Answer:
x = -2
x = 8
Step-by-step explanation:
Excluded values are the ones which make the denominator zero
3x² + x - 10
3x² + 6x - 5x - 10
3x(x + 2) - 5(x + 2)
(x + 2)(3x - 5)
x² - 6x - 16
x² - 8x + 2x - 16
x(x - 8) + 2(x - 8)
(x - 8)(x + 2)
[(x + 2)(3x - 5)] ÷ [(x - 8)(x + 2)]
(3x - 5)/(x - 8)
So excluded values are 8, -2
Answer:
82.5
Step-by-step explanation:
The formula for the area of triangle is 1/2 B * H
1/2 of the base is 7.5
multiply that by 11
and you get
82.5
Step 1.
Calculate measure of angle α:
Step 2.
Calculate what fraction of the angle 360° is the angle α:
Step 3.
Calculate the circumference of the Earth (circle):
Step 4.
The length of arc is equal 1/40 of the circumference:
<h3>Answer: A) 628 miles</h3>
Answer:
Step-by-step explanation:
The equation 
is a <em>linear equation</em>. By definition, the independent term on this equation (that is, the number that is not being multiplied by 
) is the <em>y-intercept</em>, which is a fancy way of saying "the point where the line crosses the y-axis".
By looking at the equation, we know that our y-intercept is <em>c. </em>By looking at the graph, we can see that the y-intercept is -3. Therefore, 
and we get the complete version of our linear equation:
Now, looking at the graph we can see that the point 
lies on the line of the equation, which means that the point is a solution to our equation. All we have to do is replace and 
by the values of the given point (which are 
and 
, respectively), and then solve for :
And we are done!
