Answer:
5
Step-by-step explanation:
The horizontal line y=3 intersects the graph in two places. It touches the peak at x = -7 (consistent with the question), and it crosses the line at x=5 (the desired answer).
h(5) = 3
x = 5 . . . for h(x) = 3
Answer:
1/5
Step-by-step explanation:
Answer:
C ) y + 3 = 1/4 ( x + 4 )
Explanation:
Given that you did not include the "given line", I can help you by explaning how to solve this kind of problems, step by step.
The procedure is based of the property of perpendicular lines: the product of the slopes of perpedicular lines is negative 1.
If you call m1, the slope of a line and m2 the slope of a perpendicular line, then:
m1 * m2 = - 1, and you can solve for either m1 or m2:
m1 = - (1 / m2)
m2 = - (1 / m1).
With that this is the procedure:
1) find the slope of the "given line". Name it m1.
2) find the slope of the perpendicular line:
m2 = - (1 / m1).
3) Use the equation of the line with the point (x1,y1) and slope m2
y - y1
-------- = m2
x - x1
4) In this case the point is (-4, - 3)=> x1 = - 4, y1 = - 3
=>
y - (-3)
---------= m2
x - (-4)
=> y + 3 = m2 * (x + 4)
=> y = m2*x + m2 * 4 - 3
Which is the point-slope form. You only have to replace m2 with the slope value of the perpendicular line, which I already explained that you find as m2 = (-1/m1).
Taking that the other line has m1 = - 4 so m2 = 1/4
y = (1/4)x + (1/4) * 4 - 3
y = (1/4) (x +4) - 3
y + 3 = (1/4) (x + 4) and answer is:
C ) y + 3 = 1/4 ( x + 4 )
Sure you do !
I'll tell you what it is, and why, and you'll slap your forehead
and call yourself names.
The 'standard' form of an equation that shows the slope and intercept is
y = (slope) x + (intercept)
<em><u>What if the slope is zero</u> ?</em>
Then the equation is y = (0) x + intercept
or
y = intercept.
Does that look anything like y = -3 ?
Answer:
x - 18°F = 2°F
x = 20°F
Step-by-step explanation:
First, write the equation with the information you know. It dropped 18°F from 6 to midnight, and by midnight the temperature was 2°F
Your equation should look like this: x - 18°F = 2°F
Move the constant to the right hand side and change it's sign:
x = 2°F + 18°F
Add the numbers to get x = 20°F
Hope this helped!
