Answers
Answer:
x + 2y - 3 = 0
Step-by-step explanation:
Coordinates of the points P and Q are (-3, 0) and (0, 6) respectively.
Slope of PQ = (0- 6)/(-3 - 0) = - 6/-3 = 2
Slope of line perpendicular to PQ = - 1/2
Since, required line passes through point R(7, - 2) and is perpendicular to PQ.
Therefore, equation of line in point slope form is given as:
[tex]y - (-2) = - \frac{1}{2} (x - 7) \\ \\ y + 2 = - \frac{1}{2} (x - 7) \\ \\2(y + 2) = - (x - 7) \\ \\ 2y + 4 = - x + 7 \\ \\ 2y + 4 + x - 7 = 0 \\ \\ x + 2y - 3 = 0[/tex]
Therefore x + 2y - 3 = 0 is the required equation of line.
Answer:
Answer:
x + 2y - 3 = 0
Step-by-step explanation:
Coordinates of the points P and Q are (-3, 0) and (0, 6) respectively.
Slope of PQ = (0- 6)/(-3 - 0) = - 6/-3 = 2
Slope of line perpendicular to PQ = - 1/2
Since, required line passes through point R(7, - 2) and is perpendicular to PQ.
Therefore, equation of line in point slope form is given as:
\begin{gathered}y - (-2) = - \frac{1}{2} (x - 7) \\ \\ y + 2 = - \frac{1}{2} (x - 7) \\ \\2(y + 2) = - (x - 7) \\ \\ 2y + 4 = - x + 7 \\ \\ 2y + 4 + x - 7 = 0 \\ \\ x + 2y - 3 = 0\end{gathered}
y−(−2)=−
2
1
(x−7)
y+2=−
2
1
(x−7)
2(y+2)=−(x−7)
2y+4=−x+7
2y+4+x−7=0
x+2y−3=0
Therefore x + 2y - 3 = 0 is the required equation of line.
hope it helps you
Related Questions
Find the requested information based on the given facts.
Total sales is $55,000.
The commission is 3.5%.
Determine the commission.
Answers
Using proportions, it is found that the commission is of $1,925.
What is a proportion?A proportion is a fraction of a total amount, and operations such as multiplication or division are used to find the desired measures in the problem.
One example of application of proportions is for percentage problems, as the percentage is the desired amount divided by the total amount. To find the amount equivalent to a percentage, we multiply the decimal coefficient of the percentage by the total amount.
For this problem, the percentage is of:
3.5%.
Hence the decimal equivalent is:
3.5/100 = 0.035.
The commission is 3.5% of the total sales of $55,000, hence:
C = 0.035 x 55000 = $1,925.
Hence the commission is of $1,925.
More can be learned about proportions at https://brainly.com/question/24372153
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what's the difference between five times a number and twelve
Answers
Step-by-step explanation:
Answer: Difference between five tmes a number and twelve is seven
solve the system of linear equation by graphing
y=x-7
y=-2x+5
Answers
Answer: (4,-3)
jfwfhwghfhkhhhsfufufcbvhvus
Spiral Review. Find the value of the expression below
9 + 4³ x (20 - 8) ÷ 2 + 6
WRONG ANSWERS REPORTED
Answers
Answer:
399
Step-by-step explanation:
9+4^3*(20-8)/2+6
9+(4)(4)(4)(12)/2+6
9+64(12)/2+6
9+768/2+6
15+768/2
15+384
399
if m1=2x° and m3=3x° what is m1
Answers
Answer:
36
Step-by-step explanation:
Using the angle addition postulate
angle 1+angle 2+angle 3=180
Angle 2 is 90 degrees,
Angle 1 is 2x degrees
Angle 3 is 3x degrees
Plug this into equation
[tex]2x + 90 + 3x = 180[/tex]
[tex]5x + 90 = 180[/tex]
[tex]5x = 90[/tex]
[tex]x = 18[/tex]
Plug 18 into 2x
[tex]2(18) = 36[/tex]
A phone company offers two monthly plans. Plan A costs $26 plus an additional $0.13 for each minute of calls. Plan B costs $17 plus an additional $0.18 for each minute of calls. Please help me!
Answers
Answer:
DSC
Step-by-step explanation:
4) -4(2a + 3) ????????????????????
