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4 years ago

The point (2,1) is a solution to which of the following systems of equations

Mathematics

1 answer:

Triss [41]4 years ago

4 0

Answer:

x+y = 3

3x-y = 5

Step-by-step explanation:

x+y = 3

3x-y = 5

This system of equation will give the points(2,1).

Lets substitute the values x=2 and y = 1 in the equations:

x+y=3 equation 1

2+1 =3

3=3

3x-y=5 equation 2

3(2)-1=5

6-1=5

5=5

Lets solve the system:

Add the equations to eliminate y from the system:

x+y = 3

3x-y = 5

_______

4x = 8

Now divide both the sides by 4

4x/4 = 8/4

x=2

Now substitute the value of x in equation 1:

x+y=3

2+y=3

Combine the constants:

y=3-2

y=1....

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A ball is dropped from the ground. T represents the time in seconds. To find the time you can you the equation Y= -16t^2 +44t. H

bagirrra123 [75]

Answer:

2.75 seconds.

Step-by-step explanation:

We have been given that a ball is dropped from the ground. T represents the time in seconds.

To find the time when the ball was in air, we will equate height of ball with 0 and solve for t.

$-16t^2+44t=0$

Upon dividing both sides by 4, we will get:

$-4t^2+11t=0$

$-t(4t-11)=0$

$-t=0\text{ (or) }(4t-11)=0$

$t=0\text{ (or) }4t-11=0$

$t=0\text{ (or) }4t=11$

$t=0\text{ (or) }t=\frac{11}{4}$

$t=0\text{ (or) }t=2.75$

Since our given function is a downward opening parabola, so ball will be in air between both t-intercepts.

Since the ball touches the ground at 2.75 seconds, therefore, the ball would be in air for approximately 2.75 seconds.

4 0

3 years ago

What is the y value of the solution to this system of equations? y= 2x + 86 4x + 5y = 24

kupik [55]

Answer:

Point Form:

(−29,28)

Equation Form:

x=−29,y=28

4 0

3 years ago

The answer to math problem

Degger [83]

First, you would multiply 2 x 16.

2 x 16 = 32

Using that number, subtract by 8.

32 - 8 = 24

Multiply 3 x 16.

3 x 16 = 48

Subtract the two numbers from step 2 and 3.

48 - 24 = 24

8 0

3 years ago

Pleaseeee help meeeee What is ∑n=125(3n−2) equal to?

vichka [17]

Answer:

$\sum_{n=1}^{25}(3n-2)=925]$

Step-by-step explanation:

The given series is $\sum_{n=1}^{25}(3n-2)$

The first term of this series is

$a_1=3(1)-2$

$a_1=3-2$

$a_1=1$

The second term is

$a_2=3(2)-2$

$a_2=6-2$

$a_2=4$

The common difference is

$d=4-1=3$

The sum of the first n-terms is given by;

$S_n=\frac{n}{2}[2a_1+d(n-1)]$

The sum of the first 25 terms of the series is

$S_{25}=\frac{25}{2}[2(1)+3(25-1)]$

$S_{25}=\frac{25}{2}[2+3(24)]$

$S_{25}=\frac{25}{2}(74)]$

$S_{25}=925]$

4 0

4 years ago

Read 2 more answers

Select the correct answer from each drop-down menu.

Natali5045456 [20]

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Answer: $\textsf{Option A, 13}$

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Given: $\textsf{Side length = 9 units}$

Find: $\textsf{Diagonal length}$

Solution: The diagonal length can be easily determined using an equation which uses the side length of a square multiplied by the square root of 2. All we need to do is plug in the values and simplify the expression.

Plug in the values

$\textsf{Diagonal = Side length} * \sqrt{2}$

$\textsf{Diagonal = 9 units} * \sqrt{2}$

Simplify the expression

$\textsf{Diagonal = 9 units * 1.4142}$

$\textsf{Diagonal = 12.73 units}$

Looking at the answer options that have been provided, the option that best fits our scenario is option A, 13.

4 0

2 years ago