please Answer Question 1 & 2! Please need help ASAP

Mathematics

1 answer:

Nookie1986 [14]3 years ago

5 0

5= g-5
number 2. 43
hope this helps you

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A rectangular athletic field is twice as long as it is wide. if the perimeter of the athletic field is 192 yards, what are its

qaws [65]

P = 2(L + W)
P = 192
L = 2W

192 = 2(2W + W)
192 = 2(3W)
192 = 6W
192/6 = W
32 = W <=== the width is 32 yards

L = 2W
L = 2(32)
L = 64 <=== the length is 64 yards

5 0

3 years ago

A diving board is 10 feet above the surface of the water. At time t = 0, the board propels Chris upward at a rate of 12 feet per

Art [367]

Answer:

Chris will take 0.75 seconds to return to his starting height of 10 feet.

Step-by-step explanation:

Let the height of Chris be represented by $h(t) = -16\cdot t^{2}+12\cdot t +10$ , where $h(t)$ is the height in feet and $t$ , the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:

$-16\cdot t^{2}+12\cdot t +10 = 10$

$-16\cdot t^{2}+12\cdot t = 0$

Then, we simplify the expression by algebraic means:

$-16\cdot t\cdot \left(t-\frac{3}{4} \right) = 0$

Roots of the polynomial are, respectively:

$t = 0\,s\,\lor \,t = 0.75\,s$

First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.

5 0

3 years ago

Apply the distributive property to create an equivalent expression. (6m -7)\cdot 4 =(6m−7)⋅4=left parenthesis, 6, m, minus, 7, r

FrozenT [24]

Answer:

$(6m-7)\cdot4$ is equivalent to 24m-28

Step-by-step explanation:

The distributive property enables us get rid of parentheses by multiplying the term outside by each of the term inside; a bit like algebraic expansion

It states that:

$(a+b)\cdot c = a\cdot c+ b\cdot c$