Answer:
Measure of ∠P = 60°
Step-by-step explanation:
Consider triangle PMO.
Since PM is perpendicular to MO , hence m∠PMO = 90°
Also given that m∠MOP = m∠2 = 30°
And since sum of three angles of a triangle is 180°
⇒ m∠PMO + m∠MOP + m∠MPO = 180°
⇒m∠MPO = 180° - (m∠PMO + m∠MOP) = 180° - ( 90 + 30 ) = 60°
Hence m∠MPO that is m∠P is 60°
Answer:
The correct answer is x < 2 or x > -2. The graph would be a line between -2 and 2 with an open circle on both.
Step-by-step explanation:
To solve, first solve the equation for the absolute value portion of the equation.
2|x| + 1 < 5
2|x| < 4
|x| < 2
Now since there is an absolute value around it, we have to complete it for the positive and negative versions.
x < 2 OR x > -2
Answer:
Find the slope that passes between the points.
(y₂ - y₁) / (x₂ - x₁)
J(-4, -5)
K(-6, 3)
(3 - (-5)) / (-6 - (-4))
(3 + 5) / (-6 + 4)
8 / -2
-4
Step-by-step explanation:
there
If f(x)= 3x+2 and g(x)= 4x, then
f(x)+g(x) = 3x+2+4x
= 7x+2
For f(g(x)), you work from the inside and work your way out. Another way of thinking is to go from right to left. (Inside/out and right/left are the same simply using different wording).
So what is g(x)? 4x.
Now, you take 4x and plug it into the f(x).
** Math--> English translation:
Look at the f(x) equation. Wherever you see an x in the f(x), replace the x with 4x [because 4x is the g(x)]. Basically, plug the g(x) into f(x).
So:
f(g(x)) becomes
f(4x) becomes
3 (4x)+2 = 12x+2
** Disclaimer: Notation may be inaccurate.
That's your answer. (Usually you leave it as so, but if your instructor wants it factored, then proceed).
As for the third part, I am unsure of a clear answer, so I am unable to provide an answer at the time.
**********************
Hope that helped.
DISCLAIMER:
Always double check with a reliable source, as mistakes are a possibility. Never use this, or any, platform to cheat.
Answer:
?=16
Step-by-step explanation:
can't really explain this but I'm sure its right
