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Virty [35]
1 year ago
13

Hitung jarak di antara titik P(7, 1) dengan titik Q(7, 8) ​

Mathematics
1 answer:
MaRussiya [10]1 year ago
5 0

Answer:

7 units

Step-by-step explanation:

Distance between 2 points

=\sqrt{(y1 - y2)^{2}  + (x1 - x2) {}^{2} }

Thus, distance PQ

=\sqrt{(8 - 1)^{2}  + (7 - 7)^{2} }  \\ = \sqrt{7^{2} }  \\  = 7

Or you could simply take 8-1= 7 since both points have the same x-coordinate. Thus, PQ is a vertical line and the distance between them is due to the difference in their y-coordinate.

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If there are no notebooks purchased, then Eula may buy 5 binders. If no binders are bought, then Eula may buy 10 notebooks. If 7 notebooks are purchased, then one binder may be purchased; this will also cause Eula to have $2 extra (maybe for tax).
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1 year ago
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Which is a stretch of an exponential growth function? f(x) = Two-thirds (two-thirds) Superscript x f(x) = Three-halves (two-thir
Arte-miy333 [17]

Answer:

f(x) = Three-halves (three-halves) Superscript x

f(x) = Two-thirds (three-halves) Superscript x

Step-by-step explanation:

Since, a function in the form of f(x) = ab^x

Where, a and b are any constant,

is called exponential function,

There are two types of exponential function,

  • Growth function : If b > 1,
  • Decay function : if 0 < b < 1,

Since, In

f(x) =\frac{2}{3}(\frac{2}{3})^x

\frac{2}{3} < 1

Thus, it is a decay function.

in f(x) =\frac{3}{2}(\frac{2}{3})^x

\frac{2}{3} < 1

Thus, it is a decay function.

in f(x) =\frac{3}{2}(\frac{3}{2})^x

\frac{3}{2} > 1

Thus, it is a growth function.

in f(x) =\frac{2}{3}(\frac{3}{2})^x

\frac{3}{2} > 1

Thus, it is a growth function.

5 0
2 years ago
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In a particularly sunny month, Solaire's solar panels generated 110 percent as much power as expected.What fraction of the expec
vfiekz [6]

we are given

In a particularly sunny month, Solaire's solar panels generated 110 percent as much power as expected.

so, we need to change percent into fraction to get our value

we can write

110%=\frac{110}{100}

now, we can simplify it

and we get

110%=\frac{11}{10}

so,

Solaire's solar panels generate \frac{11}{10} of the expected amount of power.............Answer

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A swimmer can swim 50.2 meters in 1 minute. How far can he swim in half an hour? *
belka [17]

Answer:

1506meters

Step-by-step explanation:

1hour-60minutes

which means half an hour is 30minutes,so it's more like they are asking you to find how far the swimmer can swim in 30minutes

50.2-1min

x -30min

x=50.2×30

x=1506meters

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The gas mileage for a certain vehicle can be approximated by m=−0.05x2+3.5x−49, where x is the speed of the vehicle in mph. Dete
Whitepunk [10]

Answer:

<h2>14mph</h2>

Step-by-step explanation:

Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;

m = −0.05x²+3.5x−49

when m= 9

9 = −0.05x²+3.5x−49

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Dividing through by 5;

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x²+70x−980 - 180 = 0

x²+70x−1160 = 0

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a = 1, b = 70, c = -1160

x = -70±√70²-4(1)(-1160)/2

x = -70±√4900+4640)/2

x = -70±(√4900+4640)/2

x = -70±√9540/2

x =  -70±97.7/2

x = -70+97.7/2

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Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph

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