As you haven't specifically stated what exactly the question is, I will be assuming that the question is most likely asking for what the dimensions ( length and width ) of the rectangle is. With this in mind, I will be answering the question so here I go...
STEP-BY-STEP SOLUTION:
Let's solve this problem step-by-step.
Let's first establish the formula for the area of a rectangle as displayed below:
Area = Length × Width
A = lw
From this, we will establish the values for each of the parts in the area formula using the information given in the problem as displayed below:
A = 72cm^2
l = w + 6
w = w
Now, we will substitute these values into the area formula and then make ( w ) the subject as displayed below:
A = lw
72 = ( w + 6 ) ( w )
72 = w ( w + 6 )
72 = w^2 + 6w
0 = w^2 + 6w - 72
0 = w^2 + 12w - 6w - 72
0 = w ( w + 12 ) - 6 ( w + 12 )
0 = ( w + 12 ) ( w - 6 )
w + 12 = 0
w = 0 - 12
w = - 12
w - 6 = 0
w = 0 + 6
w = 6
As the answer must be positive as measurements are always positive, the answer must be the option which is a positive number.
Therefore:
w = 6
Using the equation we made for the length before, we can substitute the value of ( w ) to obtain the value of the length as displayed below:
l = w + 6
l = ( 6 ) + 6
l = 12
FINAL ANSWER:
The dimensions of the rectangle are:
Length = 12cm
Width = 6cm
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We have that
point C(-2,-4)
point A(-4,-2)
we know that
the equation of a line in the intercept form is
y=mx+b
Step 1
find slope m
m=(y2-y1)/(x2-x1)
m=(-2+4)/(-4+2)------> 2/-2-------> m=-1
Step 2
find the value of b
with m=-1 and point C(-2,-4)
-4=-1*(-2)+b--------> -4=2+b-------> b=-6
y=mx+b
y=-x-6
the answer is
y=-x-6
The answer would be 252. Here’s why:
You always round up when it’s five (half) or above. 4 or Lower will round it down. In our question here, 62.5 would be rounded up, and 4.08 will be rounded down. This lets us rewrite the question as 63 times 4, and we get 252.
Hope this helps!
Answer:
15 times
Step-by-step explanation:
there are 6 numbers on a die so divide 90 by 6 and you get 15
There is a 25% chance that the student will be sociology
