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2 years ago

The Haynes family is building an addition to their house that includes a new

Mathematics

1 answer:

elixir [45]2 years ago

6 0

Answer:

Part A

$A_{t}=22(12+w)$

Applying Distributive property: $A_{t}=264+22w$

Part B

$A_{t}=660\ ft^2$

Step-by-step explanation:

 Attached is the model that belongs to this exercise (The model was missing)

The formula for calculate the area of a rectangle is:

$A=lw$

Where "l" is the lenght and "w" is the width.

Part A

Notice that the dimensions of the new bathroom are:

$l=22\ ft\\w=12\ ft$

We do not know the width of the new bathroom, but we know that both rooms will have the same length. Knowing this, we can write an expression for the total area of both rooms by using the Distributive Property:

$A_{t}=22(12+w)$

Applying Distributive property:

$A_{t}=264+22w$

Part B

If the width of the bedroom is 18 feet, you need to substitute this value into the expression $A_{t}=264+22w$ in order to find the total square footage of the two rooms:

$A_{t}=264+22w\\\\A_{t}=660\ ft^2$

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M is the midpoint of CD. Given the coordinates of one endpoint C(10,-5) and the midpoint M(4, 0), find the coordinates of the ot

mash [69]

Answer:

D(-2, 5).

Step-by-step explanation:

We are given that M is the midpoint of CD and that C = (10, -5) and M = (4, 0).

And we want to determine the coordinates of D.

Recall that the midpoint is given by:

$\displaystyle M = \left(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2}\right)$

Let C(10, -5) be (x₁, y₁) and Point D be (x₂, y₂). The midpoint M is (4, 0). Hence:

$\displaystyle (4, 0) = \left(\frac{10+x_2}{2} , \frac{-5+y_2}{2}\right)$

This yields two equations:

$\displaystyle \frac{x_2 + 10}{2} = 4\text{ and } \frac{y_2 - 5}{2} = 0$

Solve for each:

$\displaystyle \begin{aligned}x_2 + 10 &= 8 \\ x_2 &= -2 \end{aligned}$

And:

$\displaystyle \begin{aligned} y_2 -5 &= 0 \\ y_2 &= 5\end{aligned}$

In conclusion, Point D = (-2, 5).

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2 years ago

Which table represents a direct variation? Table A x 4 6 8 10 y 7 9 11 13 Table B x 4 6 8 10 y 12 18 24 30 Table C x 4 6 8 10 y

Alja [10]

Answer:

Table B

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3 years ago

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What is the answer to M+9=2

Ierofanga [76]

Answer:

M= -7

Step-by-step explanation:

M+9=2

M =2-9

M=-7

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3 years ago

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A snack tray at a party has cheese squares with 2 grams of protein apiece and turkey slices with 3 grams of protein apiece. Whic

Andreyy89

Answer:

The inequality equation is 12 ≤ 2x + 3y

Step-by-step explanation:

Protein in a cheese square = 2 grams

Protein in a turkey square = 3 grams

And She can eat 12 or more grams of proteins

Let x be the number of cheese squares and y be the number of turkey squares that she eats.

So, we can write an inequality equation, that describes the given situation in the problem.

i.e. 2x + 3y ≥ 12 or 12 ≤ 2x + 3y

So the inequality equation is 12 ≤ 2x + 3y

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3 years ago

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Anastasy [175]

<h2>Answer:</h2>

$y=\frac{1}{3}x+4$

<h2>Explanation:</h2>

Slope-intercept form:

What the variables mean:

Y=the y axis

m=the slope

x=the x-axis

b=the y intercept (the point on the line that crosses the y-axis)

To Calculate the Slope:

1. Find any 2 points on the line

2. The number of units the second point is above the first is the numerator

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(Please see the picture attached)

$y=\frac{1}{3}x+b$

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1. Find the point on the line that crosses the y-axis

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$y=\frac{1}{3}x+4$

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3 years ago