Answer:
x=5 and x=-5
Step-by-step explanation:
1. first you would subtract 6 from both sides to set the equation = to zero.
2. The equation would then be x^2-25=0.
3. that is a difference of two squares polynomial. So when you factor it, it is (x+5)(x-5)=0
4. by the zero product property, the roots are 5 and -5.
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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4n = 3m - 1
4n = 3m - 1
Subtract 3m from both sides.
-3m + 4n = -1
Subtract 4n from both sides.
-3m = -4n - 1
Divide both sides by -3.
m = 4/3n + 1/3
m = 4/3n + 1/3
Explanation & work shown in picture.
Solution:
<u>Note that:</u>
- Side₁ (Short side) = 15 meters
- Side₂ (Longer side) = 2(15) = 30 meters
- Perimeter = 2L + 2B
<u>Substituting the values into the expression:</u>
- 2L + 2B
- => 2(15) + 2(30)
- => 30 + 60
- => 90 m
The perimeter of the garden fence is 90 meters.