A line includes the points (3, 7) and (2, 2). What is its equation in slope-intercept form?

Answer:

A, C, E

Step-by-step explanation:

Welcome :)

Answer:

16/5

Step-by-step explanation:

-2+3=-7y+19

-2+7y+3=19

5y+3=19

5y=19-3

5y=16

y=16/5

Answer:

Standard Form           Equivalent Form            Extreme Values

y=x^2-6x+17                   (x-3)^2+8                        (3,8)

y=x^2+8x+21                  (x+4)^2+5                        (-4,5)

y=x^2-16x+60                 (x-8)^2-4                         (8,-4)

Step-by-step explanation:

1) Standard form:

y=x^2-6x+17

Equivalent Form:

Can be found using completing the square method.

[tex]y=x^2-6x+17\\y=x^2-2(x)(3)+(3)^2-(3)^2+17\\y=(x-3)^2-9+17\\y=(x-3)^2+8[/tex]

So, Equivalent form is: (x-3)^2+8

Extreme value:

Extreme values are basically the minimum and maximum value of the function.

Minimum Value will be found by finding derivative of the function:

The derivate is: 2x-6

Now, put the derivate equal to zero: 2x-6 = 0

[tex]2x=6\\x=6/3 \\x=3[/tex]

Maximum value can be found by putting minimum value in the given function:

Put x = 3 and solve:

[tex](3)^2-6(3)+17\\9-18+17\\9-1\\=8\\[/tex]

So, the extreme values is: (3,8)

2) Standard form:

y=x^2+8x+21

Equivalent Form:

Can be found using completing the square method.

[tex]y=x^2+8x+21\\y=x^2+2(x)(4)+(4)^2-(4)^2+21\\y=(x+4)^2-16+21\\y=(x+4)^2+5[/tex]

So, Equivalent form is: (x+4)^2+5

Extreme value:

Extreme values are basically the minimum and maximum value of the function.

Minimum Value will be found by finding derivative of the function:

The derivate of x^2+8x+21 is: 2x+8

Now, put the derivate equal to zero:

[tex]2x+8 = 0\\2x=-8\\x=-8/2 \\x=-4[/tex]

So, minimum value is: -4

Maximum value can be found by putting minimum value in the given function:

Put x = -4 and solve:

[tex]x^2+8x+21\\=(-4)^2+8(-4)+21\\=16-32+21\\=5[/tex]

So, Maximum value is: 5

So, the extreme values is: (-4,5)

3) Standard form:

y=x^2-16x+60

Equivalent Form:

Can be found using completing the square method.

[tex]y=x^2-16x+60\\y=x^2-2(x)(8)+(8)^2-(8)^2+60\\y=(x-8)^2-64+60\\y=(x-8)^2-4[/tex]

So, Equivalent form is: (x-8)^2-4

Extreme value:

Extreme values are basically the minimum and maximum value of the function.

Minimum Value will be found by finding derivative of the function:

The derivate of x^2-16x+60 is: 2x-16

Now, put the derivate equal to zero:

[tex]2x-16 = 0\\2x=16\\x=16/2 \\x=8[/tex]

So, minimum value is: 8

Maximum value can be found by putting minimum value in the given function:

Put x = 8 and solve:

[tex]x^2-16x+60\\=(8)^2-16(8)+60\\=64-128+60\\=-4[/tex]

So, Maximum value is: -4

So, the extreme values is: (8,-4)

Answer:

the dude above me i right i got i right on the test in edmentum

Step-by-step explanation:

Answer: oooo those seem like a good deal

Step-by-step explanation:

Answer:

This is fairly simple, the answer is 14.

Step-by-step explanation:

To reach this answer, you need to do order of operations. so First get rid of the 4 by doing inverse operation 18-4=j+4-4, which gets you to 14=J, thus your answer.

