what is the length of AB?
choices:
6 units
14 units
10 units
12 units

What Is The Length Of AB? Choices: 6 Units 14 Units 10 Units 12 Units

Answers

Answer 1

Answer:

[tex]\huge\boxed{\sf |AB|=10 \ units}[/tex]

Step-by-step explanation:

Coordinate of A = [tex](x_1,y_1)[/tex] = (-7,-6)

Coordinate of B = [tex](x_2,y_2)[/tex] = (1,0)

We will use distance formula to find the length of AB.

Length of AB:

[tex]|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\|AB|=\sqrt{(1-(-7))^2+(0-(-6))^2} \\\\|AB|=\sqrt{(1+7)^2+(6)^2} \\\\|AB|=\sqrt{(8)^2+36} \\\\|AB|=\sqrt{64+36} \\\\|AB|=\sqrt{100} \\\\\boxed{|AB|=10 \ units}\\\\\rule[225]{225}{2}[/tex]


Related Questions

On Monday, 56 biographies were
checked out at the library. This is 8 less
than twice the amount of fiction books
checked out that day. How many fiction
books were checked out on Monday?

Answers

Books=1/2x-8
56=1/2x-8
X=(56+8)÷1/2
X=64 ÷ 1/2
X=128
128 books

QUICKLY!!
Which of the following formulas is used to calculate the probability of mutually exclusive events

Answers

Answer:

P(AUB)=P(A)+P(B)

Step-by-step explanation:

I found it somewhereI don't know?Trust me:)

I need help ASAP pleaseee!!

Answers

Answer:

Vertex(1,7)

Vertex form: [tex]f(x)=-2\left(x-1\right)^2+7[/tex]

Step-by-step explanation:

Vertex form equations for x is [tex]v=-\frac{b}{2a}[/tex]

which the vertex here is

[tex]-\frac{4}{2\left(-2\right)}[/tex]

->

x = 1, plugin to find y, y = 7

Meg is 6 years older than Victor. Meg's age is 2 years less than five times Victor's age. The equations below model the relationship between Meg's age (m) and Victor's age (v):

m = v + 6
m = 5v − 2

Which is a possible correct method to find Meg's and Victor's ages? (5 points)

Solve m + 6 = 5m − 2 to find the value of m.
Write the points where the graphs of the equations intersect the x axis.
Solve v + 6 = 5v − 2 to find the value of v.
Write the points where the graphs of the equations intersect the y axis.

Answers

Answer:

Solve v + 6 = 5v − 2 to find the value of v.

Step-by-step explanation:

Answer:

Option 3

Step-by-step explanation:

The correct method to find Meg's and Victor's ages is to equate the equations for their ages.

Hence. the answer is :

Solve v + 6 = 5v − 2 to find the value of v.

1. The area of a rectangular carpet is X² + X - 2. HINT: Area = length X breadth

a). if X is a whole number, use factorization to find the length and the breadth of the carpet in terms of X.

b). if X = 2 m, find the actual dimensions of the carpet.

c). it costs R50 per square metre to make such this carpet. how much will it cost to manufacture 5 carpets?​​​

Answers

Answer:

a) Length= (x+2) and breadth=(x-1) b) 4 m^2 c) R1000

Answer:

answers in photo / +explanation

Step-by-step explanation:

a)

length: x+2

width/breadth: x-1

b)

length: 4m

width/breadth: 1m

area: 4m²

c)

R1000

75 points! what is the lateral area?

Answers

Answer:

48 units²

Step-by-step explanation:

Lateral Surface Area :

Area of the side faces (exclude the base)4 x 1/2 x 8 x 32 x 2448 units²

Answer:

48 units²

Step-by-step explanation:

The lateral area of a square based pyramid comprises the four triangular sides.

Area of a triangle = 1/2 × base × height

                             = 1/2 × 8 × 3

                             = 1/2 × 24

                             = 12 units²

Lateral SA = 4 × area of triangle

                 = 4 × 12

                 = 48 units²

A number, increased by four times the number, is 35. Find the number.

