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Rus_ich [418]
3 years ago
6

What is the equation of the line

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
5 0

Answer:

c

Step-by-step explanation:

ive helped middle schoolers with this

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You have a wire that is 38 cm long. you wish to cut it into two pieces. one piece will be bent into the shape of a square. the o
erica [24]
Circumference + perimeter =38
x = circumference of circle
find r in terms of x
2\pir=x
r=\frac{x}{2 \pi }
Area=\pir^2
so..
A=\pi(\frac{x}{2 \pi })^2
=\pi(\frac{x^{2} }{4 \pi ^{2} })
=\frac{x^{2} }{4 \pi }

(38-x) is perimeter
then 
\frac{38-x}{4}
(\frac{38-x}{4})^2
\frac{x^{2} }{4 \pi } + (\frac{38-x}{4})^2
then you graph it and it equals
16.716 cm the circumference of the circle
6 0
3 years ago
Find the area of the rectangle as a single expression.
qwelly [4]

Answer:

D) 15x^2 +6x-48

Step-by-step explanation:

Area \:  of  \: rectangle  \\  = length \times width \\  = 3(x + 2) \times (5x - 8) \\  = (3x + 6) \times (5x - 8) \\  = 3x(5x - 8) + 6(5x - 8) \\  = 15 {x}^{2}  - 24x + 30x - 48 \\  = 15 {x}^{2}  + 6x - 48

7 0
4 years ago
Tim and Cynthia leave Cynthia's house at the same time. Tim drives north and Cynthia drives west. Tim's average speed is 10 mph
RSB [31]

Answer:

  54.2 mph

Step-by-step explanation:

Since the drivers leave at the same time and travel in directions 90° from each other, their separation speed can be found using the Pythagorean theorem. Let c represent Cynthia's average speed. Then (c-10) will represent Tim's average speed. Their combined separation speed is 70 miles per hour, so we can write ...

  70² = c² +(c -10)²

  4900 = 2c² -20c +100 . . . . eliminate parentheses

  c² -10c -2400 = 0 . . . . . . . . divide by 2; put in standard form

  (c -5)² -2425 = 0 . . . . . . . . . rearrange to vertex form

  c = 5 ±5√97 . . . . . . . . . . . . solve for c, simplify radical

  c ≈ 54.244 ≈ 54.2 . . . . . . . use the positive solution

Cynthia's average speed was 54.2 miles per hour.

6 0
3 years ago
Juanita has 3 rectangular cards that are 8 inches by 9 inches. How can she arrange the cards, without overlapping, to make one l
ivann1987 [24]

Answer:

Step-by-step explanation:

Given  

  • 3 rectangular cards
  • each card is 8 inches by 9 inches

The way that she can arrange the cards, without overlapping, to make one larger polygon with the smallest possible perimeter is that:

Put 3 cards together according to the length

So  the smallest possible perimeter is:

8 + 8 + 8 + 8 + 8 + 8 + 9 + 9 = 66 inches as you can see in the attached photo.

The area of the polygon is equal to the combined area of the 3 cards without overlapping or extending.

Hope it can find you well.

6 0
4 years ago
TOPIC: Forming and Solving Equations (An equation must be included as well please)
Tatiana [17]
1) let both have x ,
so putting in eqn ;

4x+0.50 = 9x-3
5x=2.50
x=0.50

therefore both have 50 p in the beginning !!

2) let the number be x

so in eqn;

(x+18)/2=5x
x+18=10x
9x=18
x=2

so the number must be 2 !!


if you have still any problem, comment !!
6 0
3 years ago
Read 2 more answers
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