The midpoint of overline AB is M(-4, -3). If the coordinates of A are (-1, -2) what are the coordinates of B?

Answers

Answer 1

Answer:

(-2.5,-2.5)

Step-by-step explanation:

(-4+-1)÷2=-2.5

(-3+-2)÷2=-2.5

Answer 2

Answer:

(-7, -4)

Step-by-step explanation:

Equating A and B to the Midpoint (M) :

(-4, -3) = (-1 + x / 2, -2 + y / 2)

Equations formed :

-1 + x / 2 = -4-1 + x = -8x = -7

    2. -2 + y / 2 = -3

-2 + y = -6y = -4

Coordinates of B :

(x, y)(-7, -4)

Related Questions

Jacob wants to find the volume of a roll of paper towels.


Which composition produces a solid with the same shape and dimensions as the roll of paper towels?

A.
a difference between two cylinders with the same height and different radii
B.
a difference between a hemisphere and a cylinder with the same radius
C.
a difference between two cylinders with the same radius and different heights
D.
a difference between two hemispheres with the same center

Answers

A. A difference between two cylinder with the same height and different radii

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The correct option is A, the difference between two cylinders with the same height and different radii.

What is a cylinder?

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.

Since the shape of a paper towel is like a cylinder, therefore, the composition that produces a solid with the same shape and dimensions as the roll of the paper towel is a difference between two cylinders with the same height and different radii.

Hence, the correct option is A.

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3.2 Tshego also intends tiling the dining room and lounge floors. The dimensions of the lounge floor are 4 m by 5 m and of the dining room floor 3 m by 4 m. Information and cost: Tshego intends using tiles that are 35 cm by 35 cm. One box of 4 tiles costs RI43,84. Tile cement costs R99,90 per 20 kg bag, which covers 3 m². She needs 4 bags of tile grout at R89,90 per 5 kg bag. The cost of labour is R2 500. Tshego's total budget for the tiling project is R15 000. Use the information above to answer the questions that follow. 3.2.1 Show that the total floor area to be tiled is 32 m². You may use this formula: Area of a rectangle = length x width (2)​

Answers

Using the area of a rectangle, the total floor area to be tiled = area of the dinning room + area of the lounge floor = 32 m²

What is the Area of a Rectangle?

The area of rectangle = (length)(width).

Total floor area to be tiled = area of the dinning room + area of the lounge floor

Total floor area to be tiled = (4)(5) + (3)(4)

Total floor area to be tiled = 20 + 12

Total floor area to be tiled = 32 m²

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please help mee i will give brainliest ​

Answers

Answer:

420*3/2 = 630

630/60 = 10.5

=> B direction isn't relevant with velocity

Answer:

A. 10.5

Step-by-step explanation:

I divided 450 by 40 for the velocity of 10.5 brainliest please!!

PLEASE HELP 5 POINT ASSIGNMENT (LEASE TO GREATEST PROBLEM)

Order, 1/2, 5/6, 2/3, and 3/5 from least to greatest

Answers

Answer:

1/2 < 3/5 < 2/3 < 5/6

Step-by-step explanation:

Using the given inputs:

1/2 5/6 2/3 3/5

The least common denominator (LCD) is: 30.

Rewriting as equivalent fractions with the LCD:

1/2 5/6 2/3 3/5

15/30 25/30 20/30 18/30

Sorting this table by the numerators of the equivalent fractions in order from least to greatest:

1/2 3/5 2/3 5/6

15/30 < 18/30 < 20/30 < 25/30

Therefore, the sorted inputs in order from least to greatest is:

1/2 < 3/5 < 2/3 < 5/6

Please help ASAP!!
see attachment below!

Answers

hey there !

7C5 = 7 x 6 x 5 x4x3/5 x 4 x 3 x2x1 = 7

Hence option d is correct z


A cuboid with dimensions 45 cm by 16 cm by 12 cm is cut to form smaller cubes of
length 4 cm. What is the maximum number of cubes that can be obtained?

Answers

Answer:

135 cubes

Step-by-step explanation:

Volume of cuboid :

45 x 16 x 12720 x 128,640 cm³

Volume of a small cube :

(4)³64 cm³

Number of cubes :

n = 8,640/64n = 135 cubes

Find the measure of exterior angle 1

Answers

Lol, I am learning about this too!! The trick is to add 60 and 25. Meaning your answer is B. (85)

Write a cosine function that has a midline of 3, an amplitude of 4 and a period
of pi.

Answers

Answer:

[tex]f(x)=4\cos(2x)+3[/tex]

Step-by-step explanation:

Using the general equation [tex]f(x)=a\cos(bx+c)+d[/tex], we already know that [tex]a=4[/tex] and [tex]d=3[/tex], but we need to find [tex]b[/tex] from the period:

[tex]\frac{2\pi}{|b|}=\pi\\ 2\pi=b\pi\\2=b[/tex]

Hence, the cosine function is [tex]f(x)=4\cos(2x)+3[/tex]

A catalog with 625 pages has 6 pages with tables.

