Answer:
C. m ≥ 9
Step-by-step explanation:
7m -2 ≥ 61
7m ≥ 61+2
7m ≥ 63
m ≥ 63/7
m ≥ 9
Answer:
Harry = 10 toys
Mark = 20 toys
Sue = 20 toys
Step-by-step explanation:
H + M + S = 50
H = M - 10
S = 2H
Harry = 10 toys
Mark = 20 toys
Sue = 20 toys
Answer:
Step-by-step explanation:
If a point (x, y) is translated by 4 units horizontally right and 1 unit upwards, coordinates of the image point will be,
(x, y) → (x + 4. y + 1)
Therefore, vertices of the image triangle ABC will be,
A(2, 2) → A'(2+4, 2+1)
→ A'(6, 3)
B(5, -1) → B'(5+4, -1+1)
→ B'(9, 0)
C(1, -2) → C'(1+4, -2+1)
→ C'(5, -1)
Then reflected across y-axis.
Rule for the reflection across y-axis will be,
(x, y) → (-x, y)
A'(6, 3) → A"(-6, 3)
B'(9, 0) → B"(-9, 0)
C'(5, -1) → C"(-5, -1)
I can't see the options, but you would need to multiply (4x - 2y = 7) by 3, and (3x - 3y = 15) by 4 so that you get 12x in both equations. Then when you subtract, you eliminate 12x. I hope this helps!
Answer:
C
Step-by-step explanation:
y = 2x + 5
the slope (m) of this line is 2 (which can be written as 2/1)
The slope of a perpendicular line is -1/m (the reciprocal of the slope with the opposite sign)
so m = 2/1 => -1/m = - 1/2 = the slope of a line perpendicular to y = 2x + 5
