So the slope intercept form is y=mx+b where m is slope and b is y intercept
so 16x+2y=12
subtract 16x from both sides
2y=12-16x
divide both sides by 2
y=-8x+6
slope is -8 and y intercept is 6
The standard form for the equation of a circle is :
<span><span><span> (x−h)^</span>2</span>+<span><span>(y−k)^</span>2</span>=<span>r2</span></span><span> ----------- EQ(1)
</span><span> where </span><span>handk</span><span> are the </span><span>x and y</span><span> coordinates of the center of the circle and </span>r<span> is the radius.
</span> The center of the circle is the midpoint of the diameter.
So the midpoint of the diameter with endpoints at (−10,1)and(−8,5) is :
((−10+(−8))/2,(1+5)/2)=(−9,3)
So the point (−9,3) is the center of the circle.
Now, use the distance formula to find the radius of the circle:
r^2=(−10−(−9))^2+(1−3)^2=1+4=5
⇒r=√5
Subtituting h=−9, k=3 and r=√5 into EQ(1) gives :
(x+9)^2+(y−3)^2=5
Complete question :
Harry fills up his Jeep with gasoline and notes that the odometer reading is 23,568.7 miles. The next time he fills up his Jeep, he pays for 12.6 gallons of gasoline. He notes his odometer reading is 23,706.3 miles. How many miles per gallon did he get?
Answer:
10.9 miles per gallon
Step-by-step explanation:
Given that :
Odometer reading when filled up with gasoline = 23,568.7 miles
Odometer reading with 12.6 gallons of gasoline = 23,706.3 miles
Miles per gallon gotten :
(Current Odometer reading - reading when filled up) / gallon of gasoline
(23706.3 - 23568.7) / 12.6
= 10.920634
= 10.9 miles per gallon
<span><span>To find the area of a rectangle, multiply the length by the width. The formula is:</span><span>, where is the area, is the length, is the width, and · means multiply.</span><span>A square is a rectangle with 4 equal sides. To find the area of a square, multiply the length of one side by itself. The formula is:</span><span> or , where A is the area, s is the length of a side, and · means multiply.</span></span>
Answer: 0.73
Step-by-step explanation:
