The equation of a line is y=-1/4x-7, (option 1)
<h3>
What is the equation of a line? </h3>
A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis.
<h3>
How do you find the equation of a line?</h3>
Write the equation in the form y = mx + b to find the slope m and the y-intercept. This will allow you to graph the equation using the slope and y-intercept.
Given:-
Equation of the line is y=4x+8
The point through which the line passes (-8,4).
here the slope of the line is m1=4
To find the perpendicular line we know the formula
m1*m2=-1
By putting the value of m1 we get m2= -1/4
By using the one-point formula of the line we have
=>(y-y1)=m2*(x-x1)
By putting the values of y1 and x1 we get
(y1,x1)=(-8,4)
=>(y+8)=-0.25*(x-4)
y+0.25x+7=0
Hence the desired equation of the line is y=-1/4x-7
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Answer:
(x+4)^2 + (y-6)^2 = 29
Step-by-step explanation:
The center-radius form of the circle equation is in the format (x – h)^2 + (y – k)^2 = r^2, with the center being at the point (h, k)
Replacing the center C(-4,6):
(x+4)^2 + (y-6)^2 = r^2
then replacing the point (-3,1):
(-3+4)^2 + (1-6)^2 = r^2
1 + 25 = r^2
then the equation of the circle is:
(x+4)^2 + (y-6)^2 = 29
Given situation: There were 548 films released in 2011. Rated PG were approximately 8.75% of the released movie.
Question: Find how many PG movies were released in 2011. PG means Parental guidance.
Solution,
=> 8.75% = 8.75 / 100 = 0.0875
=> Now, let’s multiply this decimal number to the total number of films released.
=> 548 * 0.0875
=> 47.95. Round off to 50.
Thus, there were approximately 50 films released that were Rated PG.
Answer:
We need to know what expressions we can select from to help you. Sorry!
Step-by-step explanation:
The measures of angle <MRS is 78degrees
The line that bisects an angle divides the angle into two equal parts;
From the given diagram, the expression is true;
<MRT + <TRS = <MRS
Given the following parameters
<MRT = 54degrees
- If Q is a point on the bisector of <TRS, then <TRQ = <QRS
- Since <QRS = 12 degrees, hence <TRS = 12.
- <TRS = <TRQ + <QRS = 24degrees
Get the measure of <MRS
<MRS = <MRT + <TRS
<MRS = 54 + 24
<MRS = 78dgrees
Hence the measure of angle <MRS is 78degrees
Learn more here: brainly.com/question/17247176
