Answer:
19
Step-by-step explanation:
Follow PEMDAS
4^2 + 6 ÷ 2
16 + 6 ÷ 2
16 + 3
19
Answer:
No real roots
Step-by-step explanation:
Given
7x² + 5x + 1 = 0 ← in standard form
with a = 7, b = 5, c = 1
To determine the nature of the roots use the discriminant
Δ = b² - 4ac
• If b² - 4ac > 0 then roots are real and distinct
• If b² - 4ac = 0 then roots are real and equal
• If b² - 4ac < 0 then the roots are not real
Here
b² - 4ac = 5² - (4 × 7 × 1) = 25 - 28 = - 3
Thus the 2 roots are not real
Answer: The distance between the fence and where the string is pegged to the ground is 7.07 feet.
Step-by-step explanation:
Since we have given that
Length of string = 10 feet
Angle of elevation = 45°
We need to find the distance between the fence and where the string is pegged to the ground.
We will apply "Cosine formula "
Hence, the distance between the fence and where the string is pegged to the ground is 7.07 feet.
Answer:
20
Step-by-step explanation:
This is a right triangle
a² + b² = c²
16² + 12² = x²
256 + 144 = x²
400 = x²
take the square root of both sides
x = 20
Answer:
-1.214789091
Step-by-step explanation:
