The altitude of the right triangle is the geometric mean of the 2 parts of the side it separates.
a. The answer would be sqrt(18*32)=24
The question to the second question can be answered by using the Pythagorean theorem.
32^2+24^2=1600=40^2
b. The answer would be sqrt40^2=40
Answer:
#1
Zeroes: x = 4, x = -6
The vertex is at ( -1 , 50 )
Step-by-step explanation:
I'll do the first one, you try the rest
All of these are written in y = a(x - x1)(x - x2) where x1 and x2 are given and x are the two different zeroes (or x-intercepts)
f(x) = -2(x-4)(x+6)
The zeroes are x - 4 = 0 and x + 6 = 0 if you solve, you get 4 and -6
Zeroes: x = 4, x = -6
The x value of the vertex can be found using -b/2a (in the form ax^2 + bx + c)
First expand f(x)
-2(x^2 + 2x - 24) => -2x^2 - 4x + 48
b = -4 and a = -2
-(-4)/2(-2) = 4/-4 = -1
the x-value of the vertex is -1
Now substitute -1 as x to find the y-value of the vertex
-2(-1-4)(-1+6) = -2(-5)(5) = 50 <= y-value of vertex
The vertex is at ( -1 , 50 )
Answer:
0.95 chance or 95% chance.
Step-by-step explanation:
If there is a 0.05 chance of there being and earthquake subtract 0.05 from 1 to find out what the chance of not having an earthquake it. Since probability is a fraction out of a whole percentages can be used to find the answer.
Answer:
Solution given:
a = 12, b = 5, c = 9
We have
: a² = b² + c² – 2bc cos A
12²=5²+9²-2×5×9 cos A
12²-25-81=-90 cos A
cos A=38/-90
A=cos -1(-19/45)
<u>A=115</u>°
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