Please write this equation as <span>f(x) = −18 + x^2 − 3x
Rewrite it in descending order by powers of x: f(x) = x^2 - 3x - 18
Since the coefficient of the x^2 term is +, the graph opens UP.</span>
Answer:
10
Step-by-step explanation:
c² = a² + b²
= 8² + 6²
= 64 + 36
= 100
c² = 100
c = 10
Answer:
256π/3 cm³
Step-by-step explanation:
d = 2r => r = d/2 = 4cm/2 = 2 cm
V(sphere) = 4π·r³/3
= 4π·64/3 cm³
= 256π/3 cm³
Answer:
The width of the sandbox is
.
Step-by-step explanation:
Given,
Area of the sandbox = 
Length = 
Solution,
Let the width of the sandbox be 'w'.
Since the sandbox is in shape of rectangle.
So we use the formula of area of rectangle.

On substituting the given values, we get;

By cross multiplication method, we get;

Hence The width of the sandbox is
.
Angle 1 = 30°
Angle 2 = 90°
⇒ Angle 3 = 60°
So, it's right triangle. We can set the length of one side and get all other sides.
So, we have 1 triangle. If there are 2 or more triangles with the same data, all the triangles will be congruent because of : <span>Two triangles are </span><span>congruent if </span>"<span>ASA: Two interior angles and the included side in a triangle have the same measure and length, respectively, as those in the other triangle</span><span>.</span>"