Answer:
Step-by-step explanation:
If we are given a function <em>f</em> and we want to shift it <em>a</em> units horizontally, the resulting function will be f(<em>x</em> - <em>a</em>), where a positive <em>a</em> is a shift rightwards and a negative <em>a</em> is a shift leftwards.
We have the function:
And we want to shift it two units to the left.
Since we want to shift it two units to the left, <em>a</em> = -2. Therefore, our new function, let's call it <em>g</em>, must be f(<em>x</em> - (-2)) or f(<em>x</em> + 2). Substitute:
Simplify. Expand:
Combine like terms. Hence:
The correct option is B.
The value will be = 25
What is the Angles of the triangle?
The sum of the two interior angles that are not adjacent to it equals the exterior angles of a triangle, but the interior angles of a triangle always add up to 180°. Subtracting the angle of the desired vertex from 180° is another method for determining a triangle's exterior angle.
<h3>Suppose point C is where lines DE and AB converge.</h3>
∠ACE = (2x+2)°
∠ECB = (5x+ 3)°
Angles ACE and ECB are additional angles according to the linear postulate, as seen in the attached diagram.
Therefore:
∠ACE+∠ECB = 180°
(2x+2)+(5x+3) = 180
2x+ 5x+ 2+ 3 = 180
7x + 5 = 180
7x = 175
x= 175/7
x = 25
Thus the value will be = 25
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I understand that the question you are lookin for is :
Lines de and ab intersect at point c. lines d e and a b intersect at point c. angle a c e is (2 x 2) degrees. angle e c b is (5 x 3) degrees. what is the value of x?
A.12
B. 25
C. 38
D. 52
Answer:
B
Step-by-step explanation:
We know that the blue triangle is the image as it has the ' on the letters. For example G'.
To first start off, you can look at any points to help solve this problem. I used the point H to help me solve this
Since we know that the black triangle is our old image we know the distance in x values between the black triangle to the blue is -2 as it moves to the left 2 times. (Note: it's going more into the negatives, if it were going to the right it would be positive)
Now we do the same to find our y values, and we see that y value for h on the black triangle goes up +1.
Now we know that the X goes to the left two times to get -2 and that the Y goes up once to get +1.
Hope this helps! :)
Answer:
The dimensions are <u>15 x 6</u>
Step-by-step explanation:
Length (L) Width (W)
Perimeter = (W x 2) + (L x 2)
L = (W x 2) + 3
L x 2 = (W x 4) + 6
42 - 6 = 36
36 ÷ 6 = 6
6 x 2 + 3 = 15
<u>Perimeter = (6 x 2) + (15 x 2) = 42</u>
Answer:
Its the first option
Step-by-step explanation:
Factor the denominator:-
q^2 - 7q - 8 = (q - 8)(q + 1)
The denominator must be > 0 so the restriction is q ≠ -1 and q ≠ 8.
