Answer:
21+/-sqrt(253)=x
So one value for x is 21+sqrt(253)
and another is 21-sqrt(253)
Problem:
Given (21,7) and (x,1), find all x such that the distance between these two points is 17.
Step-by-step explanation:
Change in x is x-21
Change in y is 7-1=6
distance^2=(change in x)^2+(change in y)^2
17^2=(x-21)^2+(6)^2
289=(x-21)^2+36
Subtract 36 on both sides:
289-36=(x-21)^2
253=(x-21)^2
Take square root of both sides:
+/-sqrt(253)=x-21
Add 21 on both sides:
21+/-sqrt(253)=x
Answer:
is 
Step-by-step explanation:
var x = +3 (one side of right angled triangle)
var y = +1 (the other side of the right angled triangle)
Use the Pythagoras' Theorem.
3² + 1² = 10
308 gallons of 7% and 77 gallons of 2% are needed to obtain the desired 385 gallons.
<h3><u>Combination</u></h3>
Since a dairy needs 385 gallons of milk containing 6% butterfat, to determine how many gallons each of milk containing 7% butterfat and milk containing 2% butterfat must be used to obtain the desired 385 gallons, the following calculation must be performed:
- 385 x 0.06 = 23.1
- 300 x 0.07 + 85 x 0.02 = 22.7
- 310 x 0.07 + 75 x 0.02 = 23.2
- 308 x 0.07 + 77 x 0.02 = 23.1
Therefore, 308 gallons of 7% and 77 gallons of 2% are needed to obtain the desired 385 gallons.
Learn more about combination in brainly.com/question/27339616
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The height of the tank must be at least 1 foot, or 12 inches. We know the floor area (which is length x width) must be at least 400 inches. Therefore these minimum dimensions already tell us that the minimum volume is 400 x 12 = 4800 cubic inches. Since we have a maximum of 5000 cubic inches, the volume must be within the range of 4800 - 5000 cubic inches.
We can set the height at exactly 1 ft (or 12 inches). Then we can select length and width that multiply to 400 square inches, for example, L = 40 inches and W = 10 in. This gives us a tank of dimensions 40 x 10 x 12 = 4800 cubic inches, which fits all the criteria.
Answer:
2 miles = 3,520 yards
first we need to find how many yards she's walked already :
400×5=2,000 yards
now subtract :
3,520-2,000= 1,520 yards
Keisha needs to walk 1,520 more yards to complete 2 miles
hope this helped
Step-by-step explanation:
