Step 1: y minus (negative 2) = three-fourths (x minus 3). Step 2: y + 2 = three-fourths x minus StartFraction 9 Over 4 EndFraction. Step 3: y + 2 + 2 = three-fourths x minus StartFraction 9 Over 4 EndFraction + StartFraction 8 Over 4 EndFraction. Step 4: y = three-fourths x minus one-fourth.
A student used the point-slope form to write the equation of a line that has a slope of Three-fourths and passes through the point (3, –2). The student’s work is shown to the left.


Examine the steps to determine whether the student made an error.

The student made

Answer:

8/10

Step-by-step explanation:

add the numerator but keep the denominators the same

you could also simplify to 4/5

Answer:

2/10 + 6/10

= 8/10

=4/5

Therefore the answer is 4/5

Answer:

y=2/3x-2

Step-by-step explanation:

A linear equation is in the form of y=mx+b

You need to find the slope and y-intercept.

The slope is 2/3  Up 2, over 3 to the right.

The y-intercept is (0,-2)

So the equation would be, y=2/3x-2

Hope this helps :)

Answer: y=2x-2

Step-by-step explanation: First you plot those two points and make a line, then find the rest below. Slope formula is y=mx+b. M is the slope, rise over run, which is 2, and b is the y-intercept, where it meets the y-axis, which is -2.

Answer:

∠HDC ≅ ∠HDE, AB ≅ BC, HC ≅ HE

Step-by-step explanation:

yup

The circumcenter describes the point of intersection of three perpendicular bisectors. Any point on the perpendicular bisector is equidistant from the endpoint of the segment. Hence, the true statements are :

The intersection point H is equidistant from the vertices of the triangle A, C and E

Therefore, HA ≈ HC ≈ HE ; Hence, the expression ;

B is the midpoint of the line AC ; Hence, using the midpoint rule ; AB = BC

Therefore, only the three statements are true.

Learn more :https://brainly.com/question/16257505

Step-by-step explanation:

9x+18 < 9-15

1)9-15= -6

9x+18 < -6

9x+18= -5

9x= (-5) - 18

9x= -23

x= 23/9=2 5/9

X=2,55556

Answer:

x/10 + x/4 = 21  /*40

4x + 10x = 840

14x = 840

x = 60 = total number of points the team scored

Answer:

y = -5/4x + 5

Step-by-step explanation:

If you use rise/run it rises down 5 and runs to the right 4, therefore your slope is -5/4x and for your Y-intercept its 5 because (0,5) is already on the Y-axis, so your answer is y = -5/4x + 5

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ m=\frac{0-5}{4-0} \\m=\frac{-5}{4} \\m=-\frac{5}{4}[/tex]

Therefore the slope is m = -5/4

Find the equation

Let [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

Substitute m = -5/4 in the equation,

[tex]y=-\frac{5}{4}x+b[/tex]

Substitute any ordered pairs that are given. I'll use (4,0) instead.

Substitute y = 0 and x = 4

[tex]0=-\frac{5}{4}(4)+b\\ 0=-5+b\\5=b\\[/tex]

Thus, the y-intercept is 5 (b is 5)

Therefore, the equation is [tex]y=-\frac{5}{4}x+5[/tex] #

Answer:

x=-2

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

Hope this helps you Please give me the brainless

Cost of 15 cookies = $9

Cost of one cookie :-

[tex] = \frac{9}{15} [/tex]

[tex] = 0.6[/tex]

Therefore , the cost of one cookie is $ 0.6 .

Answer:

the answer is 144 feet

Step-by-step explanation:

to find the how long each sides of the square is divide 48 by 4 (because that's how many sides there are on a square). by doing that you get 12

to find the area of the square you do A= lw which in this case it would look something like this:

A= 12(12) you use 12 twice because square sides are always equal

then you multiply which gives you A= 144

Answer:

94.5 minutes or 1 hour and 34.5 minutes

Step-by-step explanation: If it takes you 7 minutes for 2 math problems then that means it takes you 3.5 minutes for one problem. Then you multiply it by 27 and you get 94.5 minutes you can convert it into 1 hour and 34.5 minutes if you want.

Answer:

  x = 21

Step-by-step explanation:

The angle T is an exterior angle to the ∆RST, so will be equal to the sum of the remote interior angles:

  T = 4x° +2x° = 6x°

T is also a same-side exterior angle with the one marked 54°, so is supplementary to that:

  T + 54° = 180°

  6x° + 54° = 180°

  x + 9 = 30 . . . . . . . . divide by 6

  x = 21 . . . . . . . . . . . . subtract 9

_____

Check

The triangle angles are ...

  4x = 84°

  2x = 42°

  unmarked = 54°

Their sum is 84° +42° +54° = 180° . . . as it should be.

