Answer:
1.41a
Step-by-step explanation:
Let ABC is a right triangle with equal legs AB =BC.
Hence, ∠B is 90° and CA is the hypotenuse.
Now, applying Pythagoras Theorem, we can write
CA² = AB² + BC²
Let us assume that each legs AB = BC = a.
Therefore, CA² = a² +a² = 2a²
⇒Hypotenuse or CA = a√2 = 1.41a { Round to the nearest tenth} (Answer)
Answer:
7
Step-by-step explanation:
form a proportion
12/2=42/x
cross multiply
12x=84
x=7
Answer:
discriminant=0
Number of real solutions=1
Step-by-step explanation:
Given the equation:
-9x^2-6x-1=0
Let a: coefficient of x^2
Let b: coefficient of x
Let c: constant
a=-9
b=-6
c=-1
The formula of the discriminant is given by:
discriminant= b^2 - 4ac
discriminant= (-6)^2 - 4(-9)(-1)
= 36 - 36 = 0
We know that:
If discriminant<0 then the equation has no real root
If discriminant=0 the equation has one real root
If discriminant>0 the equation has 2 real roots
Here we got discriminant=0 so the quadratic equation has 1 real root.
Answer:
Step-by-step explanation:
This is an incomplete question
Answer:
x = 
Step-by-step explanation:
7x² + 3 = 8x
7x² - 8x + 3 = 0
Applying the quadratic formula;
x = (8 ± 
) ÷ 2(7)
x = (8 ± 0) ÷ 2(7) =
