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
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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
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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
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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
Answer:
Parallel lines = AB and CD
Neither parallel nor perpendicular lines = GH and EF
Perpendicular lines = EF and CD
Step-by-step explanation: I got it right on Plato!! (Basic Geometric Concepts)
imma give brainliest just help me
Answer: 3:4
Step-by-step explanation: because the ratio of a :b is 2:3 which means b is 3 . And the ratio of a:c is 3 :4 which means c is 4.
And 3:4 is in simplest form .
Hope it helps.
Answer:
The required ratio is b:c = 9:8
Step-by-step explanation:
We are given:
The ratio a:b = 2:3
and the ratio a:c = 3:4
We need to find the ratio b:c
We are given a:b=2:3
We can write it as: [tex]\frac{a}{b}=\frac{2}{3}[/tex]
Finding value of a: [tex]\frac{a}{b}=\frac{2}{3}\\3a=2b\\a=\frac{2b}{3}[/tex]
Now, we have a:c = 3:4
We can write it as: [tex]\frac{a}{c}=\frac{3}{4}[/tex]
Putting value of a and finding b:c
[tex]\frac{a}{c}=\frac{3}{4}\\Put\:a=\frac{2b}{3}\\\frac{2b}{3}}\times \frac{1}{c}=\frac{3}{4} \\Finding\:value\:of\:b/c\\\frac{b}{c}=\frac{3\times 3}{4 \times 2}\\ \frac{b}{c}=\frac{9}{8}[/tex]
So, we get b/c = 9/8
We can write them in ratio as: b:c = 9:8
Financial advisors recommend that a maximum of 22% of your monthly income be spent on vehicle expenses (total of car payment, car insurance, and maintenance/fuel).
Nadias monthly income is $3200. She wants to take out a loan to buy a 2018 Kia Soul which would result in monthly vehicle expenses consisting of a $515 car payment,
$78 car insurance, and $125 maintenance/fuel expenses
What percentage of Nadia Os monthly income would be spent on vehicle expenses if she purchases the 2018 Kia Soul? Round the percentage to one decimal place
% of her monthly income would go to vehicle expenses.
Does the car she wants satisfy the recommended budget guideline? In other words, would she be spending 22% or less of her monthly income on vehicle expenses?
Yes
No
Answer:
22.4
Step-by-step explanation:515+78+125=718
718/3200=22.4
The answer is-No
Please help solve this
Answer:
The answer to the question provided is 3.
the area of a rectangle is 144cm squared.if the length is 16cm. What's the perimeter?
Answer:
50
Step-by-step explanation:
rectangle area = 144 cm
Formula: A= L*H
The give the length which is 16
144 = 16*H
Since they gave u the area instead of the height, work backwards
144/16 = 16/16 *H
9 = H
Now you have the length and height
Length: 16
Height: 9
Perimeter is when you add up all the sides
The top and bottom of the rectangle is the length which is 16 so
16 + 16 = 32
The left and right side of the rectangle is the height which is 9 so
9 + 9 = 18
Now add then both
32 + 18 = 50
So the perimeter of the rectangle is 50
Hope this helped!
simplify 8 + 24 ÷ 2 3
Answer:
B.) 11
Step-by-step explanation:
Hope this helped!
if a sample size 40 is drawn from the population that has mean 276 and a variance of 81, what is the probability that the mean of the sample will be less than 273?
Answer:
The probability is 0.017429
Step-by-step explanation:
We start by calculating the z-score
Mathematically;
z-score = (x-mean)/SD/√n
In this case;
x = 273
mean = 276
SD = √(variance) = √81 = 9
n = 40
Substituting these values into the z-score formula, we have that;
z = (273-276)/9/√40
z = -2.11
So we proceed to get the probability
the probability in this case is;
P( z < -2.11)
We can use the normal distribution table for this
Our answer will be
P( z < -2.11) = 0.017429
Type the equation it
slope intercept form
y=mx+b
Answer:
theres not an equation...
Step-by-step explanation:
PLEASE HELP lots of points brainliest What are 3 ways that the Renaissance changed Europe? PLEASE HELP
1.
2.
3.
Answer:
1 It changed their way of life 2 It changed the way they did art 3 It brought hope after the black death
Step-by-step explanation:
Find the value of the following expression:
5 3/5 ÷ 1 1/2 = ????
fill in the boxes to show two ways you can find 8+6
Answer:
(4+3) + (4+3) and (7-1) + (9-1)
Step-by-step explanation:
You can always break it down in half to make it easier.
