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noname [10]
3 years ago
12

Which is the graph of f(x)=1/4(4)x

Mathematics
1 answer:
Dovator [93]3 years ago
8 0

Answer:

Please, see attached picture

Step-by-step explanation:

We can easily solve this question by using a graphing calculator or any plotting tool.

The equation is

f(x) = (1/4)*(4)^(x)

Which is an exponential function, that grows rapidly to infinity as x increases.

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A circle passes through points A(7,4), B(10,6), C(12,3). Show that AC must be the diameter of the circle.
Artist 52 [7]

so we have three points, A, B and C, if indeed AC is the diameter of the circle, then half the distance of AC is its radius, and the midpoint of AC is the center of the circle, morever, since B is also on the circle, the distance from B to the center must be the same radius distance.

in short, half the distance of AC must be equals to the distance of B to the midpoint of AC, if indeed AC is the diameter.

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{12}~,~\stackrel{y_2}{3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{12+7}{2}~~,~~\cfrac{3+4}{2} \right)\implies \left( \cfrac{19}{2}~~,~~\cfrac{7}{2} \right)=M\impliedby \textit{center of the circle}

now, let's check the distance from say A to the center, and check the distance of B to the center, if it's indeed the center, they'll be the same and thus AC its diameter.

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AM=\sqrt{\left( \frac{19}{2}-7 \right)^2+\left( \frac{7}{2}-4 \right)^2} \\\\\\ AM=\sqrt{\left( \frac{5}{2}\right)^2+\left( -\frac{1}{2} \right)^2}\implies \boxed{AM\approx 2.549509756796392} \\\\[-0.35em] ~\dotfill

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{10}~,~\stackrel{y_1}{6})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}}) \\\\\\ BM=\sqrt{\left( \frac{19}{2}-10 \right)^2+\left( \frac{7}{2}-6 \right)^2} \\\\\\ BM=\sqrt{\left( -\frac{1}{2}\right)^2+\left( -\frac{5}{2} \right)^2}\implies \boxed{BM\approx 2.549509756796392}

6 0
3 years ago
On squared paper draw a 7 x 7 square. Divide it up into nine smaller squares.​
wariber [46]

Answer/Step-by-step explanation:

Each square would be about 0.78 by 0.78

7 0
2 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
AysviL [449]

Answer:

Hypotenuse      legs

6 units       arrowBoth         5 units, 1 unit

5 units        arrowBoth        2 units, 3 units

8 units         arrowBoth       5 units, 2 units

3 units          arrowBoth       1 unit, 2 unit

Step-by-step explanation:

i got this because if u add

5+1= 6 units

2+3=5 units

5+2=8 units

1+2=3 units

6 0
3 years ago
Read 2 more answers
I don't understand the concept of how to fine the answer ??
igor_vitrenko [27]
You need to find out how many pints are in 2,4,6,8 quarts. by the way 1 quart equals 2 pints. so to start you off. 2 quarts would be 4 pints and so on
4 0
3 years ago
18 tens 20 ones equal what hundreds
uysha [10]
200 is the answer so it would equal to 2 hundreds
8 0
3 years ago
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