Answer:
25
Step-by-step explanation:
The formula for the Pythagorean Theorem is:
Now,
A=7
B=24
7x7=49
24x24=576
Add,
576+49=625
Last,
Take the square root of 625
The square root of 625 is 25
c=25
To Check if the hypotenuse is correct:
7x7=49
24x24=576
25x25=625
49+576=625
625=625,
Therefore the hypotenuse is 25.
Answer:
One equation can be y = 3/4X +2
Step-by-step explanation:
Any equation that has a slope of 3/4 will be parallel to the line 4Y = 3X + 5 because the slope is the same. This can also be shown visually using any graphing calculator.
Answer:
D. 3x² + 19x - 14
Step-by-step explanation:
Use FOIL to find the answer.
First: x * 3x = 3x²
Outer: -2 * x = -2x
Inner: 3x * 7 = 21x
Last: 7 * -2 = -14
Form the equation:
3x² - 2x + 21x - 14
Combine like terms.
3x² + 19x - 14
Answer:
A = 222 units^2
Step-by-step explanation:
To find the area of this trapezoid, first draw an imaginary horizontal line parallel to AD and connecting C with AB (Call this point E). Below this line we have the triangle CEB with hypotenuse 13 units and vertical side (21 - 16) units, or 5 units. Then the width of the entire figure shown can be obtainied using the Pythagorean Theorem:
(5 units)^2 + CE^2 = (13 units)^2, or 25 + CE^2 = 169. Solving this for CE, we get |CE| = 12.
The area of this trapezoid is
A = (average vertical length)(width), which here is:
(21 + 16) units
A = --------------------- * (12 units), which simplifies to:
2
A = (37/2 units)(12 units) = A = 37*6 units = A = 222 units^2
