Which set of ordered pairs represent a line that is perpendicular to the given set: (1,8)
(2,10)?

Answers

Answer 1

Using linear function concepts, it is found that a set of ordered pairs with a slope of [tex]-\frac{1}{2}[/tex] is perpendicular to the given set.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

When two sets are perpendicular, the multiplication of their slopes is -1. The set (1,8) and (2,10) has slope given by:

m = (10 - 8)/(2-1) = 2.

Then, for the perpendicular set:

2m = -1

m = -1/2.

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Related Questions

A university conducted a survey of 383 undergraduate students regarding satisfaction with student government. Results of the survey are shown in the table by class rank. If a survey participant is selected at​ random, what is the probability that he or she is satisfied or a​ junior? *Round to 3 decimal places* ( I only need part d.)

Answers

Answer:

62/235 +95/383

Step-by-step explanation:

P(satisfied or junior)= P(satisfied participant that are junior) + P(junior participant)

P(satisfied or junior)= 62/235 + 95/383

P(satisfied or junior)= 46071/90005

Part 1 of 3
the accompanying data are 45 commute times to work in minutes for workers of age 16 or older in chicago. construct a frequency distribution. use a
the data amounts appear to have a normal distribution? examine the data and identify anything appearing to be unique.
click the icon to view the commute times.
construct the frequency distribution.
commute time
(minutes)
frequency
(type whole numbers.)

Answers

The frequency distribution has been illustrated based on the information given.

What is frequency distribution?

It should be noted that frequency distribution is the representation that displays the number of observations that are in a given interval.

From the data distribution, the frequency distribution will be:

Class. Frequency

0 - 14.         5

15 - 29.      15

30 - 44.     13

45 - 59.      6

60 - 74.      5

75 - 89.       1

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Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.
k=______.

Answers

Answer:

5

Step-by-step explanation:

Look at one of the coordinates to find k. For this example I'll look at the y-intercepts (0, 3) (for g(x)) and (0, -2) (for f(x))

g(0) = 3

g(0) = f(0) + k

3 = -2 + k

5 = k

how many nonisomorphic spanning trees does each of these simple graphs have

Answers

The characteristics of a nonisomorphic spanning tree are:

One would have 3 vertices of degree 2 and 2 of degree 1, Another spanning tree would have one vertex of degree three, The third spanning tree would have one vertex of degree four.4

What is Nonisomorphic?

This refers to the quality of a group of things not having the same form and is popularly used in mathematics to show and make identifications of maths objects that are structurally well-defined.

Hence, we can see that your question is incomplete so I gave you a general overview of the topic for better understanding.

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HELP 100 POINTS!
Step 1- Select three sites to review:
Tombs of Buganda Kings, Aksum, &



Step 2- Create your public service announcement.

Site # 1- Name of Site, and Picture

Paragraph that includes how it relates to the African city or kingdom, and why the site is worth preserving.









Site # 2- Name of Site, and Picture

Paragraph that includes how it relates to the African city or kingdom, and why the site is worth preserving.











Site # 3- Name of Site, and Picture

Paragraph that includes how it relates to the African city or kingdom, and why the site is worth preserving.

Answers

The tomb are worth preserving as they are important to the legacy of the people.

What is a tomb?

It should be noted that a tomb simply means a repository of the remains of the dead. The Tombs of Buganda Kings can be found in Uganda.

It's a royal tomb and represents the heart of the Baganda people.

In this case, the tomb are worth preserving as they are important to the legacy of the people.

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Find the perimeter.
15 ft
25 ft
if the 25ft is diagonal in a rectangle

Answers

Using Pythagorean theorem,
Let c=25 & b=15.
Therefore a=20


Perimeter is 2l+2w, and since a=20&b=15 are the length and width, we can plug that into the formula to get

70 ft

Hope this helped :)

Answer:

P=70ft

Step-by-step explanation:

25^2-15^2=400
Sqrt400=20

2l+2w=P

40+30=70

there are 48 students on the school bus, 28 girls and 20 boys. what is the ratio to girls to boys on the school bus?


