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snow_tiger [21]
3 years ago
7

Given: 8-2y – 3y -9=-11 Prove: y = 2

Mathematics
1 answer:
astraxan [27]3 years ago
3 0
Step 1: group Y on left side
(-2 - 3)y = -5y

step 2: group constants on left side
8 - 9 = -1

step 3: form modified equation
-5y - 1 = 11

step 4: group constants
-5y - 1 + 1 = -11 + 1

step 5: cancel 1 on left side
-5y = -10

step 6: divide each side by -5
-5y/-5 = -10/-5

answer: y = 2
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Simply the variable expression below as much as possible. <br><br> 7x + (5.6) z
marta [7]

Answer:

7x + 5.6z

Step-by-step explanation:

To simplify any expression we use PEMDA ( order of operation)

Parenthesis

Exponents

Multiplication and division

Addition and subtraction

7x + (5.6) z

Here we have 5.6 inside the parenthesis

We multiply 5.6 with z

so it becomes 5.6z

7x + 5.6 z

Both terms 7x and 5.6z have different variable so they are not like terms

We cannot combine unlike terms, so we leave as it is

7x + 5.6z

3 0
4 years ago
The equation of a circle is x2 − 4x + y2 + 8y − 29 = 0. what are the center and radius of the circle? enter your answers in the
uranmaximum [27]
\text{The standard form of the circle:}\\\\(x-h)^2+(y-k)^2=r^2\\\\\text{h and k are the x and y coordinates of the circle}

\text{We have}\\\\x^2-4x+y^2+8y-29=0\\\\\text{use:(*)}(a\pm b)^2=a^2\pm2ab+b^2
x^2-2x\cdot2+y^2+2y\cdot4=29\ \ \ |+2^2\ \ |+4^2\\\\\underbrace{x^2-2x\cdot2+2^2}_{(*)}+\underbrace{y^2+2y\cdot4+4^2}_{(*)}=29+2^2+4^2\\\\(x-2)^2+(y+4)^2=49
\text{Answer: the center (2;-4), the radius}\ r=\sqrt{49}=7
3 0
3 years ago
Help please (20 points) will give brainliest
Korolek [52]

Answer:

see explanation

Step-by-step explanation:

1

\frac{2}{3} x - 4 = 20 ( multiply through by 3 to clear the fraction )

2x - 12 = 60 ( add 12 to both sides )

2x = 72 ( divide both sides by 2 )

x = 36

2

4 = \frac{-1+x}{2} ( multiply both sides by 2 to clear the fraction )

8 = - 1 + x ( add 1 to both sides )

9 = x

3

12(x + 9) = - 108 ( divide both sides by 12 )

x + 9 = - 9 ( subtract 9 from both sides )

x = - 18

4

5x + 14 = - 7 ( subtract 14 from both sides )

5x = - 21 ( divide both sides by 5 )

x = - \frac{21}{5} = - 4.2

8 0
2 years ago
To practice for a competition, Jack swam 740 meters in the pool each day for 3 weeks. How many kilometers did Jack swim in those
qwelly [4]

Answer:

10080.000

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6 0
3 years ago
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