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kykrilka [37]
3 years ago
11

What is 2(2x-1) = 3(x-1)

Mathematics
1 answer:
Klio2033 [76]3 years ago
7 0

Answer:

x = -1

Step-by-step explanation:

2(2x-1)=3(x-1)     Given

4x-2=3x-3          Distribute numbers outside of the ( )

x-2=-3               Subtract 3x from both sides

x=-1                    Add 2 to both sides

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Can someone please help me ​
Anettt [7]

Answer:

y = -6x + 9/4

Step-by-step explanation:

y = mx + b

m= -6

b 9/4

7 0
3 years ago
Suppose that rectangle ABCD is dilated to A'B'C'D' by a scale factor of 0.5 with a center of dilation at (4, 6). What is the dis
Rasek [7]

To solve this problem you must apply the proccedure shown below:

1. You must multiply the coordinates of BC by the scale factor given in the problem above. Therefore, you have that the coordinates of B'C'are:

B'(1,5)\\ C'(3,5)

2. The midpoint of B'C' has the folllowing coordinates:

m(\frac{x1+x2}{2} , \frac{y1+y2}{2} )\\ m(\frac{1+3}{2}, \frac{5+5}{2})\\ m(2,5)

3. The center of dilation is a fixed point, with coordinates (4,6). Therefore, the distance from the center of dilation to the midpoint of B'C' is:

distance=x2-x1\\distance=4 units-2units\\distance=2 units

The answer is the option C: 2 units

5 0
3 years ago
Read 2 more answers
A piece of carpet is 8 feet wide and 12 feet long. The carpet needs to be reduced by a scale factor so that the reduced carpet i
Genrish500 [490]
8 ft wide, 12 ft long......so if u want it 2 ft wide, u have a scale factor of 1/4.
that means ur length will be 12 * 1/4 = 12/4 = 3 ft long

A = L * W
A = 3 * 2
A = 6 square ft <==
7 0
3 years ago
Read 2 more answers
Does anyone understand and can help me asap?
nydimaria [60]

Answer:

see below

Step-by-step explanation:

Circumference of circle = 2πr =dπ

Area of circle =πr²

1) Circle1 d =4 in, r =2 in

Circumference of circle1 =4π in

Area of circle1 = 2²π =4π in²

2) Circle2: d =3 in, r =1.5 in

Circumference of circle2 =3π in

Area of circle2 = 1.5²π =2.25π in²

3)  Circle3:  r =1 in, d =2 in

Circumference of circle3 =2π in

Area of circle3 = 1²π =π in²

4) Circle4:  r =2 1/2 in = 2.5 in, d =5 in

Circumference of circle4 =5π in

Area of circle4 = 2.5²π = 6.25π in²

5) 2/3 of the Area of circle1 = (2/3)*4π in²= (8/3)π in²

6) 1/2  of the Area of circle2 = (1/2)*2.25π in² = (1/2)*(9/4)π in² = (9/8)π in²

7) 1/4  of the Area of circle3 = (1/4)π in²

8) 1/3  of the Area of circle4 = (1/3)* 6.25π in² =(1/3)*(25/4)π in² = (25/12)π in²

6 0
3 years ago
The line passing through (4, a) and (8, 1) has gradient 0.75.<br> Work out the value of a.
olga55 [171]

Answer:

a = - 2

Step-by-step explanation:

calculate the slope of the 2 given points and equate to 0.75

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (4, a ) and (x₂, y₂ ) = (8, 1 )

m = \frac{1-a}{8-4} = \frac{1-a}{4}

then equating

\frac{1-a}{4} = 0.75 ( multiply both sides by 4 to clear the fraction )

1 - a = 3 ( subtract 1 from both sides )

- a = 2 ( multiply both sides by - 1 )

a = - 2

3 0
2 years ago
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