Answer:
c
Step-by-step explanation:
An equation does not always have a solution. Sometimes, an equation can have a variable that does not equal the remaining value on the other side. For example, root negative x could never equal a number squared.
√-x ≠ 14²
This equation cannot have a solution because you can't square any number to get a negative solution. Therefore, x= no solution.
First you’d start off by finding the volume of the rectangular prism on the bottom. The formula for this is lwh or (length*width*height) so you’d plug in the numbers and get 4*4*5 which multiplies out to be 80inches cubed. Next you’d have to find the volume of the pyramid by using the formula lwh/3 or ((length*width*height)/3) so it would be ((4*4*6)/3) and that equals 32inches cubed. Finally, you add the 2 volumes together so 80inches cubed+32inches cubed and get 112inches cubed. Hope this helps
Answer:
y=−1/5x+2
Step-by-step explanation:
First, you must find the midpoint of the segment, the formula for which is
(x1+x22,y1+y22)
. This gives (−5,3)
as the midpoint. This is the point at which the segment will be bisected.
Next, since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula
y2−y1x2−x1
which gives us a slope of 5
Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of
5 is −1/5
We now know that the perpendicular travels through the point (−5,3)
and has a slope of −1/5
Solve for the unknown b in y=mx+b
3=−1/5(−5)+b⇒3=1+b⇒2=b
Therefore, the equation of the perpendicular bisector is
y=−1/5x+2
Amount = A = $50(1 + 0.03/12)^(12*m), where m is the # of months. Note that A= $50 at the beginning (when m=0). Note that I am assuming that "3%" is ANNUAL interest.
If, on the other hand, "3%" is monthly (very unlikely!!), then:
Amount = A = $50(1 + 0.03)^(m)