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4 years ago

Triangle ABC has verticles A(0,6), B(-8, -2), and C(8,-2). A dilation with a scale factor of 1/2

Mathematics

1 answer:

FromTheMoon [43]4 years ago

5 0

Multiply x and y by 1/2(0.5)

-8 × 1/2 = -4

-2 × 1/2 = -1

Answer: B'(-4, -1)

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Select all expressions that represent a correct solution to the equation 6(x+4)=20. copied for free from openupresources.Org Sel

baherus [9]

Option D: $20 \div 6-4$ is the correct solution to the equation $6(x+4)=20$

Option E: $\frac{1}{6} (20-24)$ is the correct solution to the equation $6(x+4)=20$

Option F: $(20-24) \div 6$ is the correct solution to the equation $6(x+4)=20$

Explanation:

The expression is $6(x+4)=20$

Let us find the value of x.

$\begin{aligned}6(x+4) &=20 \\6 x+24 &=20 \\6 x &=-4 \\x &=-\frac{2}{3}\end{aligned}$

Now, we shall find the expression that is equivalent to the value $x=-\frac{2}{3}$

Option A: $(20-4) \div 6$

Simplifying the expression, we have,

$\frac{16}{6}=\frac{8}{3}$

Since, $\frac{8}{3}$ is not equivalent to $x=-\frac{2}{3}$ , the expression $(20-4) \div 6$ is not equivalent to the equation $6(x+4)=20$

Hence, Option A is not the correct answer.

Option B: $16(20-4)$

Simplifying the expression, we have,

$16(16)=256$

Since, 256 is not equivalent to $x=-\frac{2}{3}$ , the expression $16(20-4)$ is not equivalent to the equation $6(x+4)=20$

Hence, Option B is not the correct answer.

Option C: $20-6-4$

Simplifying the expression, we have,

$20-10=10$

Since, 10 is not equivalent to $x=-\frac{2}{3}$ , the expression $20-6-4$ is not equivalent to the equation $6(x+4)=20$

Hence, Option C is not the correct answer.

Option D: $20 \div 6-4$

Using PEMDAS and simplifying the expression, we have,

$\begin{aligned}(20 \div 6)-4 &=\frac{10}{3}-4 \\ &=\frac{10-12}{3} \\ &=-\frac{2}{3} \end{aligned}$

Thus, $-\frac{2}{3}$ is equivalent to $x=-\frac{2}{3}$ , the expression $20 \div 6-4$ is equivalent to the equation $6(x+4)=20$

Hence, Option D is the correct answer.

Option E: $\frac{1}{6} (20-24)$

Simplifying the expression, we have,

$\begin{aligned} \frac{1}{6}(20-24) &=\frac{1}{6}(-4) \\ &=-\frac{4}{6} \\ &=-\frac{2}{3} \end{aligned}$

Thus, $-\frac{2}{3}$ is equivalent to $x=-\frac{2}{3}$ , the expression $\frac{1}{6} (20-24)$ is equivalent to the equation $6(x+4)=20$

Hence, Option E is the correct answer.

Option F: $(20-24) \div 6$

Simplifying the expression, we have,

$\begin{aligned}(20-24) \div 6 &=-\frac{4}{6} \\ &=-\frac{2}{3} \end{aligned}$

Thus, $-\frac{2}{3}$ is equivalent to $x=-\frac{2}{3}$ , the expression $(20-24) \div 6$ is equivalent to the equation $6(x+4)=20$

Hence, Option F is the correct answer.

6 0

4 years ago

Which answers are examples of inductive reasoning?

Serggg [28]

<span>Inductive reasoning means an answer/assumption can be made based on what has happened, but the answer/assumption may not really be true or fact. this is inductive reasoning: John will see wild turkeys in his yard next year is a good assumption based on the fact that the past 3 years he's seen turkeys. It could happen, but it also might not happen. this is inductive reasoning: Mrs. Smith expects that all her students will be female since the first 10 that walked in were female, that could happen, but she could also have at least one male student in her class.</span>

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4 years ago

Solve the equation.<br> (x+2) = 3<br> The solution is x=

Elodia [21]

Here,

(x+2)^1/2=3

raising power 2 on both sides,

x+2=9

therefore,

x=7

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3 years ago

How to use >,= or< in math

Bond [772]

< and > is greatest and smallest and = is equal like 34 and 34 are equal and 34 and 35 r big and little
34 < 35.
34=34
86 > 45

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3 years ago

the PTA makes a $5.00 profit on each school sweatshirt sell. If they made a profit of $2,170.00, how many sweatshirts did they s

Helga [31]

It is 434 because 2170 ÷5 equals 434

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3 years ago