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3 years ago

Which one is it and justify the answer??

Mathematics

1 answer:

Elan Coil [88]3 years ago

6 0

Answer:

what are you taking about and its A

Step-by-step explanation:

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Solve the system by the elimination method.<br><br> 2a + 3b = 6<br> 5a + 2b - 4 = 0

mariarad [96]

2a + 3b = 6 --> Equation 1
5a + 2b = 4 --> Equation 2
Equation 1 * 5 --> 10a + 15b = 30
Equation 2 * 2 --> 10a + 4b = 8
Equation 1 - Equation 2 --> 11b = 22 --> b = 2
Sub b=2 in Equation 1 (or 2, either works):
2a + 3b = 6
2a + 3(2) = 6
2a + 6 = 6
2a = 0
a = 0

b = 2, a = 0

5 0

3 years ago

Read 2 more answers

A triangle has one side that is 5 inches long and the other two sides are both of length x. Write an expression for the perimete

earnstyle [38]

Let P = perimeter

P = 3x + 5

Let x = 10

P = 3(10) + 5

P = 30 + 5

P = 35

4 0

3 years ago

I need help on this thx

Anuta_ua [19.1K]

Answer: x = 75

Explanation: Basically, the three angles of the triangle add up to 180 degrees. The bottom left angle is ninety degrees. (You can figure that out by looking at the symbol that looks like a square in the bottom left angle of the triangle.) If you see that in other problems it means that that angle equals 90 degrees. To find the bottom right angle, you take 165 and subtract it from 180 because the diagonal line intersects the line that is going horizontally. That would give you 15. You can check this by adding 15 and 165 and you know that you’re right if you get 180. That gives you two angles. As I said in the beginning, the three angles of the triangle should add up to 180. Now you have 90 degrees and 15 degrees. You add those two and you get 105. Now all you have to do is subtract 105 from 180. You should get 75. You can check if you get the right answer by adding 90, 15, and 75 together. If you get 180 then you are correct. If you don’t get 180 then you did something wrong and should do the problem again. Sorry for the long paragraph, I wanted to get all the details in in case you had any questions. :) Hope this helps.

3 0

3 years ago

How many terms are there in the sequence 1, 8, 28, 56, ..., 1 ?

BabaBlast [244]

Answer:

9 terms

Step-by-step explanation:

Given:

1, 8, 28, 56, ..., 1

Required

Determine the number of sequence

To determine the number of sequence, we need to understand how the sequence are generated

The sequence are generated using

$\left[\begin{array}{c}n&&r\end{array}\right] = \frac{n!}{(n-r)!r!}$

Where n = 8 and r = 0,1....8

When r = 0

$\left[\begin{array}{c}8&&0\end{array}\right] = \frac{8!}{(8-0)!0!} = \frac{8!}{8!0!} = 1$

When r = 1

$\left[\begin{array}{c}8&&1\end{array}\right] = \frac{8!}{(8-1)!1!} = \frac{8!}{7!1!} = \frac{8 * 7!}{7! * 1} = \frac{8}{1} = 8$

When r = 2

$\left[\begin{array}{c}8&&2\end{array}\right] = \frac{8!}{(8-2)!2!} = \frac{8!}{6!2!} = \frac{8 * 7 * 6!}{6! * 2 *1} = \frac{8 * 7}{2 *1} =2 8$

When r = 3

$\left[\begin{array}{c}8&&3\end{array}\right] = \frac{8!}{(8-3)!3!} = \frac{8!}{5!3!} = \frac{8 * 7 * 6 * 5!}{5! *3* 2 *1} = \frac{8 * 7 * 6}{3 *2 *1} = 56$

When r = 4

$\left[\begin{array}{c}8&&4\end{array}\right] = \frac{8!}{(8-4)!4!} = \frac{8!}{4!3!} = \frac{8 * 7 * 6 * 5 * 4!}{4! *4*3* 2 *1} = \frac{8 * 7 * 6*5}{4*3 *2 *1} = 70$

When r = 5

$\left[\begin{array}{c}8&&5\end{array}\right] = \frac{8!}{(8-5)!5!} = \frac{8!}{5!3!} = \frac{8 * 7 * 6 * 5!}{5! *3* 2 *1} = \frac{8 * 7 * 6}{3 *2 *1} = 56$

When r = 6

$\left[\begin{array}{c}8&&6\end{array}\right] = \frac{8!}{(8-6)!6!} = \frac{8!}{6!2!} = \frac{8 * 7 * 6!}{6! * 2 *1} = \frac{8 * 7}{2 *1} = 28$

When r = 7

$\left[\begin{array}{c}8&&7\end{array}\right] = \frac{8!}{(8-7)!7!} = \frac{8!}{7!1!} = \frac{8 * 7!}{7! * 1} = \frac{8}{1} = 8$

When r = 8

$\left[\begin{array}{c}8&&8\end{array}\right] = \frac{8!}{(8-8)!8!} = \frac{8!}{8!0!} = 1$

The full sequence is: 1,8,28,56,70,56,28,8,1

And the number of terms is 9

3 0

3 years ago

Allen traveled for 7 hours at a constant rate of 40 miles per hour. Anna traveled the same distance at a constant rate of 50 mil

TEA [102]

Here is the correct order of the step:

Identify: Anna's time is the unknown

Strategize : let x = Anna's time

Set up : 7(40) = x(50)

Solve: x = 5.6

Check: 7(40) = 5.6(50)

The first step is to determine the distance Allen travelled:

Distance = average speed x time

40 x 7 = 280 miles

The second step is to determine the time it took Anna to travel 280 miles.

Time = distance / average speed

280 / 50 = 5.6 hours

To learn more about average speed, please check: brainly.com/question/21734785

#SPJ1

3 0

2 years ago

Which one is it and justify the answer??​

Which one is it and justify the answer??