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3 years ago

Solve for x. 3x/6 + 2 = 8 x = 3 x = 12 x = 24

1 answer:

8 0

$\frac{3x}{6} + 2 = 8 \\ \frac{3x}{6} = 8 - 2 \\ \frac{3x}{6} = 6 \\ 3x = 36 \\ x = 36 \div 3 \\ x = 12$
So; the answer is: 12

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What is the approximate perimeter of the parallelogram with vertices at 2, 4. 4, 1. -2, -2, and -4, 1

Gennadij [26K]

Answer:

The approximate perimeter of the parallelogram is 20.63 units

(or 21 units if rounded up completely)

Step-by-step explanation:

In principle we know that the Perimeter of a Parallelogram is given by:

$\Pi=2(w+l)$ Eqn. (1)

where $\Pi$ is the Perimeter, $w$ is the width and $l$ is the length of the parallelogram. We also know that since we have a Parallelogram rectangle it means that the two widths will be of equal size and the two lengths will also be of equal size.

Now lets call each point as:

$A(2,4)\\B(4,1)\\C(-2,-2)\\D(-4,1)$ Eqn. (2)

then we have a Parallelogram ABCD where AB and CD can be our widths and BD and DA can be the lengths (or vice versa).

Since we know the vertices, we can compute each side of the parallelogram (i.e. AB, BC, CD and DA) using the distance formula that in principle reads:

$|d|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ Eqn. (3)

Thus using the values from Eqn. (2) and the formula of Eqn. (3) for each side we have:

$|AB|=\sqrt{(1-4)^2+(4-2)^2}=\sqrt{13}\\\\|BC|=\sqrt{(-2-1)^2+(-2-4)^2}=3\sqrt{5}\\\\|CD|=\sqrt{(1-(-2))^2+(-4-(-2))^2} =\sqrt{13}\\\\|DA|=\sqrt{(1-4)^2+(-4-2)^2} =3\sqrt{5}$

Which proves that since $|AB|=|CD|$ and $|BC|=|DA|$ our calculations are correct and ABCD is in fact a parallelogram. So now we have all sides, and recalling Eqn. (1) and plugging in our values (where we can say $w=|AB|=|CD|$ and $l=|BC|=|DA|$ we have:

$\Pi=2(\sqrt{13}+3\sqrt{5})\\\Pi=20.627$ units

which can be rounded up as ≅ $20.63$ units or ≅ $21$ .

6 0

4 years ago

Simplify the expression by combining like terms. 23+6c+8d−7d−6

fenix001 [56]

Answer:

17 + 6c +d

Step-by-step explanation:

To simplify the expression, we need to combine like terms

23+6c+8d−7d−6

I like to put like terms next to each other

23-6+6c+8d−7d

17 + 6c +d

5 0

3 years ago

Read 2 more answers

Truckers have to travel hundreds of miles to ensure food is transported. How much would 150 gallons of diesel cost March 20th an

zysi [14]

Answer:

idk lol but is this markel?

Step-by-step explanation:

7 0

3 years ago

Mrs. Johnson bought 6 pizzas. She cut them into many equal pieces for students in her class. Each piece was 3/10 of a whole pizz

azamat

There is 20 students in her class.

Ex.
3/10= size of slice; you can get 3 slices from one pizza.
There are 6 pizzas..... 3x6=18; there will be a remained of 1/10 from each pizza because 3/10 is not an even number. Now u would have (6) 1/10's.... So 1/10+1/10+1/10= 3/10 and 1/10+1/10+1/10=3/10..... That makes two more slices for two more students...... 18+2=20 slices for 20 kids in the class! :-)

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4 years ago

Algebra 2 please help

elena-14-01-66 [18.8K]

Answer:

4th option

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= $\sqrt{16x^4}$ - (3x² - 3x - 5)

= 4x² - 3x² + 3x + 5 ← collect like terms

= x² + 3x + 5

4 0

3 years ago