Answer:
y = -1/4x - 10
Step-by-step explanation:
<em>Hey there!</em>
<em />
Well to the slopes of 2 perpendicular lines are reciprocals of each other meaning if the line has a slope of 4 then it’s perpendicular line has a slope of -1/4.
Now to find the y intercept we need to graph,
y = -1/4x and point (4, -11)
Look at the image below.
By looking at the image below we can tell that in order for the perpendicular line to go through point (4,-11) it would be -10.
The equation is y = -1/4x - 10
<em>Hope this helps :)</em>
Multiply f/6 by 6 to get f by itself
f=2.5 ×6
f= 15
C = 2 * pi * r
C = 2 * pi * 18
C = 36pi or C
Answer:
See the three answers with their explanation below
Explanation:
<u>a. To eliminate the fraction from each side you multiply both sides by the least common denominator of the fractions of the two sides.</u>
In this case it is 2×3 = 6
See how you do it:
<u>b. This word problem would lead to the given equation:</u>
Half the age of Alice 4 years ago equals 2 more than one third of her current age.
- Current age: x
- Age four years ago: x - 4
- Half the age of Alice four years ago:
- 2 more than one third of her current age:
Equality condition:
<u>c. Solution</u>
Meaning: Alice is currently 24 years old.
Answer:
<h2>m∠ABD = 20°</h2>
Step-by-step explanation:
If m∠ABC = 40° and BD is the bisector of ∠ABC, then
(1) m∠ABD = m∠DBC
(2) m∠ABC = m∠ABD + m∠DBC
From (1) and (2) we have:
m∠ABC = 2m∠ABD
Therefore
2m∠ABD = 40° <em>divide both sides by 2</em>
m∠ABD = 20°
