Answer:
y = (-2/3)x + 5
2y=3x-6 Then divide by 2. y=3/2x-6 Now it is in slope-intercept form. The slope for this particular equation is 3/2 (m). The slope of a line that is perpendicular to this would be -2/3, the negative reciprocal of 3/2.
Step-by-Step:
HOPE THIS HELPED!!!
Answer:-4
Step-by-step explanation:
-1 +-4 is -5 and 6/7 + 1/7 =1 so -5 +1=-4
Answer:
Step-by-step explanation:
1. 2( 2d + 2)
2.w + 12
Triangle ABC is an isosceles triangle.
Solution:
Given data:
∠ABC = 70° and ∠ACD = 55°
<em>If two parallel lines are cut by a transversal, then alternate interior angles are congruent.</em>
m∠BAC = m∠ACD
m∠BAC = 55°
<em>Sum of the angles in a straight line add up to 180°.</em>
m∠ACD + m∠ACB + m∠ABC = 180°
55° + m∠ACB + 70° = 180°
m∠ACB + 125° = 180°
Subtract 125° from both sides, we get
m∠ACB = 55°
In triangle ABC,
∠BAC = 55° and ∠ACB = 55°
∠BAC = ∠ACB
Two angles in the triangle are equal.
Therefor triangle ABC is an isosceles triangle.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The point of diminishing returns (x , y ) is (11, 21462)
Step-by-step explanation:
From the question we are told that
The function is 
Here R(x) represents revenue (in thousands of dollars) and x represents the amount spent on advertising (in thousands of dollars).
Now differentiating R(x) we have

Finding the second derivative of R(x)

at inflection point 
So 
=> 
substituting value of x into R(x)


Now the point of diminishing returns (x , y ) i.e (x , R(x) ) is
(11, 21462)