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polet [3.4K]
3 years ago
8

Under a dilation of a scale factor 4 with the center at the origin, if A (3,5), what will be the coordinates of the point A'

Mathematics
1 answer:
cupoosta [38]3 years ago
7 0
A'=(3\cdot4,5\cdot4)\\
A'=(12,20)
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The length of a rectangle is 3 meter shorter than3 times its width.Find the length and width if the perimeter is 210 meters
Shkiper50 [21]

Answer:

length = 78 m , width = 27 m

Step-by-step explanation:

let w represent width then length l = 3w - 3

the perimeter (P) is calculated as

P = 2l + 2w = 210 , substitute values

2(3w - 3) + 2w = 210 ← distribute parenthesis and simplify left side

6w - 6 + 2w = 210

8w - 6 = 210 ( add 6 to both sides )

8w = 216 ( divide both sides by 8 )

w = 27 and l = 3(27) - 3 = 81 - 3 = 78

Then length = 78 m and width = 27 m

8 0
3 years ago
Solve equations show all steps 1. 2x-10=44+8x 2. 7x-4=20=3x 3. 2(x-3)=-20 4. 15-4x+5=32
Inga [223]

Answer:

2x - 10 = 44 + 8x

7x - 4 = 20 =3x

2(x-3) = -20

15 - 4x + 5 = 32

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    2*x-10-(44+8*x)=0

Pull out like factors :

  -6x - 54  =   -6 • (x + 9)

  -6   =  0

 Solve  :    x+9 = 0

Subtract  9  from both sides of the equation :

                     x = -9

x = -9

Move all terms containing

x

to the left side of the equation.

4

x

−

4

=

20

Move all terms not containing

x

to the right side of the equation.

4

x

=

24

divide each term by 4

x = 6

2(x−3)=−20

Step 1: Simplify both sides of the equation.

2(x−3)=−20

2x−6=−20

Step 2: Add 6 to both sides.

2x−6+6=−20+6

2x=−14

Step 3: Divide both sides by 2.

2x

2

=

−14

2

x=−7

−4x+20=32

Step 2: Subtract 20 from both sides.

−4x+20−20=32−20

−4x=12

Step 3: Divide both sides by -4.

−4x

−4

=

12

−4

x=−3

4 0
3 years ago
the base of a triangle is 5/8. The height is 1/3 feet. how much greater is base of the triangle than the height?
maks197457 [2]
Namely, how many times does 1/3 go into 5/8?  well, is their quotient,

\bf \cfrac{\quad \frac{5}{8}\quad }{\frac{1}{3}}\implies \cfrac{5}{8}\cdot \cfrac{3}{1}\implies \cfrac{15}{8}\implies 1\frac{7}{8}
6 0
3 years ago
Which decimal has the greatest value?
cupoosta [38]

Answer:

Answer: D

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Please help me out!!
d1i1m1o1n [39]
Can do.

Arc length = radius * theta.
S=r*theta

Convert 73° to radians.
(73°)*(pi/180)
73°=1.274rad


S=(6.48in.)(1.274rad) = 8.255 in = final answer
8 0
3 years ago
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