The two numbers are -4 and -6.
- two negatives make a positive. in this case -4×-4 equals 16 and -6×-6 equals 36. these are the squares
- 16+36 equals 52
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Answer:
Part A) 
Part B) 
Step-by-step explanation:
Part A) What is the explicit rule for the number of residents
we know that
In this problem we have a exponential function of the form

where
a is the initial value
b is the base
r is the rate
(1+r)=b
so
Let
y ----> the number of residents
x is the time in years
we have
a=1,000 residents
r=1%=0.01
b=(1+0.01)=1.01
substitute

Part B) How many residents will there be in the town in Year 10?
For x=10 years
substitute in the equation


Answer:
The answer is (B) ⇒ Yes. AB is parallel to CD and AD is parallel to BC
Step-by-step explanation:
<em>There is an important fact about the parallel lines: </em>
- Parallel lines have equal slopes
<em>The rule of the slope of a line is:</em>
, where
and
are two points on the line
<em>Let us use the fact and the rule to solve the question</em>
∵ ABCD is a quadrilateral
∵ A = (0, 2) , B = (2, 6), C = (9, 6), D = (7, 2)
∵ The opposite sides are AB, CD and AD, BC
Find the slopes of the four sides to check the parallel sides
∵
∵ 
∵ The slope of AB = The slope of CD
∴ AB // CD
∵
∵ 
∵ The slope of AB = The slope of CD
∴ AD // BC
The correct answer is:
Yes. AB is parallel to CD and AD is parallel to BC ⇒ (B)
We know that an isosceles triangle has 2 equal sides.
We can represent the equal sides with x, and the base with y:
2x + y = 15.6
Given states that y = x - 3, so:
2x + x - 3 = 15.6
3x = 18.6
x = 6.2
y = 3.2
The sides are 6.2 m, and the base is 3.2 m.
Step-by-step explanation:
the small and the large triangles are similar triangles.
they have the same angles. and the corresponding sides correlate to each other with the same ratio for every pair of sides.
so,
28 / 82 = (2x + 8) / ((2x + 8) + (5x -4)) =
= (2x + 8) / (7x + 4)
(7x + 4)×28 = (2x + 8)×82
196x + 112 = 164x + 656
32x = 544
x = 17