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Simora [160]
2 years ago
9

One tank is filling at a rate of 5 gallon per 7 hour. A second tank is 8 10

Mathematics
1 answer:
seraphim [82]2 years ago
8 0

Answer:

the second one

Step-by-step explanation:

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Barack walks 2 kilometers south and then x kilometers east. ​ ​He ends 5 kilometers away from his starting position. ​ ​ Find x
amid [387]

Answer:

4.6 km

Step-by-step explanation:

-This is a Pythagorean Theorem problem where the distances walked are effectively the base and height of the imaginary right triangle thereof.

#Apply Pythagorean theorem to solve:

b^2+h^2=H^2\\\\2^2+x^2=5^2\\\\x^2=5^2-2^2=21\\\\x=\sqrt{21}\\\\x=4.58\  km

\approx 4.6\ km

Hence, the distance x is 4.6 km

7 0
2 years ago
An 18ft ladder leans against a house, reaching a point 14ft above the ground. How far is the foot of the ladder from the bottom
Arisa [49]

Answer: a^2+b^2=c^2

Step-by-step explanation: (18^2=14^2+c^2)=324=196+c^2

324-196=128 and the square root of 128 is 8 radical 2 or in decimal form 11.31

5 0
3 years ago
Read 2 more answers
Evaluate the function f(x)=x^2+6x+2 at the given values of the independent variable and simplify.
____ [38]

Answer:

a) 18

b)x^2+10x+18

c)x^2 -6x+2

Step-by-step explanation:

This is a case of plugging in the value into f(x).

a) f(-8)= -8^2 + 6(-8) +2

f(-8)= 64 + (-48) +2

f(-8)=64 + (-46)

f(-8)=18

b)  f(x+2)= (x+2)^2+6(x+2)+2

So here I'll take a break to explain what's going on, because x+2 is a binomial meaning two terms and it is being squared I have to multiply the whole thing by itself. Meaning: (x+2) x (x+2), this is also known as foiling!! and for the next part its distributing 6 into x and 2.

    f(x+2)= x^2+4x+4+6x+12+2

I'll reorder it

 f(x+2)= x^2+4x+6x+12+2+4

    f(x+2)= x^2+10x+18

c) f(-x)= -x^2+6(-x) +2

f(-x)= x^2 -6x+2

6 0
2 years ago
3 times a number is 54 less than the square of that number. Find the negative solution.
son4ous [18]

Answer:

-6

Step-by-step explanation:

3n = n² - 54

n² - 3n - 54 = 0

n² - 9n + 6n - 54 = 0

n(n - 9) + 6(n - 9) = 0

(n - 9)(n + 6) = 0

n = 9 , -6

5 0
2 years ago
A plant cell has length 6.6 times 10 Superscript negative 6 m and width 2.2 times 10 Superscript negative 6 m. What is the ratio
Vinvika [58]

The length/width ratio is 3/1 .

<em>l</em> = 6.6 × 10⁻⁶ m; <em>w</em> = 2.2 × 10⁻⁶ m

<em>l</em>/<em>w</em> = 6.6 × 10⁻⁶ m/2.2 × 10⁻⁶ m = 3/1

8 0
3 years ago
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