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3 years ago

The point P(12.-18) is reflected over the y-axis, what are the coordinates of the

Mathematics

1 answer:

aniked [119]3 years ago

7 0

Answer:

P'(-12, -18)

Step-by-step explanation:

The image of a point reflected over the y-axis is as far to the left of that axis as the original point is to the right. That is, the reflection changes the sign of the x-coordinate. The reflected point is ...

P'(-12, -18)

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Prove that it is congruent

pav-90 [236]

Answer:

The dashes on the side lengths mean that they are equal in length
⇒ PQ = RP

The triangles share one side PS

The figure also states that m∠QPS = m∠RPS

Therefore, the triangles are SAS congruent since they have two pairs of congruent sides and a congruent included angle.

5 0

2 years ago

What is the quotient

tester [92]

Answer:

The quotient is 4x+5 and the remainder is -13

Step-by-step explanation:

Using synthetic division

-5 4 25 12

Bringing down the 4 and multiplying

-5 4 25 12

↓ -20 -25

----------------------

4 5 -13

The quotient is 4x+5 and the remainder is -13

3 0

3 years ago

Read 2 more answers

Solve the following exponential equations. 2(4^x )+ 4^(x+1 )= 342

Cloud [144]

Answer:

x ≈ 2.91644500708

Step-by-step explanation:

The equation can be simplified to ...

2(4^x) +4(4^x) = 342

6(4^x) = 342

4^x = 57

Taking logarithms, we get ...

x = log₄(57) = log(57)/log(4)

x ≈ 2.91644500708

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3 years ago

Chaz is a college student. He has a checking account balance of. -$52.00. His roommate will,s checking account balance is -$59.2

Luda [366]

Pretend you and Will owe a friend instead of the bank, pull out your wallets and pay your debts. Who has to take out more money from their wallet? Of course, Will has to take out $9.25 more than Chaz.

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3 years ago

Given the expression 12 over 12 to the third power.

4vir4ik [10]

Part 1:
Before we begin, you need to remember the following rule:
$\frac{x^a}{x^b} = x^{a-b}$

The given expression is:
$\frac{12}{12^3}$

Since the base is the same in both numerator and denominator, we can apply the above rule. This means that:
$\frac{12}{12^3}$ = 12¹⁻³ = 12⁻²

Part 2:
Before we begin, you need to remember the following rule:
x⁻ᵃ = $\frac{1}{x^a}$

Now, from part 1, we simplified the expression into 12⁻²
Since the power is negative, we can apply the above rule.
This means that:
12⁻² = $\frac{1}{(12)^2} = \frac{1}{12*12} = \frac{1}{144}$

Hope this helps :)

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3 years ago

Read 2 more answers