Answers
Answer:
-4(2a + 3)
= -4a(2) -4(3)
= - 8a - 12
Hope it helps!
Step-by-step explanation:
-4(2a + 3)
= -4 × 2a + 3 × (-4) [-4 gets multiplied with both 2a and 3]
= -8a -12 (Ans)
I REALLY NEED YOUR HELP PLEASEEE ASAAAAPPPPP THE QUESTION GOES LIKE THIS, if bob has 1 apple and jimmy has 1 apple what will be the total of all the apples? PLESE HELLPPPPP
Answers
Answer:
2
Step-by-step explanation:
Answer:
the apple will be 1
.............
Which side lengths represent the sides of a right triangle?
A)
1, 1, 2
B)
2, 3,5
C)
5, 12, 13
D)
7, 23, 25
Answers
Answer: the answer is C
Step-by-step explanation:
My friend is a math teacher
Hope this helps
Find the surface area of the pyramid. The side lengths of the base are equal.
there are 3 sides and a bottom
the base is 12 and the height is 17
Answers
Find the midpoint of the line segment from (4,5) to (-4,4)
Answers
9514 1404 393
Answer:
(0, 4.5)
Step-by-step explanation:
The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.
((4, 5) +(-4, 4))/2 = (4-4, 5+4)/2 = (0, 9)/2 = (0, 4.5)\
The midpoint is (0, 4.5).
(2) Find the length of the midsegment. The diagram is not to scale.
Answers
Answer:
D
Step-by-step explanation:
D
Answer:
D i think
Step-by-step explanation:
Jeffrey rented a car for spring break. It costs $100 to rent the car plus $8 per mile he was charged $1,316. How many miles did he drive.
Answers
Answer:
152 miles
Step-by-step explanation:
Answer:
he drived around 300 mile
Cheryl signs up for a savings account that guarantees an increase in her savings at a fixed rate of $15 per month. She plans to withdraw the money when it is more than twice the original amount of $200. Find the least number of complete months that Cheryl has to keep the money in the account for.
Answers
Answer: 14 months.
Step-by-step explanation:
Given: Original amount = $ 200
Fixed rate of growth = $15 per month
Let x be the number of months that Cheryl has to keep the money in the account for.
Then, [tex]200+15x=2(200)[/tex]
[tex]\Rightarrow\ 200+15x>400\\\\\Rightarrow\ 15x >400-200\\\\\Rightarrow\ 15x>200\\\\\Rightarrow x>\dfrac{200}{15}\\\\\Rightarrow x>13.333333\\\\\Rightarrow\ x=14[/tex]
Hence, it will take 14 months .
x2 + 3x + 2 by x + 1
Answers
Answer:
x²+3x+3
Step-by-step explanation:
hope it helps you
please mark me as brainlist
5x+2x+1
7x + 1
Someone plz help me I will give brainliest:)
Answers
"If we leave now," she said. "We'll be right on time."
"Do you have dear Mr. Henshaw? Alice, ask the clerk."
Blvd.
add ness to strange making it strangeness
I think that the broken tv is the subject
Answer:
1) "If we leave now" she said, "We'll be right on time.
2) "Do you have deer, Mr. Henshaw?" Alice asked the clerk.
3) blvd.
4) Er (Strang-er)
5) Television
Step-by-step explanation:
Hope this Helps!!:D
please help ! 2.5 : 12.5 reduce the following into ratio of whole number.??
Answers
Will give brainliest!
Answers
B) x = 4
C) y = 4
D) y = -2
E) y = -3/4x + 1
Answer:
Step-by-step explanation:
Equation for line a:
x = - 4
Equation for line b:
x = 4
Equation for line c:
y = 4
Equation for line d:
y = - 2
Equation for line e:
y = − 0.75x + 1
Three calculators cost as much as seven mugs. Each calculator costs $12 more than each mug. What is the cost of one mug?
Answers
Answer:
3.60
Step-by-step explanation:
3c=7m
c=m+12 solve for m
To obtain the value of one unknown quantity linear equation in one variable can be formed. The cost of one mug is given as $21.
What is a Linear equation?A linear equation is a equation that has degree as one.
To find the solution of n unknown quantities n number of equations with n number of variables are required.
Given that,
The cost of 3 calculators = The cost of 7 mugs.
The cost of each calculator is $12 more than each mug.
Suppose, cost of each mug be x.
