9514 1404 393
Answer:
- y -3 = 5(x -1)
- y +1 = -3(x +2)
- y +7 = -1/4(x -4)
Step-by-step explanation:
When you are given a point and a slope, and asked for the equation in point-slope form, it is simply a matter of putting the given numbers into the appropriate places in the equation template.
y -k = m(x -h) . . . . . . point (h, k), slope m
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1. y -3 = 5(x -1) . . . . . . point (1, 3), slope 5
2. y +1 = -3(x +2) . . . . point (-2, -1), slope -3
note that for k=-1, -k = -(-1) = +1; similarly the value of -h becomes +2
3. y +7 = -1/4(x -4) . . . point (4, -7), slope -1/4
Answer as a fraction: AB = 127/13 (exact)
Answer in decimal form: AB = 9.76923 (approximate)
Sides AC and BC are the same length as AB.
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Work Shown:
AB = (3/2)x+4
AC = (1/5)x+9
These sides are equal to each other since all sides of an equilateral triangle are the same length.
AB = AC
(3/2)x+4 = (1/5)x+9
10*[ (3/2)x+4 ] = 10*[ (1/5)x+9 ] ... see note below
10*(3/2)x + 10*4 = 10*(1/5)x + 10*9
15x + 40 = 2x + 90
15x-2x = 90-40
13x = 50
x = 50/13
Note: I multiplied both sides by the LCD (lowest common denominator) 10 to clear out the fractions.
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Once we know what x is, we plug it into the expression for AB
AB = (3/2)x+4
AB = (3/2)*(50/13) + 4
AB = (3*50)/(2*13) + 4
AB = (3*2*25)/(2*13) + 4
AB = (3*25)/(13) + 4
AB = 75/13 + 4
AB = 75/13 + 52/13
AB = (75+52)/13
AB = 127/13 which is exact
AB = 9.76923 which is approximate
Because we have an equilateral triangle, AB = BC = AC.
Answer:
8 less than the product of 4 times 7 is....
8-4×7.
743.476 < 743.746
743.746 > 743.476
Answer:
The answer is below
Step-by-step explanation:
An independent variable is a variable that does not dependent on other variables. It is the input variable.
A dependent variable is a variable that is dependent on other variables. The dependent variable depends on the independent variable. It is the output variable.
Since porter receives 3 tickets for every dollar, this means the number of ticket is dependent on the money he spend. Therefore the money he spends (d) is the independent variable and the tickets (t) is the dependent variable.
