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Setler [38]
2 years ago
6

Convert the following equation into slope intercept form. 3x + 21y = 21 Stars

Mathematics
1 answer:
RideAnS [48]2 years ago
6 0

Answer:

y = -(1/7)x + 1

Step-by-step explanation:

3x + 21y = 21 \\ 21y = 21 - 3x \\ y =  \frac{21 - 3x}{21}  \\ y = 1 -  \frac{1}{7} x \\ y =  -  \frac{1}{7} x + 1

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What two numbers multiply to give 36 but add up to -13
ra1l [238]
The numbers -9 and -4
Hope this helped :)
5 0
3 years ago
Read 2 more answers
Find the sum of each set of numbers, as well as the size n of each set of numbers (n = number of numbers in the set). Use these
guapka [62]

We have to add numbers without a calculator.

1) 25, 35, 19, 31

We can group them by the last digit, so they are easy to add:

25 + 35 = 20 + 30 + 5 +5 = 50 + 10 = 60

19 + 31 = 10 + 30 + 9 +1 = 40 + 10 = 50

Then, 60 + 50 = 110

numbers in the set n = 4

Sum = 110

2) 101, 73, 49, 27, 24, 36

We can group them again by the last digit (adding 10, like the previous example).

We can substract the last digit from one number and add it to the other one. The result will be the same, but they will become easier to add.

101 + 49 = 100+50 = 150

73 + 27 = 70 + 30 = 100

24 + 36 = 20 + 40 = 60

150 + 100 + 60 = 250 + 60 = 310

numbers in the set n = 6

Sum = 310

3) 25, 25, 25, 30, 30, 30, 32, 32, 32

In this case we have 3 times the same numbers, so we can add the three different numbers and then multiply the total by 3.

We can use the properties of the multiplication to simplify the product (we will use the distributive property)

25 + 30 + 32 = 27 + 30 + 30 = 87

87 * 3 = 80*3 + 7*3 = 240 + 21 = 261

numbers in the set n = 9

Sum = 261

8 0
1 year ago
Please help me with this
pantera1 [17]

Answer:

  • 8 3/4
  • 2, 3
  • 4 1/2, 11 1/4
  • 9 3/4, 16 1/4
  • Y/B = 2/3

Step-by-step explanation:

<h3>a)</h3>

The first line is simply the sum of the two given numbers.

  3 1/2 +5 1/4 = (3+5) +(2/4+1/4) = 8 3/4

__

To find values on the remaining lines, it is convenient to find the ratios of the numbers involved. The ratio of yellow to blue is ...

  Y/B = (3 1/2)/(5 1/4) = (7/2)/(21/4) = (7/2)(4/21) = 2/3

Then ...

  Y : B : total = 2 : 3 : 5

This tells you the numbers on the second line are ...

  Y = 2; B = 3

__

The value for B on the third line is the basic ratio number multiplied by (6 3/4)/3 = 2 1/4. Then the other two numbers are ...

  Y = 2(2 1/4) = 4 1/2

  total = 5(2 1/4) = 11 1/4

__

The value for Y on the fourth line is the basic ratio number multiplied by (6 1/2)/2 = 3 1/4. Then the other two numbers are ...

  B = 3(3 1/4) = 9 3/4

  total = 5(3 1/4) = 16 1/4

_____

<h3>b)</h3>

The equation is the one we used to find the values on the second line:

  Y/B = 2/3

7 0
2 years ago
Question Which sequence of transformations maps pre-image ABC to image A′B′C′ ? Triangle ABC was reflected over the y-axis and t
Stells [14]

The sequence of transformations was Triangle ABC was reflected over the y-axis and then translated 2 units up and 2 units to the right.

<h3>What is a transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Rigid transformation is the transformation that does not change the shape or size of a figure. Examples of rigid transformations are <em>translation, reflection and rotation</em>.

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

7 0
1 year ago
Please help quickly.Thanks :)
Klio2033 [76]
Multiply 2x-5y= -21 by 3 to make it 6x-15y= -63
Multiply 3x-3y= -18 by -5 to make it -15x+15y=90

This cancels the y’s out which leaves us with

6x=-63
&
-15x=90

x for 6x=-63 equals - 10.5 so x is - 10.5 and for -15x=90, x= -6

Then you plug in x into any equation you’d like to find y.

Let’s plug in - 10.5 into 6x... equation.

6(- 10.5)-15y=-63

63-15y= -63
-63 -63

-15y=0
y=0 and x= - 10.5. When you plug in this values it makes the equation true!

But the correct answer is the first one north. Sorry if I’m doing too much hahah


If I’m confusing here’s the right answer...


6x-15y= -63
-15x+15y=90


5 0
2 years ago
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