The equation of the line that passes through P and is perpendicular to PQ is y=-1/3x+12.
Given that, the line PQ has equation y = 3x - 8 and point P has coordinates (6, 10).
We need to find the equation of the line that passes through P.
What is the condition of slope for perpendicular lines?The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has a slope of m, then the slope of the line is -1/m.
Here, the slope of the equation is 3.
The equation of the line that passes through P and is perpendicular to PQ is -1/3.
Now, 10=-1/3(6)+c
⇒c=12
Thus, y=-1/3x+12
Therefore, the equation of the line that passes through P and is perpendicular to PQ is y=-1/3x+12.
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solve the inequality 10p- 8≥ 12
c = the number of Nora's coworkers who attend the picnic v = the number of veggie burgers Nora prepares Which of the variables is independent and which is dependent?
Answer: Independent variable = c
Dependent variable = v
Step-by-step explanation:
The independent variable does not depend on any other variable.Dependent variable dependent on another variable.Given variables:
c = the number of Nora's coworkers who attend the picnic
v = the number of veggie burgers
Here the number of burgers required is dependent on the number of Nora's coworkers who attend the picnic.
Therfeore, Independent variable = c
Dependent variable = v
Last year, a computer store sold 200 laptops at the price of $1,000 per laptop. The store manager is planning for the upcoming year. She creates the graph
shown below of the projected revenue from the sales of laptop computers for next year depending on the price increase per laptop.
Answer:
The maximum revenue of $225,000 occurs when the laptops are priced at $1,250.
Step-by-step explanation:
The vertex of the parabola shows that; maximum revenue of $225,000 occurs when the laptops are priced at $1,250.
What does the vertex of the parabola represent?We are given a graph titled projected laptop revenue based on price with price increase per laptop on the x-axis and total revenue from laptop sales on the y-axis.
Now, the vertex of the parabola is the peak of the parabola and from the coordinates on the graph, we can conclude that maximum revenue of $225,000 occurs when the laptops are priced at $1,250.
Read more about parabola vertex at; https://brainly.com/question/17987697
Use the Distance Formula to find the distance between each pair of points. Round to the nearest tenth if necessary.
5. P(1, 1), Q(–1, –1)
6. E(1/2,4 1/4),F(5,-1/2)
Given:
The pair of points.
5. P(1, 1), Q(–1, –1)
6. [tex]E\left(\dfrac{1}{2},4\dfrac{1}{4}\right), F\left(5,-\dfrac{1}{2}\right)[/tex]
To find:
The distance between the pair of points.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
5.
The distance between the pair of points P(1, 1) and Q(–1, –1) is:
[tex]PQ=\sqrt{(-1-1)^2+(-1-1)^2}[/tex]
[tex]PQ=\sqrt{(-2)^2+(-2)^2}[/tex]
[tex]PQ=\sqrt{4+4}[/tex]
[tex]PQ=\sqrt{8}[/tex]
[tex]PQ=2\sqrt{2}[/tex]
Therefore, the distance between P and Q is [tex]2\sqrt{2}[/tex].
6.
The distance between the pair of point [tex]E\left(\dfrac{1}{2},4\dfrac{1}{4}\right), F\left(5,-\dfrac{1}{2}\right)[/tex] is:
[tex]EF=\sqrt{\left(5-\dfrac{1}{2}\right)^2+\left(-\dfrac{1}{2}-4\dfrac{1}{4}\right)^2}[/tex]
[tex]EF=\sqrt{\left(\dfrac{10-1}{2}\right)^2+\left(-\dfrac{1}{2}-\dfrac{17}{4}\right)^2}[/tex]
[tex]EF=\sqrt{\left(\dfrac{9}{2}\right)^2+\left(\dfrac{-2-17}{4}\right)^2}[/tex]
[tex]EF=\sqrt{\dfrac{81}{4}+\left(\dfrac{-19}{4}\right)^2}[/tex]
On further simplification, we get
[tex]EF=\sqrt{\dfrac{81}{4}+\dfrac{361}{16}}[/tex]
[tex]EF=\sqrt{\dfrac{324+361}{16}}[/tex]
[tex]EF=\sqrt{\dfrac{685}{16}}[/tex]
[tex]EF=\sqrt{42.8125 }[/tex]
[tex]EF\approx 6.5[/tex]
Therefore, the distance between E and F is 6.5 units.
There were 110 cupcakes at the school bake sale last year. If they sold 70% of the cupcakes, how many cupcakes did they sell?
Answer:
77%
Step-by-step explanation:
Solve for x, 8+2/7x=12?Help?
Answer:
X= 14
Step-by-step explanation:
Answer:
Exact form X=1/14
Decimal form x=0.0714285
The volume of a gas was measured as
its temperature was increased from 10°K
to 15°K at intervals of 1°K. The volumes
were 1.5, 2.2, 3.38, 5.1, and 7.6 cm.
Would a linear or exponential function
better approximate the data described?
Explain why.
what's the answer to this one ?
Answer:
59 degrees
Step-by-step explanation:
There are 360 degrees in a circle. Each arc with a known measure adds up to 242 degrees. To find the measure of the third remaining arc DC, we have to subtract 242 from 360, which leaves us with 118 degrees. The inscribed angle theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. This means we have to divide 118 by 2 to find the value of DC's associated inscribed angle. This leaves us with 59 degrees.
express a-9 with a positive exponent
Answer:
[tex]a-9^{1}[/tex]
Hope that helps!
Step-by-step explanation:
Answer: [tex]a-9^{1}[/tex]
help please help this is the last question i have for tonight and im struggling big time respost becuz i have one try left aagsggh
Answer:
what did you tried last time
7 (1) = 7 is an example of what property?
