Answer:
x = 25
y = 21
Step-by-step explanation:
4x + 10 + 3x - 5 = 180° because these two angles makes a straight line
7x + 5 = 180° subtract 5 from both sides
7x = 175° divide by 7
x = 25
2y + 28 + 4y + 26 = 180° because the sum of these angles is equal to a straight line's measure
6y + 54 = 180° subtract 54 from both sides
6y = 126 divide both sides by 6
y = 21
With the provided vertices and the focus point, the hyperbola will look like the one in the picture below.
notice the "c" distance from the center to the focus point.
since it's a vertical hyperbola, the positive fraction will be the one with the "y" in it, its center is clearly half-way between the vertices at -5, 5.
its major axis or traverse axis goes from -2 up to 12, so is 14 units long, therefore the "a" component is half that, or 7.
21/5 = 126/30
If you divide 30 by 5 you get 6, then multiply the 6 into 21 to get 126
Answer:
C. 6 gallons < 25 quarts.
E. 80 pints = 40 quarts.
Step-by-step explanation:
A. There are 8 fluid oz in 1 cup.
Multiply 8 with 6:
6 cups x 8 = 48 fl oz.
44 fl oz < 48 fl oz ∴ A. is false.
B. There are ~6.67 pints in 1 gallon.
Multiply 6 gallon with 6.67:
6 gallon x 6.67 = ~40.02 pint.
47 pint > 40.02 pint ∴ B. is false.
C. There is 4 quarts in 1 gallon.
Multiply 6 gallons with 4:
6 gallon x 4 = 24 quarts.
24 quarts < 25 quarts ∴ C. is true.
D. There is 4 cups in 1 quarts.
Multiply 7 with 4 and add 4:
7 quarts x 4 = 28 + 4 = 32
32 cups < 34 cups ∴ D. is false.
E. 1 quart = 2 pint
You are given 80 pints:
80/2 = 40 quarts ∴ E. is true.
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