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VashaNatasha [74]
2 years ago
8

6. Two more than 16 times a number is the same as 2 less than the product of -7 and the number.

Mathematics
1 answer:
ryzh [129]2 years ago
8 0

Answer:

2+16*x=-7*x-2

Step-by-step explanation:

1. The phrase "two more" means add two to whatever comes next.

2. "16 times a number" means 16 is multiplied by an unknown number represented by a variable.

3. "two less than" means subtract two from the number(s) that come next.

4. "product of -7 and the number" means multiply -7 times the same variable previously used.

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3 years ago
Draw the image of ∆ABC under the dilation with scale factor 3 and center of dilation (-5, -4).
natima [27]

The image of Triangle ABC have coordinates as

A'(-2,5)

B'(-2,-1)

C'(7,-1)

Step-by-step explanation:

The figure show that Points A(-4,-1),B(-4,-3) and C(-1,-3) forms the Triangle ABC

It is asked to scaled the triangle with scale factor of 3 and centered at P(-5,-4)

For point A(-4,-1) :

Distance of A(-4,-1) from center P(-5,-4) in x-direction is 1 units and y-direction is 3 units

After scale by factor of 3,

Distance of A(-4,-1) from center P(-5,-4) is also multiply by 3

New distance in x-direction is 3 units and 9 units in y-direction from center P(-5,-4)

Therefore, New location A' is ((-5)+3,(-4)+9)=(-2,5)

For point B(-4,-3)

Distance of B(-4,-3) from center P(-5,-4) in x-direction is 1 units and y-direction is 1 units

After scale by factor of 3,

Distance of B(-4,-3) from center P(-5,-4) is also multiply by 3

New distance in x-direction is 3 units and 3 units in y-direction from center P(-5,-4)

Therefore, New location B' is ((-5)+3,(-4)+3)=(-2,-1)

For point C(-1,-3)

Distance of C(-1,-3) from center P(-5,-4) in x-direction is 4 units and y-direction is 1 units

After scale by factor of 1,

Distance of C(-1,-3) from center P(-5,-4) is also multiply by 3

New distance in x-direction is 12 units and 3 units in y-direction from center P(-5,-4)

Therefore, New location C' is ((-5)+12,(-4)+3)=(7,-1)

Therefore, The image of Triangle ABC have coordinates as

A'(-2,5)

B'(-2,-1)

C'(7,-1)

5 0
3 years ago
PLEASE HELPPPPP WILL GIVE BRAINLIEST
FinnZ [79.3K]

Answer:

the value of the variable x is 16

Step-by-step explanation:

given \: expression \\  \frac{5}{8}x =  \frac{1}{2} x + 2 \\ substract \: \frac{1}{2} x from \: both \: sides \\ \frac{5}{8}x  - \frac{1}{2} x = \frac{1}{2} x  - \frac{1}{2} x  + 2 - \frac{1}{2} x  \\ factor \: out \: common \: x \\ x( \frac{5}{8}  -  \frac{1}{2} ) =  \frac{1}{8}  \\ simplify \\ \frac{1}{2} x  + 2 - \frac{1}{2} x \:  \frac{1}{2} x -  \frac{1}{2} x = 0 = 2 \\  \frac{1}{8} x = 2 \\ multiply \: both \: sides \: by \: 8 \\ 8. \frac{1}{8} x = 2.8 \\ simplify \\ x = 16.

6 0
1 year ago
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