Answers

8.75 if 35 is the total if 35 is the start then the answer is 140

What is the product of 3x(x²+4)?
Ox²+3x+4
O 3x³ +4
O 3x³ + 12x
O 3x² + 12x

Answers

Answer:

3x³ + 12x

Step-by-step explanation:

3x(x² + 4)

3x³ + 12x

During a game of golf, Kayley hits her ball out of a sand trap. The equation h = t? + 4t -
21 models the height of the golf ball in feet in relation to the number of t seconds since it was hit. Kayley solved the quadratic by factoring: .
a. How many seconds does it take for her ball to reach the green?
b. How do we know the 2nd value isn't also a solution?

Answers

A quadratic equation is in the form of ax²+bx+c. It took 3seconds for the golf ball to reach the green.

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

A.) The time that the ball takes to reach the green can be found by equation the equation against zero. As the ball will have 0 height when it will be on the green,

t²+4t-21=0

t²+7t-3t-21=0

t(t+7)-3(t+7)=0

(t+7)(t-3)=0

t = -7, 3

Hence, it took 3seconds for the golf ball to reach the green.

B.) Since the time can not be negative the second value is wrong.

Learn more about Quadratic Equations:

https://brainly.com/question/2263981

#SPJ1

In triangle PQR,PQ=13 cm ,QR=18 cm and PR = 11 cm. Find the size of the largest angle.

Answers

Answer: ~96.83°

Step-by-step explanation:

1) It's obvious that the largest angle is the opposite to the largest side.

▪︎ QR = 18 (the largest side)

=> <QPR is the largest angle

2) Cosine Rule:

▪︎ QR^2 = QP^2 + PR^2 - 2*QP*PR*cos(QPR)

▪︎ 18*18 = 13*13 + 11*11 - 2*13*11*cos(QPR)

▪︎ 324 = 169 + 121 - 286*cos(QPR)

▪︎ 34 = -286*cos(QPR)

▪︎ cos(QPR) = -34/286

▪︎ <QPR = arccos(-34/286) = 96.827...°

Kiran walked at constant speed. He walked 1 mile in 15 minutes. Which of these equations represents the distance d (in miles) that Kiran walks in t minutes?
d = t + 14
d = t - 14
d = 15t
d = 115t

Answers

Answer:

C. d=15t

Step-by-step explanation:

it is C because you get the equivalent from the t and that t is the number 1 so 15×1 is 15

More information:

I hope this is able to help you, please feel free to give feedback if necessary :)

Help!! I don’t understand how to answer this

Answers

Answer:

The answer is option A

Step-by-step explanation:

The solution is in the image

Define a quadrilateral.


please explain and help me pls

Answers

Answer:

A Quadrilateral is a 4 sided figure. In other words any shape that has 4 sides is a quadrilateral for example square, rectangle, trapezium etc

Step-by-step explanation:

please help, 30 points, will give brainly

Answers

Answer:

∠ABC = 39°

Step-by-step explanation:

Since ED bisects ∠CBD :

∠EBD = ∠CBE = 30°

Now, ∠ABD = ∠ABC + ∠CBE + ∠EBD = 99°

Solving :

99° = ∠ABC + 30° + 30°∠ABC = 99° - 60°∠ABC = 39°

Whoever answers correctly gets 100 points and BRAINLIEST
Item 18
A trash can is shaped like a right rectangular prism. It has a base area of 3 square feet and a height of 314 feet.

What is the volume of the trash can?

4 7/8 ft³

6 1/4ft³

9 3/4ft³

12 1/2 ft³

Answers

Answer:

I think you may have made a typo, as it is extremely unlikely that a trashcan is 314 feet tall.  I will assume that you meant 3.14 feet.

Step-by-step explanation:

We already have the base, so we can already cut out one step.  If we were not given the base, however, we would simply multiply the length by the width of the prism.  Next we multiply the base by the height (3 X 3.14) to get the volume of the prism, 9.42 cubic feet.  In the case that there was no typo, and 314 was the correct height, the volume would be 942 cubic feet.

Volume

Base area×Height3×314942ft³

But unfortunately there is no option Present .

Let's correct question

make height =3.14ft

Volume=

9.42ft

Some how nearly present is 9-3/4 ft³ i.e 9.75ft³

Can someone please help? This is sooooooooo hard!!! :(

Answers

Answer:

BD = BE

Step-by-step explanation:

If BD = BE , angle BED = angle BDE.

Because they are in a same triangle.

And also they are congruent.

Question 3 of 10
If P(x,y) is the point on the unit circle determined by real number ø, then tang

Answers

The tangent on the unit circle is y/x

How to determine the tangent value?

The point on the unit circle is given as:

Point = (x,y)

By default

(cos(ø), sin(ø)) = (x,y)

This means that:

cos(ø) = x

sin(ø) = y

The tangent of an angle is:

tan(ø) = sin(ø)/cos(ø)

So, we have:

tan(ø) =y/x

Hence, the tangent on the unit circle is y/x

Read more about unit circle at:

https://brainly.com/question/16364735

#SPJ1

you deposit a check for $254.67 into your savings account. Your account has a balance of $419.33 after the deposit. Find the balance of your savings account before the deposit.

Answers

Answer:

$164.66

Step-by-step explanation:

Just subtract them from each other

Which relation is a function? PLEASE HELP

Answers

Answer:

A

Step-by-step explanation:

for the relation to be a function then each value of x in the domain must map to exactly one unique value of y in the range

this is the case for A

in B : 3 → 2 and 3 → 8 ← not a function

in C : - 2 → 5 and - 2 → 7 ← not a function

in D : 2 → 2 and 2 → 3 and 3 → 3 and 3 → 2 ← not a function

Answer is A I did this

The sum of negative eighteen and a number is eleven. What is the number?



Which equation could be used to solve the problem?

Answers

Answer:

-18 + x = 11

x = 29

Step-by-step explanation:

To solve this, you can use the formula of a + b = c

[tex]-18 + x = 11\\-18 = 18\\11 + 18 = 29\\x = 29[/tex]

Answer:

29

Step-by-step explanation:

Your equation can be -18+x=11. Since we don't know the number, we can use x. We are trying to find out a number that when it's added to -18, the answer will be 11.

Now, we solve the equation:

-18+x=11

x=11+18

x=29. Answer

To check this answer:

we can use our equation and substitute 29 for x.

-18+x=11

-18+(29)=11

11=11.

They are equal. Therfore, the answer is correct.

A triangular brace has an angle measure of 30 degrees, with a side opposite
this angle measuring 8 inches. The base of the triangular brace, which is
adjacent to the given angle measure, is 11 inches in length. Which of the
following statements is correct?
A. There is not a solution for the angle opposite the side measuring
11 inches.
B. The angle opposite the side measuring 11 inches has one solution
of approximately 43 degrees.
C. The angle opposite the side measuring 11 inches has one solution
of approximately 62 degrees.
D. The angle opposite the side measuring 11 inches, has two
solutions of approximately 43 degrees and 137 degrees.

Answers

The angle opposite the side measuring 11 inches has one solution of approximately 43°. Thus, the correct option is B.

What is Sine rule?

The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,

[tex]\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}[/tex]

where Sin A is the angle and α is the length of the side of the triangle opposite to angle A,

Sin B is the angle and β is the length of the side of the triangle opposite to angle B,

Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.

Using the sine rule, the measurement of the angle of opposite the side measuring 11 inches can be done. Therefore, the measure can be written as,

8/ Sin(30°) = 11/ Sin(θ)

Sin(θ) = [11 × Sin(30°)]/8

Sin(θ) = 0.6875

θ = Sin⁻¹ (0.6875)

θ = 43.4325° ≈ 43°

Hence, The angle opposite the side measuring 11 inches has one solution of approximately 43°. Thus, the correct option is B.

Learn more about Sine Rule:

https://brainly.com/question/17289163

#SPJ1

Drag the tiles to the correct boxes to complete the pairs.
Match the subtraction expressions with their answers.

Answers

From simplification of the given algebra, the correct answers are as shown below.

How to solve algebra problems?

1) (a² - b)/(a³b²)

This reduces to;

(a²/(a³b²)) - b/(a³b²)

⇒ a/(ab²) - 1/(a³b)

2) The algebraic expression is;

(b - a)/a³b³

⇒ b/a³b³ - a/a³b³

⇒ 1/a³b² - 1/a²b³

3) The algebraic expression is;

(2 - ab²)/(a²b³)

⇒ (2/(a²b³)) - (ab²)/(a²b³)

⇒ 2/(a²b³)) - 1/(ab)

4) The algebraic expression is;

(2 - ab²)/(a²b³)

⇒ 2/(a²b³) - 1/ab

Read more about Algebra at; https://brainly.com/question/4344214

#SPJ1

Maddie's backyard is 25 meters by 25 meters. She wants to put a square cement patio in her backyard. She does not want the patio to be as
large as the yard. Let A be the area of the patio, in square meters.

Which inequality represents the possible length of the patio?
A. √A> 25
B. √A < 25
C. √A> 625
D. √A < 625

Answers

The inequality that represents the possible length of the patio is √A < 625.

How to represent an inequality?

Maddie's backyard is 25 meters by 25 meters.

Therefore,

area of the backyard = 25 × 25  = 625 m²

Hence,

She wants to put a square cement patio in her backyard.

A = area of the patio, in square meters.

Hence,

area of the backyard = 625 m²

Therefore, the inequality that represents the possible length of the patio is √A < 625.

learn more on inequality here: https://brainly.com/question/23919881

#SPJ1

The equation y= -3x7 describes a parabola. Which way does the parabola
open?

Answers

Answer:

See below

Step-by-step explanation:

y = -3 x^7   is NOT a parabola....   y = -3x^2  IS a parabola that opens downward due to the negative coefficient (-3)

What is the value of x in the equation shown Below?2(x+4)-4x=10x-4

Answers

Answer: 1

Step-by-step explanation:

HELP ASAP

Find the volume of the sphere. Round your answer to the nearest tenth.

Answers

Answer:

V = 3053.63 mm^3

Step-by-step explanation:

radius : 9mm

V = 4/3 * pi * r^3

V = 4/3 * (3.1415926535898...) * 9^3

V = 3053.63 mm^3

g(x) = x3 + 6x2 + 12x + 8

A 2-column table with 5 rows. The first column is labeled g of x with entries negative 3, negative 2, 0, 2, 3. The second column is labeled f of x with entries negative 1, 0, 8, 64, 125.

Determine the function’s value when x = −1.

Answers

The value of the function g(x) = x^3 + 6x^2 + 12x + 8 when x = -1 is 1

How to evaluate the function?

The equation of the function is given as:

g(x) = x^3 + 6x^2 + 12x + 8

When x = -1, we have:

g(-1) = (-1)^3 + 6(-1)^2 + 12(-1) + 8

Evaluate the expression

g(-1) = 1

Hence, the value of the function g(x) = x^3 + 6x^2 + 12x + 8 when x = -1 is 1

Read more about functions at:

https://brainly.com/question/4025726

#SPJ1

Answer:

g(-1) = 1

Step-by-step explanation:

What is the surface area in square inches of a basketball that has a diameter of 9 inches

Answers

if its diameter is 9, that means its radius is half that, or 4.5.

[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4.5 \end{cases}\implies \begin{array}{llll} SA=4\pi (4.5)^2\implies SA=81\pi \\\\\\ SA\approx 254.47~in^2 \end{array}[/tex]

The surface area of the basketball with diameter of 9 in will be 254.34 in².

