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3 years ago

What is the quotient of 7 to the power of negative 4 and 7 to the power if negative 9

Mathematics

1 answer:

stepladder [879]3 years ago

3 0

Answer:

Step-by-step explanation:

7^-4/7^-9

7^9/7^4 = 7^(9-4)

7^5 is the solution

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What is the domain and range of each function

yKpoI14uk [10]

Answer:

1. Domain: (3, 5, 7, 8, 11)

Range: ( 6, 7, 9, 14)

2. Domain: (-3, -1, 2, 5, 7)

Range: (-7, -5, -4, 5, 9)

Step-by-step explanation:

The domain is the set of all x values in the function. The range is the set of all y values in the function. It is written in parenthesis from least to greatest. Do not repeat values even if the function has them more than once.

1. Domain: (3, 5, 7, 8, 11)

Range: ( 6, 7, 9, 14)

2. Domain: (-3, -1, 2, 5, 7)

Range: (-7, -5, -4, 5, 9)

6 0

3 years ago

The area of triangle ABC is 3√2 square inches. Find the measure of the acute angle, A, if b = 9 meters and c = 2 meters.

taurus [48]

Answer:

$A\approx 28^{\circ}$

Step-by-step explanation:

Please find the attachment.

We have been given that area of triangle ABC is 3√2 square inches.

$\text{Area}=\frac{1}{2}\text{Base}\times \text{height}$

We know that area of triangle an be found using trigonometry as:

$\text{Area}=\frac{1}{2}\times c\times h$

$\text{sin}(A)=\frac{h}{9}\\h=9\cdot \text{sin}(A)$

$3\sqrt{2}=\frac{1}{2}\times 2\times 9\cdot \text{sin}(A)$

$3\sqrt{2}=9\cdot \text{sin}(A)$

$9\cdot \text{sin}(A)=3\sqrt{2}$

$\text{sin}(A)=\frac{3\sqrt{2}}{9}$

$\text{sin}(A)=\frac{\sqrt{2}}{3}$

Now, we will use inverse sine to find the value of angle A as:

$A=\text{sin}^{-1}(\frac{\sqrt{2}}{3})$

$A=28.1255057^{\circ}$

$A\approx 28^{\circ}$

Therefore, the measure of angle A is approximately 28 degrees.

3 0

3 years ago

Which expression has a value of 24 when x=4 and y=2?

wolverine [178]

C) will have value of 24

4 0

3 years ago

Read 2 more answers

The two-column proof below describes the statement and reason for proving that corresponding angles are congruent.

noname [10]

Step 6 wants us to show two angles which are also two interior angles that are located on the same side.

Interior angles are angles that are INSIDE the parallel lines.

On the diagram given, there are two pairs of interior angles that are on the same side:

Angle VQT and angle ZRS
Angle UQT and angle WRS

Two interior angles on the same sides add up to 180°

The missing statement that would fit statement in Step 6 is:
m∠VQT + m∠ZRS = 180°

Answer: Second option

3 0

3 years ago

Read 2 more answers

Please hurry! Thanks <3

Gwar [14]

Answer:

they match with each other

A -1

B-2

C-3

Step-by-step explanation:

6 0

2 years ago

What is the quotient of 7 to the power of negative 4 and 7 to the power if negative 9​

What is the quotient of 7 to the power of negative 4 and 7 to the power if negative 9