Step-by-step explanation:
problem → 2^x = 4, solve for x
⇒2^x=4
⇒2^x=2^2
⇒x=2
Answer:
4, 8, 12, 16, 24
Step-by-step explanation:
Replace the x with the x values starting at -2 and use the equation with the new x value.
E.g.
x = -2
y = 4 * -2 + 12
y = 4
Sorry if my explanation isn't the best.
Answer:
y = -2x - 3
Step-by-step explanation:
Please look carefully at this graph. There are two red dots on the graph. The x- and y-coordinates of one are (-5,7) and those of the other are (0,-3).
Now as we move to the right, from (-5,7) to (0,-3), x increases by 5 and y decreases by 10 (note that 7-10 is -3). Thus, the slope of this line is
m = rise / run = -10/5, or m = -2.
Then the equation of this line, in point-slope form, is
y-7 = -2(x-[-5])x, or y-7 = -2(x+5). This is in point-slope form.
If you'd like to have it in slope-intercept form, manipulate y-7 = -2(x+5) as follows: (a) add 7 to both sides, obtaining y = -2(x+5) + 7, and (b) perform the indicated multiplication: y = -2x - 10 + 7, or y = -2x - 3.
Part a:-
The base of each triangle is 4 inches long.
Their height is 3/2 * 4 = 6 inches.
b
The combined area of the triangular faces = 4 * 1/2 * 4 * 6 = 48 sq ins
c
Surface area of the pyramid = 48 + area of base = 48 + 16 = 64 sq ins.
Answer:
2:5
Step-by-step explanation:
Hello!
A ratio is written as 
.
Since we are writing it as a ratio of squares to triangles, "a" would be squares, and "b" would be triangles.
The simplest form of the ratio is 2:5.
Remove common factors