a rectangular corn hole area at the recreation center has a width of 5 feet and a length of 10 feet. if a uniform amount is adde
2 answers:
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Answer:
The equation of the line with slope 6 and containing the point (0, 4) will be:
The graph of the line y = 6x+4 is attached below.
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given
- The slope m = 6
- The point (0, 4)
The y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
The point (0, 4) indicates that:
at x = 0, y = 4
Thus, the y-intercept b = 4
now substituting b = 4 and m = 6 in the slope-intercept form of the line equation
Thus, the equation of the line with slope 6 and containing the point (0, 4) will be:
The graph of the line y = 6x+4 is attached below.
Answer:
hypotenuse = 13.0 cm
Step-by-step explanation:
Given the dimensions of a right triangle whose legs have measures of 13 cm and 1 cm, we can use the Pythagorean Theorem to find the measure of the triangle's hypotenuse.
The <u>Pythagorean Theorem</u> states that the squared measure of a right triangle's hypotenuse is equal to the sum of the squared lengths of its legs. In other words:
Pythagorean Theorem: c² = a² + b²
Let c = hypotenuse
a = Leg₁ = 1 cm
b = Leg₂ = 13 cm
Substitute these values into the given formula to find the measure of the hypotenuse, c:
c² = a² + b²
c² = ( 1 )² + (13)²
c² = 1 + 169
c² = 170
Next, take the square root of c² and 170 to isolate c:
c = 13.04 or 13.0 cm
Therefore, the length of the hypotenuse is 13.0 cm.