Answer: AC = 7√3
tan 30° = 
=> 
Step-by-step explanation:
Answer: the total amount of money that they wanted to raise is $2400
Step-by-step explanation:
Let x represent the total amount of money that Keelan and her friends want to raise.
After the first event they raise $240 which is 10% of the total amount they want to raise. The amount of money that raised after the first event is expressed as
10/100 × x = 0.1 × x = 0.1x
Therefore,
0.1x = 240
Dividing both sides of the equation by 0.1, it becomes
x = 240/0.1
x = $2400
Answer:
4x+5y-34=0
Step-by-step explanation:
The slope-intercept form of a line is y=mx+b where m is the slope and b is the y-intercept.
My goal is to put in in this form first. Then I will aim to put it in general form, ax+by+c=0.
So let's give it a go:
m is the change of y over the change of x.
To compute this I'm going to line my points up and subtract vertically, then put 2nd difference over 1st difference. Like this:
( 1 , 6)
-(6 , 2)
----------
-5 4
So the slope is 4/-5 or -4/5.
So m=-4/5.
Now we are going to find b given y=mx+b and m=-4/5 and we have a point (x,y)=(1,6) [didn't matter what point you chose here].
6=-4/5 (1)+b
6=-4/5 +b
Add 4/5 on both sides:
6+4/5=b
30/5+4/5=b
34/5=b
So the y-intercept is 34/5.
The equation in slope-intercept form is:
y=-4/5 x + 34/5.
In general form, it is sometimes the goal to make all of your coefficients integers so let's do that. To get rid of the fractions, I'm going to multiply both sides by 5. This clears the 5's that were on bottom since 5/5=1.
5y=-4x+34
Now add 4x on both sides:
4x+5y=34 This is standard form.
Subtract 34 on both sides:
4x+5y-34=0
The y-intercept of the function is +5. The average rate is 1/3. The domain is 20.4 miles/hour.
