Answer:
b = 0
Step-by-step explanation:
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = - 2x + 17 is in this form with slope m = - 2
• Parallel lines have equal slopes, hence
slope of line through the 2 points is - 2
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (b, 7)
m = 
= 
, hence
= - 2 ( cross- multiply )
- 2(b - 2) = 4
- 2b + 4 = 4 ( subtract 4 from both sides )
- 2b = 0 ⇒ b = 0
Answer:
13
Step-by-step explanation:
1980 = ( n - 2 ) * 180
n - 2 = 11
n = 13
Based on the given data; the table represent an inverse variation and the equation that model the data in the table is y = 8/x
<h3>Variation</h3>
y = k × x
4 = k × 2
4 = 2k
k = 4/2
k = 2
when y = 2 and x = 4
y = k × x
= 2 × 4
y = 8
y = k/x
4 = k / 2
8 = k
when y = 2 and x = 4
y = k/x
2 = k/4
2 × 4 = k
k = 8
So,
y = k/x
y = 8/x
Learn more about variation:
brainly.com/question/6499629
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Answer:
I need more info.
Step-by-step explanation:
Answer:
Option C.
Step-by-step explanation:
The given logarithmic equation is
It can be written as
![[\because log_ax=y\Leftrightarrow x=a^y]](https://tex.z-dn.net/?f=%5B%5Cbecause%20log_ax%3Dy%5CLeftrightarrow%20x%3Da%5Ey%5D)
Now, to check whether is a true solution or not. Substitute in the LHS of given equation.
![[\because log_aa^x=x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20log_aa%5Ex%3Dx%5D)
Hence, is a true solution because 
.
Therefore, the correct option is C.
