I need help with this Graph!
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary). (-6,3) and (3, -9)
find leg number 1 and leg number 2 and the distance
Answers
Answer:
Step-by-step explanation:
The distance between two points (-6, 3) and (3, -9) is 10.81 units.
We have a graph a right triangle with the two points A(-6,3) and B(3, -9) forming the hypotenuse.
We have find the distance between the two points using only the sides of the right triangle.
What is the formula to find the distance between the two points on Cartesian plane ?The distance between two points -
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
According to the question, we have -
Coordinates of Point A = (- 6, 3)
Coordinates of Point C = (3, -9)
Now -
Coordinates of Point B will be (- 6, -9) [formed by the intersection of sides].
Distance AB -[tex]AB = \sqrt {\left( {-6 - (-6) } \right)^2 + \left( {3 - (-9 } \right)^2 }[/tex] = 6 units
Distance BC -[tex]BC = \sqrt {\left( {-6 - 3 } \right)^2 + \left( {-9 - (-9 } \right)^2 }[/tex] = 9 units
Using the Pythagoras theorem -
[tex](AC)^{2} =(AB)^{2} +(BC)^{2}[/tex]
[tex](AC)^{2} =[/tex] 36 + 81
AC = [tex]\sqrt{117}[/tex] = 10.81
Hence, the distance between two points (-6, 3) and (3, -9) is 10.81 units.
To solve more questions on Distance formula, visit the link below -
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Related Questions
Express the quotient as a fraction in simplest form. -5-7 divided by 6/7
Answers
Answer:
a) -5/6
Step-by-step explanation:
[tex] - \frac{5}{7} \div \frac{6}{7} [/tex]
keep, change, flip
[tex] - \frac{5}{7} \times \frac{7}{6} [/tex]
[tex] - \frac{35}{42} [/tex]
simplify
35 ÷7=5
42÷7= 6
Kayla uses ⅙ cup of glitter for every ⅓ cup of glue to make glitter glue. Enter the number of cups of glitter Kayla uses for 1 cup of glue. LEAVE THE UNITS OFF, JUST WRITE THE NUMBER
Answers
========================================================
Explanation:
1/6 cup of glitter is needed for each 1/3 cup of glue. We want that "1/3 cup of glue" to be "1 cup of glue". So we'll multiply each part by 3.
3*(1/6) = 3/6 = 1/23*(1/3) = 3/3 = 1The ratio 1/6 : 1/3 updates to 1/2 : 1 to tell us that we need 1/2 cup of glitter to pair with 1 cup of glue.
-Write a real-world situation that could be represented by the equation 12.5x + 30 = -7.5x + 90.5.
What does the variable represent?
Answers
Answer:
Imagination
Step-by-step explanation:
12.5x + 30 = -7.5x + 90.5.12.5x + 30 = -7.5x + 90.5.
20x =60.5
x = 3 1/5
The sales from a music event comes from x tickets sold, at $12.50 a ticket, plus a rental income fee of $30 for an advertising billboard behind the stage.
The cost of the performance includes a musician's fee of $7.50 per ticket sold, plus a $90.5 rental fee for the stage.
The equation will tell us the number of tickets, x, that must be sold to break even (Inclome on the left and expenses on the right).
We need to sell at least 3 1/5 tickets to break even. It's going to be close.
The equation 12.5x + 30 = -7.5x + 90.5 used to determine the point in time (number of weeks) at which their combined savings and spending will equal the cost of the trip.
The equation 12.5x + 30 = -7.5x + 90.5 could represent their financial situation.
The variable "x" represents the number of weeks they have been saving money.
The term 12.5x represents the total amount of money Friend A has saved over "x" weeks at a rate of $12.5 per week.
The term -7.5x represents the total amount of money Friend B has spent over "x" weeks at a rate of $7.5 per week (which is subtracted since it's being spent).
The constants 30 and 90.5 represent initial savings and the total funds needed for the trip, respectively.
To know more about equation here
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Somebody please help
Answers
m∠C = 31
m∠D = 83
M∠E = 66
Hope this is helpful!
1. Nimish bought a motorcycle for ₹37,690 and sold it for ₹39,100. Find his
profit or loss.
Answers
Answer:
1410
Step-by-step explanation:
Selling Price= 39100
Buying Price= 37690
Profit= Selling Price - Buying price
=39100-37690
=1410
His profit: ₹39,100 - ₹37,690 = ₹1,410
=> [tex]\frac{1,410}{37.690}[/tex] × 100% ≈ 3.75% (than the original price)
His profit is 3.75% than the original price
ok done. Thank to me :>
Which graph shows a dilation?
Answers
Assuming all other requirements are met, which of the following taxpayers do NOT qualify for the 2021 Earned Income Tax Credit? Ivy, age 22, is single with no dependents. She is not a dependent of another person. She has wages of $6,500 and investment income of $11,150. Eli is married to Lia; he will file using the married filing separately status. Lia moved out of their home on February 14, 2021. His daughter Zoe, who is his qualifying child, lived with Eli all year. Roy, age 19, is single. He is not a student and has wages of $18,500. He lives with his mother Rae. Rae cannot claim him on her tax return. Leo, age 67, is single with no dependents. He has wages of $7,500 and investment income of $9,650.
Answers
Based on the information given, the person who doesn't qualify for the income tax credit will be A. Ivy, age 22, is single with no dependents. She is not a dependent of another person. She has wages of $6,500 and an investment income of $11,150.
It should be noted that the earned income tax credit is important as it helps low-income workers get a tax break.
From the options given, Ivy is the taxpayer that does not qualify for the 2021 Earned Income Tax Credit. This is because she's not a dependent of another person.
Learn more about tax credit on:
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Terry is $120 in debt. He needs to make
$140.20 in order to pay for his college books this
semester. If he wants to pay off his debt and pay
for his college books, how much money does he need to earn?
Answers
(120+140.20)
Can someone please help me with this one this is confusing to me :’) tysm!
Answers
Answer: 125 centimeters
1,250 millimeters
Step-by-step explanation:
'centi' means hundred. 100 centimeters go into a meter.
'milli' means thousand. 1,000 millimeters go into a meter. Easy math from there.
Smallest Positive fraction
Answers
Answer: 1/5?
Step-by-step explanation:
Solve the system of linear equations by substitution
6x-9=y
y=-3x
Answers
Answer:USE SUBSTITUTION METHOD. Algebra work right here
Step-by-step explanation:
A stadium has 50,000 seats. Seats sell for $25 in section A, $20 in section B, and $15 in section C. The number of seats in section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,071,000 from each sold-out event. How many seats does each section hold?
Answers
Answers:
section A = 25,000 seats
section B = 14,200 seats
section C = 10,800 seats
Your teacher may want you to leave out the commas from each number.
=============================================================
Work Shown:
A = number of seats in section AB = number of seats in section BC = number of seats in section CA = B+C
A+B+C = 50,000
B+C+B+C = 50,000
2(B+C) = 50,000
B+C = 50,000/2
B+C = 25,000
C = 25,000 - B
25A + 20B + 15C = 1,071,000
25(B+C) + 20B + 15C = 1,071,000
25(25,000) + 20B + 15(25,000 - B) = 1,071,000
625,000 + 20B + 375,000 - 15B = 1,071,000
1,000,000 + 5B = 1,071,000
5B = 1,071,000 - 1,000,000
5B = 71,000
B = (71,000)/5
B = 14,200 is the number of seats in section B
C = 25,000 - B
C = 25,000 - 14,200
C = 10,800 is the number of seats in section C
A = B+C
A = 14,200 + 10,800
A = 25,000 is the number of seats in section A
--------------
Check:
A+B+C = 25,000+14,200+10,800 = 50,000
Find the volume of the sphere. Use 3.14 for pi please help..
Answers
Answer and Explanation: The volume of the sphere is 1.44×10^6 cubic inches(to be specific, 1,436,755 cubic inches). The explanation, which is the formula for the volume of a sphere, is in the image.
Answer:
V≈1.44×106
Step-by-step explanation:
hope this helps
Determine which number is greater and tell how many times as great. 7×1012 and 3.5×109
Answers
(Will give 1,000 points!) Look at the two 3s in this number:
89.033
Which of these statements is true? Choose all that apply.
A
The blue 3 on the left is 300 times the value of the orange 3 on the right.
B
The blue 3 on the left is 100 times the value of the orange 3 on the right.
C
The blue 3 on the left is 10 times the value of the orange 3 on the right.
D
The blue 3 on the left is equivalent to the orange 3 on the right.
E
The orange 3 on the right is 1/10 of the value of the blue 3 on the left.
(And yes there are multiple answers!)
Answers
The only true statement is "the orange 3 on the right is 1/10 of the value of the blue 3 on the left"
This question bothers on place values.
Given the decimal value 89.033, the place value of the blue 3 on the left is the hundredth place (1/100) while the place value of the orange 3 is in the thousandth place(1/1000).
We need to check which of the statement is correct.
For the first option, the blue 3 on the left is 300 times the value of the orange 3 on the right;
1/100 = 300(1/1000)1/100 = 3/10Since 0.01≠0.3, hence the first option is wrong
For the second option, the blue 3 on the left is 100 times the value of the orange 3 on the right;
1/100 = 100(1/1000)1/100 = 1/100.01≠0.1, hence the second option is wrong.
The blue 3 on the left is equivalent to the orange 3 on the right is also wrong since they are positioned in a different place
The orange 3 on the right is 1/10 of the value of the blue 3 on the left, is expressed as;
1/1000 = 1/10(1/100)0.001 = 0.001Hence the only true statement is "the orange 3 on the right is 1/10 of the value of the blue 3 on the left"
Learn more on place values here: https://brainly.com/question/627658
Select all the polygons that have reflection symmetry.
A quadrilateral with two pairs of adjacent congruent sides, forming a kite.
A polygon is shaped like a composite figure made up of a rectangle with a small square on its top side and the same sized square on its right side.
A polygon shaped like a five-pointed star in which the left and right sides of the star are mirror images
A six-sided polygon that generally appears as a diagonally-oriented trapezoid attached to a shorter horizontally-oriented rectangle.
Assessment navigation
(added this for all^ my homies with k12 so its easier to find just ignore it)
Answers
Reflection Symmetry-
Line symmetry is also called as the reflection symmetry. If, at least one line that divides a figure into two halves such that one-half is the mirror image of the other half, exists, then the figure is said to be in reflection symmetry.
Analyzing all the 4 figures, it can be deduced that only 1st and 2nd figures have one symmetry line XX, as shown in the attachments.
3rd and 4th figures do not have any axisymmetric lines, so they are not in reflection symmetry.
If the actual sale for the week is $525 and hector guessed $625, what i the percent error?
Answers
Answer:
19.0% (1dp)
Step-by-step explanation:
$625-$525=$100
$100/$525=4/21×100=19.0% (1dp)
after sales tax a 33 dollar photo album cost 35.97 dollars. What is the sales tax percentage
Answers
Answer:
9%
Step-by-step explanation:
Set up a ratio:
[tex]\frac{33}{100}[/tex] = [tex]\frac{35.97}{x}[/tex]
Cross multiply: 33x = 35.97 * 100
33x = 3597
Divide by 33: x = 109
That means the tax is 9%.
solve similar triangles (advanced)
Answers
Answer:
x = 3/2
Step-by-step explanation:
ΔACB ≈ ΔAED due to hypotenuse-leg theorem
therefore, BC/BA = DE/AD
4/6 = 5/(x+6)
cross-multiply to get:
4(x+6) = 6(5)
4x + 24 = 30
4x = 6
x = 6/4 or 3/2
check:
4/6 = 5/7.5; the cross-products are both equal to 30
This figure consists of a rectangle and semicircle.
What is the area of this figure?
Use 3.14 for π.
please help ASAP!
Answers
Answer:
46.28
Step-by-step explanation:
rectangle = 10×4 = 40 ft²
semicircle = 1/2×3.14×2×2 = 6.28 ft²
area of this figure is 40+6.28 = 46.28 ft²
[tex] \frac{5}{5x - 7} = 10[/tex]
solve the equation.
Answers
Answer:
x=1.5
Step-by-step explanation:
5=10(5x-7)0.5=5x-77.5=5xx=1.5PLEASE HELP QUESTION IN PICTURE
Answers
10)
4x-9
X + 18
Solve for x
Answers
Answer:
x = 9
Step-by-step explanation:
The alternate interior angles theorem tells us that these two quantities must be the same.
Therefore,
x + 18 = 4x - 9
x + 18 + 9 = 4x
x + 27 = 4x
27 = 4x - x
27 = 3x
x = 9
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will give brainliest
Answers
Answer: x > − 4
Step-by-step explanation: Divide each term in − 4 x < 16 by − 4 and simplify.
(Try to solve b. and c. with only these resources and if you still need help, let me know.)
2a- 1-4 1/3a+ 7-a consider the linear expression what are the like terms in the expression simplify the linear expression
Answers
Answer:
2a7-1
Step-by-step explanation:
It would be appreciated if there could be an explanation along the answer
Answers
Answer:
i think probably 80°
Step-by-step explanation:
PQ = RS
2x+3 = 4x-3
x = 3
PTQ = RTS
9y-3x-1 = 5x+7y-5
2y-8x = -4
y-4x = -2
y-4(3) = -2
y-12 = -2
y = -2+12
y = 10
so PTQ = 9y-3x-1
9(10)-3(3)-1
90-9-1
80°
Find the new amount given the original amount and the percent of change.
$7; 10% increase
The new amount is
Answers
Step-by-step explanation: 7 x 110% = 7 x 1.1 = 7.7
What is the hardest metal
if you get it right I'll give you brainliest
Answers
Answer:
is tungtset i tink not sure bout
Step-by-step explanation:
mark me brainlest plz
Solve for x.
-8 =X/4
Answers
x = −32
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What is three minus X equals 11
Answers
Answer:
x= -8
Step-by-step explanation:
Subtract 3 from both sides to isolate the variable
Divide the variable by -1 so it can become positive; whatever you do to one side, you have to do to the other.
You'll end up with the equation of x= -8 if you do it correctly