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ahrayia [7]
3 years ago
7

A rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation (x + 5)x = 104

represents the situation, where x represents the width of the rectangle.
The first step in solving by factoring is to write the equation in standard form, setting one side equal to zero. What is the equation for the situation, written in standard form?

x2 – 99 = 0
x2 – 99x = 0
x2 + 5x + 104 = 0
x2 + 5x – 104 = 0
Mathematics
2 answers:
____ [38]3 years ago
7 0

Answer:

x^2 + 5x - 104 = 0

Step-by-step explanation:

          (x + 5)x = 104         Original equation

        x^2 + 5x = 104         Distributive property

x^2 + 5x - 104 = 0             Subtract, make the right side equal to 0

choli [55]3 years ago
4 0

Answer:

D

Step-by-step explanation:

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348 square feet.

Step-by-step explanation:

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The answer is 348 square feet.

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3 years ago
A number has the digits 1, 9 and 5 to the nearest 100 the number rounds to 600. What is the number?
mars1129 [50]

Answer:

<u><em>591</em></u>

Step-by-step explanation:

the closest number to 600 out of every combo

195

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4 0
3 years ago
Read 2 more answers
EXPLAIN THE ERROR Cody was given two points (1/2,4) and (2/3,1), on a line and asked to create a linear equation in standard for
inessss [21]

Answer:

Cody made a mistake when calculating the slope of the line and this affected every other steps after than.

She divided -3 by 6 instead of -3 by 1/6

Step-by-step explanation:

Given

(x_1,y_1) = (\frac{1}{2},4)

(x_2,y_2) = (\frac{2}{3},1)

<em>See attached for steps</em>

Required

Explain Cody's error

<em>Cody made a mistake when calculating the slope of the line and this affected every other steps after than.</em>

See Proof

Slope (m) is calculated as thus:

m =\frac{y_2 - y_1}{x_2 - x_1}

m =\frac{1 - 4}{\frac{2}{3} - \frac{1}{2}}

m =-\frac{ 3}{\frac{1}{6}}

m = -3/\frac{1}{6}

m = -3 * 6

m = -18

This is in contrast to m = -\frac{1}{2}, calculated by Cody

Solving further to determine the equation.

y - y_1 = m(x - x_1)

Where

(x_1,y_1) = (\frac{1}{2},4)

m = -18

y - 4 = -18(x - \frac{1}{2})

y - 4 = -18x + 9

Collect Like Terms

y + 18x = 9 + 4

y + 18x = 13

6 0
3 years ago
Simplify: 9 x 5 ( 2 x 4 )
amid [387]
Is it 360 or 53 I think it’s 360
5 0
3 years ago
Read 2 more answers
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