Answer:
Step-by-step explanation:
5. 17.25-8.25= 9
6. 7+8=15
7. 2*8=16 or 2*9=18
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
<h3>The dimensions of the gym floor could be 150 feet by 120 feet</h3><h3>The dimensions of the gym floor could be 225 feet by 180 feet</h3>
<em><u>Solution:</u></em>
Given that,
The dimensions of the swimming pool and the gym are proportional
The pool is 75 feet long by 60 feet wide
To find: set of possible dimensions for the gym
To determine the possible dimensions for the gym, you would use the same number to multiply both 75 and 60
<em><u>One set of dimensions are:</u></em>
75 x 2 = 150
60 x 2 = 120
The dimensions of the gym floor could be 150 feet by 120 feet
<em><u>Other set of dimensions:</u></em>
75 x 3 = 225
60 x 3 = 180
The dimensions of the gym floor could be 225 feet by 180 feet
Answer: x = 9
Mel's mistake was in the last step, she multiplied by 2 instead of dividing by 2
Step-by-step explanation:
2x + 1 = 19
Subtract 1 from each side
2x = 18
Divide by 2
x = 9
