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2 years ago

Help asap Use the graph to find the indicated value of the function.

Mathematics

2 answers:

mel-nik [20]2 years ago

8 0

If a pair related to the function is graphed

Then

(x,y) be a pair

f(x)=y

x is domain
y is range

Her e

f(-2)

Find the point

(-2,2)

f(-2)=2

kipiarov [429]2 years ago

7 0

f(-2) means the x value is -2 and you need to find the y value at that point.

At x = -2 the line crosses the y axis at y = 2

f(-2) = 2

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In the standard x,y plane, a circle has a radius 6 and center (7, 3). The circle intersects the x-axis at (a, 0) and (b, 0). Wha

arsen [322]

Answer: The required value of a+b is 14.

Step-by-step explanation: Given that in the standard xy plane, a circle has a radius 6 and center (7, 3).

The circle intersects the x-axis at (a, 0) and (b, 0).

We are to find the value of a+b.

We know that

the standard equation of a circle with center at (h, k) and radius r units is given by

$(x-h)^2+(y-k)^2=r^2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

For the given circle, we have

(h, k) = (7, 3) and r = 6 units.

So, from equation (i), we get

$(x-7)^2+(y-3)^2=6^2\\\\\Rightarrow (x-7)^2+(y-3)^2=36~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

Since the circle (ii) passes through the points (a, 0) and (b, 0), so let the point be denoted by (c, 0), then we have

$(c-7)^2+(0-3)^2=36\\\\\Rightarrow (c-7)^2+9=36\\\\\Rightarrow (c-7)^2=27\\\\\Rightarrow c-7=\pm3\sqrt3~~~~~~~~~~~~~~~~~~~~~~[\textup{Taking square root on both sides}]\\\\\Rightarrow c=7\pm3\sqrt3$

Therefore, we get

$a=7+3\sqrt3,\\\\b=7-3\sqrt3.$

That is,

$a+b=(7+3\sqrt3)+(7-3\sqrt3)=14.$

Thus, the required value of a+b is 14.

4 0

3 years ago

Identify the constant term in this expression 24m+ 4n- 12m +3

Tatiana [17]

For this case we have the following expression:

$24m + 4n-12m + 3$

By definition, a constant term is a value that cannot be modified, does not vary.

It is observed that the first three terms of the expression depend on a variable, therefore they are not constant.

The fourth term "3" is the constant term of the expression.

Answer:

The constant term is 3

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4 years ago

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Find the volume of a right circular cone that has a height of 3.9 in and a base with a radius of 14.3 in. Round your answer to t

Gnom [1K]

Answer:

$volume = \frac{1}{3} \pi {r}^{2} h \\ = \frac{1}{3} \times 3.14 \times {(14.3)}^{2} \times 3.9 \\ = 834.73 \: cubic \: in$

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3 years ago

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Scott spends $250 each month on his car payment. What percent of his monthly income does Scott spend on his car payment? Round t

Juli2301 [7.4K]

Answer:

8.3333333333

Step-by-step explanation:

Rounded would be 8.3% because there is 30 days in a month divided by 250

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3 years ago

Which of the following is equivalent to 9^5/2.

Korvikt [17]

Answer:

Step-by-step explanation:

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