Answer:
Step-by-step explanation:
The perpendicular lines have opposite reciprocal slopes.
<u>The given line has a slope of:</u>
<u>The perpendicular slope is:</u>
<u>And its y-intercept is:</u>
<u>The line is:</u>
<u>Convert this into standard form and compare with answer choices:</u>
- 3y = 2x + 21
- - 2x + 3y = 21
Correct choice is A
Answer: B. The rate is 2, the initial value is 4, and the specific value is 6.
Step-by-step explanation:
for a linear function y = a*x + b
Rate = coefficient that is multiplicating the variable. ( a in this case)
Initial value = value taken of y, when we have x = 0 (b in this case)
Specific value = value forced on y.
In this case, we have:
y = 6 = 2*x + 4
Then:
The coefficient multiplicating x is 2, so the rate is 2.
The constant term is 4, so the initial value is 4.
The value equal to y is 6, so the specific value is 6.
The correct option is B.
Answer:
(0.5, 0.5)
Step-by-step explanation:
draw lines in the middle of each side and the points line up in one spot
Answer:
The value of 
is 17-18x and 
is -7-18x.
Step-by-step explanation:
It is given in the question functions f(x) as 3x+2 and g(x)=5-6x.
It is required to find and .
To find , substitute g(x) for x in f(x) and simplify the expression.
To find , substitute f(x) for x in g(x) and simplify the expression.
Step 1 of 2
Substitute g(x) for x in f(x) and simplify the expression.
Step 2 of 2
Substitute f(x) for x in g(x) and simplify the expression.
Answer:
Step-by-step explanation:
Comment
The basic equation of a circle is
(x - a)^2 + (y - b)^2 = r^2
a and b are the coordinates of the center of the circle
r is the radius.
Development of the equation
r = 1 - 1/2 = 1/2. r is the distance between the red dot and the blue dot.
So far what you have is (x - a)^2 + (y - b)^2 = (1/2)^2
The center is the red dot.
x = 1
y = - 1
Answer: (x - 1)^2 + (y + 1/2)^2 = 1/4
