What is equivalent to 3(y+4)+4(y-2)

Whats the answer to this

dybincka [34]

Answer:

16 Units.

Step-by-step explanation:

Given:

AC = 2 (x-3)
BD = x + 5

THIS CASE ⇒ AC = BD

⇒ Substitute the values

2 (x - 3) = x + 5

⇒ Clear the value of x

2x - 6 = x + 5

2x - x = 5 + 6

x = 11

⇒ Substitute the value of x in any of the equations

11 + 5 = 16

⇒ Length of each diagonal is 16 units.

5 0

2 years ago

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PLZ!!! HELP!!!!!<br><br> What is the slope

pentagon [3]

Answer:

zero slope

Step-by-step explanation:

horizontal lines are zero slope because they are not slanted (slope)

this is a horizontal line.

4 0

3 years ago

Is the following relation a function? (4,2), (1,1), (0,0), (1, -1), (4, -2). Give the domain and range.

Vlada [557]

(x,y)
to be a function
for every x, ther must be only 1 y to corespond to it
basically, x must NEVER repeat with a different y
list them

ah, we see (1,1) an d(1,-1)
also (4,2) and (4,-2)
double offense
1 repeats with 1 and -1
4 repeats with 2 and -2

not a function

domain is all x values
range is all y values
if they repeat, don't list them

domain=(0,1,4)
range=(-2,-1,0,1,2)

8 0

4 years ago

When solving a system of equations of A and B, we get no solution. When solving B and C, the solution is (0,3). When solving A a

Aliun [14]

Step-by-step explanation:

How do we set about finding the points in which two graphs y = f(x) and y = g(x) intersect?

We already know how to find where the graph of f(x) cuts the x−axis. That’s where y = 0. We calculate it by solving the equation f(x) = 0 .

When the graphs of y = f(x) and y = g(x) intersect , both graphs have exactly the same x and y values. So we can find the point or points of intersection by solving the equation f(x) = g(x). The solution of this equation will give us the x value(s) of the point(s) of intersection. We can then find the y value by putting the value for x that we have found into one of the original equations. That is by calculating either f(x) or g(x).

Example 1

Calculate the point of intersection of the two lines f(x) = 2x − 1 and g(x) = x + 1. First let’s look at a graph of the two functions. We can see the point of intersection is (2, 3).

We calculate the point of intersection by solving the equation f(x) = g(x). That is:

2x − 1 = x + 1

2x − x = 1 + 1

x = 2

The y coordinate can now be found by calculating f(2):

f(2) = 2×2 − 1 = 3

The point of intersection is (2, 3).

The example shows that we can find the point of intersection in two ways.

Either graphically, by drawing the two graphs in the same coordinate system, or algebraically by solving the equation such as the one in the above example.

Solving an equation graphically is easy with a graphical calculator or a computer program such as Excel.

Some equations cannot be solved algebraically but we can find solutions that are correct to as many significant figures as we want by using computers and calculators

4 0

3 years ago

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This is a standard deviation contest. You must choose four numbers from the whole numbers 0 to 10 , with repeats allowed. (a) Ch

irina [24]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following instructions :

Choose 4 numbers from the whole numbers 0 - 10

Note : Repetition is allowed

Choose 4 numbers with the smallest possible standard deviation.

The smallest possible value of standard deviation obtainable is 0;

Hence in other to obtain a standard deviation value of 0, then;

The mean squared deviation value must be zero (0)

Σ(X - mean)^2 = 0

To achieve this, the values of X and the mean must be the same.

Hence all 4 numbers (X) must be the same in other to have a mean value which is equal to X

For instance :

If X = 3, 3, 3, 3 (since Repetition is allowed)

Man value = (3+ 3+ 3+ 3) / 4 = 12 / 4 = 3

Σ(3 - 3)² = 0 for all values of x

√Σ(x - mean)² / n = 0 ; if all values of x are the Same

n = Number of observations

A possible list of values is (3,3,3,3)

4 0

3 years ago