Answer:
D) -12
Step-by-step explanation:
Y= mx + b
m(slope) = 1/2
b(y-intercept) = 6
y= 1/2x + 6
^^
Graph
Answer:
do distributive property on both, so multiply 6•x and 6•-4. then multiply 7•x and 7•3.
so it'll basically be 6x - 24 = 7x + 21.
then add 24 to both sides so: 6x - 24 + 24 = 7x + 21 + 24. since -24+24=0 it'll be 6x = 7x + 21 + 24.
then add 21 + 24 and that will be 45.
so 6x = 7x + 45
then subtract 7x from both sides 6x - 7x = 7x + 45 - 7x
that'll be -x = 7x + 45 - 7x
combine like terms (7x - 7x) = 0
so -x = 45
and since x can't be negative, do the opposite signs
so instead of -x = 45, make it x = -45
Hope it helped! (sorry that's its very long just wanted to show u the steps just in case)
Step 1: Simplify both sides of the equation.
p−7=3
Step 2: Add 7 to both sides.
p−7+7=3+7
p=10
Volume of a cone = π r² h/3
I envisioned a cone inside a cube. I only identified the necessary value to compute for the exact volume of the largest cone.
Edges of the cube is 10 inches. When the circle part of the cone is placed in the circle, the diameter would be 10 inches also. I divided it by 2 to get the value of the radius, resulting to 5 inches.
The height of the cone is also the height of the cube. Thus, it is 10 inches.
Volume of the cone = 3.14 * (5in)² * 10in/3
V = 3.14 * 25in² * 3.33 in
V = 261.405 in³ or 261.41 in³ VOLUME OF THE LARGEST CONE THAT CAN FIT IN A 10 INCH CUBE
Answer:
The option which you chose is absolutely right.
Step-by-step explanation:
h(n) = 3^ n + 3
h(3n) = 3 ^3n + 3
Hope it will help :)