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USPshnik [31]
3 years ago
14

Verify the identity. cos (x - y) - cos (x + y) = 2 sin x sin y

Mathematics
1 answer:
ra1l [238]3 years ago
8 0
It is already in identity.
cos (x - y) - cos (x + y) = 2 sin(x) sin (y)
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If f(x) = x2 - 2x and g(x) = 6x + 4 for which value of x does (t +g)(x)=0​
Vinil7 [7]

Answer:

-2

Assumption:

Find the value of x such that (f+g)(x)=0.

Step-by-step explanation:

(f+g)(x)=0

f(x)+g(x)=0

(x^2-2x)+(6x+4)=0

Combine like terms:

x^2+4x+4=0

This is not too bad too factor on the left hand side since 2(2)=4 and 2+2=4.

(x+2)(x+2)=0

(x+2)^2=0

So we need to solve:

x+2=0

Subtract 2 on both sides:

x=-2

Let's check:

(f+g)(-2)

f(-2)+g(-2)

((-2)^2-2(-2))+(6(-2)+4)

(4+4)+(-12+4)

(8)+(-8)

0

0 was the desired output of (f+g)(x).

7 0
2 years ago
Given the following mAB = mBC= mCD in circle F what is the measure of angle AFB
Svetach [21]
50° <span>is the measure of angle AFB</span>

8 0
3 years ago
What are both of the blanks?? Y= [ ]x+ [ ]
vitfil [10]
Perpendicular: the slope will be -6
Pass the point: Since we know slope is -6, then (-6)*(-3) + ? = 23 -> ? = 5
So answer: y = -6x + 5
7 0
2 years ago
If f(x) = 2x - 9, which of the following are correct?
matrenka [14]
F(-1) = -11
f(0) = -9
f(3) = -3
3 0
3 years ago
What is the slope and y-intercept of line q graphed below?
beks73 [17]

The correct answer is C) 1/3 and (0, 1)

The y-intercept part is somewhat simple. In order for it to be a y-intercept, the x value of the ordered pair must be 0. That is only true in B and C, therefore they are the only possible answers.

To find the slope, we must choose two points on the line and use the slope formula. We can start by using the y-intercept (0, 1) and also (3, 2). Now we use the slope formula.

m = (y2 - y1)/(x2 - x1)

In this equation m is equal to slope, the first point is (x1, y1) and the second point is (x2, y2)

m = (y2 - y1)/(x2 - x1)

m = (2 - 1)/(3 - 0)

m = 1/3

Now knowing the slope, you can match this with answer C.

3 0
2 years ago
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