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Ulleksa [173]
2 years ago
9

What is the area of the irregular polygon shown below?

Mathematics
1 answer:
TiliK225 [7]2 years ago
7 0

Answer:

86 sq units

Step-by-step explanation:

it is the because:

18*4=72

3.5*4/2=7

7+7+72=86 sq units

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Find equations of the line that is parallel to the z-axis and passes through the midpoint between the two points (0, −4, 9) and
Lorico [155]

Answer: x = -4, y = 0.5, z = 5 +t

Hi!

The line L whose direction is parallel to vector V a passes through point A

is parametrized

P_L = Vt + A

Where t, is a real number, and P_L is a any point on line L.

In this case the direction is that of the z-axis , so V = (0, 0, 1)

A is the midpoint between points B = (0, -4, 9) and C=(-8, 5, 1)

The midpoint is A = (B + C)/2 = (-4, 0.5, 5)

Then the line is:

P_L = (0,0,1) t + (-4, 0.5, 5)

The equations for each coordinate are:

x = -4\\y = 0.5\\z = 5 + t

7 0
3 years ago
2x^4–5x^3+x^2+3x+2=?<br><br> X=5
DanielleElmas [232]

Answer:

2x^4–5x^3+x^2+3x+2=

2 \times 5^4–5 \times 5^3+5^2+3 \times 5+2

= 2 × 625 – 5 × 125 + 25 + 3 × 5 + 2

=1250 – 625 + 25 + 15 +2

= 1292 – 625

= 667

3 0
3 years ago
Consider the polynomial below.
kotykmax [81]

Answer:

(-4x - 2)(-5x) + (-4x - 2)(3)  

Step-by-step explanation:

Your polynomial is

(-4x - 2)(-5x + 3)

The distributive property states that

a(b + c) = ab + ac

Let a = -4x - 2.  Then

(-4x - 2)(-5x + 3) = a(5x + 3) = a(-5x) + a(3)

Substitute the value of a.

a(-5x) + a(3) = (-4x - 2)(-5x) + (-4x - 2)(3)

You have just distributed the first binomial (-4x - 2) among the terms of the second binomial.

3 0
3 years ago
A box of cereal states that there are 75 calories in a 34-cup serving. What is the unit rate for calories per cup? How many calo
xeze [42]
The unit rate is how many calories are in 1 cup of cereal.
Set up a proportion:
\frac{75 cal}{3/4 cup} = \frac{X cal}{1 cup}
Cross multiply and solve:
\frac{3}{4} X = 75\\ 3X=300\\X=100
There are 100 calories per cup of cereal.

To get the calories in 4 cups of cereal, simply multiply the unit rate of 100cals/cup by 4.
100*4=400
There are 400 calories in 4 cups of cereal.
8 0
3 years ago
Read 2 more answers
The length of a rectangle is 10 feet longer than it is wide. If each side is increased 10 feet, then the area is multiplied by 2
harina [27]

Answer:

The with and length of the original rectangle are:

width: 20 ft

Length: 30 ft

Step-by-step explanation:

Lets check

Yes, 30 is 10 longer then 20,

the area of the original is 600

if it was 40 and 30 then it would equal 1200

6 0
3 years ago
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