Hello! The midpoint of (8,7) and (4,3) Is (7.5, 3.5)
Hope this helps! And have a great day!
Answer: The Millers need 15 gallons of water for 6 minutes.
Lets start by finding how much water is needed for 1 min shower.
<span>
25 gallons of water is used for 10 min shower:
</span>10 mins = 25 gallons <span>
To find 1 min shower, we will divide the 25 gallons of water by 10.
</span><span>
10 mins = 25 gallons </span>← Divide by 10 on both sides<span>
÷ 10 ÷ 10
1 min = 2.5 gallons
Now that we know the Millers need 2.5 gallons for every 1 minute of shower, we can find 6 minutes of shower by multiplying by 6.
1 min = 2.5 gallons</span> ← Multiply 6 on both sides<span>
x6 x6
6 min = 15 gallons
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Answer: The Millers need 15 gallons of water for 6 minutes.
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The ratio using fraction notation of $5 to $35 would be 7.
<h3>What is a fraction?</h3>
A fraction represents a part of a number or any number of equal parts.
To convert a ratio into a fraction,
We will simply use the first number as the numerator and the second number as the denominator.
So the fraction = 35/5.
= 7
Since there are no more common factors, the fraction is in its lowest form which is 7.
Learn more about fractions;
brainly.com/question/5168017
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4) You know slope-intercept form is y=mx+b. So using these two given points, you can find the slope!
(-8,5) (-3,10) [Use the y1-y2 over x1-x2 formula to solve for slope]
10 - 5 5
--------- = ----- = 1
-3-(-8) 5
Hurray! You got a slope of one. Now substitute this back into your original equation:
y=mx+b --> y=1x+b
Next, we find what our "b" is, or what our y-intercept is:
Using one of the previous points given, substitute them into the new equation:
[I used the point (-3, 10) ]
y=1x+b
10=1(-3)+b SUBSTITUTE
10=-3+b MULTIPLY
10=-3+b
+3 +3 ADD
----------
13=b SIMPLIFY
So, now we have our y-intercept. Use this and plug it into the equation:
y=1x+b --> y=1x+13
y=1x+13 is our final answer.
5) So for perpendicular lines, your slope will be the opposite reciprocal of the original slope. (Ex: Slope is 2, but perpendicular slope is -1/2)
We have the equation y= 3x-1, so find the reciprocal slope!
--> y=-1/3x-1
Good! Now we take our given point, (9, -4) and plug it into the new equation:
y=-1/3x-1
-4=-1/3(9)+b SUBSTITUTE and revert "-1" to "b", for we are trying to find the y- -4=-3+b intercept of our perpendicular equation.
+3 +3 ADD
--------
-1=b SIMPLIFY
So, our final answer is y=-1/3x+(-1)
6) I don't know, sorry! :(
