Answer:
D
B
Step-by-step explanation:
1. x² - 5x = 14
x² -5x -14 = 0
x² +2x -7x -14 = 0
x(x + 2) -7(x + 2) = 0
x - 7 or x + 2 = 0
x = 7 or x = -2
2. y² + 6y + 9 = 49
y² + 6y +9 -49 = 0
y² +6y -40 = 0
y² +10y -4y -40 = 0
y(y + 10) -4(y + 10) = 0
y -4 or y + 10 = 0
y = 4 or y = -10
Answer:
3 and 4
Step-by-step explanation:
Well to start we have to know that they are asking us, a factorized form of a quadratic expression
a quadratic expression is of the form
ax ^ 2 + bx + c
Now the factored form is as follows
a ( x - x1 ) ( x - x2 )
Next, let's look at each of the options
In this case we lack a term with x since if we solve we have a linear equation
1. 5(x+9)
5x + 45
In this case if we pay attention they are being subtracted instead of multiplying, so we will not get a quadratic function
2. (x+4) - (x+6)
-2
In this case we have everything we need, now let's try to solve
3. (x-1) (x-1)
x^2 - x - x + 1
x^2 - 2x + 1 quadratic function
In this case we have everything we need, now let's try to solve
4. (x-3) (x+2)
x^2 -3x +2x -6
x^2 -x - 6 quadratic function
In this case we have a quadratic function but we do not have it in its factored form since we can observe the x ^ 2
5. x^2 + 8x
Hello :)
We know that an answer in square feet would require us to calculate the area. In order to calculate the area of a rectangle, we multiply the length times the width. So, we have 6 x 2 which is 12 Therefore, the area is 12 square feet.
6[]
2
6+6+2+2=16
Have a nice day :)
Answer:
median = 17.5
Step-by-step explanation:
The median is the middle value of a data set arranged in ascending order. If there is not a middle value then the median is the average value of the numbers either side of the middle.
Data in ascending order is
8, 15, 17, 18, 19, 21
The median is between 17 and 18, hence
median =
= 17.5
Answer:
= 11.66 units
Step-by-step explanation:
distance between 2 points (a,b) and (c,d) = 
= 
=
= 11.66 units