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Answer:
5/6
Step-by-step explanation:
Answer:
1 1/2 - 2/3 = 5/6
Step-by-step explanation:
I hope i helped ^^
find the length of AB
Answer:
ICE CREAMZ
Step-by-step explanation:
Which is the better deal: $2.98 for 2 liters of soda or $7.40 for 5 liters? Find the unit price of the better deal on the coloring sheet.
Answer:
7.40 for 5 liters
Step-by-step explanation:
2.98/2= 1.49
7.40/5= 1.48
3. A rectangular prism has dimensions of , 2, and in.
(a) Determine the edge length of the largest unit cube that you could use to pack the prism. Explain.
(b) What is the volume of the prism? Explain.
(c) How many cubes with the edge length from part (a) will fit into the prism? Explain.
Answer:
I'm not sure about a and c, but the answer for b is 7/2 or 3.5
Step-by-step explanation:
1/2 x 2 = 1 1 x 7/2 = 7/2 or 3.5 :)
a) The edge length of the largest unit cube that you could use to pack the prism would be 1/2. b) 3.5 .c)The number of cubes with the edge length from part (a) will fit into the prism is 28.
How to find the volume of a right rectangular prism?Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units,
then its volume is given as:
[tex]V = a\times b \times c \: \: unit^3[/tex]
A rectangular prism has dimensions of 1/2, 2, and 7/2 in.
a) The edge length of the largest unit cube that you could use to pack the prism would be 1/2.
b) The volume of a rectangular prism
[tex]V = a\times b \times c \: \: unit^3[/tex]
V = 1/2 x 2 x 7/2
= 7/2
= 3.5
c) Let n be the number of cubes
The volume of the cube = 0.125
0.125 x n = 3.5
n = 28
The number of cubes with the edge length from part (a) will fit into the prism is 28.
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A marketing research company desires to know the mean consumption of meat per week among males over age 26. They believe that the meat consumption has a mean of 3.7 pounds, and want to construct a 80% confidence interval with a maximum error of 0.09 pounds. Assuming a standard deviation of 1.4 pounds, what is the minimum number of males over age 26 they must include in their sample
Answer:
80% confidence interval with Maximum error is
(3.61, 3.79)
Step-by-step explanation:
Explanation
Given the mean of the sample ( x⁻) = 3.7
The maximum error = 0.09
80% confidence interval is determined by
[tex](x^{-} - Z_{0.80} \frac{S.D}{\sqrt{n} } , x^{-} +Z_{0.80} \frac{S.D}{\sqrt{n} })[/tex]
( x⁻ - M.E , x⁻ + M.E)
( 3.7 - 0.09 , 3.7 +0.09)
(3.61 , 3.79)
Final answer:-
80% confidence interval with Maximum error is
(3.61, 3.79)
Does the graph represent a linear or nonlinear function?
Answer:
Nonlinear. If it was a striaght line, it would be linear.
Step-by-step explanation:
Brainliest? Hope this helped! Friend me please!
-1/2(12p-42)=-33 multi step equation
Answer:
p=-2
Step-by-step explanation:
the answer is 5.
22. What is the minimum speed needed to travel at least 440 miles in 8 hours? Choose and
justify a solution (54 mph, 55 mph, 56 mph)
Answer:
440ml divide 8hrs = 55mph
What is the slope of the line described by the equation below?
y = 3x + 5
O A. -3
B. 5
o o
C. -5
D. 3
SUBMIT
Answer:
D. 3
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Function [SIF]: y = 3x + 5
Step 2: Break Function
Identify Parts
Slope m = 3
y-intercept b = 5
Answer:
3
Step-by-step
If the equation is in slope intercept form, which it is, the slope is always the number right before the x.
f(x)=7x-4 what is f(3)
Answer: look at the pictures ⤵
Step-by-step explanation:
5(379)-4y-1 solve for y
Answer:
y=-473.75
Step-by-step explanation:
5*379=1835
1835-1
1834/-4
Graph the equation x+4y=−6 by plotting points.
Answer: slope 1/4
Step-by-step explanation:
my darth vader said so.
Answer:
-6,0,-2-1
Step-by-step explanation:
Which verbal expression represents this algebraic expression?
8(y + 4)
Answer:
The best possible answer would be
D The product of eight and a number increased by four
Have a good day ( =
The required verbal expression for the given expression is given as "product of 8 and sum of number and 4".
The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
In the given expression,
8(y + 4)
Now,
The above expression can be modeled as,
Product of 8 and sum of a number and 4
Thus, the required verbal expression for the given expression is given as "product of 8 and sum of number and 4".