A. 5:7
B. 7:5
C. 3:4

Answers

Answer:

eather a 5:7 or c 3:4

Step-by-step explanation:

i rlly do hope this helps and good luck

Answer: B) 7:5

Step-by-Step Solution:

No. Of Boys = 20
No. Of Girls = 28
Total No. Of Students = 48

Ratio of Girls to Boys
= 28/20
= 14/10
= 7/5
=> 7:5

Correct Option is C) 7:5

How do you find what exponents of i are? like I know i^2 is -1, but how are you supposed to figure out i^26? do you have to write it all out?

THANK YOU

Answers

Answer:

-1

Step-by-step explanation:

so "i" is the square root of -1 (√-1). We know that i² = (√-1)², and that when we square a square root we end back up with whatever is inside of the square root.

This is why i² = -1

We can find a pattern from writing out a few exponents:

i¹ = i

i² = -1

i³ = -i  [(-1)(i)]

i⁴ = 1  [-1 · -1]

------

i⁵ = i  [(1)(i)]

i⁶ = -1 [(i)(i)]

i⁷ = -i [(-1)(i)]

i⁸ = 1 [(-i)(i)= -(i²)= -(-1) = 1]

------

i⁹ = i [1 · i]

we can see that the pattern of i repeats every 4 numbers, so by dividing 26 by 4 (and finding the remainder), we can figure out which step of the pattern we are on

26 / 4 = 6 [remainder of 2]

we know that there is a remainder of 2, meaning that we are on the "second step" in the pattern: -1

you can do the same thing for any number

hope this helps!!

Answer:

-1

Step-by-step explanation:

4 goes into 26 6 times, and then there's 2 remainder, so it's the same thing as i², which is -1

hope this is helpful :)

19% of 49 in a decimal

Answers

Answer:

[tex] 19\% \: of \: 49[/tex]

[tex] \frac{19}{100} \times 49[/tex]

[tex]0.19 \times 49[/tex]

[tex]9.13[/tex]

Answer:

39.69

Step-by-step explanation:

A percentage is on a scale of 100 so we divide 19 by 100

that makes 0.19.

Then multiply 49 with 0.19 that makes 9.31 (this is 19% of 49)

49 - 9.31 = 39.69

Which expression has a value of 16 when n = 5?
StartFraction 25 Over n EndFraction + 7
30 minus 3 n
7 + StartFraction 45 Over n EndFraction
n cubed minus 114

Answers

The expression that has a value of 16 when n = 5 is  [tex]\rm 7+ \dfrac{45}{n}[/tex] , Option C is the correct answer.

What is an Expression ?

An expression is mathematical statement consisting of variables , constant and mathematical operators.

The expression given in the question is

[tex]\rm \dfrac{ 25}{n} + 7 \\\\30-3n\\\\7+\dfrac{45}{n}\\\\n^3 -114[/tex]

On solving it can be seen that

The value of 16 when n= 5 is given by

7 +45/5 = 7+9 = 16

Therefore Option C is the right answer.

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simplify x²-4xy+4y²/x²+xy-6y²÷x²+3xy/x²+6xy+9y²​

Answers

Answer:

x-2y/x

Step-by-step explanation:

x²-4xy+4y²/x²+xy-6y²÷x²+3xy/x²+6xy+9y² = x-2y/x

A trader mixes 2 kg
of butter which costs $8 per kg
with 3 kg of butter which costs $6 per kg. He sells the mixture at $2.55 per 250g. Express his profit as a percentage of his selling price.

Answers

Answer:

33.3333%

Step-by-step explanation:

Total number of kg- 2+3=5

Total money- (2×8)=16

(3×6)=18

16+18=34

$34=5000g

=250g

(250×$34)÷5000=$1.7

profit-2.55-1.7=0.85

(0.85/2.55)×100=33.333%

3.) Let t= the number of tomatoes Tye planted last year.
This year she planted 3 times as many. Write an
algebraic expression to show how many tomatoes Tye
planted this year.

Answers

Answer:

3t

Step-by-step explanation:

The algebraic expression to show the number of tomatoes Tye planted this year is 3t

How to write the algebraic expression of Tye?

From the first statement given in the question, we were told that:

t is the number of tomatoes Tye planted last year

From the above statement, we can write the algebraic expression to show the number of tomatoes Tye planted this year. This is shown below:

Number of tomatoes planted last year = tNumber of tomatoes planted this year =?

Number of tomatoes planted this year = 3 × Number of tomatoes planted last year

= 3t

Thus, from the above illustration we can say that the algebraic expression is 3t

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A face of a suitcase measures 24 inches long and 18 inches wide. what is the diagonal length of the face?
30 in.
25 in.
20 in.
15 in.

Answers

I think the answer is 90in.

In a case whereby the face of a suitcase measures 24 inches long and 18 inches wide the diagonal length of the face is 30 in.

How can the diagonal length be calculated?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.

The suitcase measures 24 inches long and 18 inches wide

Using Pythagoras theorem,

The diagonal =[tex]\sqrt{18^{2} + 24^{2} }[/tex]

= [tex]\sqrt{900}[/tex]

=30 in.

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If F= {(1,5), (4, 1), (2, 7)}and g= {(3, 1), (5 4) (-6,2)} represent fog in mapping of agram and to find fog in ordered pair form​

Answers

From the given mappings, we have

[tex]f(1) = 5, f(4) = 1, f(2) = 7[/tex]

and

[tex]g(3) = 1, g(5) = 4, g(-6) = 2[/tex]

Then the composition of [tex]f[/tex] with [tex]g[/tex], or [tex]f\circ g[/tex], is

[tex]\boxed{f\circ g = \{(3,5), (5,1), (-6, 7)\}}[/tex]

since

[tex]g(3) = 1 \implies (f\circ g)(3) = f(g(3)) = f(1) = 5[/tex]

[tex]g(5) = 4 \implies (f\circ g)(5) = f(4) = 1[/tex]

[tex]g(-6) = 2 \implies (f\circ g)(-6) = f(2) = 7[/tex]

4. Find the area:
23 m
5 m
379m²
389m²
74m²
5 m
18 m
6 m

Answers

Answer: 379 meters squared

Step-by-step explanation:

Hello!

So, to calculate this area, we need to split it into 3 squares.

You can see that there is a big square, and on top of the big square, there are 2 smaller ones: one to the left and the other to the right.

Area of a square (in this case rectangle) = Lenght multiplied by width

We got 3 squares, if we calculate the area of each one's, we can add them together and get the total area of the irregular shape.

The first square will be the big one:

To get the length of the big square, we need to subtract 5 from 23.

Length of big square = 18 meters

And the width is also 18 meters

Area of the big square = 18 * 18 = 324 meters squared

Now, let's calculate the top left square's area.

That will be 5 meters * 5 meters.

Area of top left square = 25 meters squared.

Top right square's area = 6 meters * 5 meters.

Area of top right square = 30 meters squared

Now, we just gotta add them all up:

324 + 25 + 30 meters squared = 379 meters squared

Hope I Helped!

Can someone check if my equation is correct? Thank you so much!

Answers

Answer:

yes your eqation is correct...

in an enlargement PQ P1Q1|PQ|=3cm and|P1Q1|=15cm.Calculate the scale of the enlargement. ​

Answers

Answer:

374795-57770

Step-by-step explanation:

Abby uses

In your math class, there are 8 boys and 11
girls. What is the ratio of boys to total
students?

Answers

Answer: 8 : 19

Step-by-Step Explanation:

No. Of Boys = 8
No. Of Girls = 11
Total No. Of Students = 19

Ratio of Boys to Total Students
= 8/19
=> 8 : 19

Answer: 8:19 ✅

Step-by-step explanation:

Hii, let me help you out! ^^

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

⚜ Part 1 - #of Students ⚜

First we should find the total number of students. This can be done by adding the number of boys in this particular math class plus the number of girls in that same class. This is shown below.

[tex]\boldsymbol{Number\;of\,students=\quad Number\;of\;Girls+\;Number\;of\;boys}[/tex]

The number of girls is 11, and the number of boys is 8. Now, it's just a matter of sticking in the known values.

[tex]\multimap\quad \tt 8+11=19\;Students[/tex]

[tex]\large\text{Part 1 is Successfully Completed!}[/tex]

⚜Part 2 - Ratio ⚜

Let's set up a ratio of boys to the total number of students.

This is shown below:

[tex]\boldsymbol{Boys:Total\:\#\;of\;students}[/tex]

Once again, this is simply a matter of sticking in the known values.

[tex]\multimap\quad \tt 8:19[/tex]

[tex]\large\text{Part 2 is Successfully Completed!}[/tex]

What's more, we found the ratio, which is what we needed! (:

Voila! There's our answer, cheers! (:

____________________________________

Hope I helped! Best wishes.

