Answer:
7.28011
Step-by-step explanation:
X1 =-3
X2 =-5
Y1 =8
Y2 =1
Distance Formula = √(X2-X1)²+ (Y2-y1)²
Step 1. calculate (X2-X1)²
(-5 - -3)2 = 4
Step 2. calculate (Y2-Y1)²
(1 - 8)2 = 49
Step 3. calculate √4 + 49
= 7.28011
A) The first step needs 100 bricks, the second needs 98, the third needs 96, and so on. Therefore the number of bricks for the nth step is: a_n = a_1 + d(n-1), where a_1 = 100 (the first term), d = -2 (difference).
a_n = 100 - 2(n-1) = 102 - 2n, and for the 30th step, a_30 = 102 - 2*30 = 42. So the top step will need 42 bricks.
b) The total staircase will need: 100 + 98 + 96 + ... + 44 + 42, and there are n = 30 terms. Using the formula for the sum of an arithmetic sequence:
S = (a_1 + a_n)*n/2 = (100 + 42)*30/2 = 2130
Therefore, 2130 bricks are required to build the entire staircase.
Answer:
a) -36
b) y = -36x +34
Step-by-step explanation:
a) The slope is found using the derivative of the function.
f'(x) = dy/dx = 0 -9(2x) = -18x
Then at x=2, the slope is ...
f'(2) = -18·2 = -36
___
b) The point-slope form of the equation can be written as ...
y = -36(x -2) -38
Simplifying to slope-intercept form, we get ...
y = -36x +34
Answer:
equation of the table is y=30x+60
60 degrees is what the temperature starts at
to get to 440 degrees he needs 12 minutes and 40 seconds
Step-by-step explanation:
the change in y over change in x is 90/3 which is the slope
slope is 30
if slope is 30 then 30*2+b=120 60+b=120 so b=60 and it is the y intercept
440=30x+60
380=30x
x=12 2/3
x= 12 minutes and 40 seconds
If you have several different sized pizzas, you can compare their areas. So the area of a pizza is the length of the crust (circumference) divided by two times the distance from the edge to the middle (radius). Mathematicians use a special number called pi to calculate the circumference of a circle.
