Answer:
Step-by-step explanation:
45x = 9*5*x
81 = 9*9
GCF = 9
Take 9 out using distributive property { a*b - c*b = b*(a-b)}
45x - 81 = 9*5x - 9*9
= 9*(5x - 9)
=9(5x-9)
Answer:
D₁ = 68°
Step-by-step explanation:
If AB = BE then ΔABE is an isosceles triangle, therefore A₁ = E₁.
If A₁ = 28° then E₁ = 28°.
<u>Opposite sides</u> of a parallelogram are <u>parallel</u>.
Using the Alternate Interior Angles Theorem:
A₂ = E₁ = 28°
Therefore, A = A₁ + A₂ = 28° + 28° = 56°
<u>Opposite angles</u> in a parallelogram are <u>equal</u>.
Therefore, C = A = 56°.
<u>Opposite sides</u> of a parallelogram are <u>equal in length</u>, so AB = CD.
If AB = DE = CD then ΔCDE is an isosceles triangle.
Therefore, C = E₃ = 56°.
Interior angles of a triangle sum to 180°.
⇒ D₁ + C + E₃ = 180°
⇒ D₁ + 56° + 56° = 180°
⇒ D₁ + 112° = 180°
⇒ D₁ = 180° - 112°
⇒ D₁ = 68°
The answer is C, because in the beginning there where 4 carbon, then when added the oxygen, there was 1 left
Answer:
Hyperbola
Step-by-step explanation:
Lets write variables in square form using completing the square method
LEts group x and y terms
y^2 terms should be positive always, so we pull out negative sign from y^2
We have negative sign in the middle. so we will get equation in the form of
If we have negative sign in the middle then it is an hyperbola