Reach far. Aim high, Dream big.

[tex]\underbrace[/tex]

3. Find the value of √99225. Hence find the sum of √992.25 and √9.9225.

Answers

Step-by-step explanation:

The square root of √9.9225. is 315.

See the decimal places

therefore S,Q,R,T of 9.9225 is 31.5 and 9.9225 is 3.15.

Hence the sum, is (31.5+3.15)= 34.65.

Answer- Value- 315

Sum-34.65

If you can can i get a brain list i don't ever get them

Jocelyn is training for a race by running several miles each day. she tracks her progress by recording her average speed in minutes per mile for each day since she started training. based on the information given, what could jocelyn expect to have for her average speed on the 9th day?

Answers

Finding the regression equation, her average speed on the 9th day should be expected to be of 6.92 minutes per mile.

How to find the equation of linear regression using a calculator?

To find the equation, we need to insert the points (x,y) in the calculator.

Researching the problem on the internet, the values of x and y are given as follows:

Values of x: 1, 2, 3, 4, 5, 6.Values of y: 8.2, 8.1, 7.5, 7.8, 7.4, 7.5.

Hence, using a calculator, the equation for the average minutes per mile after t days is given by:

V(t) = -0.15143t + 8.28

Hence, for the 9th day, t = 9, hence the estimate is:

V(9) = -0.15143(9) + 8.28 = 6.92 minutes per mile.

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Lila and mick have pets. lila's pet has 6.73 toy bones. mick's pet has 5 times the many toy bones lila has. how many bones does mick's pet have?

Answers

Answer:33.65

Step-by-step explanation:

6.73 x 5= 33.65

The shorter leg of a right triangle is 5cm shorter than the longer leg. The hypotenuse is 5cm longer than the longer leg. Find the side lengths of the triangle.

Answers

Answer:

15, 20, 25

Step-by-step explanation:

added in the picture

Find the area of the following region.
The region common to the circles r=-2sin(theta) and r=1

Answers

The area of the region common to both circles is -6.67 square units

How to find the area common to both circles?

Since r = -2sinθ and r = 1, we find their points of intersection.

So, r = r

-2sinθ = 1

sinθ = -1/2

θ = sin⁻¹(-1/2)

θ = 7π/6

So, the circles intersect at (1,  7π/6)

To find the area of the region common to both circles, we integrate from r = 0 to r = 1 and θ = 0 to θ = 7π/6

[tex]A = \int\limits^1 _0 \int\limits^\frac{7\pi }{6} _0( {r - r}) \, dr \,d\alpha \\A = \int\limits^1 _0 \int\limits^\frac{7\pi }{6} _0( {-2sin\alpha - 1}) \, dr \,d\alpha \\A = -\int\limits^1 _0 \int\limits^\frac{7\pi }{6} _0 {2sin\alpha \, dr \,d\alpha - \int\limits^1 _0 \int\limits^\frac{7\pi }{6} _01} \, dr \,d\alpha \\A = 2[cos\alpha]_{0} ^{\frac{7\pi }{6} } [r]_{0} ^{1} r - [r]_{0} ^{1}} [\alpha ]_{0} ^{\frac{7\pi }{6}}} \\[/tex]

[tex]A = 2[cos{\frac{7\pi }{6} - cos0] [1 - 0] - ([1 - 0][\frac{7\pi }{6} - 0]\\[/tex]

A = 2(-¹/₂ - 1) - (1 × 7π/6)

A = 2(-3/2) - 7π/6

A = -3 - 7π/6

A = (-18 - 7π)/6

A = (-18 - 21.99)/6

A = -39.99/6

A = -6.67 square units

So, the area of the region common to both circles is -6.67 square units

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the scale on a map is 1 cm to 2 cm what is the actual distance between two town if the distance on the map is 5.5​

Answers

If the distance on the map is 5.5​ cm. Then the actual distance between two town will be 11 miles.

The complete question is given below.

The scale on a map is 1 cm to 2 miles. What is the actual distance between two town if the distance on the map is 5.5​ cm.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

The scale on a map is 1 cm to 2 miles.

If the distance on the map is 5.5​ cm.

