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lara [203]
3 years ago
5

What’s the simplified form of -3+7–3r–12

Mathematics
1 answer:
VashaNatasha [74]3 years ago
5 0

Answer:

-3r-8

Step-by-step explanation:

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Find the equation of the line that contains the given point and the given slope. Write the equation in slope-intercept form.
stealth61 [152]

The slope-point form of a line:

y-y_0=m(x-x_0)

The slope-intercept form of a line:

y=mx+b

1.

m=6,\ (4,\ 1)\to x_0=4,\ y_0=1

Substitute

y-1=6(x-4)\qquad|\text{use distributive property}\\\\y-1=6x-24\qquad|\text{add 1 to both sides}\\\\\boxed{y=6x-23}

2.

m=-5,\ (6,\ -3)

Substitute

y-(-3)=-5(x-6)\qquad|\text{use distributive property}\\\\y+3=-5x+30\qquad|\text{subtract 5 from both sides}\\\\\boxed{y=-5x+24}

3.

m=-\dfrac{1}{2},\ (-8,\ 2)\\\\y-2=-\dfrac{1}{2}(x-(-8))\\\\y-2=-\dfrac{1}{2}(x+8)\\\\y-2=-\dfrac{1}{2}x-4\qquad|\text{add 2 to both sides}\\\\\boxed{y=-\dfrac{1}{2}x-2}

4.

m=0,\ (-7,\ -1)\\\\y-(-1)=0(x-(-7))\\\\y+1=0\qquad|\text{subtract 1 from both sides}\\\\\boxed{y=-1}

3 0
3 years ago
A bike lock has a 3 digit combination. Each character can be any digit from 3-8. The only restriction is that all 3 characters c
lesya [120]

Answer:

The number of possible combinations is 180

Step-by-step explanation:

The numbers to select from are 3-8

These are 6 numbers

Now, the restriction we have is that the 3 characters cannot be the same

For the first character, we have 6 choices;

For the second character, we have another 6 choices

For the last character, since it cannot be the same, we can only have 5 choices

So the possible number of choices will be;

6 * 6 * 5 = 189 combinations

7 0
3 years ago
An electronic store prices 3 dozen video games at a total of 1467 if each video game costs the same amount what m is the total c
PilotLPTM [1.2K]

Answer:4 dozens of video games would cost $1956

Step-by-step explanation:

An electronic store prices 3 dozen video games at a total of 1467. A dozen of video games is 12. Therefore, the total number of video games whose cost is 1467 is 12 × 3 = 36

if each video game costs the same amount, then the cost of one video game would be

1467/36 = $40.75

The total number of video games in 4 dozens of video game would be

4 × 12 = 48

Therefore, the total cost of 48 video games would be

48 × 40.75 = $1956

4 0
3 years ago
What is the value of X?<br><br> x=
Sever21 [200]

Answer:

x=12

Step-by-step explanation:

All of the sides are the same length.

5x-22=4x-10=3x+2

5x-22=4x-10

x=12

3 0
3 years ago
Can someone help me with this question it’s 7.55 x 4.5
Yuri [45]

Answer:

33.975

Step-by-step explanation:

4 0
3 years ago
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