Answer:

Step-by-step explanation:

Using pythagoras theorem

AB²+BD²=AD²

5²+BD²=10²

25+BD²=100

BD²=100-25

BD²=75

BD=√75

BD=8.66

For triangle BDC,

Using pythagoras theorem

x²=DC²+BD²

x²=4²+75

x²= 16+75

x²=91

x=9.54

Answer:

3

Step-by-step explanation:

3is tha answer of pair of shoes..

am i rght

Answer:

3

Step-by-step explanation:

3 is right answer because it is largest pair of number

Answer:

11g + 19

Hope this helps

Step-by-step explanation:

Answer:

It can be also written as  11g+19.

Step-by-step explanation:

First, you would add the numbers with the 'g'

11g+7+12

then you would add the regular numbers.

11g+19

Answer:

2sqrt5

Step-by-step explanation:

We know that the shortest distance would be with drawing a perpendicular line through BC and A.

BC is y = -2x+1

Therefore a perpendicular line should have slope 1/2

y = 1/2x + b

-3 = 1/2*-3 + b

b = -3/2

y = -2x+1

y = 1/2x - 3/2

-2x+1 = 1/2x - 3/2

-4x+2 = x - 3

5 = 5x

x = 1

y = 1

now of course the graph shows that already, but we're just proving that again

The x-difference is 4, the y difference is 2, so 16+4 = 18, sqrt20 = 2sqrt5

Answer:

Solution given:

AB=

[tex]AB = \sqrt{( - 3 +1 {)}^{2} + ( - 3 - 3 {)}^{2} } = 6.32units[/tex]

[tex]AC= \sqrt{( - 3 - 1) ^{2} + ( - 3 + 1) {}^{2} } = 4.5[/tex]units

[tex]AD= \sqrt{( - 3 - 0) {}^{2} + ( - 3 - 1) {}^{2} } = 5units[/tex]

so shortest distance=AC=4.5units

Answer:

20.8

Step-by-step explanation:

The first step you need to do is to subtract 11:

52.6 - 11 = 41.6

The second step is to divide it by 2:

41.6 / 2 = 20.8

Mark was thinking of 20.8

Answer:

the original number is 20.8  

Step-by-step explanation:

because  2x  +  11  = 52.6

2x = 41.6  -->x = 20.8

Answer:

Hey!

Step-by-step explanation:

We need to know all of the info on nadia, can you report this question with all the info?

Answer:

-6.66666666667

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

[tex]\frac{-5}{1} -\frac{5}{3} =\frac{-20}{3}[/tex]

Answer:

yes because of a postulate or a theorem

Step-by-step explanation:

Replace x with a couple of numbers, solve for Y them mark those points on the graph and connect with a line.

See picture:

Answer:

The answer is A) x equals 3

Answer:

12

Step-by-step explanation

Answer:

x = 18

Step-by-step explanation:

Since both right triangles are similar, therefore:

[tex] \frac{2x - 6}{20} = \frac{39}{x + 8} [/tex]

Cross multiply

[tex] (2x - 6)(x + 8) = 39*20 [/tex]

[tex] 2x(x + 8) -6(x + 8) = 780 [/tex]

[tex] 2x^2 + 16x - 6x - 48 = 780 [/tex]

[tex] 2x^2 + 10x - 48 = 780 [/tex]

Subtract 780 from both sides

[tex] 2x^2 + 10x - 48 - 780 = 0 [/tex]

[tex] 2x^2 + 10x - 828 = 0 [/tex]

[tex] 2x^2 + 46x - 36x - 828 = 0 [/tex]

[tex] 2x(x + 23) - 36(x + 23) = 0 [/tex]

[tex] (x + 23)(2x - 36) = 0 [/tex]

x + 23 = 0

x = -23

Or

2x - 36 = 0

2x = 36

x = 18

Answer:

No.

Step-by-step explanation:

If you substitute x = 2 and y = 3 into the equation, you get 3 = 2 which is not true.

Answer:

$2,472 ; 38.40 ; $3816

Step-by-step explanation:

Given the equation to represent Gloria's cost of painting :

T = $38.40c + $2,472.00 ;

T = total cost ; c = number of canvas' Gloria purchased

General form of a slope-intercept equation :

y = mx + c

m = gradient ; c = intercept

Cost of brushes and paint corresponds to the intercept of the equation : since she has already gotten them on ground.