Answer:

B

Step-by-step explanation:

it has to show (f+g)(x)

Answer:

Its B

Step-by-step explanation:

Edge 2020

Answer:

-15

Step-by-step explanation:

a = 17

b = 18

c = 19

Hi there !

a + b + c = 54

b = a + 1

c = a + 2

replace b ; c

a  + (a + 1) + (a + 2) = 54

3a = 54 - 3

3a = 51

a = 51 : 3

a = 17

b = 18

c = 19

Good luck !

Answer:

im gonna need more info

Step-by-step explanation:

The value of n makes this equation true is -16.

We do same operations on both the sides so that equality of both expressions doesn't get disturbed. Solving equations generally means finding the values of the variables used in it for which the considered equation is true.

Sometimes we can find such value, and sometimes it is not possible at all, or sometimes, there are infinite number of solutions.

WE have been given an expression as;

3n + 3/5 = 5n-1/9

Combine the like terms;

3n + 3/5 = 5n-1/9

3n - 5n = -3/5 -1/9

-2n = -27 - 5 / 45

n = -16

The value of n makes this equation true is -16.

Learn more about finding the solution here:

https://brainly.com/question/26254258

#SPJ2

Answer:

Option B.

Step-by-step explanation:

Let 'g' represent the number of gallons of cleaning solutions.

Let 'c' represent the number of cups of bleach.

From the question given above, we were told that:

To make 5 gallons of cleaning solution, 3 cups of bleach is mixed in with water.

This implies that number of gallons (g) of the cleaning solution is directly proportional to the number of cups (c) of the bleach mixed with water i.e

g ∝ c

g = Kc

K is the constant of proportionality.

Next, we shall determine the relationship between g and c as follow

g = 5

c = 3

K =?

g = Kc

5 = K × 3

Divide both side by 3

K = 5/3

g = Kc

K = 5/3

g = 5/3 c

Thus, the relationship between g and c is:

g = 5c / 3

Next, we shall make c the subject of the formula. This is illustrated below:

g = 5c / 3

Cross multiply

3g = 5c

Divide both side by c

c = 3g/5

Next, we shall determine c when g = 10, 15, and 20.

This is illustrated below:

g = 10

c =?

c = 3g/5

c = (3 × 10)/5 = 30/5 = 6

g = 15

c =?

c = 3g/5

c = (3 × 15)/5 = 45/5 = 9

g = 20

c =?

c = 3g/5

c = (3 × 20)/5 = 60/5 = 12

Summary:

Num. of gallon (g) >> Num. of cup (c)

5 >>>>>>>>>>>>>>>> 3

10 >>>>>>>>>>>>>>> 6

15 >>>>>>>>>>>>>>> 9

20 >>>>>>>>>>>>>>> 12

Therefore, option B gives the correct table.

Answer:

The dimensions of the garden are 22.5ft by 27.5ft

Step-by-step explanation:

Here, we want to calculate the dimensions of the garden.

let the length be x ft

we are told that the he wants the length to be 5 feet more than the width;

That means the width will be (x-5) ft

Mathematically;

Since the shape is rectangular, the perimeter will be 2( l + w)

Thus; 2(x + x-5) = 100

2(2x-5) = 100

divide both sides by 2

2x-5 = 50

2x = 50 + 5

2x = 55

x = 55/2

x = 27.5 ft

The width is thus; 27.5ft - 5ft = 22.5ft

the dimensions of the garden are 27.5 ft by 22.5 ft

Answer:

Step-by-step explanation:

The system of equation given is a simultaneous equation

7x + 2y = 24 ...... 1

2x + 1 = y ......... 2

Rearrange

7x + 2y = 24  .... *1

| 2x - y = -1 ..... * 2

Use elimination method

7x + 2y = 24

4x - 2y = -2

add

7x+4x = 24-2

11x = 22

x = 22/11

x = 2

Substitute x = 2 into 2

2x+1 = y

y 2(2)+1

y = 4+1

y = 5

Hence x = 2, y = 5

The system of equation is a simultaneous equation

Answer:

D. y=2/3x+4

Step-by-step explanation:

4 is the y-intercept, and the line goes up 2 on the y-axis for every 3 it goes up on the x-axis.

Answer:

W = (P-2L)/2

Step-by-step explanation:

Isolate W

P = 2L + 2W

subtract 2L from each side

P - 2L = 2W

divide each side by 2

(P-2L)/2 = W

Answer:

It will terminate according to the rules of math

Step-by-step explanation:

Answer:

Whoops that you didn't add the worksheet but thanks for the points anyways?

Step-by-step explanation:

Hope you have a good day though. :)

Answer:

get a better math teacher