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GrogVix [38]
3 years ago
11

I need help so someone plz give me the steps and answer and graph it so i can understand how to solve these types of problems ag

ain?
+ 6 = 4/5 ( + 3)

3a. Identify the slope of the equation.

3b. Identify the point used in the equation.

3c. Graph the equation.

Mathematics
2 answers:
Eddi Din [679]3 years ago
8 0
Y + 6 = 4/5( x + 3)
y + 6 = 4/5x + (3(4))/5

y + 6 = 4/5x + (12)/5
y + 6 = 4/5x + 12/5
y + 6 (-6) = 4/5x + 12/5 (-6)
y = 4/5x + 12/5 (- 30/5)


y = 4/5x - 3.6 ( y = mx + b formula)

4/5 = 0.8

y = 0.8x - 3.6

x = 1
y = 0.8(1) - 3.6
y = - 2.8

x = 2
y = 0.8(2) - 3.6
y = 1.6 - 3.6
y = -2

x = 3
y = 0.8(3) - 3.6
y = 2.4 - 3.6
y = - 1.2

x = 4
y = 0.8(4) - 3.6
y = 3.2 - 3.6
y =  - 0.4

x = 5
y = 0.8(5) - 3.6
y = 4 - 3.6
y = 0.4

etc.

graph  using the (x,y)

connect the dots

hope this helps

Ivanshal [37]3 years ago
8 0
3a. The slope is 4/5
Since the equation is in the form y-y1 = m(x-x1)
m = slope = 4/5

----------------------------------

3b. The point used is (-3,-6)
The equation y+6 = (4/5)(x+3) is the same as y-(-6) = (4/5)(x-(-3))
matching that up to y-y1 = m(x-x1) and we see (x1,y1) = (-3,-6)

----------------------------------

3c. The graph is shown in the attached images
We already have one point (-3,-6). To get another point, we use the slope. 
Slope = rise/run = 4/5
rise = 4
run = 5
Start at (-3,-6). Move up 4 units and then to the right 5 units to get to the next point (2, -2). 
Plot the two points (-3,-6) and (2,-2). Then draw a straight line through them.

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Multiply the equation 2x+2y=8 by 3. Does the equation have the same solution set?
stepan [7]

Multiply the equation:

2x+2y=8 \mapsto 6x+6y=24

The solution set is the same, because multiplying both sides of an equation by a non-zero number doesn't change the solution set. In fact, if you rewrite the equation as

2x+2y-8=0

Multiplying this by 3 (or whatever number, for all it matters) gives

3(2x+2y-8)=0

Now, a product is zero if and only if at least one of the factor is zero. So, either 3=0 or 2x+2y-8=0

Since the first is clearly impossible, the second one must be true, which is the original equation.

3 0
4 years ago
4. Which ordered pair best represents a point
evablogger [386]
The third one i believe
8 0
3 years ago
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Determine if the triangles are congruent by HL, SAS, SSS, AAS, or
Tom [10]
Asa. the side is in the middle of the angles
3 0
3 years ago
Please help me!!!! with both​
loris [4]

Answer:

Part 11)  a_n=a_{n-1}-16, a_1=17

Part 2) 4+3i

Step-by-step explanation:

Part 11) write a recursive rule for the sequence

17,1,-15,-31,...

Let

a_1=17\\a_2=1\\a_3=-15\\a_4=-31

we know that

a_2-a_1=1-17=-16 ----> a_2=a_1-16

a_3-a_2=-15-1=-16 ----> a_3=a_2-16

a_4-a_3=-31-15=-16 ----> a_4=a_3-16

This is an arithmetic sequence

In an Arithmetic Sequence the difference between one term and the next is a constant, and this constant is called the common difference (d).

In this problem the common difference is equal to d=-16

therefore

A recursive rule for the sequence is

a_n=a_{n-1}+d

substitute the value of d

a_n=a_{n-1}-16

where

a_1=17

Part 12) What is the complex conjugate of 4-3i?

we know that

The <u><em>complex conjugate</em></u> of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign

so

we have that

the real part of the given number is 4 and the the imaginary part is -3i

so

the imaginary part equal in magnitude but opposite in sign is +3i

therefore

the complex conjugate of the given number is equal to

4+3i

6 0
3 years ago
Ill give u the crown thingy pls help
sesenic [268]

Answer:

y=18 x=15

Step-by-step explanation:

1.

multiplyboth sides by 3

2(x-6)=18

divide both sides by 2

x-6= 9

add 6 on both sides

x=15

2.

add 6 on both sides

2/3y= 12

multiply both sides by 3

2y=36

divide both sides by 2

y=18

7 0
3 years ago
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