69 is the measurement of angle 2
Answer:
-2.6, -0.4, 0, 1.2
Step-by-step explanation:
tell me if i'm wrong :)
Answer:answer is a (x+8)^2=86
Step-by-step explanation:
x+8=±√
86
2 Break down the problem into these 2 equations.
x+8=\sqrt{86}x+8=√
86
x+8=-\sqrt{86}x+8=−√
86
3 Solve the 1st equation: x+8=\sqrt{86}x+8=√
86
.
x=\sqrt{86}-8x=√
86
−8
4 Solve the 2nd equation: x+8=-\sqrt{86}x+8=−√
86
.
x=-\sqrt{86}-8x=−√
86
−8
5 Collect all solutions.
x=\sqrt{86}-8,-\sqrt{86}-8x=√
86
−8,−√
86
−8
x
2
+16x−22=0
2 Use the Quadratic Formula.
x=\frac{-16+2\sqrt{86}}{2},\frac{-16-2\sqrt{86}}{2}x=
2
−16+2√
86
,
2
−16−2√
86
3 Simplify solutions.
x=-8+\sqrt{86},-8-\sqrt{86}x=−8+√
86
,−8−√
86
Answer:
<em>The compound inequality that shows the voltage amount the necessary range is </em>
Step-by-step explanation:
Loni needs between 3.5 and 7.2 volts of energy, not inclusive, to make an experiment work correctly.
That means, <u>the voltage amount should be either greater than 3.5 volts or less than 7.2 volts</u>.
Suppose, the amount of voltage is volts to make the experiment work correctly.
Now, Voltage amount is greater than 3.5 volts means: or
and voltage amount is less than 7.2 volts means:
Thus, the compound inequality by combining the above two inequalities will be:
Answer:
Step-by-step explanation:
PART A
The Pythagoras theorem is expressed as
Hypotenuse^2 = opposite side^2 + adjacent side^2
PART 2
The hypotenuse is the longest side of the triangle. Looking at the given triangle, the longest side is the side with the length of 7. Therefore, hypotenuse = 7
PART C
To determine x, we will apply the Pythagoras theorem as stated above.
Opposite side = √14
Adjacent side = x
Therefore
7^2 = x^2 + (√14)^2
49 = x^2 + 14
x^2 = 49-14 = 35
Taking square root of both sides of the equation, it becomes
x = √35
x = 5.92