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Round 8.96278650872 to the nearest millionth
Answer:
9????
Step-by-step explanation:
?????????????????
Angle sum theorem y=? Degrees
Answer:
2x + 70 = 110
x = 20
Step-by-step explanation:
180-110 = 70
70 + 20 + y = 180
y =90
I WILL GIVE YOU BRAINLIEST ! PLEASE HURRY I AM TIMED!!
answer choices
A. The y-intercept of Function 1 is the same as that of Function 2.
B. The rates of change of both functions are positive.
C. The rate of change of Function 1 is the same as that of Function 2.
D. The y-intercept of Function 1 is greater than that of Function 2.
Answer:
C. The rate of change of Function 1 is the same as Function 2.
Step-by-step explanation:
The rate of change in an equation is the slope. In this case, function 1's slope is 1/2 and in function 2 - y=1/2x+3, the slope, or rate of change, is also 1/2. This means that statement C. is correct. Hope this helps :) Good luck!!
A school administrator is curious what proportion of the 2,400 students at the school regularly eat breakfast. They take an SRS of 150 of these students, and 104 of them report that they regularly eat breakfast. The administrator wants to use this data to construct a one-sample zzz interval for a proportion.
Which conditions for constructing this confidence interval did their sample meet? Choose all answers that apply:
a. The data is a random sample from the population of interest.
b. The observed counts of successes and failures are both sufficiently large.
c. Individual observations can be considered independent.
Answer: A, B, & C
Step-by-step explanation:
Select all
The conditions for constructing confidence interval are:
The data is a random sample... The observed counts... Individual observations...What is confidence interval?A confidence interval serve as the tool that can predict how a value can fall between a pair of values in a distribution mean.
From the case above, as regards the confidence interval with the sample , we can see that the data is a random sample, and there is independent observation.
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The line segment cd with endpoints c(5,-7) and (-3,9) is rotated 270 about the origin. What is the coordinate of d?
Answer:
[tex]d' = (9,3)[/tex]
Step-by-step explanation:
Given
[tex]c = (5,-7)[/tex]
[tex]d = (-3,9)[/tex]
Transformation: 270 degrees rotation
Required
Determine the coordinates of d
I'll treat the question as: Determine the coordinates of d after the transformation
When a coordinate point d(x,y) is rotated 270 degrees about the origin, the new image of the point is: d'(y,-x)
In this case: [tex]d = (-3,9)[/tex]
[tex]x = -3[/tex]
[tex]y = 9[/tex]
So, the image of d is:
[tex]d' = (y,-x)[/tex]
[tex]d' = (9,-(-3))[/tex]
[tex]d' = (9,3)[/tex]
A grey squirrel population was introduced in a certain county of Great Britain 30 years ago. Biologists observe that the population doubles every 6 years, and now the population is 100,000. what is the formula
Answer:
The formula for the gray squirrel population is [tex]n = 3125\cdot 2^{\frac{t}{6} }[/tex].
Step-by-step explanation:
The statement indicates that gray squirrel population increases geometrically, population is doubled every 6 years. That is:
[tex]\frac{n_{t+6}}{n_{t}} = 2[/tex] (1)
If the population after 30 years is 100000, then we construct the following relationship:
[tex]\frac{n_{6}}{n_{o}} \cdot \frac{n_{12}}{n_{6}}\cdot \frac{n_{18}}{n_{12}}\cdot \frac{n_{24}}{n_{18}}\cdot \frac{n_{30}}{n_{24}} = 2^{5}[/tex]
[tex]n_{30} = 2^{5}\cdot n_{o}[/tex]
[tex]n_{o} = \frac{n_{30}}{2^{5}}[/tex] (2)
[tex]n_{o} = \frac{100000}{2^{5}}[/tex]
[tex]n_{o} = 3125[/tex]
A geometric progression for the grey squirrel population is defined by the following formula:
[tex]n = 3125\cdot 2^{\frac{t}{6} }[/tex] (3)
Where:
[tex]t[/tex] - Time, measured in years.
[tex]n[/tex] - Population of gray squirrels.
What is 2 2/3 plus 3 2/3
Answer:
6 1/3
Step-by-step explanation:
Add numbers 2 +3 then 2 + 2 then then both
Denominators are the same so it stay 3 next you have 5 + 4/3 Convert the improper fraction into a mixed number 5 + 1 1/3 Write the mixed number as a sum of the whole number and the fractional part 5 + 1 + 1/3 Add the numbers 6 1/3
