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iVinArrow [24]
2 years ago
15

The expression below represents the perimeter, in feet, of Manual’s garden.

Mathematics
1 answer:
agasfer [191]2 years ago
6 0

a) Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7

b) The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as 98 square feet

<h3>What is the perimeter?</h3>

The perimeter is defined as the sum of all the sides of the figure. Now we have The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.

The correct area =15(2x + 7).

= 30x + 105 square feet

The error in Shawn’s expression is

= 15(2x + 7)

= 30x + 7 square feet

Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7

The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as

30x + 105 square feet - 30x + 7 square feet

= 30x + 105 - (30x + 7)

= 30x - 30x + 105 - 7

= 98 square feet

To know more about perimeter follow

brainly.com/question/19819849

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Answer:

False

Step-by-step explanation:

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5 0
3 years ago
Use the slopes of lines A and B to show that they are perpendicular to the given line.
Shkiper50 [21]

Answer:

Line A m = 2

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Lines that are negative reciprocals are perpendicular

Step-by-step explanation:

1. Choose two points from each line.

2. Calculate the slope of each line using formula m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

3. Check for negative reciprocals

Line A:

Point 1 (1, 1)       x₁ = 1    y₁ = 1

Point 2 (2, 3)     x₂ = 2   y₂ = 3

Substitute the information into the formula

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

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

m = \frac{2}{1}

m = 2

Line B:

Point 1 (0, 4)       x₁ = 0    y₁ = 4

Point 2 (8, 0)     x₂ = 8   y₂ = 0

Substitute the information into the formula

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m = \frac{0-4}{8-0}

m = \frac{-4}{8}

m = \frac{-1}{2}

The slopes are 2 and -1/2. Since they are negative reciprocals to each other, Line A is perpendicular to Line B.

The negative reciprocal of a number is switching its top and bottom fraction, then changing the negative/positive.

2 in fraction form is \frac{2}{1}.

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7 0
3 years ago
Lucia is making invisibility potions. Each potion requires 22 eyes of newt. How many invisibility potion Lucia is making invisib
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Step-by-step explanation:

8 0
3 years ago
Please help, this chapter was on derivatives...
Usimov [2.4K]
<h3>Answer:  ds/dt = 11</h3>

================================================

Work Shown:

Before we can use derivatives, we need to find the value of s when (x,y) = (15,20)

s^2 = x^2+y^2

s^2 = 15^2+20^2

s^2 = 225+400

s^2 = 625

s = sqrt(625)

s = 25

-----------

Now we can apply the derivative to both sides to get the following.  Don't forget to use the chain rule.

s^2 = x^2 + y^2

d/dt[s^2] = d/dt[x^2 + y^2]

d/dt[s^2] = d/dt[x^2] + d/dt[y^2]

2s*ds/dt = 2x*dx/dt + 2y*dy/dt

2(25)*ds/dt = 2(15)*5 + 2(20)*(10)

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50*ds/dt = 550

ds/dt = 550/50

ds/dt = 11

-----------

Side note: The information t = 40 is never used. It's just extra info.

8 0
3 years ago
20 points!! Pls help there will also be a part two
statuscvo [17]

the height of the poster must be multiplied by the ratio which is 1 to 2.5 which is 40 cm.

8 0
3 years ago
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