Answer:
Slope = -2
Step-by-step explanation:
x1 y1 x2 y2
(-1 , 9) (2 , 3)
Slope = <u>y2 - y1</u>
x2 - x1
<u>3 - 9 </u>= <u> -6 </u>
2 -(-1) = 3
= -2
Answer:
Option B.
Step-by-step explanation:
It is given that the sides of an equilateral triangle are 8 units long.
Draw an altitude of the triangle.
Altitude of an equilateral triangle is perpendicular bisector.
Let x be the length of the altitude of the triangle.
According to the Pythagoras theorem
Using Pythagoras theorem we get
Taking square root on both sides.
The length of the altitude of the triangle is 4√3 units.
Therefore, the correct option is B.
Answer:
(f - g)(x) = -x² + 3x + 7 ⇒ D
Step-by-step explanation:
In the expression x - a, you will subtract a from x
Let us solve the question using this fact
∵ f(x) = 3x + 1
∵ g(x) = x² - 6
→ We need to find (f - g)(x), which means subtract g from x
∵ (f - g)(x) = (3x + 1) - (x² - 6)
→ The negative sign before (x² - 6) will change their signs
∵ - (x² - 6) = -(x²) + -(-6)
→ Remember (-)(+) = - and (-)(-) = (+)
∴ - (x² - 6) = -x² + 6
→ Substitute it in (f - g)(x)
∴ (f - g)(x) = 3x + 1 - x² + 6
→ Add the like terms
∴ (f - g)(x) = 3x - x² + (1 + 6)
∴ (f - g)(x) = 3x - x² + 7
→ Re-arrange the terms from the greatest power of x
∴ (f - g)(x) = -x² + 3x + 7
Answer:
Just use a calculator
Step-by-step explanation:
Isn't a neutral number 0? Since it's neither negative nor positive. So if you multiply 0 by 7, it's 0...
