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3 years ago

Solve 2y = 6x + 10 y = 2x + 4

Mathematics

1 answer:

mihalych1998 [28]3 years ago

7 0

Answer:

x =-1

Step-by-step explanation:

$\left \{ {{2y = 6x +10} \atop {y = 2x +4}} \right.$

replace y by 2x +4 in the first equation

2(2x + 4) = 6x + 10

4x + 8 = 6x + 10

-2x +8 = 10

-2x = 2

x = -1

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Given the preimage and image,find the dilation scale factor.

Oliga [24]

Answer:

The dilation scale factor is $\frac{1}{2}$ .

Step-by-step explanation:

The image is the dilated form of its preimage if and only if the following conditions are observed:

1) $K' = \alpha_{1} \cdot K$

2) $T' = \alpha_{2} \cdot T$

3) $P' = \alpha_{3} \cdot P$

4) $J' = \alpha_{4} \cdot J$

5) $\alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}$

If we know that $K = (2, 0)$ , $K' = (1, 0)$ , $T = (3, 0)$ , $T' = (1.5,0)$ , $P = (1, 5)$ , $P' = (0.5, 2.5)$ , $J = (0, 3)$ and $J' = (0, 1.5)$ , then the coefficients are, respectively:

$\alpha_{1} = \frac{1}{2}$ , $\alpha_{2} = \frac{1}{2}$ , $\alpha_{3} = \frac{1}{2}$ , $\alpha_{4} = \frac{1}{2}$

As $\alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}$ , we conclude that the dilation scale factor applied in the preimage is equal to $\frac{1}{2}$ .

7 0

2 years ago

Simplify 6a+8b-a-3b plz

frozen [14]

5a+5b because 6a-a=5a and 8b-3b=5b. 5a+5b.

5 0

3 years ago

Read 2 more answers

Solve for side length, a. Round to one decimal place."

barxatty [35]

Answer b

Reason:looked it up ;)

3 0

2 years ago

A number increased by three is the same as quadrupling that number increased by five all divided by four. What is le number?

IrinaVladis [17]

Answer:

The number is infinity

Step-by-step explanation:

Let the unknown number be x

if the number increased by three, then we have;

x + 3

Also quadrupling that number increased by five all divided by four is expressed as;

(4x+5)/4

Equating bith expressions and calculating x;

x+3 = (4x+5)/4

cross multiply;

4(x+3) = 4x + 5

4x+12 = 4x + 5

4x-4x = 5 - 12

0x = -7

x = -7/0

x = ∞

Hence the number is infinity

5 0

2 years ago

Please i need help asap!

ANEK [815]

Answer:

Step-by-step explanation:

3 0

2 years ago