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3 years ago

Which of the following is not equivalent to x - y + z?

2 answers:

5 0

You have to be sure the signs are the same. It doesn't matter the order.
The third choice has x as a negative so it is incorrect.

charle [14.2K]3 years ago

4 0

Y - x + z

A good way to tackle this problem is to check for the signs of all the variables. In your original expression, x-y+z, x and y are positive and y is negative. In all of the given options, the expression y - x + z is the only one which doesn't have the same signs. Hence it is not equivalent to x - y + z.

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A principal of $1,000 is invested in an account paying an annual interest rate of 6%.

Evgesh-ka [11]

A(t) = P(1+(r/n))^(nt)

A(5) = 1000(1+0.12/2)^(2*5)

A(5) = 1000(1.06)^(10)

A(5) = $1790.85

6 0

3 years ago

Read 2 more answers

Solve 5r2 – 12 = 68. {±4} {±5} {±3} {±6}

sashaice [31]

Hey there!

Assuming you meant

$5r^2 - 12 = 68$

If so, follow these steps so it can be a little bit easier to solve

Firstly, we have to $add$ by $12$ on each of your sides

$5r^2 -12 +12 \\ \\ 68 + 12$

$5r^2 = 5r^2 \\ \\ 68 + 12 = 80$

We get: $5r^2 =80$

Now, we have $divide$ by $5$ on each of your sides

$\frac{5r^2}{5} = \frac{80}{5}$

$\frac{80}{5} = 16$

We get: $r^2 = 16$

$r =$ ± $\sqrt{16}$

Therefore , your answer is: $r =$ ± $4$

Good luck on your assignment and enjoy your day!

~ $LoveYourselfFirst:)$

3 0

3 years ago

Please help thank you

Gemiola [76]

Question 1:

This is a 45-45-90 right triangle. If the leg length is $x$ , then the hypotenuse length will be $x \sqrt{2}$ .

The leg length of this 45-45-90 right triangle is 8. Multiply that with the square root of 2. You get $8 \sqrt{2}$ . Thus, the last choice is your answer.

Question 2:

This triangle can be identified as a 30-60-90 right triangle.
Let's say the smallest leg as a length of $x$ .
Then, the longer leg will have a length of $x \sqrt{3}$ .
Also, the hypotenuse will have a length of $2x$

This triangle follows this format, making it a 30-60-90 right triangle. Thus, the angles are 30, 60, and 90.

Hope this helps! :)

5 0

3 years ago

The bar graph in the following graphic represents fictional net exports in billions of dollars for five countries. Net exports a

harina [27]

Answer:

$80 billion

Step-by-step explanation:

From the graph, we have the following:

$United\ States = -110$

$Denmark = -30$

$China = 120$

$Germany = 40$

$Spain = 30$

Required

Determine the difference in US and Denmark exports

The difference is calculated as thus:

$Difference = Denmark - United\ States$

This gives:

$Difference = -30 - (-110)$

$Difference = -30 +110$

$Difference = 80$

<em>Hence, the difference is $80 billion</em>

8 0

3 years ago

Which of the following statements is needed in order to prove these triangles are congruent by AAS?

creativ13 [48]

Answer:

$RQ\cong UT$

Step-by-step explanation:

Two triangles are congruent by AAS postulate if two adjacent corresponding angles are congruent and the next adjacent sides to any of the angles is are also congruent. The adjacent sides should not be in between the two congruent angles.

From the triangles RQS and UTV

$\angle R\cong \angle U\\\angle S\cong \angle V$