1. Let x = #
2. "Five less than six times a number" can be written as: 6x - 5
3. "is at least" is the same as "greater than or equal to" and can be written as: >=
4. "nine subtracted from two times that number" can be written as: 2x - 9
5. the equation is: 6x - 5 >= 2x - 9
6. solve for x by grouping the x variable terms on one side and the constants on the other side:
6x - 5 >= 2x - 9
-2x +5 -2X +5
4x >= -4
7. divide each side by 4, and you get: x = -1
Answer:
D. 14°
Step-by-step explanation:
The Law of Sines tells you sides are in proportion to the sine of the opposite angle:
sin(A)/BC = sin(B)/AC
sin(A) = BC/AC·sin(B)
A = arcsin(BC/AC·sin(B)) = arcsin(7/28·sin(75°)) ≈ 13.974° ≈ 14°
<h3>Answer:</h3>
15.36 cm
<h3>Explanation:</h3>
The Pythagorean theorem tells you ...
... AC² = AB² + BC² . . . . . relation for face diagonal
... AD² = AC² + CD² . . . . . relation for space diagonal
Subsituting the expression for AC² given by the first equation, the second equaiton becomes ...
... AD² = AB² + BC² + CD²
... AD² = (100 cm²) + (100 cm²) + (36 cm²) = 236 cm²
Taking the square root, we have ...
... AD = √236 cm = 2√59 cm
... AD ≈ 15.36 cm
Answer:
Step-by-step explanation:
#1) 
∡C =62.49
Answer:
f(x) = 
Step-by-step explanation:
If 
is a root, then so is -
f(x) = 3(x + )(x - )(x - 2)
= 
= 3(
)
=
