I will give you everything I can do:
11)
Lets say Car A travels at x mph. That means Car B travels at x+2 mph.
Both of them are traveling towards each others, so we can say the total speed is 2x+2.
Now i takes 3 hrs and we know the distance.
Since R*T=D
Then 3(2x+2)=270
So 2x+2=90
2x=88
x=44
12)
To find perpendicular we want to find the opposite reciprocal of the original slope. Therefore the slope is 3/2.
Now we must find the equation of the line with the given variable.
First find b.
5=3/2*4+b
b = -1
So the equation of this line is:
y=3/2x-1
13) All work will be shown below.
6-3(-2-4x)=2(3(x-4)+7)
6+6+12x=2(3x-12+7)
12+12x=2(3x-5)
12+12x=6x-10
6x=-2
x = -1/3
14)
First we must find the amount each train traveled.
The speed of F train(Freight train)=x
The speed of P train(passenger train)=x+6
Their combined speed is 2x+6
It takes 2 hrs to cover 100 miles
So 2(2x+6)=100
2x+6=50
2x=44
x=22
So the freight train covered 44 miles and the passenger train covered 56 miles.
To find average speed you must do Total Distance/Total Time.
44/2 and 56/2
Which are 22 and 28.
The average speed of F train is 22 mph and average speed of P train is 28 mph.
15) Again opposite reciprocal.
3/5 -> -5/3
Work:
-4=-3*-5/3+b
-4=5+b
b=-9
y = -5/3x-9
16)
F=kx-kx0
First kx0 = 0
So F=kx
So x=F/k
The best apporximation for the volume of this ball is 382 cubic inches.
<h3>What is the volume of the ball?</h3>
The volume of the ball is calculated by the formula V = 4 / 3πr³. This formula is the same in the whole world.
Given
A regulation basketball has a diameter of about 9 in.
The radius of the ball is;
The volume of the ball is;
Hence, the best apporximation for the volume of this ball is 382 cubic inches.
To know more about volume click the link given below.
brainly.com/question/10647788
6= 4(z+9)/y+2
6y +12 =4(z+9)
6y=4(z+9) -12
y=(4(z+9)-12)/6
y=2z+18-6/3
y=2z+12 /3
The month of January has 31 days, so from January 1st to February 14th, there are 31 + 14 or 45 days, namely x = 45.
y = 3.06 * sin[ 0.017(45) - 1.40 ] + 12.23.
make sure your calculator is in Degree mode.
Answer:
<em>15</em>
Step-by-step explanation:
9x - 3 = 
2(9x - 3) = 5x + 1 + 19
18x - 6 = 5x + 20
13x = 26
x = 2
<em>GH</em> = 9(2) - 3 <em>= 15</em>
