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cestrela7 [59]
3 years ago
11

Does someone want to help me solve this problem

Mathematics
1 answer:
Hoochie [10]3 years ago
3 0

Answer:

(cx)2-(dy) 2

Step-by-step explanation:

Formula a2-b2= (a+b) (a-b)

By given formula

(cx)2 - (dy) 2 = (cx+dy) (cx-dy)

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A hiker starting at point P on a straight road wants to reach a forest cabin that is 2 km from a point Q, 3 km down the road fro
pantera1 [17]

Answer:

2.19 km

Step-by-step explanation:

If x is the distance she walks down the road before turning, then the total time is:

t = x/8 + √((3 − x)² + 2²) / 3

t = x/8 + √(9 − 6x + x² + 4) / 3

24t = 3x + 8√(13 − 6x + x²)

24t = 3x + 8(13 − 6x + x²)^½

Take derivative of both sides with respect to x.

24 dt/dx = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

When t is a minimum, dt/dx = 0.

0 = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

-3 = 4(13 − 6x + x²)^-½ (-6 + 2x)

3 / (6 − 2x) = 4(13 − 6x + x²)^-½

3 / (24 − 8x) = (13 − 6x + x²)^-½

(24 − 8x) / 3 = (13 − 6x + x²)^½

(24 − 8x)² / 9 = 13 − 6x + x²

576 − 384x + 64x² = 117 − 54x + 9x²

459 − 330x + 55x² = 0

Solve with quadratic formula.

x = [ 330 ± √((-330)² − 4(55)(459)) ] / 2(55)

x = (330 ± √7920) / 110

x = 2.19 or 3.81

Since 0 < x < 3, x = 2.19.

7 0
3 years ago
Cristobal took 3 hours to wash five cars at this rate how many cars could you watch over a period of 45 hours
Airida [17]
You could wash 75 cars at this rate because 45/3 equals 15. You would multiply 5 by 15 and get 75.
8 0
3 years ago
Find 4.5×10^7 over 1.5×10^-8 . write answer in scientific notation.
Sati [7]

Answer:

\large\boxed{\dfrac{4.5\times10^7}{1.5\times10^{-8}}=3\times10^{15}}

Step-by-step explanation:

The scientific notation:

a\times10^k\ \text{where}\ 1\leq a

We have:

\dfrac{4.5\times10^7}{1.5\times10^{-8}}=\dfrac{4.5}{1.5}\times\dfrac{10^7}{10^{-8}}

Use

\dfrac{a^n}{a^m}=a^{n-m}

=3\times10^{7-(-8)}=3\times10^{7+8}=3\times10^{15}

4 0
3 years ago
Three times a number w is less than 18. The inequality is
Alla [95]

Answer:

W<6

Step-by-step explanation:

3 times W

So 3W is less than < 18

Do 18 / 3 =6

3 0
3 years ago
PLEASE HELP!!<br> Describe the relationship between number 7 x 109 and 1.4 x 1012.
ladessa [460]

We are given numbers 7 \times 10^9 \ and \ 1.4 \times 10^{12}.

We need to describe the relationship between above given numbers.

Let us divide second number by first number.

1.4 \times 10^{12} ÷ 7 \times 10^9.

On dividing 1.4 by 7, we get 0.2.

And on dividing 10^{12} \ by\ 10^9, we get  10^{12-9} = 10^3

Therefore,

1.4 \times 10^{12} ÷ 7 \times 10^9 =0.2 \times 10^3 .

0.2 \times 10^3 =200.

<h3>Therefore, 1.4 \times 10^{12} is 200 times of 7 \times 10^9.</h3>
7 0
3 years ago
Read 2 more answers
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