What percent of the pages have tables?


0.16%

0.96%

1.28%

1.92%

Answers

Answer:

0.96%

Step-by-step explanation:

We are looking for the percent that represents "6 out of 625"

Divide to find the decimal answer:

6/625 means

6 ÷ 625

= 0.0096

Then multiply by 100 to change to a percent.

0.0096 × 100

= 0.96%

The graphs below have the same shape. f(x) = x².
What is the equation of the graph of g(x)?

Answers

Answer:

C. g(x) = (x - 4)²

Explanation

g(x) is f(x) right 4 units

When shifted right, x - a, a is the distance

So g(x) = (x - 4)² is the answer

HOPE THIS HELPS AND HAVE A NICE DAY <3

Simplify

[tex]\sqrt{81-18\sqrt{7}+7 }[/tex]

Answers

Answer:

The given equation is expansion of (a-b)² = a²-2ab+b²

[tex]\sqrt{81-18\sqrt{7}+7} \\ \sqrt{ {9}^{2} -2 \times 9 \times \sqrt{7}+ { \sqrt{7} }^{2} } \\ \sqrt{ {(9 - \sqrt{7})}^{2} } \\ {(9 - \sqrt{7})}[/tex]

hope that help.

Answer:

[tex]9-\sqrt{7}[/tex]

Step-by-step explanation:

Given expression:  [tex]\sqrt{81-18\sqrt{7}+7}[/tex]

To simplify the given expression, use the "A minus B Whole Square" identity.

A minus B Whole Square identity

[tex](a-b)^2=a^2-2ab+b^2[/tex]

Comparing  [tex]81-18\sqrt{7}+7[/tex]  to the right side of the identity:

[tex]a^2=81 \implies a=\sqrt{81}=9[/tex][tex]b^2=7\implies b=\sqrt{7}[/tex][tex]-2ab=-18\sqrt{7}=-2 \cdot 9\sqrt{7}[/tex]

Therefore:

[tex](9-\sqrt{7})^2=81-18\sqrt{7}+7[/tex]

Finally:

[tex]\sqrt{81-18\sqrt{7}+7}=\sqrt{(9-\sqrt{7})^2}=9-\sqrt{7}[/tex]

If the coordinates of point Q are (−12,√32), then what is the value of tan(m) ?

Answers

Vector components are expressed in the form (x, y). The measure of tan m given the coordinate Q is -√32/12

Direction of a vector

Vector components are expressed in the form (x, y). Given the  coordinates of point Q are (−12,√32), the measure of the angle is expressed as;

m = arctan(y/x)

m = arctan (-√32/12)

Take the tan of both sides

tan m = tan arctan(-√32/12)

tan m = -√32/12

Hence the measure of tan m given the coordinate Q is -√32/12

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Can some one help me please

Answers

Answer:

a) angle A = angle Z

angle B = angle X

angle C = angle Y

b) AB= ZX

AC=ZY

BC=XY

c) triangle CAB=YZX

hope it helps you

Find the arc length of an arc with a Central angle of 2π/3 radians and a radius of 6 units

Answers

Answer:

Step-by-step explanation:

The radius of a semicircle is 9.1 centimeters. What is the semicircle's perimeter?

Answers

Answer:

46.77 cm

Step-by-step explanation:

Perimeter of the semicircle = Circumference + 2r

πr + 2r = r (π + 2)9.1 (3.14 + 2)9.1 (5.14)46.77 cm

need help with sigma notation

Answers

Answer:

114126  

Step-by-step explanation:

The given expression describes the GP with

The first term:

t = 80(1.23²⁻²) = 80(1.23⁰) = 80

The common ratio:

r = 1.23

It is required to find the sum of the terms from 2 (the bottom number of sigma) through 29 (the top number of sigma)

The number of terms is

n = 29 - 2 + 1 = 28

The sum of the first 28 terms is

Sₙ = t(rⁿ - 1)/(r - 1) S₂₈ = 80(1.23²⁸ - 1)/(1.23 - 1) = 114125.75573 ≈ 114126 (rounded)

Answer:

114,126 (nearest whole number)

Step-by-step explanation:

Geometric sequence

General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]

(where a is the first term and r is the common ratio)

Given:

[tex]\displaystyle \sum^{29}_{n=2}80(1.23)^{n-2}[/tex]

The sigma notation means to find the sum of the given geometric series where the first term is when n = 2 and the last term is when n = 29.

