Find the equation of the line containing the points (-2,0), (4, 18) and (5,21).

Answers

Answer 1

Answer:

y=3x+6

Step-by-step explanation:


Related Questions

Select the expression that is equal to –10(4x – 5).

Answers

Answer:

-2 (20x - 25)

Step-by-step explanation:

Answer:

40x - 50

Step-by-step explanation:

10(4x)= 40x

10(-5)= - 50

40x - 50

Identify the center and radius of the circle with the following equation: [tex]x^2+y^2+4x+8y+11=0[/tex]

Answers

Hey there,

Put the equation into the circle equation [ (x - h)² + (y - k)² = r² ].

x² + y² + 4x + 8y = -11

(x² + 4x) + (y² + 8y) = -11

(x + 2)² + (y + 4)² = 9

If that is confusing, you can always rewrite it to show exactly what you need in the circle equation.

(x - (-2))² + (y - (-4))² = 3²

Therefore, using the circle equation we can see that the center is at the point (-2, -4) and the radius is 3.

Best of Luck!

Answer:

[tex] \displaystyle \text{centre} :( - 2, - 4)[/tex]

[tex] \text{redius} : 3[/tex]

Step-by-step explanation:

we are given a circle equation

[tex] \rm \displaystyle {x}^{2} + {y}^{2} + 4x + 8y + 11 = 0[/tex]

we want to figure out the centre and the redious of the circle from the equation notice that the given circle equation is in general form given by

[tex] \rm \displaystyle {x}^{2} + {y}^{2} +A x +B y +C = 0[/tex]

general form of circle equation is a simplified version of standard form. the standard form of circle equation is given by:

[tex] \displaystyle (x - h {)}^{2} + (x - k {)}^{2} = {r}^{2} [/tex]

where:

(h,k) is the centrer is the redious

notice that the there're two completed squares in the standard form therefore we can consider completing square to figure out the centre and the redious

indentifying centre and redious:

rearrange:

[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) + 11 = 0[/tex]

cancel 11 from both sides:

[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) = - 11[/tex]

add 4 to the both sides so that the equality don't affect:

[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = -11 + 4[/tex]

simplify addition:

[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = - 7[/tex]

once again to complete the square add 16 to both sides which yields:

[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y + 16) = 9[/tex]

complete the squares by using (a+b)²=a²+2ab+b² pattern:

[tex] \rm \displaystyle ( {x}+ 2) ^{2} +( {y} + 4) ^{2} = 9[/tex]

we can still rewrite it to figure out the redious and the centre:

[tex] \rm \displaystyle ( {x} - ( - 2)) ^{2} +( {y} -( - 4) ) ^{2} = {3}^{2} [/tex]

therefore we obtain:

centre:(h,k)=(-2,-4)redious:r=3

and we are done!

F(x) = x^2 -7x +14, g(x) = 4x -9

Find (g ° f)(x)

Answers

Answer:

Set up the composite result function.

g(F(x)) Evaluate g(x2−7x+14)

by substituting in the value of F into g.

g(x2−7x+14)=4(x2−7x+14)−9

Simplify each term.

g(x2−7x+14)=4x2−28x+56−9

Subtract 9 from 56.

g(x2−7x+14)=4x2−28x+47

Step-by-step explanation:

Trigonometry mixed please help

Answers

I’ve attached my answer
Hope it helps!

A concert was attended by 250 people if 30% of the people went to the basketball game, how many people went to the basketball game.

Answers

Answer:

75

Step-by-step explanation:

Answer:

75 People attended the basket ball game.

Step-by-step explanation:

If you multiply your percent by your total number you get the answer

0.30 x 250 = 75

Which
equation is represented by the graph?

Answers

Answer:

Cosine graph

Step-by-step explanation:

Mark as brainliest

find the area will mark brain list

Answers

Answer:

43

Step-by-step explanation:

18+10=28 10+5=15 15+28=43

HELPPPPPPP!!!!! ITS DUE SOONNN

Answers

W= -1,-2
V=-3,-2
U=1,-2

A square has an area of 100cm^2.What is the perimeter of the square?​

Answers

Answer:

40 cm

Step-by-step explanation:

Perimeter of a square = 4a

=4 ( 10 )

=40cm

Have a nice day!

The only way that you shouldn’t do is wrong and I can get it on your website if it does commager you know how it is now it doesn’t matter if I don’t have to the text I want it I can put the link in it I have never a text from the other person that is a good but it’s a little more user to do that I don’t know why I can’t even see that it is not the same thing.

Answers

Is this a question or a statement

Umm wha? This makes no sense to me. Like what are you sayin

unit 7 polynomials and factoring homework 7 factoring trinomials answer key

Answers

what is this supposed to be ?

Help please!! What would you do to get "X" all by itself on the
left side of the equation?

Answers

Answer:

Add 1

Step-by-step explanation:

I hope this helps :)

Answer:

You would need to add one

Step-by-step explanation:

Since there is a negative one, you will get rid of it by adding one

(Just do the opposite of the the sign)

HAVE A GREAT DAY! :)

Vanna is saving for a trip. The hotel room will be $298.17 for 3 nights, and there will be additional fees. What is her daily cost?

Answers

Answer:

The daily cost is $99.39.

Step-by-step explanation:

In order to find the answer with the information provided, you have to divide the price given for 3 nights by the number of nights to determine the price per night which would be her daily cost:

$298.17/3=$99.39

According to this, the answer is that the daily cost is $99.39.

Help please!! Will give 5 star rating for correct answer!!

Answers

Answer:

x = 74 degrees

Hope that helps

Answer:

74

Step-by-step explanation:

2x+32=180

2x=148

x=74

The graph below shows the solution to which system of inequalities?

Answers

I think c I might be wrong though

Answer:

B: y >= 2

   y < x

Step-by-step explanation:

The system of equations is the equations of the two line

The flat line is constant (doesn't increase or decrease) and has a y-intercept at two, so the equation for it is y = 2. Notice the shaded region is above the line, and it is not a dotted line so it is y >= 2.

The second line has a y-intercept at 0 and seems to have a slope of 1, so the equation for it is y = x. Notice the shaded region is below the line, and it is a dotted line so it is y < x.

What are the zeros of the function
f(x)=x^2-7x−30

Answers

Answer:

x = 10 , -3

Step-by-step explanation:

x² - 7x - 30 = 0

x² + 3x - 10x - 30 = 0

x ( x + 3 ) - 10 ( x + 3 ) = 0

( x - 10 ) ( x + 3 )

x = 10 , -3

Answer:

-3 and 10

Step-by-step explanation:

[tex]f(x)=x^2-7x-30[/tex]

1) Factor the equation

First, find two factors of -30 which has a sum of -7.

⇒ These two factors are 3 and -10.

Then, write the equation as a product of two binomials.

[tex]f(x)=(x+3)(x-10)[/tex]

2) Find the zeros

The zero product property states that any value, when multiplied by 0 will equal 0. Therefore, in this equation, either x+3 or x-10 must equal 0 for the function to equal 0:

x+3=0

x=-3

or

x-10=0

x=10

Therefore, the zeros of the function are -3 and 10.

I hope this helps!

+
deltamath.com/student/solve/13017914/trig Findside 1
watch help video
In ATUV, the measure of _V=90°, the measure of ZT=66°, and TU = 93 feet. Find
the length of VT to the nearest tenth of a foot.
U
93
660
T
V
X

Answers

Answer:

VT = 37.8 ft

Step-by-step explanation:

Here, we want to get the measure of VT

We need the diagram of the triangle here

We can get this in the attachment

From the diagram, we have it that the hypotenuse is the length UT since it faces the right angle

VT does not face the given angle , nor the right angle; this mean VT is the adjacent

Mathematically, the trigonometric ratio that connects the adjacent to the hypotenuse is the cosine

Thus;

cos 66 = VT/UT

cos 66 = VT/93

VT = 93 * cos 66

VT = 37.83

To the nearest tenth of a foot, VT = 37.8 ft

Which of the following represents 4 square root x3 in exponential form?

1) x^3/4

2) x^4/3

3) 4x^3

4) 3x^4

Answers

Answer:

3

Step-by-step explanation:

im in 8th grade this is what were doing right now

plz i need to findthe area of the octagon plzzzzzz help​

Answers

Answer:

Check pdf

Step-by-step explanation:

{(2,0), (4,0), (6,0), (8,0)}

Answers

Answer:

whats the question

Step-by-step explanation:

Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality.

Answers

Answer:

1. No

2. No

3. Yes

4. Yes

Step-by-step explanation:

Any time you multiply/divide both sides with a negative the inequality will be reversed!

Answer:

c and d

Step-by-step explanation:

if the force of an object is 100N and the mass is 25Kg, what is the acceleration?

Answers

Answer:

4ms-²

Step-by-step explanation:

Applied Force=100N

Mass of the object=25Kg

Let the acceleration be 'a'.

Force=Mass*Acceleration

100=25*a

100/25=a

4=a

a line has a slope of -2 and includes the points (-1,r) and (2,4). write the value of r in the empty box

Answers

Answer:

r= 10

Step-by-step explanation:

Karl used his credit card to buy a 90-inch HD flat-screen TV for $2,600. The credit card company charges 28% compound interest per year. If Karl made no payments for 2 years, how much would he owe the credit card company?

thx in advance ​

Answers

Answer:

6000 is the answer lol I know it is cause I am in math

This equation shows how the cost of a photography session is related to its duration in hours.

c = 20d

The variable d represents the duration of the session in hours, and the variable c represents the cost. What is the duration, in hours, of a photography session that costs $20?

Answers

Answer:

1 hour

Step-by-step explanation:

c= 20d

here, c=$20

$20=20d

or, d= 1 hr

What is the value of |-8|

Answers

Answer: 8

Step-by-step explanation:

The two parallel bars mean absolute value meaning the positive value of that number. The positive value of -8 is 8. Note that positive number in an absolute value bars reamin the same.

More examples: |9|=9

Have a nice day! :D

look at this table
is this relation a function​

Answers

Answer:

i believe function !

Step-by-step explanation:

cuz im smart

Answer:

No

Step-by-step explanation:

The tables shows two inputs that are the same value which is not possible in a function

-6x²-11x-4 which equatin is equivalent

Answers

-(2x+1)(3x+4)
It’s just a guess??
It’s actually (-3x-4)(2x+1)

Andrew has $90 in a savings account. The interest rate is 10% per year and is not compounded. How much interest
will he earn in 2 years?

Answers

Answer:

He will earn 18 dollars in interest.

Step-by-step explanation:

I got this answer form multiplying 10% of 90 by 2, which 10% of 90 is 9, and 9 times 2 is 18, so that's how I got my answer. Please comment on this answer to tell me if it's wrong. I hope it is right and that this really helps you. Have a great day!

Chloe is planning an event and purchasing floral arrangements. At Petals Plus, the arrangements cost $33.05 each, and the store charges $64.00 for delivery of the flowers to the event site. At Blooms, the arrangements cost $26.04 each, and the store charges $105.00 for delivery of the flowers to the event site. How many arrangements should she purchase from Blooms in order to get a better value? A. 6 B. 5 C. 4 D. 1

Answers

Answer:

A. 6

Step-by-step explanation:

Petals Plus = 33.05x + 64

Blooms = 26.04x + 105

Equate

33.05x + 64 = 26.04x + 105

33.05x - 26.04x = 105 - 64

7.01x = 41

x = 41 / 7.01

x = 5.85

She should purchase 6 arrangements from Blooms in order to get a better value

Check:

Petals Plus = 33.05x + 64

= 33.05(6) + 64

= 198.3 + 64

= 262.3

Blooms = 26.04x + 105

= 26.04(6) + 105

= 156.25 + 105

= 261.24

Petals Plus = 33.05x + 64

= 33.05(4) + 64

= 132.2 + 64

= 196.2

Blooms = 26.04x + 105

= 26.04(4) + 105

= 104.16 + 105

= 209.16

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