What is surface area?

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given that, a basketball has a diameter of 9 inches we need to find its surface area,

Since, the basketball is in the shape of the sphere and the surface area of the sphere = 4π×radius²

Therefore, the surface area of the basketball =

= 4×3.14×(9/2)²

= 4×3.14×4.5×4.5

= 254.34 in²

Hence the surface area of the basketball with diameter of 9 in will be 254.34 in².

Learn more about surface area click;

https://brainly.com/question/29101132

#SPJ2

Pls help I will give brainliest!!

Answers

Answer:

A. (-8, 0)

Step-by-step explanation:

The side of the line that is shaded contains the solutions to the inequality. (-8, 0) is in the shaded part of both graphs.

Also, 0 > -15 and 0 [tex]\geq[/tex] -9

I hope this helps :)

How do I simplify this (w²+6)-(3w² + 4w)

Answers

Answer:

6-2w(w+2)

Step-by-step explanation:

6-2w²+4w

6-2w(w+2)

Other Questions
Please help!! Will give brainliest Question 3 of 10Select the expression that is equivalent to (x-3). A board game uses a deck of cards that players draw from to move tokens around the board. The probability of selecting a card that moves a player's token forward is 32%. Over the course of a game, the deck is shuffled and reused as necessary. Approximately how many cards must be drawn from the deck before players' tokens move forward 50 times? Tell about a teacher who helpedyou in the past. Graph y = |x| + 2Please help A, B & C lie on a straight line.D, C & E lie on a different straight line.Angle y= 107 and angle z = 56.Work out x A line has a slope of -3 and passes through the pointpasses through the point (-2, -3/2)By substituting into the equation y = mx + b, find the value of b for this line what is the area of the base? could someone please answer this will give brainliest What is the center of the circle described by the equation (x-6) + (y + 5) = 25? (42)What is the speed of sound in air at a temperature of 15C? You borrowed $1, 690 for 5.5 years compounded semi annually at an interest rate of 5.7%. What total do you pay back Changes in environmental conditions always result in new ecosystems and loss of biodiversity characterized by an increase in the number of some species, the evolution of new species, and the extinction of some species. Writing workshop: visual media analysis read the following excerpt from a media response essay. the ad features a brightly colored banner and a couple of twenty-somethings sitting comfortably together, smiling happily, and sharing a set of headphones to listen to music. certainly the ad will catch the attention of and appeal to young adults. in this excerpt, the writer is providing a thesis that reflects topic and viewpoint. ending the essay with a strong conclusion. analyzing the advertising methods of the ad. giving an explanation of the target audience. can someone help please which two forces operate over only very SHORT distances?A. weak nuclear and gravitational B. strong nuclear and gravitational C. weak nuclear and electromagneticD. strong nuclear and weak nuclear PLEASE HELP IMPORTANT TO MY GRADE!! How did the Radical Republicans react when Johnson tried to allow former southern Confederate leaders to regain their political offices?They passed the Reconstruction Act of 1867, which banned Confederate leaders from taking office.They passed the Civil Rights Act of 1866, which forced southern states to have African Americans in their state legislatures.They impeached Johnson, but they were unable to remove him from office.They allowed the former Confederate leaders to regain control, ending their Reconstruction efforts. After his tour of asia, my grandfather concluded that the taj mahal was the most most beautiful structure in india, if not the world where are the capitilzation errors SOMEONE HELP ASAP! PLEASE EXPLAIN IN DEPTH! Find the area. You must show all work to receive credit. (10 points)Figure ABCDEF is shown. A is located at negative 5, negative 8. B is located at 1, negative 8. C is located at 3, negative 5. D Which of the following presidential powers, do you suppose, is used most frequently?request impeachment proceedings against federal judgesdeclare warapprove or veto laws passed by Congressappoint advisors