My geometry program shows the equation of the bisector to be
.. 4x +7y = 25
When x = 0, the y-value is 25/7 = 3 4/7
The y-intercept is 3 4/7.
Answer:
16008
Step-by-step explanation:
Sum of an arithmetic sequence is:
S = (n/2) (2a₁ + (n−1) d)
or
S = (n/2) (a₁ + a)
To use either equation, we need to find the number of terms n. We know the common difference d is 1 − (-9) = 10. Using the definition of the nth term of an arithmetic sequence:
a = a₁ + (n−1) d
561 = -9 + (n−1) (10)
570 = 10n − 10
580 = 10n
n = 58
Using the first equation to find the sum:
S = (n/2) (2a₁ + (n−1) d)
S = (58/2) (2(-9) + (58−1) 10)
S = 29 (-18 + 570)
S = 16008
Using the second equation to find the sum:
S = (n/2) (a₁ + a)
S = (58/2) (-9 + 561)
S = 16008
Answer:
x ≈ 14.30
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Trigonometry</u>
- sin∅ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define variables</u>
∅ = 39°
opposite leg = 9
hypotenuse = x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: sin39° = 9/x
- Multiply <em>x</em> on both sides: xsin39° = 9
- Isolate <em>x</em>: x = 9/sin39°
- Evaluate: x = 14.3011
- Round: x ≈ 14.30
Answer:
y = - 3x - 2
Step-by-step explanation:
Step 1:
y = mx + b Slope Intercept Form
Step 2:
y = - 3x + b Input Slope
Step 3:
4 = - 3 ( - 2 ) + b Input x and y
Step 4:
4 = 6 + b Multiply
Step 5:
- 2 = b Subtract 6 on both sides
Answer:
y = - 3x - 2
Hope This Helps :)
Sort the data into this order:
2.6, 3, 4.9, 5, 5, 6, 6, 7.9, 8, 8.2
^
there are 10 data points in total, therefore the Interquartile Range = between the 5th and the 6th numbers, which are 5 and 6
(5+6)/2= 5.5
