See the attached picture:
Answer:
(3, 3) × 13 = (39, 39)
(0, 3) × 13 = (0, 39)
(6, -6) × 13 = (78, -78)
(9, 6) × 13 = (117, 78)
Step-by-step explanation:
Because the center of dilation is at (0, 0), or the origin, we can just multiply the x and y values of each point by the scale factor of 13.
(3, 3) × 13 = (39, 39)
(0, 3) × 13 = (0, 39)
(6, -6) × 13 = (78, -78)
(9, 6) × 13 = (117, 78)
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Answer:
Keep the exact order that is shown
Step-by-step explanation:
The first exponential already has a point at (1, -2) which means the y-intercept would be less than -2, which is the lowest among the three
The second has a y-int at -2
Third has y-int at 2
Answer:
The diameter is approximately 8.9 cm
Step-by-step explanation:
The circumference is given by
C = pi *d
28 = pi *d
Divide each side by pi
28/pi = d
We can approximate pi by 3.14
28 /3.14 =d
8.917 = d
The diameter is approximately 8.9 cm
Answer:
x = 35
Step-by-step explanation:
Solve for x:
5 (x + 20) = 7 x + 30
Expand out terms of the left hand side:
5 x + 100 = 7 x + 30
Subtract 7 x from both sides:
(5 x - 7 x) + 100 = (7 x - 7 x) + 30
5 x - 7 x = -2 x:
-2 x + 100 = (7 x - 7 x) + 30
7 x - 7 x = 0:
100 - 2 x = 30
Subtract 100 from both sides:
(100 - 100) - 2 x = 30 - 100
100 - 100 = 0:
-2 x = 30 - 100
30 - 100 = -70:
-2 x = -70
Divide both sides of -2 x = -70 by -2:
(-2 x)/(-2) = (-70)/(-2)
(-2)/(-2) = 1:
x = (-70)/(-2)
The gcd of -70 and -2 is -2, so (-70)/(-2) = (-2×35)/(-2×1) = (-2)/(-2)×35 = 35:
Answer: x = 35
