Answer:
Slope: 5
Y-intercept: 0
Equation: y=5x
Step-by-step explanation:
Lets look for an equation of the format y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).
Slope is defined as the "Rise/Run" of the line. The change in y(the rise) for a change in x(the run). This can be calculated by taking any two of the given data points. I'll pick (1,5) and (5,25):
Rise = (25 - 5) = 20
Run = (5 - 1) = 4
The Rise/Run, or slope, m, is (20/4) or 5.
<u>The equation becomes y = 5x + b.</u>
To find b, the y-intercept, enter <u>any</u> of the points into the equation and solve for b:
y = 5x + b
y = 5x + b for (4,20)
20 = 5*(4) + b
b = 0
The line goes through the origin at x = 0 (0,0).
The equation is y = 5x + 0 or just y = 5x.
Slope: 5
Y-intercept: 0
Equation: y=5x
You can make the mixed number 5 2/3 an improper fraction, which is the number in the numerator is larger than the number in the denominator.
Multiply, Add, and Keep the denominator are the steps you need to take.
Multiply the denominator by the whole number and then add the number in the numerator, while keeping the denominator. 5*3+2=17>>> 17/3 is the improper fraction.
17/3 ÷ 2 is the resulting equation.
When you divide fractions, you have to multiply by the reciprocal. 2/1 is the whole number 2, but in fraction form. The reciprocal is 1/2 because your just flipping the numerator and the denominator.
17/3 * 1/2 is the new equation.
When you multiply fractions, you multiply straight across.
17/3 * 1/2 = 17/6 or 2 5/6 is your answer.
Answer:
7 mph
Step-by-step explanation:
21/3 = 7 so Xavier runs 7 miles per hour
Use Pythagorean theorem (a squared is equal to c squared minus b squared)
Where a is the unknown leg, c is the hypotenuse and b is the known leg
a^2 = 13^2-5^2 which is 144
Then square root one hundred and fourty four to get rid of the power on a
Square root of one hundred and fourty four is twelve
