The Method is that you add 1 block horizontally to the 2nd row of the figure every time you make a new one.
To find the equation of a line knowing two points it passes through, we must first find the slope and then substitute the x and y values to figure out the y intercept.
First thing is to find the slope using the formula m = Δy ÷ Δx
m = 5 - (-2) ÷ 4 - (-5)
Now we simplify
m = 7 ÷ 9
Our equation so far is y = 7/9x + b. Now we can substitute the values of x and y from a point to figure out the answer. The equation here uses the point (4,5)
5 = 7/9 · 4 + b
Get b on one side
5 - 28/9 = b
Simplify
b = 1 + 8/9
That makes the equation of the line y = 7/9x + (1 + 8/9)
Given:
n = 27, sample size
df = n-1 = 26, degrees of freedom
xb = 11.8, sample mean
s = 2.3, sample standard deviation.
Because population statistics are not known, we should use the Student's t-distribution.
At 99% confidence interval, the t-value = 2.779 (from tables).
The confidence interval is
11.8 +/- 2.779*(2.3/√(27)) = 11.8 +/- 1.23 = (10.57, 13.03)
Answer: (10.6, 13.0) to the nearest tenth
Answer:
B. It has four right angles.
E. opposites side are parallel.
F. Diagonal are congruent.
If the weight is lowered by 25% it is the same as taking 75% of the original weight.
0.75x = 33
