Answer:
-3, 7 = x
Step-by-step explanation:
3|x – 2| + 2 = 17
- 2 - 2
________________
3|x - 2| = 15
_______ ___
3 3
|x - 2| = 5
+ 2 + 2 + 2 + 2
_______________ ____________
x = -3 x = 7
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Answer:
Fraction of the garden used =
Step-by-step explanation:
The fifth graders to plant a butterfly garden.
We are given that
Clover grows in ½ of the garden
Daisies grow in ¼ of the garden
Coneflowers grow in ⅛ of the garden
milkweed grows in ⅛ of the garden
The fifth graders notice that the butterflies land on the clover and milkweed.
We are asked to find out the fraction of the garden that the butterflies used.
Fraction of the garden used = clover + milkweed
Fraction of the garden used =
The LCM of 2 and 8 is 8
Fraction of the garden used =
Fraction of the garden used =
Therefore, the butterflies used fraction of the garden.
Given:
Line a is perpendicular to line b .
Line a passes through the points (1,-8) and (9,-12) .
Line b passes through the point (-8, -16).
To find:
The equation of b.
Solution:
Line a passes through the points (1,-8) and (9,-12) . So, slope of line a is
Product of slopes of two perpendicular lines is -1.
Slope of line b is 2.
If a line passing through a point with slope m, then equation of line is
Line b passing through (-8,-16) with slope 2. So, equation of line b is
Subtract 16 from both sides.
Therefore, the equation of line b is .