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serious [3.7K]
3 years ago
5

What is the value of x? Enter your answer in the box. x =

Mathematics
1 answer:
Assoli18 [71]3 years ago
3 0

Answer:

x = 5

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 12² = 13², so

x² + 144 = 169 ( subtract 144 from both sides )

x² = 25 ( take the square root of both sides )

x = \sqrt{25} = 5

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The functions f(x) = −(x − 1)2 5 and g(x) = (x 2)2 − 3 have been rewritten using the completing-the-square method. apply your kn
ale4655 [162]

The vertex of the function f(x) exists (1, 5), the vertex of the function g(x) exists (-2, -3), and the vertex of the function f(x) exists maximum and the vertex of the function g(x) exists minimum.

<h3>How to determine the vertex for each function is a minimum or a maximum? </h3>

Given:

$\mathrm{f}(\mathrm{x})=-(\mathrm{x}-1)^{2}+5$ and

$\mathrm{g}(\mathrm{x})=(\mathrm{x}-2)^{2}-3$

The generalized equation of a parabola in the vertex form exists

$y=a(x-h)^{2}+k

Vertex of the function f(x) exists (1, 5).

Vertex of the function g(x) exists (-2, -3).

Now, if (a > 0) then the vertex of the function exists minimum, and if (a < 0) then the vertex of the function exists maximum.

The vertex of the function f(x) exists at a maximum and the vertex of the function g(x) exists at a minimum.

To learn more about the vertex of the function refer to:

brainly.com/question/11325676

#SPJ4

8 0
2 years ago
Find the slope of the line that contains the following points.<br> R(-3,5), S(3,-2)
Goryan [66]

Answer:

-7/6

Step-by-step explanation:

var y/ var x

5 to -2 is variation y ----> -7

-3 to 3  is variation x ---> 6

4 0
3 years ago
Read 2 more answers
What is the range of the function of the graph​
Alex_Xolod [135]

Answer : Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

GOOD LUCK

5 0
3 years ago
E = {10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23}
Nata [24]

Answer:

A=11,13,17,19 B=12,18 None=10,14,16,19 Both=15

Step-by-step explanation:

11,13,15,17,19 are all odd so they go in A

12,15,18 Are all multiples of 3 so they go in B

10,14,16,19 Are not classified so they go outside of the diagram but inside E

15 is odd and a multiple of 3 so put it in the center and not with A and B

6 0
3 years ago
All changes saved
slamgirl [31]
Your answer would be :A


Explanation: He claims to have had 9 sales “per day” for the week. When really it was only for 2 days. That being Thursday and Tuesday! The Mode number of the sales is 9; which is only higher from most of the days.


I hope this helps. Let me know if I am wrong plz. It’s 1 in the morning for me right now. Lol Have a blessed day bud.
4 0
3 years ago
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