Answer:
a. 19x-13 b.
Step-by-step explanation:
a. 3(-3+5x)-1(4-4x) = -9+15x-4+4x = 15x+4x-9-4 = 19x-13.
b.
=
a recipe recalls for Papaya juice and carrot juice. the equation represents the proportional relationship between the number of
quarts of Papaya juice (p) and carrot juice (c) in the recipe. what is the number of quarts of papaya juice used for one quart of carrot juice also need help on 2,3,and 5
1 answer:
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Answer:
y = 1/2+1 increasing by 1/2 (-8 -4 ) (-4 0) (2 6)
Step-by-step explanation:
increasing by 1/2 (-8 -4 ) (-4 0) (2 6) see attached as -2 0 and 0 1 has a midway point -1 and 1/2
The coordinates of the vertex W are (5 , -1)
Step-by-step explanation:
In the parallelogram, the diagonal bisect each other
To find a missing vertex in a parallelogram do that:
- Find the mid-point of a diagonal whose endpoints are given
- Use this mid-point to find the missing vertex
- The mid point rule is
∵ WXYZ is a parallelogram
∴ Its diagonals are WY and XZ
∵ The diagonal bisect each other
- That mean they have the same mid-point
∴ They intersect each other at their mid-point
∵ x = (-2 , -3) and z = (7 , 7)
∴ = -2 and
= 7
∴ = -3 and
= 7
- Substitute them in the rule of the mid point to find the
mid-point of XZ
∴
∴ The mid-point of diagonals WY and XZ is (2.5 , 2)
Let us use it to find the coordinates of vertex W
∵ W = (x , y) and Y = (0 , 5)
∴ = x and
= 0
∴ = y and
= 5
- Equate 2.5 by the rule of the x-coordinate of the mid-point
∵
- Multiply both sides by 2
∴ 5 = x + 0
∴ 5 = x
∴ The x-coordinate of point W is 5
- Equate 2 by the rule of the y-coordinate of the mid-point
∵
- Multiply both sides by 2
∴ 4 = y + 5
- Subtract 5 from both sides
∴ -1 = y
∴ The y-coordinate of point W is -1
The coordinates of the vertex W are (5 , -1)
Learn more:
You can learn more about the mid-point in brainly.com/question/10480770
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