Answer:
Answer 1.
Step-by-step explanation:
The complete question is:
The line whose equation is 3x - 5y = 4 is dilated by a scale factor of 3 centered at the origin. Which statement is correct?
1. The image of the line has the same slope as the pre-image but a different y-intercept.
2. The image of the line has the same y-intercept as the pre-image but a different slope.
3. The image of the line has the same slope and the same y-intercept as the pre-image.
4. The image of the line has a different slope and a different y-intercept from the pre-image.
Recall that a dilation by a scale factor r centered at the origin takes a point (x,y) and maps it to the point (r*x,r*y).
Consider also a line of equation . From this equation, the slope of the line is given by the number and the y-intercept is given by .
Consider the given equation 3x-5y =4. If we replace (x,y) with (3x,3y), we get
which is equivalent to
Note that comparing the equations 3x-5y=4 and the values of a and b are equal but the value of c is different. This means that they have the same slope but a different y-intercept.
Answer:
Solutions of the equation are 22.5°, 30°.
Step-by-step explanation:
The given equation is sin(5θ) - sin(3θ) = cos(4θ)
We take left side of the equation
sin(5θ) - sin(3θ) =
= [From sum-product identity]
Now we can write the equation as
2cos(4θ)sin(θ) = cos(4θ)
2cos(4θ)sinθ - cos(4θ) = 0
cos(4θ)[2sinθ - 1] = 0
cos(4θ) = 0
4θ = 90°
θ =
θ = 22.5°
and (2sinθ - 1) = 0
sinθ =
θ = 30°
Therefore, solutions of the equation are 22.5°, 30°
The equation of this graphed line in slope-intercept form is y = 9/-8 + 7
Answer:
The Answer is 12 feet
Step-by-step explanation:
This is my second account lol I just wanted to give Angie the brainliest!