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levacccp [35]
3 years ago
9

The area of a retangular office is 108 square feet. Its width is 9 feet. What is its length & perimeter? Please show all wor

k for the answers, TIA!!
Mathematics
2 answers:
soldi70 [24.7K]3 years ago
7 0
Length =
108 \div 9 = 12 \: ft.
Perimeter =
(9 \times 2) + (12 \times 2) = 42 \: ft.
Length = 12 feet, Perimeter = 42 feet.

Hope this helps.
grandymaker [24]3 years ago
7 0
108 divided by 9 to find the length of the other side (12)
The perimeter is all of the sides added up. (42)
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Which of the following is the slope intercept form of the equation of this line
love history [14]

Answer:

The slope-intercept form of the equation of this line is:

y=-x

Hence, option 'c' is true.

Step-by-step explanation:

From the line equation, let us take two points

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  • (-1, 1)

Finding the slope between two points

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-1,\:1\right)

m=\frac{1-\left(-1\right)}{-1-1}

m=-1

From the line graph, we can determine the y-intercept by setting x=0 and checking the y-value at x=0

at x=0, y=0

Thus, (0, 0) is the y-intercept

We know that the slope-intercept form of the line equation is

y=mx+b

where

  • m=slope
  • b=y-intercept

As we have already determined m=-1 and y-intercept=b=0

so substituting m=-1, b=0 in the slope-intercept form of the line equation

y=mx+b

y=(-1)x+0

y=-x

Thus, the slope-intercept form of the equation of this line is:

y=-x

Hence, option 'c' is true.

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3 years ago
Which of the following could be it's measure ​
WITCHER [35]
90 degrees could be its measure.
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3 years ago
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stiv31 [10]

Answer:

x = - 1 ± 2i

Step-by-step explanation:

we can use the discriminant b² - 4ac to determine the nature of the roots

• If b² - 4ac > , roots are real and distinct

• If b² - 4ac = 0, roots are real and equal

• If b² - ac < 0, roots are not real

for x² + 2x + 5 = 0

with a = 1, b = 2 and c = 5, then

b² - 4ac = 2² - (4 × 1 × 5 ) = 4 - 20 = - 16

since b² - 4ac < 0 there are 2 complex roots

using the quadratic formula to calculate the roots

x = ( - 2 ± \sqrt{-16} ) / 2

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4 years ago
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11111nata11111 [884]

Answer is x = 5

Step-by-step explanation:

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