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3 years ago

10

Please this is URGENT!!!!!! need it in the next 5 mins!!!!!!!

1 answer:

Tanya [424]3 years ago

4 0

Answer:

distance: 7.81 miles

Explanation:

<u>simply use distance formula:</u> $\sf \sqrt{(y_2 -y_1)^2 + (x_2-x_1)^2}$

coordinates: (4, 3), (10, 8)

<u>using the equation:</u>

$\hookrightarrow \sf \sqrt{(8-3)^2+(10-4)^2}$

$\hookrightarrow \sf \sqrt{(5)^2+(6)^2}$

$\hookrightarrow \sf \sqrt{25+36}$

$\hookrightarrow \sf \sqrt{61}$

$\hookrightarrow \sf 7.81 \ miles$

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For each sequence, find the common difference.

Juliette [100K]

Answer:

first is 18

second is 36

third is -10

fourth is -10

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3 years ago

The exponential function f(x) = 3(5)x grows by a factor of 25 between x = 1 and x = 3. What factor does it grow by between x = 5

Delvig [45]

Answer:

B) 25

Step-by-step explanation:

Given exponential function:

$f(x)=3(5)^x$

The growth factor between $x=1$ and $x=3$ is 25.

To find the growth factor between $x=5$ and $x=7$

Solution:

The growth factor of an exponential function in the interval $x=a$ and $x=b$ is given by :

$G=\frac{f(b)}{f(a)}$

We can check this by plugging in the given points.

The growth factor between $x=1$ and $x=3$ would be calculated as:

$G=\frac{f(3)}{f(1)}$

$f(3)=3(5)^3$

$f(1)=3(5)^1$

Plugging in values.

$G=\frac{3(5)^3}{3(5)^1}$

$G=\frac{(5)^3}{(5)^1}$ (On canceling the common terms)

$G=(5)^{(3-1)}$ (Using quotient property of exponents $\frac{a^b}{a^c}=a^{(b-c)}$ )

$G=(5)^{2}$

∴ $G=25$

Similarly the growth factor between $x=5$ and $x=7$ would be:

$G=\frac{f(7)}{f(5)}$

$f(7)=3(5)^7$

$f(5)=3(5)^5$

Plugging in values.

$G=\frac{3(5)^7}{3(5)^5}$

$G=\frac{(5)^7}{(5)^5}$ (On canceling the common terms)

$G=(5)^{(7-5)}$ (Using quotient property of exponents $\frac{a^b}{a^c}=a^{(b-c)}$ )

$G=(5)^{2}$

∴ $G=25$

Thus, the growth factor remains the same which is =25.

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3 years ago

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NeX [460]

Answer:

Step-by-step explanation:

There's 24 students so I would do 5 × 24 which equals 120 so 420 - 120 is 300. Then 2 × 24 is 48. Now 300-48 is 252. They would have $252 left.

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3 years ago

The volume of a? cone-shaped hole is 49 pi ft cubed . If the hole is 3 ft? deep, what is the radius of the? hole?

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3 years ago

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Vlad1618 [11]

Answer:

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Step-by-step explanation:

(-40) divided by 5 is (-8)

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3 years ago

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