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HACTEHA [7]
3 years ago
14

Identify the function as a growth or decay function. y = (1/2)x

Mathematics
1 answer:
tangare [24]3 years ago
8 0

Answer:

This would be a decay function.

Step-by-step explanation:

When a function is a growth function that means that it is growing but a decay function means that it is getting smaller.

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The coordinates of rhombus ABCD are A(–4, –2), B(–2, 6), C(6, 8), and D(4, 0). What is the area of the rhombus? Round to the nea
a_sh-v [17]
Check the picture below.

so the rhombus has the diagonals of AC and BD, now keeping in mind that the diagonals bisect each, namely they cut each other in two equal halves, let's find the length of each.

\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
A(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-2})\qquad 
C(\stackrel{x_2}{6}~,~\stackrel{y_2}{8})\qquad \qquad 
%  distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
AC=\sqrt{[6-(-4)]^2+[8-(-2)]^2}\implies AC=\sqrt{(6+4)^2+(8+2)^2}
\\\\\\
AC=\sqrt{10^2+10^2}\implies AC=\sqrt{10^2(2)}\implies \boxed{AC=10\sqrt{2}}\\\\
-------------------------------

\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
B(\stackrel{x_1}{-2}~,~\stackrel{y_1}{6})\qquad 
D(\stackrel{x_2}{4}~,~\stackrel{y_2}{0})\qquad \qquad BD=\sqrt{[4-(-2)]^2+[0-6]^2}
\\\\\\
BD=\sqrt{(4+2)^2+(-6)^2}\implies BD=\sqrt{6^2+6^2}
\\\\\\
BD=\sqrt{6^2(2)}\implies \boxed{BD=6\sqrt{2}}

that simply means that each triangle has a side that is half of 10√2 and another side that's half of 6√2.

namely, each triangle has a "base" of 3√2, and a "height" of 5√2, keeping in mind that all triangles are congruent, then their area is,

\bf \stackrel{\textit{area of the four congruent triangles}}{4\left[ \cfrac{1}{2}(3\sqrt{2})(5\sqrt{2}) \right]\implies 4\left[ \cfrac{1}{2}(15\cdot (\sqrt{2})^2) \right]}\implies 4\left[ \cfrac{1}{2}(15\cdot 2) \right]
\\\\\\
4[15]\implies 60

7 0
3 years ago
Read 2 more answers
What the answer now question
Dmitry_Shevchenko [17]

Answer:94.2 m

Step-by-step explanation:

7 0
2 years ago
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Find a 101 of the sequence 5, 8, 11, ....<br><br> A. 302<br> B. 311<br> C. 305<br> D. 308
Dimas [21]

Answer:

305

Step-by-step explanation:

We are adding 3 each time

5+3 = 8

8+3 = 11

The formula for an arithmetic sequence is

an = a1+d(n-1) where a1 is the first term and d is the common difference

an = 5+3(n-1)

We want the 101 term

a101 = 5 +3(101-1)

      = 5+3(100)

    = 5+300

   = 305

5 0
3 years ago
Anyone for 10 points??!!!<br> The question is in the image<br> Thanks But answer ASAP!
ivanzaharov [21]
Bottom Side Surface Area:

(24 inches + 24 inches + 24 inches) * (30 inches)

= 72 inches * 30 inches

= 2160 inches squared


--------

Top Side Surface Area:

24 inches * 30 inches

= 720 inches squared

--------

Length of the diagonal (D) which needs to be measured:

*Use Pythaogras's theorem...

24^2 + 10^2 = D^2

D=√(24^2+10^2)

D=26 inches

------------

Measure the surface area of the two ramps:

26 inches * 30 inches * 2

= 1560 inches squared

-----------

Total surface area:

2160 inches squared + 720 inches squared + 1560 inches squared

= 4440 inches squared

---------

Answer:

4440 square inches
8 0
3 years ago
I need the answer before 8pm <br><br> - geometry
balu736 [363]

Answer:

16

Step-by-step explanation:

CE/2 = CF -->

32/2 = CF -->

16 = CF

8 0
3 years ago
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