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4 years ago

The function g(x) =x^(2)+3. The function f(x)=g(x+2).

Mathematics

2 answers:

Tpy6a [65]4 years ago

6 0

Answer:2 units left of g(x)

2 units down from g(x)

Step-by-step explanation: plug in the formulas

r-ruslan [8.4K]4 years ago

6 0

Answer:

Function is shifted horizontally, 2 units left of g(x). There is no vertical shift.

Step-by-step explanation:

Adding a real number s to the argument of a function will have an effect of shifting the graph of the function horizontally by s units. If s>0 the shift is to the left, for s<0 the shift is to the right. See attached plot of the two functions of g(x) and g(x+2), if you are curious enough.

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In ΔABC, the lengths of a, b, and c are 22.5 centimeters, 18 centimeters, and 13.6 centimeters, respectively.

Irina-Kira [14]

Given the values of the three sides of the triangle, we can apply the Cosine Law to find the angles of the triangle. Recall that for we can express the value of c through the equation below.

$c^{2} = a^{2} + b^{2} - 2abcosC$

Rearranging this equation, we can find the value ∠C as shown below.

$\cos C = \frac{a^{2}+b^{2}-c^{2}}{2ab}$
$C = cos^{-1} (\frac{a^{2}+b^{2}-c^{2}}{2ab})$

We can apply the same reasoning for finding the value of ∠B as shown.

$B = cos^{-1} (\frac{a^{2}+c^{2}-b^{2}}{2ac})$

Plugging in the values of the sides (see image attached) from the given. It will now be straightforward to compute for ∠B and ∠C.

$C = cos^{-1} (\frac{22.5^{2}+18^{2}-13.6^{2}}{2(22.5)(18)})$
$C \approx 37.19$

$B = cos^{-1} (\frac{22.5^{2}+13.6^{2}-18^{2}}{2(22.5)(13.6)})$
$B \approx 53.13$

Answer: ∠C = 37.19° and ∠B = 53.13°

7 0

4 years ago

Read 2 more answers

What is the sum of the following numbers. -7,5,-3,6,-4,7,-5,3-1,4

Sav [38]

Answer:

Step-by-step explanation:

Tổng : -7,5+(-3,6)+(-4,7)+(-5,3)+(-1,4)=-22,5

3 0

3 years ago

In the right triangle shown in the diagram below,

adelina 88 [10]

QUESTION :-

what is the value of x to the nearest whole number?

ANSWER :-

$\cos( \theta) = \frac{base}{hypotenuse} \\ \cos(30) = \frac{x}{24} \\ \frac{ \sqrt{3} }{ \cancel2} = \frac{x}{ \cancel{24}} = \frac{x}{12} \\ 1.732 = \frac{x}{12} \\ 12 \times 1.732 = x \\ x = 20.7$

the nearest whole number-->

20.7 --> approximately --> 21 units

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3 years ago

What is 5/8 times 24hours

max2010maxim [7]

The answer is 5/8 x 24 is equal to 15 hours

8 0

4 years ago

Solve.<br> sec 315 degrees

densk [106]

Answer:

1.41

Step-by-step explanation:

5 0

3 years ago