Answer:
Option B.
Step-by-step explanation:
The given expression is

We need to find an expression which is equivalent to the given expression.
Combine like terms.


The simplified form of given expression is 8p-9. So, option A is incorrect.
In option B, the given expression


Using distributive property, we get

Combined liker terms.


It is same as the simplified form of given expression.
Therefore, the expression 3(p+(-3))+5p is equivalent to the given expression and correct option is B.
Answer: nope!
Step-by-step explanation: there are 4 quarts in a gallon and we can see by adding the mango juice, there will be no space!
Water (2 quarts) mango juice (2 quarts) equals a gallon
Ginger ale = one gallon
That’s already 2 gallons and we still have the 2 pints of pineapple juice!
Answer:
=135.53°
Step-by-step explanation:
The bearing that the captain should turn is the angle difference between the two islands from the position of the ship.
Let C be the position of the ship, then
AB is c=160
AC is b=220
BC is a=200
We use the cosine rule as follows:
c²=a²+b²-2ab Cos C
160²=200²+220²-2×200×220 Cos C
25600=88400-88000Cos C
88000 Cos C=88400-25600
88000Cos C=62800
Divide both sides by 88000.
Cos C=62800/88000
=0.7136
C=44.47°
He should turn (180°-44.47°)=135.53°
Answer:
h = 110.24 m
Step-by-step explanation:
It is given that,
A rock is thrown up from the ground at a velocity of 84 feet per second. The formula
gives the rock's height in feet after t second.
We need to find the maximum height of the rock. For maximum height put 
So,

Put t = 2.62 s in the equation of height. So,

So, the maximum height of the rock is 110.24 m.
So, these are actually pretty simple once you learn the equality used to solve for "x" and when to implement this method. You can use this equality to solve for a segment "x" anytime that two secant lines cutting through a circle come from the same point outside the circle.
Secant: by geometric definition is just a straight line that cuts a curve into multiple pieces.
I did one of them for you hopefully you can use my work for "a" to help you solve for "b".
For a. I got x=7.