Answer: -5x+y=6
Step-by-step explanation:
Given
Points on line 
The standard form of an equation is 
Using the two-point form of a line
D∩E=D This is because since D is a subset of E then the elements they will have in common are the elements in D and D is not a null set
Answer:
Comparing each pair of lines,
AB and EF,
BC and FG,
CD and GH,
DA and HE.
For, AB and EF,
If we take a look at both the lines they are the mirror image of each other, the distance between point A and B is 1 unit upwards, and 2 unit sidewise, similarly between point E and F the distance is 1 unit upwards, and 2 unit sidewise. therefore, the length of both the lines is the same.
Also, we can use the formula, for the distance between two points on a coordinate plane,
,
As we can see in the image,
A = (-1, 1),
B = (-3, 2),
C = (-4, 4),
D = (-2, 6),
E = (2, 0),
F = (4, 1),
G = (5, 3),
H = (3, 5),
Solving using the formula,
AB = EF = √5,
BC = FG = √5,
CD = GH = √8,
DA = HE = √26,
Therefore, the length of all the sides of the polygon are the same,
Hence, the two figures are congruent.
Step-by-step explanation:
Based on the table given on the punch recipe, the correct answers are:
- 48 cups.
- 48 cups.
- 8
- 8 cups of frozen strawberry.
<h3>What does the table on the punch recipe show?</h3>
3 gallons of punch in cups is:
= 16 cups per gallon x 3 gallons
= 48 cups
The amount that Chandra should multiply each ingredient by is:
= 48 cups / 6 cups per recipe
= 8
The number of cups of frozen strawberries needed is:
= 8 x 1
= 8 cups
Find out more on ratios and quantities at brainly.com/question/24910157.
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