Answer:
y= (C -Ax)/B
x= (C -By)/A
Step-by-step explanation:
Ax+ By = C
solve for y
Subtract AX from each side
Ax+ By - Ax = C-Ax
By = C -Ax
Divide by B
By /B= (C -Ax)/B
y= (C -Ax)/B
solve for x
Subtract By from each side
Ax+ By - By = C-By
Ax = C -By
Divide by A
Ax/A= (C -By)/A
x= (C -By)/A
Answer:
The discriminant is −4, so the equation has no real solutions.
Step-by-step explanation:
In the equation 0 = x² - 4x + 5, a is 1, b is -4, and c is 5.
Plug in these values into b² - 4ac, and simplify:
b² - 4ac
(-4)² - 4(1)(5)
16 - 20
= -4
So, the discriminant is -4. This means that the equation has no real solutions, because the discriminant is a negative number.
The correct answer is that The discriminant is −4, so the equation has no real solutions.
Answer:
D. Dilate rectangle A by a scale factor of 3 with the center of dilation at the origin and rotate it 90° clockwise about the origin.
Step-by-step explanation:
The coordinates of triangle A are (-2,1) , (1,1), (1,-1) and (-2, -1) while that of triangle B are (-3, 6), (3, 6), (3, -3) and (-3, 3).
To transform A to be we need a combination of two transformations, and that is dilation and rotation.
If A is dilated by a scale factor three through the origin as the center of dilation and then rotated through 90° clockwise with the origin as the center of origin, then rectangle B will be obtained.
Answer:
Here we can go for trial and error,
Taking x=6
So equation will be 6*6-18 which gives 18
and is not equal to 54
So it's, not 6
Trying 12
6*12-18
Which is 54 and so correct answer is x=12
