Answer: 80
Step-by-step explanation: took the test
A = l x w
so you know that the length is 3m longer than the width, so you could use a formula to represent that
w = l + 3
you then substitute the second equation into the first to solve for l
70 = l x (l +3)
70 = l^2 + 3l
you could then rearrange the formula and solve for l using the quadratic formula
0 = l^2 + 3l - 70
l = -3 +- (square root (3)^2 - 4(1)(70)) / 2(1)
l = -3 +- (square root 9 + 280) / 2
l = -3 +- (square root 289) / 2
l = -3 +- 17 / 2
then you solve for the two seperate roots
l = -3 + 17 /2
l = 14 / 2
l = 7
or
l = -3 - 17 / 2
l = -20 / 2
l = -10
since a length cannot be negative, this root is not viable. therefore l = 7
to solve for w you would use
w = l + 3
w = 7 + 3
w = 10
hope this helps! if you did not understand a step or concept please let me know!
Answer:
(-12, -12)
Step-by-step explanation:
Since the scale factor is 3, you would multiply the x-coordinate and y-coordinate by it.
-4×3=-12
Hope this helps!!
Answer:
62°
Step-by-step explanation:
In an isosceles triangle, angle opposite to equal sides are equal.
So according to angle sum property :
x + x + 56 = 180
2x + 56 = 180
x = 180 - 56 /2
x = 62°
Answer: The answer is 896.
Step-by-step explanation: There are several ways to answer this. If you multiply both the 28 and the 32 you get the final answer 896 quickly.
However there are different ways to get the answer that aren't as quick as this one.
First we multiply.
<em>30*20=600 </em>
Then we continue multiplying.
<em>8*30=240 </em>
<em>20*2=40 </em>
<em>8*2=16 </em>
Then we add all the values up starting with the hundreds
<em>600+240=840. </em>
<em>40+16=56</em>
Finally we add both of the values up and we get our answer <em>840+56=896. </em>
<u><em>A=896 Hope this helps!</em></u>
