Answer:
x = -12
Step-by-step explanation:
4/3x + 12 = - 4 (multiply 3 both side)
4x + 36 = - 12 (minus 36 both side)
4x + 0 = -12
4x = -12 - 36
4x = - 48 (divide both side)
4x ÷ 4 = x
-48 ÷ 4 = -12
Answer: x = -12
In a rational function, holes are located where f(x) is undefined(the denominator is 0), but the undefined points can be factored out. In f(x), when x is 4 or -3, f(x) is undefined. But, x+3 can be factored out, so it is a hole. The hole is located at (-3,-1/7)
Answer:
1 3/4
Step-by-step explanation:
For every cup of flour the recipe uses, it uses 3/4 cups of sugar. So, 1 cup of flour plus 3/4 of sugar is 1 3/4.
Answer:
723.53 m^2
Step-by-step explanation:
The area is the product of the width and length. Each foot is 0.3048 meters, so the area in square meters is ...
(59 ft·0.3048 m/ft)·(132 ft·0.3048 m/ft) ≈ 723.53 m^2
Answer:
1. ∠ABD = 20°.
2. Arc AB = 140°.
3. Arc AD = 40°.
Step-by-step explanation:
Given information: ∠ADB = 70°. BD is diameter.
According to Central angle theorem, the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points.
By Central angle theorem,
Using angle sum of property in triangle ADB we get,
.
Draw a line segment AO.
In triangle AOD, AO=OD, so
Using angle sum property in triangle AOD,
Therefore length of arc AD is 40°.
The angle AOD and AOB are supplementary angles.
Therefore length of arc AB is 140°.