Answer:
It's a
Step-by-step explanation:
This is a quadratic expression with the highest power of X being 2.
The coefficient of X² = 1
Note that the general form of a quadratic equation is aX² + bX + C
In this question,
a = 1
b = 7
C = 10
First step is to multiply a and C ( a x C)
= 1 X 10 = 10
Then, find 2 factors of 10 which can both add up to give 7, the coefficient of X given in the question.
The possible factors of 10 are 5 and 2. The sum of 5 and 2 is
5 + 2
Hence, the equation can be written as;
X² + 7X + 10 = X² + 5X + 2X + 10
The next step is to group using a bracket and factorise each bracket individually
(X² + 5X) + (2X + 10) =
X( X + 5) + 2( X + 5) =
(X + 5) (X + 2)
(X + 5) (X + 2) are the factors of the quadratic equation, X² + 7X + 10
Answer:
3
Step-by-step explanation:
Hope this helps!
The answer to this question is x equals 5
Answer:
m∠1 is 49° and m∠3 is 49°
Step-by-step explanation:
In the given figure
∵ There are 2 parallel lines
∵ A transversal cuts them
∴ ∠4 and ∠8 are corresponding angles
→ Corresponding angles are equal in measures
∴ m∠4 = m∠8
∵ m∠8 = 131°
∴ m∠4 = 131°
∵ ∠1 and ∠4 formed a pair of linear angle
∵ The sum of the measures of the linear angles is 180°
∴ m∠1 + m∠4 = 180°
→ Substitute ∠4 by 131°
∴ m∠1 + 131° = 180°
→ Subtract 131 from both sides
∵ m∠1 + 131 - 131 = 180 - 131
∴ m∠1 = 49°
∵ ∠1 and ∠3 are vertically opposite angles
∴ m∠1 = m∠3
∵ m∠1 = 49°
∴ m∠3 = 49°
Δ = 1 + 4*20 = 81
x' = (-1 + 9)/2 = 4
x'' = (-1 - 9)/2 = -5
4² + 4 - 20 = 0
(-5)² - 5 - 20 = 0
Ok !