First term (a)

Determine the first term by substituting n = 2 into the given expression:

[tex]n=2 \implies 80(1.23)^{2-2}=80[/tex]

Common ratio (r)

From inspection, the common ratio is 1.23.

nth term

As the first term is when n = 2 and the last term is when n = 29, there is a total of 28 terms.

Therefore:

a = 80r = 1.23n = 28

Sum of the first n terms of a geometric series:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

Substituting the given values into the formula:

[tex]\implies S_{28}=\dfrac{80\left(1-1.23^{28}\right)}{1-1.23}=114125.7556[/tex]

Therefore, the sum of the given geometric series is 114,126 (nearest whole number)

A cable extends from the top of a radio tower to a point 360 feet from the base of the tower. If the
cable is 850 feet long, how tall is the tower?

Answers

Step-by-step explanation:

we have a right-angled triangle :

the Hypotenuse (baseline opposite of the 90° angle) is the 850 ft cable from the top of the tower down to the point on the ground 360 ft away from the tower.

then the ground distance (360 ft) and the height of the tower are the 2 legs.

so, we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse.

in our case

850² = 360² + height²

height² = 850² - 360² = 592,900

height = 770 ft

the tower is 770 ft tall.

Answer:

770 feet

Step-by-step explanation:

Given

Cable = 850 feet longExtends from radio tower to a point 360 feet from the base of a tower

Solving

Using the Pythagorean Theorem, we can find the height(distance from base)² + (height)² = (length of cable)²height² = (850)² - (360)²height² = 722,500 - 129,600height² = 592,900height = √592,900height = 770 feet

Suppose 60% of a herd of cattle is infected with a particular disease. let p = the number of non diseased cattle in a sample of size 5. the distribution of y is

Answers

The distribution of y is [tex]P(y) = ^5C_y * (60\%)^y * (1 - 60\%)^{5-y}[/tex]

How to determine the distribution?

The given parameters are:

Probability of success, p = 60%

Sample size, n = 5

The distribution of y is represented as:

[tex]P(y) = ^nC_y * p^y * (1 - p)^{n-y}[/tex]

So, we have:

[tex]P(y) = ^5C_y * (60\%)^y * (1 - 60\%)^{5-y}[/tex]

Hence, the distribution of y is [tex]P(y) = ^5C_y * (60\%)^y * (1 - 60\%)^{5-y}[/tex]

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Enter an equation for which the solution is the speed of the train, in miles per hour, where the train's distance from the departing station is 162 miles and it has traveled for 3 hours. what is the equation for the speed of the train?

Answers

Answer:

Step-by-step explanation:

Formula

speed = distance / time

Givens

speed = ?

distance = 162 miles.

Time = 3 hours.

Solution

speed = 162 / 3

speed = 54 miles per hour.

If f(x)=X²-3, what is the value of f(-3)?

Answers

__________________________________________________________

Hello! In this question, we are trying to solve the expression with a given value.

__________________________________________________________

Explanation:

In this question, we were given our f(x) equation: f(x) = x² - 3

We were also given the value of our variable "x": -3

To solve the expression, we would plug in our "x" value, -3, into the "x" variables in our expression and solve.

Solve:

f(x) = x² - 3

f(-3) = (-3)² - 3

= 9 - 3

= 6

Therefore, the value of f(-3) is 6.

__________________________________________________________

Answer:

f(-3) = 6

__________________________________________________________

To solve this problem, you will substitute an existing value into a function in order to find the y-coordinate at that x-coordinate.

Substitute

Given the function f(x) = x² - 3, evaluate the function at f(-3) by substituting in x = -3:

[tex]f(-3) = -3^2-3[/tex]

Use Order of Operations

Use BPEMDAS, which stands for:

Brackets

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

First, evaluate -3².

[tex]-3\times-3=9[/tex]

Then, evaluate the rest of the expression by subtracting 3 from 9:

[tex]9 - 3 = \boxed{6}[/tex]

The final answer is f(-3) = 6.

How many 4-digit numbers are neither multiples of 2 nor multiples of 5?

Answers

There are 10,000 total four-digit numbers (1000 through 9999).

Multiples of 2 end in 0, 2, 4, 6, and 8. There are 9*10*10*5 = 4500 four-digit multiples of 2.

Multiples of 5 end in 0 or 5. There are 9*10*10*2 = 1800 four-digit multiples of 5.

There is redundancy between the two sets of numbers, namely those that end in 0, which are both multiples of 2 and 5. There are 9*10*10*1 = 900 four-digit multiples of both 2 and 5.

Then there are 4500 + 1800 - 900 = 5400 total four-digit numbers that are either multiples of 2 or 5, which means the remaining 4600 numbers are neither multiples of 2 nor 5.

Answer:

3,600

Explanation:

There's nine thousand numbers here, 4,500 of which are even, you will need to subtract mutiples of five from this number, making it even smaller.

subtract the non-even five's (exactly half of the 1800 hundred fives that fit in our little original number, (900!) ) 4,500-900= 3,600. Which should be your answer. :D

Step-by-step explanation:

Here is Diya's work writing the expression 6 - 2x + 5 + 4x with fewer terms. Describe the mistake that Diya made.

Diya's Work
6- 2x + 5 + 4x
4x +
9x
13x Write an expression equivalent to 6 - 2x + 5 + 4x that has two terms.​

Answers

Answer:

Below.

Step-by-step explanation:

This is the correct solution:

6 - 2x + 5 + 4x

= -2x + 4x + 6 + 5

= 2x + 11.

It looks like they added  unlike  terms together (4x + 5) to give 9x (incorrect)  then added the 4x to give 13x.

Teenegers were asked how many times a week they were reminded to do chores. The responses are shown in the graph. What is the mean of the number of times per week that they were reminded?

Answers

Answer:

i could help but i don't see the graph chart

Step-by-step explanation:

find the dot product of the pair of vectors and determine whether they are normal. (4,-3) and (-3,-4)​

Answers

Answer:

normal

Step-by-step explanation:

Dot Product of Vectors

Multiply x-values with x-values and same for the y-values4(-3) + (-3)(-4)-12 + 120

As the dot product of the vectors equals 0, the vectors are normal.

Michael has a room in his house that is shaped like a parallelogram the length of the room measures 16 feet and the width measures 26 what is the perimeter of the

Answers

Answer:

84 ft

Step-by-step explanation:

16 + 16 + 26 +26 = 84

What is the slope of the line that contains the points in the table?
X
4
-1
2
8

Y
-9
-9.75
-10.5
-12​

Answers

Answer:

[tex]\frac{3}{20}[/tex]

Step-by-step explanation:

slope/gradient=[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

                        =[tex]\frac{-9.75+9}{-1-4}[/tex]

                        =[tex]\frac{3}{20}[/tex]

Find the length of side X in the simplest radical form of the rational denominator

Answers

[tex]~~~~~~~\cos 45^{\circ} = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\\\implies \dfrac 1{\sqrt 2} = \dfrac{\sqrt 3}{x}\\\\\\\implies x = \sqrt 3 \cdot \sqrt 2\\\\\\\implies x = \sqrt {3 \times 2}\\\\\\\implies x = \sqrt 6[/tex]

A class of 50 students votes for a class president.
Candidate A receives 19 votes.
Candidate B receives 31 votes.

Use this information to answer the questions below.

Answers

Answer:

[tex] \frac{31}{50} \\ \frac{31}{50} \times 100 = 62\% [/tex]

To make a fraction you must find the total amount of students so A+ B= total students
19+31= 50 students
Question #1: will be B/ total students which is 31/50
Question #2: to find percentage I like to cross multiply. X= total percentage voting 31/50 * x/100
31*100= 3,100
3,100/50= 62
X=62%

A bus stops at a bus stop every 45 minutes. Once a person gets to the bus stio, what is the probability they will wait for no more than 20 minutes?

Answers

Answer:

≈ [tex]44.4%[/tex][tex]%[/tex]%

Step-by-step explanation:

The person will wait for no more than 20 minutes if they arrive when the bus is going to stop in 20 minutes, which means that they must arrive 25 minutes after the previous bus stops. So the probability that the person will not wait for more than 20 minutes will be [tex]\frac{20}{45}[/tex] which is about 44.4%.

HELP!!

Which of the statements below are true for linear functions? Select all that apply.

1. The general equation is y = mx + b.

2. The general equation is y = ax^2 + bx + c

3. The general equation is y = ab^x

4. The graph contains a vertex

5. The slope of the graph is constant and can be defined as rise over run.

Answers

[tex]\rule{60}{1}\:\:\:\rule{60}{1}\:\:\:\rule{60}{1}\:\:\:\rule{60}{1}[/tex]

[tex]\diamond\large\blue\textsf{\textbf{Given question:-}}}[/tex]

         Which of the statements below are true for linear functions?

         Select all that apply.

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

       The general equation for linear functions is [tex]\bold{y=mx+b}[/tex].

The equation [tex]\bold{y=ax^2+bx+c}[/tex] is the general equation for quadratic functions.

The equation [tex]\bold{y=ab^x}[/tex] is the general equation for exponential functions.

Linear functions don't have a vertex, they have slope (m) and y-intercept (b).

One way we can define the slope of a linear function is

[tex]\bold{Slope=\dfrac{Rise}{Run}}[/tex]

So we conclude that the right options are

[tex]\square\!\!\!\!\checkmark[/tex] The general equation is y=mx+b.

[tex]\square\!\!\!\!\checkmark[/tex] The slope of the graph is constant and can be defined as rise over run.

Good luck with your studies.

[tex]\rule{300}{1}[/tex]

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