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3 years ago

5

Jim wants to build a toy house. He plans for the width to be 2 feet and the length to be 3 feet. Then he decides to add to the l

ength. The amount he wants to add to the length is shown by the variable y .

1 answer:

Cloud [144]3 years ago

4 0

Lets w width, l length, y amount add, A area, P perimeter

A=lw=(3+y)(2)=6+2y ft²

p= 2l+2w= 2(3+y)+2(2)= 6+2y+4 =10+2y

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8 + 8( 8 - n ) = 40 + 8n

Ierofanga [76]

n=2

8+8(8-n)=40+8n (distribute 8 through the parenthesis)

8+64-8n=40-8n (add the numbers)

<em>72-</em>8n=40+8n (move the variable to the left side and change its sign)

<em>72</em><em>-</em>8n+8n=40

-8n+8n=40<em>-72</em> (connect like terms)

-16n = -32 (divide both sides by -16)

<u><em>n=2</em></u>

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1,4,2,3 is the order

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3 years ago

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Draw the graphs of the equations x – y = 1 and 2x + y = 8. Shade the area bounded by these two lines and y-axis. Also, determine

NikAS [45]

Answer:

Using Geometry to answer the question would be the simplest:

Step-by-step explanation:

Remembering the formula for the area of a triangle which is $A=\frac12bh$ . One can then tackle the question by doing the following:

Step 1 Find the y-intercepts

The y-intercepts are found by substituting in $x=0$ .

Which gives you this when you plug it into both equations:

$-y=1\\y=-1\\y=8$

So the y-intercepts for the graphs are $(0,-1)\\$ , and $(0,8)$ respectively.

Now one has to use elimination to solve the problems by adding up the equations we get:

$x-y=1\\2x+y=8\\3x=9\\x=3$

Now to solve for the y component substitute:

$2(3)+y=8\\y=2$

Therefore, the graphs intersect at the following:

$(3,2)$

Now we have our triangle which is accompanied by the graph.

now to solve it we must figure out how long the base is:

$b=8-(-1)\\b=9$

The height must also be accounted for which is the following:

$h=3$

Now the formula can be used:

$A=\frac12bh=\frac12(9)(3)=\frac{27}2\ \text{units}^2$

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2 years ago

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Which of the triangles shown are scalene triangles? (2 points)

kenny6666 [7]

Answer:

Triangle D.

Step-by-step explanation:

A scalene triangle has different sides.

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2 years ago

6. Michael Johnson holds the Olympic record for the men's 400m race at 43 seconds. His

vlada-n [284]

The difference between both unit rates rounded off to the nearest tenth is: 0.4 meters per second

Step-by-step explanation:

We have to calculate his unit rate for both type of races

So,

<u>Unit rate for 400m race:</u>

Distance = 400m

Time = 43 sec

$Unit\ rate = U_1= \frac{Distance}{Time}\\=\frac{400}{43}\\=9.30\ meters\ per\ second$

<u>Unit rate for 300m Race:</u>

Distance = 300m

Time = 31 sec

$Unit\ Rate= U_2=\frac{300}{31}\\=9.68\ meters\ per\ second$

The difference between both unit rates is:

$U_2-U_1 = 9.68-9.30\\=0.38 => 0.4\ meters\ per\ sec$

Hence,

The difference between both unit rates rounded off to the nearest tenth is: 0.4 meters per second

Keywords: Unit rate, Speed

Learn more about unit rate at:

#LearnwithBrainly

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3 years ago