Answer:
Identity property
Step-by-step explanation:
Identity property of multiplication: The product of 1 and any number is that number. For example, 7 × 1 = 7 7 \times 1 = 7 7×1=77, times, 1, equals, 7.
I hope it's helpful!
the tiles on cathy's bathroom floor are square shaped and each tile covers an area of 90 square inches. simplify an expression to represent the side length of each tile.
Answer:
[tex]\huge\boxed{\sf L = 3\sqrt{10} }[/tex]
Step-by-step explanation:
Area of a square tile = 90 square inches
Let the side length of tile be "L"
Condition:
Area = 90
L * L = 90
L² = 90
Taking sqrt on both sides
L = √90
L = 3√10
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807What value of x makes this equation true? 2/3x - 5 = 1/6x + 3
Answer:
x=16
Step-by-step explanation:
HELP PLEASE
x^2-2x-5
Step-by-step explanation:
the answer for this question is -6x
Help ASAP! Thanks
Find the lateral area of this cone.
Leave your answer in terms of pi
15cm
8cm
Answer: i think its 17
Step-by-step explanation:
A bookstore pays $8 for a novel. They add a $3 markup to the price. What is the
percent of markup?
Answer:
37.5 percent markup
Step-by-step explanation:
hope this helps
Question A bookstore pays $8 for a novel. They add a $3 markup to the price. What is the percent of markup?
Answer: 37.5%
-Tay did this
A recipe calls for 10 cups of flour to make 50 pancakes. How many pancakes can be made with a single cup of flour?
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
With a 1:5 ratio of flour to pancakes, 5 would be the correct answer
PLEASE HELP ASAP ILL GIVE BRIANLIEST AND ACTUALLY HELP PLEASE
A parallelogram is translated 2 units to the right and 1 unit down and then rotated 90 degrees clockwise about the origin. Choose True or False for each statement about the image compared to the original. same orientation O True O False
True The whole statement is true.
False Some of the statement is false.
A terça parte desse número e igual a cento e vinte?
Is this correct?????
Answer:
yeah i think so
Step-by-step explanation:
Answer:
it is correct jbhsjsshsusuwwy
4.6 isosceles and Equilateral Triangles
Step-by-step explanation:
3).20⁰
4).60⁰
180-70+70_180-140__20
Help! brainliest stars and hearts if correct! Please Area and perimeter! Please explain!
Answer:
Perimeter = 14 in
Area = 8 in^2
Step-by-step explanation:
Area = 2x2 + 4x1 = 8 in^2
Perimeter = 2+2+2+2+1+4+1 = 14 in
Answer:
The area is 8 square inches and the perimeter is 16 square inches.
Step-by-step explanation:
First, find the area.
We can find the area of the rectangle at the bottom pretty easily. Since half of the length of the bottom rectangle measures 2 inches, the full length would be 4 inches.
4 ⨯ 1 = 4
So, the area of the bottom rectangle is 4 square inches.
For the square on top, all you have to do is multiply 2 ⨯ 2, because there is no missing length we need to find out.
2 ⨯ 2 = 4
Now, we have to add 4 + 4, because the two quadrilaterals are joined together.
4 + 4 = 8
So, the area of the shape is 8 square inches.
Now, let's find the perimeter. We already know that the bottom rectangle's length is 4 inches, and that the sides are 1 inch tall. The square is 2 inches all around, so, no problems there.
Add the side measurements, not including the 2 inches at the bottom of the square because that side is inside the big shape.
2 + 2 + 2 + 4 + 1 + 4 + 1 = 16
So, the perimeter of the shape is 16 inches.
Five times a number decreased by nine is equal to twice the number increased by 23. Which equation could be used to solve the problem?
Answer:
5x - 9 = 2x + 23
Step-by-step explanation:
x = a number
5 times x = 5x
decreased by 9 = - 9
=
2 times x = 2x
increased by 23 = + 23
Answer:
Step-by-step explanation:
The answer is B. 5x – 9 = 2x + 23. i just took the test.
find the value. please help!
Ten out of every 32 people
surveyed play Among Us.
What percent of people
surveyed play Among Us?
Please help
Answer:
31.25%
Step-by-step explanation:
Man its the search engine
Great brushwork btw
what does inversely proportional mean
what is the answer to
(6x10x^{-5})x(8x10x^{7} )
written in standard form?
Answer:
standard form is 48x^23
Ms. Abreau is flying to Florida for the 90° Angle Conference, where the temperature s just right. Her plane is 1200 feet in the air and the runway is 3400 feet horizontally away. What is the angle of depression formed from the plane to the runway ? Round to the nearest tenth if necessary and just the number please in your answer, we know it is degrees.
Answer:
19.4 degrees
Step-by-step explanation:
Using the SOH CAH TOA trigonometry identity
Given
Height of plane from the ground= 1200 = adjacent
Horizontal distance = 3400ft = Adjacent
Required
angle of depression theta
tan theta = opp/adj
tan theta = 1200/3400
tan theta = 12/34
tan theta = 0= arccos.3529
theta= (0.3529)
theta = 19.4 degree
Hence the angle of depression is 19.4 degrees
help you will get brainliest if you are right
Step-by-step explanation:
1-b 2-c 3-d 4-a yep I belive this is correct sorry if I'm wrong
Is it true or false?
Answer:
false (this is what I believe)
Step-by-step explanation:
because participant 1 has 7 squares and he almost does the same as participant 2 and he only has 5 squares which means participant 2 I'd faster
Answer:
false (i think im not really good with math)
Step-by-step explanation: