Answer:
The equation of the perpendicular line is 2 x + y + 1 =0
Step-by-step explanation:
Step(i) :-
Given equation of the line 2y = x - 18
x - 2y - 18 =0
The equation of the perpendicular line to the given line
b x - ay +k=0
-2 x - y + k =0 this line is passing through the point ( 0 , -1)
⇒ 0 -(-1) + k=0
⇒ 1+k =0
⇒ k = -1
Step(ii):-
The equation of the line is perpendicular to the line
-2x - y - 1 =0
2 x + y + 1 =0
Conclusion:-
The equation of the perpendicular line to the given line 2 x + y + 1 =0
The required equation of the line [tex]l_1[/tex] is perpendicular line [tex]l_2[/tex] is 2x + y +1 = 0
Given ,
The equation of the line [tex]l_1[/tex] is Y = [tex]-\frac{1}{2} ( X- 18 )[/tex]
We have to find ,
The equation of line which perpendicular to [tex]l_1[/tex] and intersects the Y-axis at (0, -1).
According to the question,
[tex]Y = \frac{-1}{2} (X - 18)[/tex]
2Y = -1 ( X - 18)
2Y = -X + 18
2Y + x - 18 = 0
Then , the given line is perpendicular to the line [tex]l_1[/tex] to line [tex]l_2[/tex]
b = 2 , a = 1 ,
bx - ay + k = 0
2x - 1y + k = 0
The intersection point the Y- axis ( 0 , -1 )
2(0) - 1(-1) + k = 0
0 + 1 + k = 0
k = -1
Put the value of k in equation and write the equation at Y - axis
-2x -y -1 = 0
The required line is 2x+y+1 = 0
The required equation of the line [tex]l_2[/tex] is perpendicular line [tex]l_1[/tex] is 2x + y +1 = 0 .
For the more information about Equation of the line click the link given below.
https://brainly.com/question/21511618
For an equation to have infinitely many solutions, the solution will appear as a ______ statement.
Answer:
true
Step-by-step explanation:
for example, when you solve an equation and you get something like 16=16, which is infinitely many solutions and is also a true statement
find the measurement for angle A
Answer: that is a 45 degree angle
Step-by-step explanation: 90 / 2 is 45
Answer:
∠ A = 44°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180, that is
x + 59 + x + 51 + 84 = 180, simplify
2x + 194 = 180 ( subtract 194 from both sides )
2x = - 14 ( divide both sides by 2 )
x = - 7
Thus
∠ A = x + 51 = - 7 + 51 = 44°
Assume that y varies directly with x. If y=−4 when x=2, find y when x=−6. Enter in any fractions using a / (e.g. "1/2" is the same as 1^/2).
Answer: 12
Step-by-step explanation:
This is a direct proportion and we use the formula:
y = kx
If y = −4 when x=2, we need to find the constant of proportionality. This will be:
y = kx
-4 = 2k
k = -4/2
k = -2
To find y when x=−6 guess this:
y = kx
y = -2 × -6
y = 12
Hence, The value of y = 12 when x = -6.
Given that , Y varies directly with x .
If y=−4 when x=2,
Find y when x=−6.
According to the question,
This is a direct variation , y = kx
If,
y = −4 when x=2,
y = kx
-4 = 2k
[tex]k = \frac{-4}{2}[/tex]
k = -2
To find ;
y when x = −6
y = kx
y = (-2) (-6)
y = 12
Hence, The value of y = 12 when x = -6.
For more information about Direct variation click the link given below.
https://brainly.com/question/13977805
find ten rational number between –3and–2
Answer:
0
Step-by-step explanation:
Factor this expression completely, then place the factors in the proper location on the grid.
x3 - 1
Answer:
(x - 1)(x^2 + x + 1)
Step-by-step explanation:
they said it was the answer.
Edna has a segment with endpoints F(4,9) and G(7,2) that is divided by a point H
Answer:
1/4 is your answer.
Step-by-step explanation:
Find the value of each trigonometric ratio.
A. 15/17
B. 15/8
C. 17/8
D. 8/17
In what quadrant would (9, -13) be located?
Answer:
The point is located in the fourth quadrant because x is positive and y is negative. The quadrants are labeled in counter-clockwise order, starting in the upper-right.
Step-by-step explanation:
Answer:
It would be located in the second quadrant or the one under the positive quadrant
Step-by-step explanation:
Determine if the table shows a linear or an exponential function
Answer:
The table shows an exponential function
Step-by-step explanation:
Linear vs Exponential Functions
A linear function is written as:
[tex]y=mx+b[/tex]
where m and b are constants.
If a table contains a linear function, then for each pair of ordered pairs (x1,y1) and (x2,y2), the value of m must be constant.
The slope can be calculated as:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
An exponential function is written as:
[tex]y=y_o.r^x[/tex]
Where r is the ratio and yo is a constant.
If a table contains an exponential function, for two ordered pairs (x1,y1) and (x2,y2), the value of r must be constant.
The ratio can be calculated as:
[tex]\displaystyle r=\sqrt[x2-x1]{\frac{y2}{y1}}[/tex]
Calculate the slope for (0,4) and (1,2):
[tex]\displaystyle m=\frac{2-4}{1-0}=-2[/tex]
Calculate the slope for (1,2) and (2,1):
[tex]\displaystyle m=\frac{1-2}{2-1}=-1[/tex]
Since the slope is not the same, the function is not linear.
Now calculate the ratio for (0,4) and (1,2)
[tex]\displaystyle r=\sqrt[1-0]{\frac{1}{2}}[/tex]
The radical of index 1 is simply equal to its argument:
[tex]\displaystyle r=\frac{1}{2}[/tex]
Now calculate the ratio for (0,4) and (2,1)
[tex]\displaystyle r=\sqrt[2-0]{\frac{1}{4}}[/tex]
[tex]\displaystyle r=\sqrt{\frac{1}{4}}[/tex]
[tex]\displaystyle r=\frac{1}{2}[/tex]
Testing other points we'll find the same ratio, thus the table is an exponential function
Plz answer this question :) Math
Answer:
B. What is the area of regular polygon
identify the like terms in:
Answer:
bthw like your phone case the answer is ac and hope this helps mark me branliest
Step-by-step explanation:
What does similar mean
resembling without being identical
the nth term of a sequence is 3n²-1
what are the second and fifth terms?
2nd term: 3(2)^2 - 1
5th term: 3(5)^2 - 1
Answer:
11 and 74
Step-by-step explanation:
To find the second and fifth terms substitute n = 2, n = 5 into the rule, that is
a₂ = 3(2)² - 1 = 3(4) - 1 = 12 - 1 = 11
a₅ = 3(5)² - 1 = 3(25) - 1 = 75 - 1 = 74
Please help me! I’ll mark you brainiest
Answer:
c
Step-by-step explanation:
It is given that the line AB is Perpendicular Bisector of IK. It means the line AB is perpendicular on IK and the point J divides the line IK in two equal parts.
If a line is bisector of another line, then the point of intersection divides the second line is two equal parts.
Therefore the distance between intersection point and the endpoints of the second line are the same.
The intersection point is J and the end points of IK are I and K. So, we can say that IJ = JK.
PLEASE HELP QUICK FIND THE y-intercept and the slope and the roc
please don’t do it for the points i actually need help
Answer:
4.5 or 5
Step-by-step explanation:
Acording to your graph it would be whatever point that is one the Y line which is going vertical.
Help plzzzzzzzzzzzzzzz
Answer:
the answer for your question is coordination
each marble bag sold by Lisas marbles company contains three red marbles for every four orange marbles if a bag has 24 red marbles how many orange marbles does it contain
Answer:
32 orange marbles.
Step-by-step explanation:
First set up the proportion given in the problem, since it states that there are three red marbles for every four orange marbles. The ratio between them is 3:4.
This means that you can multiply the given amount of red marbles by 4/3 to find the amount of orange marbles and the given amount of orange marbles by 3/4 to find the amount of red marbles. Because there are 3 red marbles for every 4 orange marbles.
You can divide 32 by 3 to find the factor which is 8 and multiply by 4 to get 32. Because 8 × 3 = 24,
and 8 × 4 = 32.
It can also be thought of as fractions because the proportion is a factor which means that you can multiply and divide to get to a certain value.
So:
3/4 = 24/O
Red marbles / orange marbles = red marbles / orange marbles.
(cross multiply ; numerator times denominator, and denominator times numerator; numerator is the top number, and the denominator is bottom number of a fraction).
3O = 96
÷3 ÷3
O [orange marbles] = 32
What is mQP?
A.) 20°
B.) 70°
C.) 100°
D.) 40°
E.) 80°
Answer:
i think it might be b 70° sorry if it's not
solve 2x-y > 1 for y
Answer:
y<2x−1
Step-by-step explanation:
1 Subtract 2x2x from both sides.
-y>1-2x−y>1−2x
2 Multiply both sides by -1−1.
y<-1+2xy<−1+2x
3 Regroup terms.
y<2x-1y<2x−1
Solve for x: x2 = 16
Answer:
8
Step-by-step explanation:
to get x alone you divide the 2 away on both sides, getting x = 8. To check multiply 8 by 2 and you get 16.
Hope this helps!
Take the root of both sides and solve.
x = 4, −4
Identify the intercepts of the line. 3x+2y=12
Answer:
The x-intercept is ( 4 , 0 ) .
The y-intercept is ( 0, 6 ) .
Step-by-step explanation:
his is the formula for a linear equation in standard form. This is the easiest equation for finding the intercepts. To find the x- and y-intercepts, substitute 0 for one variable, and solve for the other.
X-intercept: value of x when y = 0
Substitute 0 for y and solve for x .
3 x + 2 ( 0 ) = 12
3 x = 12
Divide both sides by 3 .
x = 12 /3
x = 4
The x-intercept is ( 4, 0 ) .
Y-intercept: value of y when x= 0
Substitute 0 for x and solve for y .
( 0 ) + 2 y = 12
2 y= 12
Divide both sides by 2 .
y = 12 /2
y = 6
The y-intercept is ( 0 , 6 ) .
These are the intercepts.
What is the slope of the equation y = 3x + 2?
Answer:
3
Step-by-step explanation:
the equation is y=mx+b
m=slope
so then 3 would be the slope
hope this helps :3
if it did pls mark brainliest
Answer:
3
Step-by-step explanation:
To find the slope, think of the equation used for slope intercept form.
y = mx + b
m is the slope, and b is the y intercept.
In this equation, m = 3
Thus, the slope is 3
∆XWZ≈∆______ by ________
triangle ZYX by HL
triangle ZYX by ASA
Not possible
triangle XYZ by HL
What is the percent of change from 100,000 to 20,000?
400% increase
400% decrease
80% decrease
80% increase
Answer:
That is an 80% increase
What is the shape of the cross section taken perpendicular to the base of a cone?
Answer:
triangle
Step-by-step explanation:
I needddddddd helppppppp.
Answer:
71
Step-by-step explanation:
71
Where is the blue dot on the number line? -1.15 - 1.1 - 1.05
On a two-week job, a repairman works a total of 70 hours. He charges $75 plus $40 per hour. An equation shows this relationship, where x is the number of hours and y is the total fee.
What number is the slope of the line shown by the equation?
Answer:
y=40x+75
40 is the slope and the y-intercept is 75
Which of the following is equivalent to 3x-4y=24
What is the greatest common factor of the terms in the expression 36 a + 54 a b minus 27 b? 9 9ab 18 18a
Step-by-step explanation:
18a is the greatest common factor
Answer:
uhm the last gurl was wrong pretty sure its 9 plain
Step-by-step explanation:
