When two lines intersect at 90° degrees angle, the lines are perpendicular to each other. Two perpendicular lines, their slope will give a product of -1
i.e. if the first's line slope is 5, then the second line's will be -1 ÷ 5 = -¹/₅
To find the slope of a line, we divide the vertical distance by the horizontal distance.
We'll use the trial and error method to find the right pairing
Let's start with A(3, 3) and B(12, 6)
Vertical distance =
Horizontal distance =
The slope AB = ³/₉ = ¹/₃
We want BC to have a slope -1 ÷ ¹/₃ = -3
Try C(16, -6); check the slope with B(12, 6)
Vertical distance =
Horizontal distance =
Slope of BC = -12 ÷ 4 = -3
The slope BC = -3 is the value we want so, tile 1 pair with tile 4
-------------------------------------------------------------------------------------------------------------
Let's do A(-10, 5) and B(12, 16)
Vertical distance = 16 - 5 = 11
Horizontal distance = 12 - -10 = 22
Slope AB = ¹¹/₂₂ = ¹/₂
The perpendicular slope would be -1 ÷ ¹/₂ = -2
Try C(18, 4) with B(12, 16)
Vertical distance = 16 - 4 = 12
Horizontal distance = 12 - 18 = -6
Slope BC = ¹²/₋₆ = -2
Slope BC and slope AB perpendicular, so tile 3 matches with tile 6
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Let's try A(12, -14) and B(-16, 21)
Vertical distance = 21 - -14 = 35
Horizontal distance = -16 - 12 = -28
The slope AB = ³⁵/-₂₈ = ⁵/₋₄
We need the perpendicular slope to be -1 ÷ -⁵/₄ = ⁴/₅
Try C(-11, 25)
Vertical distance with B = 25 - 21 = 4
Horizontal distance with B = -11 - -16 = 5
The slope = ⁴/₅
Tile 7 matches tile 8
--------------------------------------------------------------------------------------------------------------
Take A(-12, -19) and B(20, 45)
Vertical distance = 45 - -19 = 64
Horizontal distance = 20 - -12 = 32
Slope AB = ⁶⁴/₃₂ = 2
We need the perpendicular slope to be -1 ÷ 2 = -¹/₂
We have C(6, 52) and checking the slope with B(20, 45)
Vertical distance = 45 - 52 = -7
Horizontal distance = 20 - 6 = 14
The slope is ⁻⁷/₁₄ = -¹/₂
Tile 9 pairs with tile 2
-----------------------------------------------------------------------------------------------------------
Conclusion
Tile 1 ⇒ Tile 4
Tile 3 ⇒ Tile 6
Tile 7 ⇒ Tile 8
Tile 9 ⇒ Tile 2
Tile 5 and Tile 10 do not have pairs
21:20
In which step did Yvonne first make an error?
Yvonne is solving the quadratic equation 6x2 + 24x + 7 = 0
by completing the square. Her first four steps are shown in
the table.
Yvonne's Work
Step 1
Step 2
Step 3
Step 4
Step 1
Step 2
6x² +24x+7-0
6x² +24x - 7
6(x²+4x) -7
6(x²+4x+4) - 3+24
6(x+2)²-27
Step 3
Step 4
Mark this and return
Save and Exit
Next
Submit
Answer:
Step 2Step-by-step explanation:
Given the quadratic equation 6x² + 24x + 7 = 0, the following steps must be followed when finding the roots using the completing the square method.
Step 1: Subtract 7 from both sides
6x² + 24x + 7 - 7= 0 -7
6x² + 24x = -7
Step 2: divide through by the coefficient of x²
6x²/6 + 24x/6 = -7/6
x² + 4x = -7/6
Step 3: Add half of the coefficient of x (i.e 4/2 = 2) to both sides of the equation to complete the square of the equation x² + 4x.
x² + 4x + 2= -7/6 + 2
(x+2)² = -7/6 + 2
(x+2)² = 5/6
Step 4: taking the square root of both sides
√(x+2)² = √5/6
x+2 = ±√5/6
x = -2±√5/6
x = -2+√5/6 and -2-√5/6
Based on the conclusion above, it can be seen that Yvonne made the first error in step 2. Yvonne suppose to divide through by the coefficient of x² (i.e 6)
what is 1.2 -0.145 because last time I did this I got it wrong
Answer:
1.055 is the answer
Answer:
1.055
Step-by-step explanation:
1.2-0.145=1.055
Brendan read 4 books in 4 weeks, reading the same number of books each month, and in each week of the month. If Alicia reads 2 books each week, how many more
books does Alicia read each week than Brendan?
1.2
2.2
3.4
4.12
Answer:
idk
Step-by-step explanation:
In ΔGHI, the measure of ∠I=90°, the measure of ∠G=34°, and HI = 7 feet. Find the length of GH to the nearest tenth of a foot.
Answer:
GH ≈ 12.5 ft
Step-by-step explanation:
Using the sine ratio in the right triangle
sin34° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{HI}{GH}[/tex] = [tex]\frac{7}{GH}[/tex] ( multiply both sides by GH )
GH × sin34° = 7 ( divide both sides by sin34° )
GH = [tex]\frac{7}{sin34}[/tex] ≈ 12.5 ft ( to the nearest tenth )
Which will hold more juice, 14 cans of 150 ml or 2L bottles?
Answer:
14 can of 150 ml
Step-by-step explanation:
14 times 150 ml is 2100 ml.
Then you have to convert 2100 into L.
Which will get you 2.1 L
And there is your answer
PLEASE MARK AS BRAINLIEST
If two fair dice, one red and one white, are rolled, in how many ways can the result be obtained?
The sum of the two dice is less than 5.
O A. 4 ways
OB. 10 ways
OC. 6 ways
OD. 5 ways
Answer:
C. 6 ways
Step-by-step explanation:
When two fair dice are rolled, the sample space of the outcome is given below:
[tex](1,1) (1,2) (1,3) (1,4) (1,5) (1,6)\\(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)\\(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)\\(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)\\(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)\\(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)[/tex]
Where in the pair (x,y), x represents the red die and y represents the white die.
The outcome in which the sum of the two dice is less than 5 are:
[tex](1,1) (1,2) (1,3) \\(2,1) (2,2) \\(3,1)[/tex]
Therefore, this result can be obtained in 6 ways.
The correct option is C.
Considering all the possible outcomes, it is found that the number of times a sum of the two dice less than 5 can be obtained is:
C. 6 ways
What are the possible outcomes when two dices are rolled?(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
Of those, the ones with a sum of less than 5 are given by:
(1,1), (1,2), (1,3), (2,1), (2,2), (3,1)
6 ways, hence option C is correct.
A similar problem, in which the number of possible outcomes is found, is given at https://brainly.com/question/24314866
Find the missing factor.
(5 + 3) + 8 = 5 + (3 + ? )
Answer:
8
Step-by-step explanation:
(5 + 3) + 8 = 5 + (3 + ? )
8 + 8 = 5 + (3+x)
16 = 5 +(3+x)
-5. -5
11 = 3+x
-3. -3
8 = x
Or just guess 8 because its addition and it doesn't matter in what they are ordered
In a deck of cards you have 52 cards.
13 club cards (black) Ace, 2, 3, 4, 5, 6, 7, 8, 9, J, Q, K
13 spade cards (black) Ace, 2, 3, 4, 5, 6, 7, 8, 9, J, Q, K
13 diamond cards (red) Ace, 2, 3, 4, 5, 6, 7, 8, 9, J, Q, K
13 heart cards (red) Ace, 2, 3, 4, 5, 6, 7, 8, 9, J, Q, K
EXAMPLE:If I pick a card what is the probability of me picking a J? 4/52
Questions:
(1) What is the probability of picking a red card?
(2) What is the probability of getting an Ace?
(3) What is the probability of getting a 5 or a Q?
Answer:
1) 1/2
2) 1/13
3)1/169
Step-by-step explanation:
not sure about the last one
correct me if i am wrong
How do flies walk on the ceiling? ...
Please help me with this question
Answer: Can you elpan it so I can figgure it out
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
Because the inscribed angle is 75 degrees, the angle of arc AC is 75*2=150 degrees, which is the same as the angle of its respective central angle. Hope this helps!
SOLVE EACH Equation by completing the square
1) p2 + 8p - 33 - 0
Answer:
p = - 11, p = 3
Step-by-step explanation:
Given
p² + 8p - 33 = 0 ( add 33 to both sides )
p² + 8p = 33
To complete the square
add ( half the coefficient of the p- term )² to both sides
p² + 2(4)p + 16 = 33 + 16
(p + 4)² = 49 ( take the square root of both sides )
p + 4 = ± [tex]\sqrt{49}[/tex] = ± 7 ( subtract 4 from both sides )
p = - 4 ± 7
Thus
p = - 4 - 7 = - 11
p = - 4 + 7 = 3
Square root of 250/10.
I don’t know how to properly ask the question so I provided a picture:
Answer:
5
Step-by-step explanation:
First simplify 250/10= 25
square 25= 5
Plz help
What is the area of the triangle?
A triangle has a base of 4 inches and height of 5.5 inches.
5 in.2
10 in.2
11 in.2
22 in.2
Answer:11in
Step-by-step explanation:
4*5.5=22/2=11
Hope I helped
Answer:
11in.2
Step-by-step explanation:
how do you interpret the correlation coefficient?
Answer:
Perfect: value is near ± 1
High degree: coefficient value lies between ± 0.50 and ± 1
Step-by-step explanation:
A normal distribution has a mean of 104 and a standard deviation of 1.9.
What is the z-score of 108?
Work Shown:
x = 108 is the raw score we want to transform
mu = 104 is the mean
sigma = 1.9 is the standard deviation
z = (x-mu)/sigma
z = (108-104)/1.9
z = 4/1.9
z = 2.10526315789473 which is approximate
z = 2.11 rounding to two decimal places
I'm rounding to two decimal places because many z tables will work with this level of precision.
It takes a painter and his friend 8 hours to paint a room. If the painter was working alone, it would take him 12 hours less than if his friend was working alone. How long does it take the painter to paint the room by himself? Please explain to get brainliest
Answer:
The painter paint the room by himself in 12h.
Step-by-step explanation:
If we consider that the room is the distance that the painter and his friend need to paint, then each person will have a painting speed and if we sum them they will finish the room in 8 hours. If we call the speed of the painter "x" and the his time "tx", while his friend will be "y" and his time will be "ty". We can apply each case to the average speed formula:
Both working together:
speed = distance / time
x + y = room / 8
The friend alone:
y = room / ty
The painter alone:
x = room / tx
Therefore:
(room/tx) + (room/ty) = room/8
1/tx + 1/ty = 1/8
(tx + ty)/tx*ty = 1/8
8*tx + 8*ty = tx*ty
Since tx = ty - 12, we have:
8*ty - 96 + 8*ty = ty² - 12*ty
ty² - 12*ty - 16*ty + 96 = 0
ty² - 28*ty + 96 = 0
ty = 4 or ty = 24
Since tx = ty - 12, ty can only be 24, because if it was 4, then the painter time would be negative and that is impossible. So we have:
ty = 24
tx = 24 - 12 = 12
The painter paint the room by himself in 12h.
The painter to paint the room by himself in 12 hours
How to find work done by painterLet
Work done by painter friend = xWork done by painter = yFriend
x = room / time taken
Painter
y = room / time taken
painter and friend
x + y = room / 8
(room/friend time ) + (room/painter time) = room/8
1/friend time + 1/painter time = 1/8
(friend time + painter time)/friend time × painter time = 1/8
8 × friend time + 8 × painter time =friend time × painter time
Since friend time = painter time - 12, we have:
8 × painter time - 96 + 8 × painter time = painter time² - 12 × painter time
Painter time² - 12 × painter time - 16 × painter time + 96 = 0
painter time² - 28 × painter time + 96 = 0
solve using factorization methodPt = 4 or = 24
Since friend time = painter time - 12,
Painter can is 24, because if it is 4, then the painter time would be negative and that is impossible.
So,
Painter = 24
Friend time = 24 - 12 = 12
Therefore, the painter paint the room by himself in 12 hours
Learn more about work done:
https://brainly.com/question/18762601
Perform the following
mathematical operation, and
report the answer to the
appropriate number of
significant figures.
7.273 - 12.37 = [?]
Answer:
-5.10
Step-by-step explanation:
shrug
I need help ! What's 2+2-8^2+208
Answer:
148
Step-by-step explanation:
Answer:
148
Step-by-step explanation:
4-64+208=148
Hope this helps...Pls Mark as Brainliest!!
Use the order of operations to evaluate the expression. 4 × ( 3 4 − 1 2 ) + 3 × 6
A. 19
B. 20 1 2
C. 24
D. 33
Answer:
19
Step-by-step explanation:
4 × ( 3/ 4 − 1/ 2 ) + 3 × 6
PEMDAS
Parentheses first
4 × ( 3/ 4 − 2/4 ) + 3 × 6
4 × ( 1/4 ) + 3 × 6
Then multiply and divide from left to right
1 + 18
19
You will flip a coin 5 times and roll a die 10 times and record your findings.
What is the probability that you get heads and the number 1. Write your
answer as a percent.
Put your answer here:
P (Heads and 1)
=
Answer:
C
Step-by-step explanation:
5 buses left Midville each day. 40 buses left in all. How many days did buses leave Midville?
Answer:
8 days
Step-by-step explanation:
If 5 buses left Midville every day and 40 buses left in all, you have to do 40÷5=8 days
Answer: 8 days
Step-by-step explanation: 40 / 5 = 8
that is the amount of days it will take for all the buses to leave.
for 9-10+3 gives 2 , but doesnt we start from addition , e.g 10+3 is 13 then 9 -13 gives us -4 . can someone explain .
9 - 10 + 3 =2
START FROM ADDITION
-10 +3= -7+9= 2
Ur mistake was the negative 10
what is 8h+7m
need help please!!!!
Answer: 14 hm
Step-by-step explanation:
Just add numbers together then put letters in order they show in equation
Answer:
I’m not 100% sure what you mean but if h is hours and m is minutes then it is 487 minutes but we need values for each letter if that is what the question is asking for.
Step-by-step explanation:
Katie has 36 coins in her jar (nickels, dimes, and quarters) totalling $4.20. She has twice as many dimes as quarters. How many nickels does Katie have?
Answer:
I think you need to mutply those. And you will get your answer.
Step-by-step explanation:
The picture is up there thank you :))
Answer:
14
Step-by-step explanation:
Do PEMDAS, it helps a lot.
Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction (PEMDAS)
3+ 6 x (5+4) /3 -7
3 + 6 x (9) /3-7
3 + 54/3 - 7
3 + 18 -7
21-7
14
Simplify: 9p - 2p2 + 5p
Answer:
p(9-4+5) = 0p = indeterminate
Step-by-step explanation:
there's no explanation, it's a simple concentration
Answer: 5p3 - 2p2 + 14p - 4
(01.01)
Evaluate −15 + (−4). (1 point)
Group of answer choices
Answer:
-19
Step-by-step explanation:
-15+ (-4)
15 + 4
19
-19
since theyre both negatives you are adding
Pls, help with this!!!
Answer:
The first one is 8/12.
Step-by-step explanation:Add numerator and keep denominator same.
Answer:
5/12 + 3/12
Step-by-step explanation:
[tex]\frac{5}{12} + \frac{3}{12} = \frac{8}{12}[/tex]
This is because when adding fractions with the same denominator, you just add the numerators.
The other answer choices do not equal 8/12...
[tex]\frac{2}{4} + \frac{3}{4} + \frac{3}{4} = \frac{8}{4} = 2[/tex]
[tex]\frac{2}{3} + \frac{3}{4} + \frac{3}{5} = \frac{40}{60} + \frac{45}{60} + \frac{36}{60} = \frac{121}{60} = 2 \frac{1}{60}[/tex]
[tex]\frac{4}{6} + \frac{4}{6} = \frac{8}{6} = \frac{4}{3} = 1 \frac{1}{3}[/tex]
I hope this helps!
A rental car agency charges $12 per day plus 14 cents per mile to rent a certain car. Another agency charges $15
per day plus 9 cents per mile to rent the same car. How many miles per day will have to be driven for the cost of a
car from the first agency to equal the cost of a car from the second agency?
Answer:
The cost of renting will be the same for 200 miles.
Step-by-step explanation:
Let n the number of miles and C be the cost. We can represent the cost equations for each companies:
A: C = 12 + 0.09n
B: C = 8 + 0.11n
They want to know when the cost will be the same, so we can set the above 2 equations equal to each other and solve for n:
12 + 0.09n = 8 + 0.11n
0.02n = 4
n = 200
Answer: I don't want to be rude but, you're not helping me at all.
Step-by-step explanation:
what is the explicit formula for this sequence? -6,-2,2,6,10...
Answer:
4
Step-by-step explanation:
For each number, you have to keep adding a positive 4 to get the next number in he sequence.