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3 years ago

Which of the following is the equation for the line of symmetry in this figure?

Mathematics

1 answer:

pochemuha3 years ago

5 0

Answer:

y = -2

Step-by-step explanation:

This one is easy. As you may know, a axis of symmetry is the line where everything is the same on both sides of it. For this, you can use trial and error or just look at the points on either side. For y = -1, that will put the line in an awkward spot, crossing through 2 slanted lines instead of corners. For x = -1, this just cuts through the shape straight up and down and does not make the shape look equal on both sides of the line at all. Same goes for x = -2. I should probably mention, when you see a line that is described as "x = 1", it is a vertical line, because the line is constantly staying on the point x = 1, while having an infinite number of y-values. When you see "y = 1", it will be horizontal for the same reason, just flipped.

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given the function f(x) = 2^x, find the value of f−1(32). (1 point) f−1(32) = 0 f−1(32) = 1 f−1(32) = 5 f−1(32) = 16

EastWind [94]

Answer:

Step-by-step explanation:

The inverse of $f(x)=2^x$ is $g(x)=\log_2(x)$ .

$g(32)=\log_2(32)$

$\log_2(32)=5$ since $2^5=32$ .

$g(32)=\log_2(32)=5$

Note: In general, the inverse of $f(x)=a^x$ is $g(x)=\log_a(x)$ .

7 0

4 years ago

Solve equation. Show steps 8+x=4x+2

statuscvo [17]

Answer:

x=2

Step-by-step explanation:

8 + x = 4x +2

Subtract 4x from both sides:

8 + x - 4x = 4x + 2 - 4x

Group like terms:

x - 4x + 8 = 4x + 2 -4x

Simplify the arithmetic:

-3x + 8 = 4x + 2 -4x

Group like terms:

-3 + 8 = 4x - 4x + 2

Simplify the arithmetic:

-3x + 8 = 2

8 0

3 years ago

Hilda was simplifying some numerical expressions and made each of the following sequences of calculations. Name the mathematical

Galina-37 [17]

Answer:

Problem 1:

5 · (−4/3) · (2/5)

= (−4/3) · 5 · (2/5) Conmutative Property of Multiplication

= (−4/3) · (5 · (2/5)) Associative Property of Multiplication

= (−4/3) · (2/1) = −8/3 = −2*2/3 Multiplied fractions and extracted common factor

Problem 2:

17 + 29 + 3+ 1

= 17 + 3 + 29 + 1 Conmutative Property of Addition

= (17 + 3) + (29 + 1) Associative Property of Addition

= 20 + 30 Added groups

= 50 Added terms

Step-by-step explanation:

For the Problem 1:

In the first step, Hilda applied the Conmutative Property of Multiplication, because she changed the order of the numbers in the product

In the second step, she applied the Associative Property of Multiplication, because she agrouped the product of 5 and 2/5 to perform it sepparately

In the third step, she calculated the product of the fractions -4/3 and 2/1, then she extracted 2 as a common factor to express the fraction as -2*2/3

For the Problem 2:

In the first step, Hilda applied the Conmutative Property of Addition, because she changed the order of the numbers in the sum

In the second step, she applied the Associative Property of Addition, because she associated the addition of 17 and 3 and the addition of 29 and 1, to calculate them in groups.

4 0

3 years ago

Read 2 more answers

PLEASE HELP!!!!

emmasim [6.3K]

Answer:

Step-by-step explanation:

Hope this helps

4 0

3 years ago

Read 2 more answers

Thank you all for helping me with every thing! I also need help with this one :)