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2 years ago

Give the domain and range of the relation.

Mathematics

1 answer:

igor_vitrenko [27]2 years ago

6 0

Answer: A Domain: {-5, 0, 4, 6} Range: {-9,0, 9, 13}

Step-by-step explanation:

Domain is the x-values, least to greatest.

Range is the y-values, least to greatest.

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TV−→− bisects ∠RTS. If the m∠RTV=(16x−6)° and m∠VTS=(13x+9)° , what is the value of x and the m∠RTV ?

natta225 [31]

Answer:

$x = 5$

$RTV = 74$

Step-by-step explanation:

Given

$RTV=16x - 6$

$VTS=13x+9$

Required

Determine the values of x and RTV

Since, TV is a bisector, then

$RTS = RTV + VTS$ --- (1)

and

$RTV = VTS$ -- (2)

Substitute values of RTV and VTS in (2)

$16x - 6 = 13x + 9$

Collect Like Terms

$16x - 13x = 9 + 6$

$3x = 15$

Solve for x

$x = 5$

Substitute 5 for x in $RTV=16x - 6$

$RTV = 16 * 5 - 6$

$RTV = 80 - 6$

$RTV = 74$

8 0

3 years ago

In segment AC, the midpoint is B. if segments AC = 5x-9 and AB= 2x what is the measure of AC? Can you show their work on paper o

vodka [1.7K]

Answer:

The answer to your question is: AC = 36

Step-by-step explanation:

Data

Segment AC with midpoint = B

AC = 5x - 9

AB = 2x

AC = ?

Process

total length = AC but B is the midpoint so AB + AB = CA

2AB = CA

Substitution 2(2x) = 5x - 9

4x = 5x - 9

Solve for x 4x - 5x = -9

-1x = -9

x = -9/-1

x = 9

Finally, AC = 5x - 9

= 5(9) - 9

= 45 - 9

= 36

4 0

3 years ago

Please answer this problem!

harina [27]

Answer:

a. volume= 784 is the answer

8 0

2 years ago

How many things can happen if you spin the spinner three times and flip the coin three times?

vladimir2022 [97]

Answer:

Step-by-step explanation:

8 possible outcomes

We can now extend this thinking. If we toss three coins, we have a total of 2 × 2 × 2 = 8 possible outcomes: HHH, HHT, HTH, HTT, THH, THT, TTH, and TTT.

7 0

3 years ago

John who is 5 ft tall is standing 20 feet away from a tree, and you measure the angle of elevation to be 38∘. How tall is the tr

fenix001 [56]

Answer:

The tree is 20.6 ft tall.

Step-by-step explanation:

Please check the attached graph.

From the diagram, it is clear that John is 5 ft tall is standing 20 feet away from a tree, making an angle of elevation to be 38⁰.

The diagram makes a right-angled triangle.

Given the angle = Ф = 38⁰

Adjacent = a = 5 ft

Opposite = b = 20 ft

Hypotenuse = Tree length = c ?

Pythagorean Theorem:

For a right-angled triangle, with sides 'a' and 'b', the hypotenuse 'c' is defined as:

$\:c=\sqrt{a^2+b^2}$

substituting a=5, b=20

$c=\sqrt{5^2+20^2}$

$c=5\sqrt{17}$

$c=20.6$ ft

Thus, the tree is 20.6 ft tall.

3 0

3 years ago