I need to know the answer and how to solve this

Mathematics

1 answer:

bulgar [2K]2 years ago

7 0

Answer:

v=9

Step-by-step explanation:

There's a property in geometry called the vertical angles postulate, which means that angles on opposite sides of two intersecting lines are congruent, meaning they have the same measure. So, we already know that one value of the angle is 50 degrees, and 6v-4 is also 50 degrees, because of the vertical angles postulate. We can then solve with basic algebra. 6v-4=50, so 6v=50+4. 6v=54, so v=54/6. 54 divided by 6 is 9, therefore v is equal to 9.

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Write an equation of a circle that is centered at (1,-4) with a radius of 10.

alexdok [17]

Answer:

$(x-1)^2 + (y+4)^2 = 100\\\\$

=====================================================

Work Shown:

$(x-h)^2 + (y-k)^2 = r^2\\\\(x-1)^2 + (y-(-4))^2 = 10^2\\\\(x-1)^2 + (y+4)^2 = 100\\\\$

You could expand terms out and simplify, but I think it's more handy to leave it in this form so you can easily spot the center and radius from a glance.

5 0

2 years ago

Read 2 more answers

Which of the following is true with respect to the following functions:

Mkey [24]

The option that is true with regard to the following functions is Option B. "The domain g(x) and h(x) include all real number while the domain of i(x) and h(x) are restricted"

<h3>What is the explanation for the above?</h3>

Lets examine f(x) = 3x + 14

Note that this function is indicative of a straight-line. See the attached graph for function 1. Note that it doesn't have any end points. That is, it is Asymptote.

Let us examine h(x) = 3ˣ + 1

This represents an exponential graph. Just like the function above it doesn't have any end point. It however has an asymptote:

y = 0

Let us look at F'(x) = Log₃ (x = 1).

This is indicative of logarithm graph. It doesn't have any end but has an asymptote x == 0

Let us take a look at g(x) = X⁴ + 3x² - 14

Notice that in the mid point there is an end point given as (0, -14). Thus, it is correct to state that the function in Option B is the only one that exhibits end behavior and as such is restricted.

Learn more about functions:
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