Answer:
23.6 (approximate value)
Step-by-step explanation:
- a*a+b*b=c*c Pythagorean thereom
- (21.5)^2 + b*b = (31.9)^2
- b*b= 1017.61 - 462.25
- √b*b= √555.36
- b=23.6(approximate value)
Answer:
a. false
b. true
c. true
d. true
e. false
Step-by-step explanation:
a. False. The "unit rate" is 19.75 gallons per minute. The "unit" of a "unit rate" is in the denominator. Here, the denominator of the rate is 1 minute.
__
b. True. A graph of a proportional relationship is a straight line through the origin.
__
c. True. In 5 minutes, the water in the pool will increase by 98.75 gallons, about 100 gallons.
__
d. True. The ratio of a y-value to an x-value will always be 19.75. That is the meaning of this proportional relationship.
__
e. False. The points (8, 158) or (7.5949, 150) will be on the graph. The point (8, 150) will not.
Answer: X=1
Step-by-step explanation:
Please see picture for steps
Answer:
(2,8)
Step-by-step explanation:
Add them together to get rid of the y.
-6x = -4 - y
-7x = -22 + y
=
-13x = -26
Then solve for x.
-13x/-13 = -26/-13
x = 2
Now plug in the x value into either equation and solve for y.
-7(2) = -22 + y
-14 = -22 + y
-14 + 22 = -22 + 22 + y
8 = y
So...
x = 2
y = 8
(2,8)
