Here's a question ~
p1 and p2 are points on either of the two lines
[tex]y - \sqrt{3} |x| = 2[/tex]
at a distance of 5 units from their point of point of intersection. Find the coordinates of the foot of perpendiculars drawn from p1 , p2 on the bisector of the Angle between the given lines.
Answers
Answer:
(0, 5√3/2 + 2)Step-by-step explanation:
Given is the absolute value function.
Observations:
It has a slope of ±√3 and the y- intercept of 2.There is no horizontal shift, so the the y-axis is the line of symmetry.The y-axis is also an angle bisector of the two lines.The foot P₁P₂ is parallel to the x-axis since it's perpendicular to the y- axis.We need to find the coordinates of intersection of the line P₁P₂ with the y- axis (the point Y in the picture).
Consider the triangle AYP₂.
We know AP₂ = 5.
The angle YAP₂ is:
arctan (1/√3) = 30°The distance AY is:
AY = AP₂ cos 30° = 5*√3/2The distance from the x-axis to the point Y is:
5√3/2 + 2, added the y- intercept of the graphed linesThe coordinates of the point Y:
(0, 5√3/2 + 2)![Here's A Question ~p1 And P2 Are Points On Either Of The Two Lines [tex]y - \sqrt{3} |x| = 2[/tex]at](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/3sRJYj4psBXilE5F0f17XUakOdaa97fB.jpeg)
Related Questions
you run 15 miles in 150 minutes your brother runs 30 miles in 300 minutes are the rates proportional?
Answers
Answer:
im not sure on how to answer that
Step-by-step explanation:
Find the average rate of change of the function from X1 to X2.
Function
f(x) = -7x + 16
x-Values
X1 = 0, X2 = 3
Answers
Answer:
75-82, in Exercises 75-82, find the average rate of change of the function from x1 to x2. function f(x) = 3x +8 x-values x1=0, x2=3
Refer to Exhibit 11-4. If a person's taxable income is $50,000, how much does he pay in taxes?
$9,250
$10,110
O $15,000
O $12,500
Answers
Based on the exhibit attached, we can calculate that a person earning $50,000 will pay $9,250.
People earning $50,000 fall into the $42,001 - $100,000 bracket which means that they pay $7,250 + 25% of everything over $42,000.
The amount of taxes is:
= 7,250 + ( 25% x (50,000 - 42,000))
= 7,250 + (25% x 8,000)
= $9,250
In conclusion, the person would pay $9,250 in taxes.
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Equivalent (-1)+10+9 please
Answers
Answer:
18
Step-by-step explanation:
1) Simplify the expression
-1 + 10 + 9
9 + 9
18
Find the measure of each numbered angle if m<1=72 and m<3=26.
<2=?
<4=?
Answers
Answer:
Step-by-step explanation:
<2=2*1
<4= 2*2
NEED ASAP IT WAS DUE LAST WEEK
1.Explain why the equation (x-4)^2-28=8 has two solutions. Then solve the equation to find the solutions. Show your work.
Answers
Sorry if it’s hard to see
WILL GIVE BRAINLIEST!!!
Distributive property quick check. Simplify: 1/2 (6z+10). Simplify: 10(5+2x). Simplify: 3(5y+6)-4. Simplify: (3a+2)(4).
Answers
Answer:
1: 3z+5
2: 50+20x
3: (15y+18)-4
4: 12a+8
express ratio as a fraction in simplest form
a. 10 yards to 10 feet
hint *there are 3 feet in every 1 yard
Answers
Answer:
[tex]\frac{3}{1}[/tex]
Step-by-step explanation:
The dimensions must be the same
10 yards = 10 × 3 feet = 30 feet
ratio = [tex]\frac{30}{10}[/tex] = [tex]\frac{3}{1}[/tex]
If a line has a slope of 4 and a y-intercept of 3, what is the equation of that line in slope-intercept from???
Answers
Answer:
y=3x-4
Step-by-step explanation:
What is the measure of the
third angle of this triangle?
Answers
Answer:
20 degrees
Step-by-step explanation:
180-120-40=20
A car has a 16 gallon fuel tank when driving on a highway it has a gas milage of 30 miles per gallon how many miles has a car traveled if it has 2.5 gallons of gas left in the tank
Answers
Answer:
The car has traveled 405 miles if it has 2.5 gallons of gas left in the tank.
Step-by-step explanation:
16 - 2.5 = 13.5 ( The amount of gas the car has already used )
30 * 13.5 = 405 ( How far the car traveled with 13.5 gallons of gas )
Hope this helps!
James wants to buy a new cell phone package. There are three packages available, each offering a different deal.Package 1$160 for 4 monthsPackage 2$128 for 4 monthsPackage 3$60 for 2 monthsWhich package offers the best deal?A.Package 3B.Package 1C.Package 2D.Both Package 1 and Package 2
Answers
Answer:
to get which one is the best we have to bring them packages to the same terms
so to do that we have to find what each package offers per month by divided the amount by the number of months
so
160/4= 40
128/4=32
60/2=30
so the best package is
B. package 1
will mark as brainliest if correct, 20 points
Answers
Answer:
D. [tex]4\frac{1}{16}[/tex]
Step-by-step explanation:
Substitute the given value into the function and solve.
Help me I don't understand
Answers
Answer:
For first equation: it would be 5^2 which is 25 so 25 - 9 = 16 then 2(4 - 3) = 2 x 4-3 = 2 x 1 = 2 so 16 divided by 2 = 8
For brainily please help
Answers
Answer:
FH is the smallest side.
Step-by-step explanation:
This is called the relation between angles and sides where the smallest angle will have the smallest side opposite one another.
That means if measure G is the smallest then FH is the smallest side as FH is the opposite of measure G.
You can also say GH is the biggest or largest side since GH is opposite of measure F and measure F has the biggest angle.
So, FH is the smallest.
So FH is the correct answer.
Solve using order of operations: 72/8+6/3-4(10)
Answers
Answer:
the answer is -29
Step-by-step explanation:
Herman buys a pair of pants for 39.95 and a few shirts for 19.95 each. Write an equation to represent the total cost of the purchase
Answers
Answer:
39.95+(how many shirts times 19.95)
Step-by-step explanation:
Solve the equation.
y + 6 = -3y + 26
O y=-8
O y=-5
O y = 5
O y = 8
Answers
The solution of Equation is y=5.
The correct option is C.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have,
y+ 6 = -3y + 26
Now, solving for y we get
y + 3y= 26 - 6
4y= 20
y= 20/4
y= 5
Thus, the value of y is 5.
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Determine if I Il m based on the information given on the diagram. If yes, state the converse that
proves the lines are parallel.
Answers
Answer:
I believe, that they are parallel because they both have 90° angles meaning that the other angle has to be 90° as well. I dont really know how to explain it but they are both in the same position and have 90° angles im not the best with these. •So im not exactly sure if this is correct though.
-They also have corresponding and congruent angles that do match up, so yes they are parallel to eachother
ive answered a and b but struggling to answer c. how do you work it out?
Answers
Answer:
-2, 1.5
Step-by-step explanation:
(y1 + y2)/2 = y midpoint formula
so, (-1 + 4) = 3
3 / 2 = 1.5
y = 1.5
Step-by-step explanation:
To find the midpoint:
Use the formula;
d = (x2 + x1)/2, (y2 + y1)/2 where x2 = -2, x1 = -2, y1 = -1, y2 = 4
Substitute the values into the equation above. This gives;
d = (-2 + -2)/2, (4 + -1)/2
= (-4/2), (3/2)
=(-2, 1.5) <<<<<<< ✓ Ans
I hope this helps. Thank you
Please Help!
Which ordered pair is a solution of the equation?
y=8x+3y=8x+3y, equals, 8, x, plus, 3
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Only (1,11)(1,11)left parenthesis, 1, comma, 11, right parenthesis
(Choice B)
B
Only (-1,-5)(−1,−5)left parenthesis, minus, 1, comma, minus, 5, right parenthesis
(Choice C)
C
Both (1,11)(1,11)left parenthesis, 1, comma, 11, right parenthesis and (-1,-5)(−1,−5)left parenthesis, minus, 1, comma, minus, 5, right parenthesis
(Choice D)
D
Neither
Answers
Answer:
C) Both (1 , 11) and (-1, -5)
Step-by-step explanation:
y = 8x + 3
Plugin x = 1 and y = 11 in the equation
11 = 8*1 + 3
11 = 8 +3
11 = 11
So, (1 , 11) is a solution.
