Yes. Changing the the word problem into a function, you get 30x=y.
30 = Fixed Length
x = width
y = area
No matter what width (x) you choose, the area (y) is going to be a multiple of 30 (the fixed length) because with two numbers being multiplied, if there is a fixed number that will always be the multiple and not the multiplier. For example, 10 multiplied by every number 1-10 is going to be a multiple of 10.
10x1=10, 10x2=20, 10x3=30, etc
So if Tom chooses any of these widths (x) 5, 10, or 15, y (the area) will be a multiple of 30.
30(5)=150
30(10)=300
30(15)=450
So as we double 5 to get 10, our outcome is doubled 150 to 300 and so forth. Hope this helps.
What is the distance between (4, 7)(4,7)left parenthesis, 4, comma, 7, right parenthesis and (2, 2)(2,2)left parenthesis, 2, com
tester [92]
Answer: square root of 29
Step-by-step explanation:
Given the question :
Distance between (4, 7) and (2, 2)
Distance between two points is given by:
Distance = sqrt[(X2 - X1)² + (Y2 - Y1)²]
X1 = 4 ; Y1 = 7 ; X2 = 2 ; Y2 = 2
Distance = sqrt[(2 - 4)² + (2 - 7)²]
Distance = sqrt[(-2² + - 5²)]
= sqrt(4 + 25)
= sqrt(29)
Width = w
d)length in term of width
w + 5
b)
2(w + w + 5) > 30
2(2w +5)>30
c)
solve
2(2w +5) > 30
4w + 10 > 30
4w > 20
w > 5
Fill in the blank 9,15,24,39,63,102,165,_,432,699,1131
krok68 [10]
Answer:
The answer is 267.
Step-by-step explanation:
When you add 2 previous number, you will get the next number :
e.g
9 + 15 = 24
15 + 24 = 39
24 + 39 = 63
63 + 102 = 165
102 + 165 = <u>2</u><u>6</u><u>7</u>
165 + 267 = 432
True!
Two shapes are congruent if when turning, flipping or sliding one shape it can become another. This problem is illustrated in the Figure below. So, you can see that we have two triangles ΔJKL and ΔPQR. As you can see:
Given that two sides are equal to two other sides and one angle is equal to another one, then JL= PR. Accordingly, since all the sides are congruent, then the whole triangle JKL is congruent to PQR
