Answer:
Step-by-step explanation:
The given equation will be of the form:
Simplifying the above equation, we get
Using identity,
=
=
=
=
which is the required simplified form of the given equation.
Answer:
To find the area of a trapezoid, we can use the formula:
Area = (1/2) × (sum of bases) × (height)
In this case, the bases are 6 cm and 2 cm, and the height is the distance between them, which we can find using the Pythagorean theorem:
height² = (side)² - (difference of bases/2)²
height² = 5.4² - (2-6/2)²
height² = 29.16 - 9
height² = 20.16
height = √20.16
height ≈ 4.49 cm
Now we can plug in these values to find the area:
Area = (1/2) × (6 + 2) × 4.49
Area = 4 × 4.49
Area = 17.96 cm²
Therefore, the area of the trapezoid is approximately 17.96 square centimeters.
Step-by-step explanation:
1; 19
–1; 19
3; 6
–3; 1
Answer:
Option B. x = -1, 19
Step-by-step explanation:
The given equation is x² - 18x = 19
We can get the value of x by factorizing the expression or by quadratic formula.
We will try to factorize the equation first. If we find no factors then we will apply quadratic formula to get the value of x.
x² - 18x - 19 = 0
x² - 19x + x - 19 = 0
x(x - 19) + 1(x - 19) = 0
(x - 19)(x + 1) = 0
x = 19, -1 will be the solutions.
So there is no need to apply quadratic formula.
Option B. x = -1, 19 is the answer.
Answer:
11= EC
Step-by-step explanation:
EC = 10 + 2 x + 19
= x + 20
So 2 x + 29 - x - 20 = 0
so x + 9 = 0
x = -9.
EC = x + 20 = -9+20 = 11.
Answer:
Step-by-step explanation:
10 + 2x + 19 = x + 20
2x - x = 20 - 10 - 19
x = -9
--------------------------------
check
10 + 2(-9) + 19 = -9 + 20
10 - 18 + 19 = -9 + 20
11 = 11
same value the answer is good
EC = 10 + 2x + 19
EC = 10 + 2(-9) + 19 (remember PEMDAS)
EC = 10 - 18 + 19
EC = 11 units
a. 2
b. 5
c. 20
d. 10