Answer:
A straight line can be drawn through all the points and the line passes through the origin.
5
Simplify —
4
Equation at the end of step 2 :
5 6
(w - — ) - — = 0
4 7
Step 3 :
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 4 as the denominator :
w w • 4
w = — = —————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
w • 4 - (5) (4w - 5
)
——————————— = ——————
4 4
Equation at the end of step 3 :
(4w - 5) 6
———————— - — = 0
4 7
Answer:
B. f(-5) = -70
Step-by-step explanation:
f(-5)= 10(-5) - 20
f(-5) = -50 - 20
f(-5) = -70
In word problems on topics of trigonometry, the terms of angle of depression and angle of elevation are very common. The angle of depression is used when the observer is above the point of reference. The angle made from the observer to the object is the angle of depression. To understand more clearly, refer to the attached picture.
Suppose the dog is on the top vertex of the triangle while the cat is the rightmost corner of the triangle. The angle denoted as x° is the angle of depression. To determine this, we use the tangent function. The tangent of an angle is the ratio of its opposite side to its adjacent side.
tanx° = 16/4.5
x = 74.29°