Answer:
1x + 5
Step-by-step explanation:
Since the area of a rectangle of width w and length l is A = l*w,
length = Area / Width.
Here, x^2 + 8x + 15
length of rectangle = ----------------------
x + 3
Use synthetic division to perform the above. The coefficients of the quadratic are a = 1, b = 8 and c = 15, and the divisor is -3 (from (x + 3).
-3 / 1 8 15
-3 -15
-------------------------
1 5 0
Since the remainer is zero (0), -3 is a root and 1x + 5 is a factor of the quadratic. This factor, representing the length of the rectangle, is 1x + 5.
Next time, kindly share the answer choices. Thank you.
The side of the square = 16 in
When a circle is inscribed in a square, the length of each side of the square is equal to the diameter of the circle.
So, the diameter of the circle is equal to 16 in => radius = 8 in
Circumference = 2πr = 2π8 = 16π = 50.24
Looking at y=-%285%2F2%29x we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-5%2F2 and the y-intercept is b=0 note: y=-%285%2F2%29x really looks like y=-%285%2F2%29x%2B0
Since b=0 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis
So we have one point
Now since the slope is comprised of the "rise" over the "run" this means
slope=rise%2Frun
Also, because the slope is -5%2F2, this means:
rise%2Frun=-5%2F2
which shows us that the rise is -5 and the run is 2. This means that to go from point to point, we can go down 5 and over 2
So starting at , go down 5 units
and to the right 2 units to get to the next point
Now draw a line through these points to graph y=-%285%2F2%29x
So this is the graph of y=-%285%2F2%29x through the points
Hope this helps
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First write out the proportions/ratios, and use x for the unknown number.
2:5 = 34:x
Then, you find out how much more 34 is from 2, so divide 34 by 2.
The answer will be 17, which means, the proportions is 17 times of everything.
So to find out for the x, you multiply 5 by 17 since everything is 17 times more.
5 x 17 = 85
The final ratio will be:
2:5 = 34:85
We can say that 17 times more snow has snowed that year since comparing the January snowfall, it shows that 34 is 17 times more of 2. So to predict the total snowfall, we multiply the 5 by 17, since like I said before, the amount of snowfall is 17 times more than before. Therefore, 5 multiplied by 17 equals to 85. The predicted total snowfall for the entire year will be 85 inches.