The length of the SMALLER square is:
B. 5
Basically I tested each answer choice and see if all the information matches it.
Lets check how my answer is correct:
We know that:
The length of the bigger square is 3 more than the smaller square’s length.
The areas of both squares add up to 89 cm^2
length of the SMALLER square is: 5 cm
length of the LARGER square:
5 + 3 = 8 cm
Area of smaller square:
5^2 = 25 cm^2
Area of bigger square:
8^2 = 64 cm^2
ADD UP BOTH AREAS OF SQUARES:
25 + 64 = 89 cm^2
Hope this helps!
Answer:
y=−2x+6
Step-by-step explanation:
the equation of a line in slope-intercept form is. y=−2x+6 is the equation.
parallel lines have negative reciprocal slopes
so 1/2 becomes -2
point slope form
y-y1 =m(x-x1)
y-0 = -2(x--4)
y =-2(x+4)
y=-2x-8
Answer: choice D) 4 + 3i
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Plug in the initial value z = 2 + 3i. Simplify.
f(z) = z^2 + c
f(2+3i) = (2+3i)^2 + c
f(2+3i) = (2+3i)*(2+3i) + c
f(2+3i) = 2(2+3i) + 3i(2+3i) + c
f(2+3i) = 4 + 6i + 6i + 9i^2 + c
f(2+3i) = 4 + 12i + 9i^2 + c
f(2+3i) = 4 + 12i + 9(-1) + c
f(2+3i) = 4 + 12i - 9 + c
f(2+3i) = -5 + 12i + c
The initial z value is z = 2+3i, which when plugged into f(z) leads to the term z1 = -1+15i. The input is 2+3i and the output is -1+15i
Set f(2+3i) equal to the output z1 = -1+15i and solve for c
f(2+3i) = z1
-5 + 12i + c = -1 + 15i
c = -1 + 15i + 5 - 12i
c = 4 + 3i
So if c = 4 + 3i, then f(z) = z^2 + c will have f(2+3i) = -1 + 15i
Answer:
After simplifying, our answer is 10
Step-by-step explanation:
20-31 gives the distance between 20 and 30
Now, for -5 and -15
The similar expression to write will be -5-(-15)
Simplifying this, we have;
That would be -5+15 = 10
