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oksano4ka [1.4K]
2 years ago
10

What expression is represented by the factorization below (3x+2) (3x-2)

Mathematics
1 answer:
Naily [24]2 years ago
3 0

Answer:

9x^2-6x+6x-4

Step-by-step explanation:

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It takes 3 hours to paddle a kayak 12 miles downstream and 4 hours for the return trip upstream. Find the rate of the kayak in s
Furkat [3]

The rate of the kayak in still water is 3.5 mph

<h3><u>Solution:</u></h3>

Given that It takes 3 hours to paddle a kayak 12 miles downstream

Distance covered in downstream = 12 miles

Time taken to cover downstream = 3 hours

Also given that it takes 4 hours for the return trip upstream

Distance covered in upstream = 12 miles

Time taken to cover upstream = 4 hours

<em><u>Formula to remember:</u></em>

If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then: Speed downstream = (u + v) km/hr and Speed upstream = (u - v) km/hr

Let the speed of Kayak in still water = x mph

And The speed of current = y mph

For downstream:

Speed downstream = x + y

We know that speed = \frac{distance}{time}

\frac{distance}{time} = x + y

x + y = \frac{12}{3}

x + y = 4  ------ eqn 1

<em><u>For upstream:</u></em>

Speed upstream = x - y

\frac{12}{4} = x - y

x - y = 3 -------- eqn 2

Now let us eqn 1 and eqn 2

Add eqn 1 and eqn 2

x + y + x - y = 4 + 3

2x = 7

x = 3.5

speed of Kayak in still water = x mph  = 3.5 mph

6 0
3 years ago
What is the circumference of a circle with a radius of 5 inches..<br> isnt the correct answer 31.4
Shkiper50 [21]

Answer:

yes your answer is correct 31.4

Step-by-step explanation:

given

Radius (r) = 5 inches

circumference (c)

= 2πr

= 2 * 3.14 * 5

= 31.4 inches

7 0
2 years ago
FIND THE VOLUME OF THE SPHERE!
Alexxx [7]

Answer:

v= 1.7in

Step-by-step explanation:

3 0
3 years ago
tyra has 12 2/3 cups of sugar. if r is the amount of sugar needed for one batch of cookies, the expression 12 2/3 ÷ r can be use
olga nikolaevna [1]

ANSWER

She can make 19 batches of oatmeal.

EXPLANATION

First we can change the mixed number into an improper fraction:

12\frac{2}{3}=12+\frac{2}{3}=\frac{12\cdot3}{3}+\frac{2}{3}=\frac{36}{3}+\frac{2}{3}=\frac{38}{3}

In this problem, r = 2/3. The division is:

12\frac{2}{3}\div r=\frac{38}{3}\div\frac{2}{3}

Using the KFC rule:

\frac{38}{3}\div\frac{2}{3}=\frac{38}{3}\times\frac{3}{2}

Solving we can see that the denominator of the first fraction can be simpliied with the numerator of the second fraction:

\frac{38}{3}\times\frac{3}{2}=\frac{38}{1}\times\frac{1}{2}=\frac{38}{2}=19

Tyra can make 19 batches of oatmeal with 12 2/3 cups of sugar.

6 0
1 year ago
the formula V= 4x3.14xr3 over 3 gives the approximate volume of a sphere if you know the radius r. Calculate V if r=3
Alinara [238K]
The answer is 113.04 should be correct...
6 0
3 years ago
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