Answer:
-7/5.
Step-by-step explanation:
Leave the denominators the same and subtract only the numerators. Since -3 is negative and 4 is a positive being subtracted, you get -7 as the numerator. So, it's -7/5.
Answer:
137.4 meters
Step-by-step explanation:
In this case, they give us the height of the lighthouse that corresponds to 50 meters and the depression angle is 20 °, in this case we can apply the tangent trigonometric function, which relates the opposite side to the adjacent side.
tan a ° = opposite / adjacent
the horizontal that is formed would be the adjacent side, therefore if we solve we are left with:
horizontal distance = opposite / tan to °
replacing, we are left with:
hd = 50 / tan 20 °
hd = 50 / 0.3639
hd = 137.4
the horizontal distance is equal to 137.4 meters
Plot the intercepts:
y=-1
x=?
to find the x intercept, you dont solve the equation as it is solved in the slope-intercept form. instead, you simply plug in 0 for y:
0=1/4x-4
0=1/4x-4+4
4=1/4x
4/1/4=1/4x
1/4=0.25
x=16
revise:
y=(0, -1)
x=(16,0)
graph the slope for y=-1/2x-1: start from say point (0,-1)
graph the slope for y=1/4x-4: start from say point (16,0) ; you can just ise the intercept (0,-4) since the graph is diluted small...anyways
the points intersect at (4, -3) so thats the solution to the equations
NOTE: when graphing slopes that are negative either the numerator or the denominator can be graphed negative. so I graphed the first equation with the numerator as the positive and the denominator as the negative : rise= 1 ; run: -2. once i got to the end of the provided graph i started from the -1 y-intercept again and graphed the equation using: rise=-1; run=2
*graphing messes me up, too*
Answer:
7<em><u>f</u></em>
Step-by-step explanation:
You move 7 to the left of <em>f. </em>
This makes the exact value of <em>f</em>(7), 7<em>f</em>.