Hence, Cost of brushes and paint is $2472

B.) cost of each canvas is denoted by the slope of the model = $38.40

C.) if number of painting made = 35

Number of canvas, c = 35

Total cost :

T = 38.40(35) + 2,472.00

Total cost = $3816

Answer:

Sunni Muslims accept all four leaders, including Abu Bakr and Ali, as the rightful successors of Muhammad. Shi'a Muslims, also called 'the party of Ali', believe that Muhammad chose Ali as his successor rather than having a bloodline successor.

Imamate is the Shi'a belief that all modern imams should be spiritual descendants of the Prophet Muhammad. Shi’a Muslims believe that imams protect the religion and help to guide Muslims along the right path. Today, Shi'a Muslim communities are led by imams, who are seen as having been chosen by God. Shi’a Muslims believe that imams are exemplary individuals who obey all teachings. Shi’a Muslims believe that imams are inspired by God, are without sin and are infallible, which means that they can interpret the teachings of the Qur’an without making any errors.

Today, Shi’a Muslim communities are led by imams, who are seen as having been chosen by God. Imams should be exemplary individuals who obey all teachings.

Origins of Imamate

After the Prophet Muhammad died, the Muslim community had to choose a successor. Abu Bakr, who was Muhammad’s father-in-law and closest friend, became the leader of the Sunni Muslim community.

Sunni Muslims, who make up around 90 per cent of the global Muslim population, agree that the rightful successor to Muhammad was Abu Bakr, Muhammad’s father-in-law. They recognise two further leaders who came after Abu Bakr. They then recognise a fourth leader, Ali (Muhammad’s cousin). Sunni Muslims accept all four leaders, including Abu Bakr and Ali, as the rightful successors of Muhammad.

Shi’a Muslims, also called ‘the party of Ali’, believe that Muhammad chose Ali as his successor rather than having a bloodline successor. After Ali’s death, Shi’a Muslims were led by twelve imams, whom they believe were spiritual successors to the Prophet Muhammad rather than having any family connection to him. This was the beginning of the Imamate. Shi’a Muslims make up around 10 per cent of the global Muslim population.

Hope this helps..!

Step-by-step explanation:

Answer:

x = -8

<XCE = 30

Step-by-step explanation:

Remark

In any question like this, there are 8 possible answers. Of the 8, 4 are acute angles and 4 are obtuse. So any pair are either equal to each other, or they are supplementary. In this case the two given angles are equal.

We have a little bit of both in this question.

Solution

3x + 174 = - 7x + 94                  Alternate exterior angles. Add 7x to both sides.

3x+7x +174 = 94                       Combine

10x + 174 = 94                          Subtract 174 from both sides

10x = 94 - 174

10x = - 80                                 Divide by 10

x = - 80/10

x = - 8

===================

Check

3x + 174 = -24 + 174 = 150

-7x + 94 = -7*-8 + 94

-7x + 94 = 56 + 94 = 150

<XCE

<XCE = 180 - (3x + 174)

<XCE = 180 - (-24 + 174)

<XCE = 180 - (150)

<XCE = 30

Answer:

A b or c

Step-by-step explanation:

Easy shahhshhshs free points hehe

Answer:

$200

Step-by-step explanation

24/0.12

=200

Sorry if its wrong :(

Answer:

reset the dog

Step-by-step explanation:

Answer:

Put it down, its probably autistic. Pls ark brainliest for the good answer! :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

a = -2, b = -3, c = 2

Step-by-step explanation:

We have the following three equations.

ab = 6

ac = -4

bc = -6

Multiply equation 2 and 3, we get

abc^2=24

Dividing it by the first equation, we get

c^2=4

c=2 or -2 (rejected since c is a positive integer)

We can then substitute c=2 into the equations, and find out that a = -2 and b = -3.

Answer:

The triangle is right angled

Step-by-step explanation:

Explanation:

As the largest side is  

15  yards and smaller sides are  9  yards and  12  yards

from Pythagoras theorem, if the triangle is right angled square of largest side should be equal to sum of the squares of smaller two sides.

Answer:

no its not

Step-by-step explanation:

i did the same question