Plugin x = -1 and y =-5 ,
-5 = 8*(-1) + 3
-5 = -8 + 3
-5 = -5
So, (-1 , -5) is also a solution
A function f(x) is graphed on the coordinate plane at is the function rule in siope-intercept form? Enter your answer in the box f(x) =
Answers
9514 1404 393
Answer:
y = 2x +1
Step-by-step explanation:
The line rises 2 units for each 1 unit to the right, so its slope is ...
m = rise/run = 2/1 = 2
The line crosses the y-axis at y = 1, so the y-intercept is ...
b = 1
Then the slope-intercept form equation is ...
y = mx + b . . . . . . . for slope m and y-intercept b
y = 2x + 1 . . . . . . . . fill in the known values
How long would it take eight lumberjacks to chop down eight trees at the same rate?
Answers
Answer:
4 hours
Step-by-step explanation:
It take them 1.5 h ÷ 0.5 h to chop down 1 tree, so it would take 0.5 h × 8 = 4 hours to chop down 8 trees
which statements are true ? —4 < — 1
2 < —4
—4 = 4
— 1 < 4
Answers
Answer:
-4<-1 and -1<4
Step-by-step explanation:
[tex]7x^{3} * 7x^{5}*7x^{2}[/tex] ?
Answers
[tex] {7x}^{3} . \: {7x}^{5} . {7x}^{2} \\ 343 {x}^{3} {x}^{5} {x}^{2} \\ 343 {x}^{10} \\ [/tex]
[tex]7x^3\cdot 7x^5\cdot 7x^2 =(7)^3\cdot x^{2+3+5} =343x^{ {10}}[/tex]
Type the correct answer in the box.
Rectangle PQRS is rotated 180 degrees clockwise about the origin to create rectangle P'Q'R'S. Complete the rule that describes the coordinates of rectangle P'Q'R'S after the rotation has occurred.
(x',y')=______
Answers
Answer:
The answer is = (x',y')=(-x,-y)
Step-by-step explanation:
= (x',y')=(-x,-y)
What is 180 clockwise?
Rectangle PQRS is rotated 180 degrees clockwise about the origin to create triangle P'Q'R. Complete the rule that describes the coordinates of triangle P'Q'R after the rotation has occurred.
Rule of 180° Rotation
If the point (x,y) is rotating about the origin in a 180-degree clockwise direction, then the new position of the point becomes (-x,-y).
Please check the attached file for a detailed answer.
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solve for a,b 2^a × 2^b=144 value of a+3b+2 is...
please solve it...urgent...
Answers
Answer:
its a simple for me
Step-by-step explanation:
2+144 i
Jeremy says that 5.676677666777... is a
rational number because it is a decimal that
goes on forever with a pattern. Is he correct?
Why or why not?
Answers
Answer:
he is correct bc the pattern correct
Step-by-step explanation:
65% of 51. Please also show me how to do it because I can't.
Answers
Answer:
Step-by-step explanation:
65% of 51 = [tex]\dfrac{65}{100}*51[/tex]
= 0.65 *51
= 33.15
Zach is trying to decide which of three golf
courses is the best. He randomly surveyed
people at a sports store and recorded the
results in the table. Is the sample method
valid? If so, suppose Zach surveyed 150
more people. How many people would be
expected to vote for Rolling Meadows?
Justify your answer.
Answers
Answer:
No, the population of people is poorly represented with this low sample size. 150 would better represent the population as a whole. 42 people would want to play on Rolling Meadows. (according to the previous data)
Step-by-step explanation:
Most likely this small sample size is too small to gain sufficient data from the whole population. If he were to survey a larger sample of people, he would overall better represent the population as a whole. The percentage of people who would prefer Rolling Meadows in the first sample was 28% (7/25). So just multiply 150 times .28 and get 42. 42 people would want to play on Rolling Meadows.