And, cost of each calculator is x + 12.
As per the question the following equation can be made,
7 ×(x + 12) = 3x
=> 7x - 3x = 84
=> 4x = 84
=> x = 21.
Hence, the cost for one mug is $21.
To know more about linear equation click on,
brainly.com/question/11897796
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Find the area of the semicircle. 10
Answers
Exact Area = 25pi square units
Approximate Area = 78.5 square units
The approximate value is found using pi = 3.14
====================================================
Explanation:
I think you meant to say "quarter circle" instead of "semicircle".
The area of a full circle with radius r = 10 is
A = pi*r^2
A = pi*10^2
A = pi*100
A = 100pi
But we only want one quarter of this. So we divide the full area by 4
(100pi)/4 = (100/4)pi = 25pi
The exact area in terms of pi is 25pi square units
If we used the approximation pi = 3.14, then we can say 25*pi = 25*3.14 = 78.5 is the approximate area
To get a better approximation, use more decimal digits in pi.
How many 3/4 pound weights can be made from 6 pounds of steel?
Answers
Answer:
8
Step-by-step explanation:
Mr. Evans rides his bicycle an average speed of 8 km/hr. How far has he
traveled if he rides 4 hours?
Answers
What is the value of (Negative one-half)–4?
-16
Negative StartFraction 1 Over 16 EndFraction
StartFraction 1 Over 16 EndFraction
16
Answers
Answer: D
The answer is D, 16
Answer:
D is correct.
Step-by-step explanation:
welcome have a good day.
what is the product of 3.54 and 3.7? show work / explain please!
Answers
Picture with working out
what is the equation of a line that passes through points (0,7) and( 2,8)write your answer in slope intercept form
Answers
Answer:
(0,7) and (2,8)
slope =8-7=1
2-0=2
m=1/2 meaning slope
equation=y-7/x-o=1/2
2(y-7)=1(x-0)
2y-14=x -o
2y=1x +14
y =1/2 x +7
Step-by-step explanation:
to get the slope is y 2-y 1 divide by x 2-x 1 to get 1/2
you then take one point as (x,y) and one of the coordinates =the slope
then you divide by the 2 on both sides in order to get y=mx + c
Find the approximate perimeter of △ABC plotted below.
Answers
Answer:
The perimeter of triangle ΔABC is approximately;
(A) 20.0
Step-by-step explanation:
In ΔABC, the coordinates of the vertices are given as follows;
A(-4, 1), B(-2, 3), C(3, -4)
The length, 'l', of the sides of the triangle with known 'x', am]nd 'y' coordinates are given as follows;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Therefore, we have;
The length of segment [tex]\overline {AB}[/tex] = √((3 - 1)² + (-2 - (-4))²) = 2·√2 ≈ 2.83
The length of segment [tex]\overline {BC}[/tex] = √(((-4) - 3)² + (3 - (-2))²) = √74 ≈ 8.6
The length of segment [tex]\overline {AC}[/tex] = √(((-4) - 1)² + (3 - (-4))²) = √74 ≈ 8.6
The perimeter of a geometric shape is equal to the sum of the length of sides of the figure
The perimeter of triangle ΔABC = (The length of segment [tex]\overline {AB}[/tex]) + (The length of segment [tex]\overline {BC}[/tex] ) + (The length of segment [tex]\overline {AC}[/tex])
∴ The perimeter of triangle ΔABC = 2·√2 + √74 + √74 ≈ 20.0.
Answer: 20.0
Step-by-step explanation: Khan Academy
Determine how many lines of symmetry each object has
Answers
Could someone please help me with this
Answers
The first number is 3 and the second is 18
help me out pls (math so imp)
Answers
Step-by-step explanation:
use the formula to calculate area of triangle.
Cole rides his bike to the ballfield starting from home. This
describes his trip:
A. Rides quickly downhill toward the field
B. Stops to wait for a friend
C. Rides slowly uphill toward the field
Drag a segment to each box to show the shape of the graph of
Cole's distance from home for each interval of time.
Describe the lines to chose as line 1 2 etc please
Answers
Answer: first line will be the on down the the right line 3... next the one with the straight line line 1 ..... then the fourth line slowly back upward
Step-by-step explanation:
Answer:
PartA: /
PartB: __
PartC: / its this one but less steeper(the second to last answer on the right)
Step-by-step explanation:
