Quadrilateral BCDE has vertices B(-1, -1), C(6,-2), D(5, -9), and E(-2,-8).

What is the solution to the system of equations graphed below

Morgarella [4.7K]

Equation 1 ==> y = -4x + 2
Equation 2 ==> y = x - 3

Substitude equation 2 into 1

x - 3 = -4x + 2
-5 = -5x
x = 1

Substitude x into equation 2

y = 1 - 3
y = -2

Coordinates is (1, -2)
Answer is D.

3 0

2 years ago

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The city of Madison regularly checks the quality of water at swimming beaches located on area lakes. Fifteen times the concentra

Maksim231197 [3]

Answer:

The sample standard deviation is 393.99

Step-by-step explanation:

The standard deviation of a sample can be calculated using the following formula:

$s=\sqrt[ ]{\frac{1}{N-1} \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }$

Where:

$s=$ Sample standart deviation

$N=$ Number of observations in the sample

${\displaystyle \textstyle {\bar {x}}}=$ Mean value of the sample

and $\sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }$ simbolizes the addition of the square of the difference between each observation and the mean value of the sample.

Let's start calculating the mean value:

$\bar {x}=\frac{1}{N} \sum_{i=1}^{N}x_{i}$

$\bar {x}=\frac{1}{15}*(180+1600+90+140+50+260+400+90+380+110+10+60+20+340+80)$

$\bar {x}=\frac{1}{15}*(3810)$

$\bar {x}=254$

Now, let's calculate the summation:

$\sum_{i=1}^{N}(x_{i}-\bar {x}) ^{2} }=(180-254)^2+(1600-254)^2+(90-254)^2+...+(80-254)^2$

$\sum_{i=1}^{N}(x_{i}-\bar {x}) ^{2} }=2173160$

So, now we can calculate the standart deviation:

$s=\sqrt[ ]{\frac{1}{N-1} \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }$

$s=\sqrt[ ]{\frac{1}{15-1}*(2173160)}$

$s=\sqrt[ ]{\frac{2173160}{14}}$

$s=393.99$

The sample standard deviation is 393.99

3 0

3 years ago

3(x+6)+2x-5=-2(x+1)+10

Leto [7]

Step-by-step explanation:

3x+18+2x-5= -2x+-2+10

combining like terms

3x+2x+2x=5-2+10-18

7x=-5

x=-5/7

8 0

3 years ago

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Solving inequalities, what is x/18>27

Lunna [17]

Answer: x > 486

Explanation:

We have some number x and we divide that by 18. The result is larger than 27. To find possible values for x, we need to undo what is happening to x. The opposite of division is multiplication. We multiply both sides by 18 to cancel out the "18" on the left side, which will isolate x to get it to its own side.

This is what the steps look like

x/18 > 27

18*( x/18 ) > 18*27 .... multiplying both sides by 18

x > 486 ... note the 18's cancel on the left side

So this means x is some number greater than 486.

7 0

2 years ago

an octagon has sides that all have a length of y. Write a simplified algebraic expression for the perimeter of the octagon in te

padilas [110]

Answer = 8y

Step-by-step explanation:

if an octagon has 8 sides and each side is = to y then the total side length in the primiter is = to 8sides times y or 8y

5 0

2 years ago