Answer:
x = 2√58
Step-by-step explanation:
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs and c is the hypotenuse of a right triangle)
Find the height of the triangle by using the base and hypotenuse of the smaller interior triangle and Pythagoras' Theorem:
a² + b² = c²
⇒ a² + 6² = (6√2)²
⇒ a² = (6√2)² - 6²
⇒ a² = 36
⇒ a = 6
Now we have the base and height of the larger interior triangle, we can calculate x:
a² + b² = c²
⇒ 6² + 14² = x²
⇒ x² = 232
⇒ x = √232
⇒ x = 2√58
Answer:
median is 24
first quartile is 21
third quartileis 31
interquartile range 10
Step-by-step explanation:
median is 24
first quartile is 21
third quartileis 31
interquartile range 10
Answer:
12x² - 4x - 8
Step-by-step explanation:
Use FOIL method
(3x + 2)(4x - 4) = 3x*4x + 3x*(-4) + 2 *4x + 2*(-4)
= 12x² - 12x + 8x - 8 {add like terms}
= 12x² - 4x - 8
Hint: 3x * 4x -----> Multiply the coefficients = 3 *4 = 12 and then multiply the variables and for multiplying the two variable, add the powers
x*x =
3x * 4x = 12x²
Step-by-step explanation:
Divide the difference between the y-axis points by the difference between the x-axis points
Answer:
You multiply or divide by 10 conveniently
Step-by-step explanation:
For the first expression, remember that
