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Anna35 [415]
3 years ago
5

Solve for x. -2(16 - 4x) - 8 = 6(x + 2)

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
3 0
-32 + 8x - 8 = 6x + 12
8x - 40 = 6x + 12
8x = 6x + 12 + 40
8x = 6x + 52
8x - 6x = 52
2x = 52
x = 52/2
x = 26
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What is the slope of a line that is perpendicular to the graphed line?
Lemur [1.5K]

Answer:

2

Step-by-step explanation:

To find the slope of the graphed line, you take two points. I have chosen (0, 4) and (8, 0)

The formula of a slope is (y value of second point -y value of first point) divided by (x value of second point -x value of first point):

\frac{0-4}{8-0} =-\frac{1}{2}

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

The slope for a perpendicular line is 2.

6 0
3 years ago
Os
algol [13]

Answer:

\boxed{\sf{4}}}

Step-by-step explanation:

Use a slope form.

<u>Slope:</u>

\sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run}  }

y₂ = (17)

y₁ = (1)

x₂ = (2)

x₁ = (-2)

Then, rewrite the problem.

Solve.

\sf{\dfrac{17-1}{2-(-2)}=\dfrac{16}{4}=\dfrac{16\div4}{4\div4}=\dfrac{4}{1}=\boxed{\sf{4}    }

Therefore, the slope is 4, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

5 0
2 years ago
The cash drawer of the market contains $227. There are six more $5 bills than $10 bills. The number of $1 bills is two more than
k0ka [10]

Answer:

There are 122 one dollar bills, 11 five dollar bills and 5 ten dollar bills.

Step-by-step explanation:

There are bills of one dollar, five dollars and ten dollars on the cash drawer, therefore the sum of all of them multiplied by their respective values must be equal to the total amount of money on the drawer. We will call the number of one dollar bills, five dollar bills and ten dollar bills, respectively "x","y" and "z", therefore we can create the following expression:

x + 5*y + 10*z = 227

We know that there are six more 5 dollar bills than 10 dollar bills and that the number of 1 dollar bills is two more than 24 times the number of 10 dollar bills, therefore:

y = z + 6\\x = 2 + 24*z

Applying these values on the first equation, we have:

2 + 24*z + 5*(z + 6) + 10*z = 227\\2 + 24*z + 5*z + 30 + 10*z = 227\\39*z + 32 = 227\\39*z = 227 - 32\\39*z = 195\\z = \frac{195}{39}\\z = 5

Applying z to the formulas of y and x, we have:

y = 5 + 6 = 11\\x = 2 + 24*5 = 122

There are 122 one dollar bills, 11 five dollar bills and 5 ten dollar bills.

4 0
3 years ago
Use the midpoint formula to find the midpoint between the following 2 points<br> R(6,-6) and G (4,2)
Likurg_2 [28]

Answer:

(5,-2)

Step-by-step explanation:

6+4=10

10/2=5

-6+2=-4

-4/2=-2

3 0
3 years ago
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