4x-7>17 what's the problem and answe of solution please
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Find two consecutive positive even numbers the sum of whose squares is 340
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consecutive even means x and x+2 since they are 2 apart
sum of squares is 340 x^2+(x+2)^2=340 expand and add x^2+x^2+4x+4=340 2x^2+4x+4=340 divide both sides by 2 to make it easier x^2+2x+2=170 minus 170 bot sides x^2+2x-168=0 facotr (x-12)(x+14)=0 set each to zero x-12=0 add 12 x=12
x+14=0 minus 14 x=-14 but they has to e positive to disregard
x=12 x+2=14
numbers are 12 and 14
The steamboat River Queen travels at the rate of 30km/h in still water. If it can travel 45 km up stream in the same amount of time that it takes to go 63 km down stream what is the rate of the current.
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Solve the following equation for L:
P= 2L + 2W
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p = 2L + 3w
Add -2w to both sides of the equation
2L = p - 2w
Divide both sides by 2
2L = p - 2w /2 /2
L = 1/2P - w
A population of flies grows according to the function p(x) = 6(3)x, where x is measured in weeks. A local spider has set up shop and consumes flies according to the function s(x) = 4x + 1. What is the population of flies after two weeks with the introduced spider?
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Answer:
The correct answer is 45
Segment xy represents the path of an airplane that passes through the coordinates (2,1)and (4,5). What is the slope of a line that represents the path of another airplane that is traveling parallel to the first airplane?
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Steps: 1. Do the slope formula Y2-Y1 -------- X2-X1 2. 5-1 ------ 4-2 3. 5-1=4 4-2=2 4. 4/2=2 so your slope is 2. When a line is parallel that means it has the same slope so, the slope is 2 5. Your answer is 2