Then the actual distance between two town will be

⇒ 5.5 cm = 5.5 × 2 miles

⇒ 5.5 cm = 11 miles

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Select the correct answer.
The radius of the ball bearings produced at a factory must be 1.25 centimeters, with a tolerance of 0.1 centimeter. Which equation can be used
to find the minimum and maximum radil accepted? (Assume rrepresents the actual radius of any given ball bearing.)
OA /r-1.25/= 0.1
OB. 11.25r-1.25/= 0.1
OC. /r-0.1/= 1.25
OD. /r-0.1r/= 1.25

Answers

The absolute value equation that can be used to find the minimum and maximum radius accepted is:

A. |r - 1.25| = 0.1.

What is the absolute value?

The absolute value function is defined as follows:

[tex]|x| = x, x \geq 0[/tex]

[tex]|x| = -x, x < 0[/tex]

It measures the distance of a point x to the origin.

In this problem, the absolute value of the difference between the radius and 1.25 cm must be of 0.1 to find the thresholds, hence the equation is:

A. |r - 1.25| = 0.1.

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The center of a circle is at the origin on a coordinate grid. A line with a positive slope intersects the circle at (0, 7). Which statement must be true?

Answers

The true statement is the circle has the radius equal to 7.

What is Equation of circle?

The general equation for a circle is (x-h)² + (y-k)² = r², where ( h, k ) is the center and r is the radius.

As, standard form of equation of circle is

(x-h)² + (y-k)² = r²

At origin, equation of circle will be

(0-h)² + (0-k)² = r²

r² = x² + y²

Now, The line intersects the circle at (0,7)

r² = 0² + 7²

r² =49

r=7.

Hence, the circle has the radius equal to 7.

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Find y
y
A.4
B. 4√2
C. 8
D. 2√2
X
30°
4√3

Answers

Step-by-step explanation:

z = 4√3

y = ?

Z° = 90° - 30° = 60°

Y° = 30°

• Find y.

y/sin(Y) = z/sin(Z)

y/sin(30°) = 4√3/sin(60°)

y/(1/2) = 4√3/(1/2 √3)

y . 1/2 √3 = 4√3 . 1/2

y . 1/2 √3 = 2√3

y = 2√3 . 2/√3

y = 4√3/√3

y = 4

The answer is A.

Easy Question For Ya'll

Answers

The statements and reasons that complete the proof are:

4. ∠SPQ ≅ ∠TQR [alternate interior angles theorem]

5. ΔPQS ≅ ΔQRT [ASA congruence theorem]

What is the ASA Congruence Theorem?

When two pairs of corresponding angles and one pair of included sides of two triangles are congruent, they are congruent triangles based on the ASA congruence theorem.

We are given the following:

QT ≅ PS [a pair of congruent sides]

∠T ≅ ∠S [a pair of congruent angles]

Thus, since QT is parallel to PS, therefore:

∠SPQ ≅ ∠TQR [alternate interior angles theorem]

Therefore, we can now state that  ΔPQS ≅ ΔQRT based on the ASA congruence theorem.

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Answer:

HOW IS THAT EASY??!?!?!?!?!?

Step-by-step explanation:

The statements and reasons that complete the proof are:

4. ∠SPQ ≅ ∠TQR [alternate interior angles theorem]

5. ΔPQS ≅ ΔQRT [ASA congruence theorem]

What is the ASA Congruence Theorem?

When two pairs of corresponding angles and one pair of included sides of two triangles are congruent, they are congruent triangles based on the ASA congruence theorem.

We are given the following:

QT ≅ PS [a pair of congruent sides]

∠T ≅ ∠S [a pair of congruent angles]

Thus, since QT is parallel to PS, therefore:

∠SPQ ≅ ∠TQR [alternate interior angles theorem]

Therefore, we can now state that  ΔPQS ≅ ΔQRT based on the ASA congruence theorem.

The vertical walls of two buildings are 50 m and 30 m tall. A vertical flagpole [XY] stands between the buildings such that B, Y, and C are collinear, and A, Y, and D are collinear. The vertical walls of two buildings are 50 m and 30 m tall . A vertical flagpole [ XY ] stands between the buildings such that B , Y , and C are collinear , and A , Y , and D are collinear . find the height of the flagpole​

Answers

Answer:

which class of this exam

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