Answer:
The answer to your question is the last option (x + 6)² = 13
Step-by-step explanation:
Data
x² + 12x + 23 = 0
Process
1.- Subtract 23 in both sides
x² + 12x + 23 - 23 = -23
2.- Simplify
x² + 12x + ( ) = - 23
3.- Complete the perfect square trinomial
x² + 12x + (6)² = -23 + (6)²
4.- Factor
(x + 6)² = -23 + (6)²
5.- Simplify
(x + 6)² = -23 + 36
6.- Result
(x + 6)² = 13
My bet is on D - 1/9 of 4 :)
There are linear relationships so long as the power of x is 1 when power of y is 1 / power of x is not 2 and above when power of y is 1. This is assuming you plot the vertical axis as y-axis and the horizontal axis as the x-axis.
So using this concept, the equation with linear relationships are:
1, 3, 4, and 5.
Hope this helps! :)
Answer
Mandisa uses more balloon per animal.
Amira and Mandisa made the same amount of balloon animals.
Explanation
Mandisa uses 5 balloons per animal.
You can find this out by putting the difference between two of the y values (output, dependent variable, in this case balloons) over the difference between two of the x values (input, independent variable, in this case animals). Let's take 225 and 125 from the y value and 20 and 40 from the x value. Mandisa uses 225-125=100 balloons per 40-20=20 animals. Mandisa uses 5 balloons per animal. 5 is more than 4 (how many balloons Amira uses for each animal), so Mandisa uses more balloons per animal.
Amira and Mandisa made the same amount of balloon animals.
Now you can divide the number of balloons they had at the beginning by the number of balloons per animal to find out how many animals each person made. Amira started with 260 balloons and used 4 balloons for each animal. Amira made 260/4=65 animals.
If Mandisa used 100 balloons to make 20 animals, she would have had 225+100=325 balloons at the beginning. Mandisa made 325/5=65 animals.
Answer:
x = 17
Step-by-step explanation:
Since the triangles are similar then corresponding angles are congruent.
∠ I = ∠P ← substitute values and solve for x
3x + 4 = 72 - x ( add x to both sides )
4x + 4 = 72 ( subtract 4 from both sides )
4x = 68 ( divide both sides by 4 )
x = 17
