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Bess [88]
3 years ago
7

How many square feet are in a room 4'-6'×3'-6"

Mathematics
1 answer:
Reil [10]3 years ago
8 0

Answer:

  15.75 ft²

Step-by-step explanation:

6" is 0.5 ft, so the dimensions in feet are 4.5 ft by 3.5 ft. The area is the product of these dimensions:

   A = (4.5 ft)(3.5 ft) = 15.75 ft²

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Two piecewise functions are shown below. What is the value of
gizmo_the_mogwai [7]

Step-by-step explanation:

I am not sure what your problem here is.

you understand the inequality signs ?

anyway, to get

6×f(-2) + 3×g(1)

we can calculate every part of the expression separately, and then combine all the results into one final result.

f(-2)

we look at the definition.

into what category is -2 falling ? the one with x<-2, or the one with x>=-2 ?

is -2 < -2 ? no.

is -2 >= -2 ? yes, because -2 = -2. therefore, it is also >= -2.

so, we have to use

1/3 x³

for x = -2 that is

1/3 × (-2)³ = 1/3 × -8 = -8/3

g(1)

again, we look at the definition.

into what category is 1 falling ? the one with x > 2 ? or the one with x <= 1 ?

is 1 > 2 ? no.

is 1 <= 1 ? yes, because 1=1. therefore it is also <= 1.

so we have to use

2×|x - 1| + 3

for x = 1 we get

2×0 + 3 = 3

6×f(-2) = 6 × -8/3 = 2× -8 = -16

3×g(1) = 3× 3 = 9

and so in total we get

6×f(-2) + 3×g(1) = -16 + 9 = -7

3 0
2 years ago
Which of the following are factors of x^2+5x+4
soldier1979 [14.2K]

Answer:

(x + 4) and (x + 1)

Step-by-step explanation:

x² + 5x + 4

Consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (+ 5)

The factors are 4 and 1 , since

4 × 1 = 4 and 4 + 1 = 5 , then

x² + 5x + 4 = (x + 4)(x + 1) ← in factored form

3 0
2 years ago
Given the rectangle ABCD, AB has a slope of 2/3, what is the slope of BC?
erastova [34]

Answer:

slope = - \frac{3}{2}

Step-by-step explanation:

note that BC is perpendicular to AB, hence the slope of BC is the negative reciprocal of the slope of AB

m_{BC} = - \frac{1}{2/3} = - \frac{3}{2}


7 0
3 years ago
<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B5x%2B3" id="TexFormula1" title="x^{2} +5x+3" alt="x^{2} +5x+3" align="absmidd
il63 [147K]
<h3>x²+5x+3+2x²+10x15 =0</h3><h3>x²+2x²+5x+10x+3+15=0</h3><h3>3x²+15x+18=0</h3><h3>3(x²+5x+6) =0 because 3 is common factor</h3><h3>3(x²+3x+2x+6) spill the middle term</h3><h3>3(x(x+3)+2(x+3) take the common factor from term</h3><h3>3(x+2) (x+3)</h3>

<h3>answer is 3(x+2) (x+3)</h3>

please mark this answer as brainlist

3 0
3 years ago
If all the sides of a triangle get 2 times as big, how much does the area change?
KIM [24]

Answer:

Step-by-step explanation:

area becomes 2²=4  times.

4 0
3 years ago
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