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3 years ago

10 (2y + 2) - y = 2 (8y - 8)

Mathematics

2 answers:

Ede4ka [16]3 years ago

8 0

Answer:

10(2y+2)= 10.2y+10.2

20y+20-y

2(8y-8)=2.8y-2.8

20y+20-y=16y-16

20y-16y-y=-20-16

3y=-36

36/3y=?

y=-12

Step-by-step explanation:

Masteriza [31]3 years ago

5 0

Answer to 10 (2y + 2) - y = 2 (8y - 8)

is y=-12

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What is the perimeter of the trapezoid with vertices Q(8, 8), R(14, 16), S(20, 16), and T(22, 8)? Round to the nearest hundredth

EleoNora [17]

Check the picture below.

so... you can pretty much see how long RS and QT are, you can just count the units off the grid.

now, let's find QR's length

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&Q&(~ 8 &,& 8~) 
% (c,d)
&R&(~ 14 &,& 16~)
\end{array}~~ 
% distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
QR=\sqrt{(14-8)^2+(16-8)^2}\implies QR=\sqrt{6^2+8^2}
\\\\\\
QR=\sqrt{36+64}\implies QR=\sqrt{100}\implies QR=10$

and let's also find the length for ST

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&S&(~ 20 &,& 16~) 
% (c,d)
&T&(~ 22 &,& 8~)
\end{array}~ 
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
ST=\sqrt{(22-20)^2+(8-16)^2}\implies ST=\sqrt{2^2+(-8)^2}
\\\\\\
ST=\sqrt{4+64}\implies ST=\sqrt{68}\implies ST=\sqrt{4\cdot 17}
\\\\\\
ST=\sqrt{2^2\cdot 17}\implies ST=2\sqrt{17}$

so, add the lengths of all sides, and that's the perimeter of the trapezoid.

8 0

3 years ago

Read 2 more answers

Find the length of side x in simplest radical form with a rational denominator.

Leto [7]

<h3>Answer: $2\sqrt{5}$ </h3>

======================================================

Explanation:

Both legs are the same length, as indicated by the tickmark.

a = $\sqrt{10}$
b = $\sqrt{10}$
c = x

Use the pythagorean theorem to solve for x

$a^2+b^2 = c^2\\\\( \sqrt{10} )^2 + ( \sqrt{10} )^2 = x^2\\\\10 + 10 = x^2\\\\x^2 = 20\\\\x = \sqrt{20}\\\\x = \sqrt{4*5}\\\\x = \sqrt{4}*\sqrt{5}\\\\x = 2\sqrt{5}\\\\$

7 0

2 years ago

Please how to answer.

vivado [14]

Answer:

Blue Rectangle: 135 mm²

Blue Triangle: 45 mm²

Not sure if you need this but the Total Square: 225 mm²

Step-by-step explanation:

Area of a rectangle: length x width

Area of a triangle: $\frac{1}{2}$ x base x height

First find the area of the blue rectangle.

Length = 15 mm

Width = 9 mm

Area = 135 mm²

Now find the area of the blue triangle:

Base = 6 mm (because the bottom is 15 total and you subtract the 9)

Height = 15 mm

Area = 45 mm²

Hope it helps!

6 0

1 year ago

Lax varies directly with y. When x=32,y=8. If y=44, what does x equal?

Irina-Kira [14]

X varies directly with y means x=ky

k is the constant of variation

given when x=32 and y=8
32=8k
divide by 8
4=k

so
x=4y

when y=44

x=4(44)
x=176

x=176 when y=44

8 0

2 years ago

Find the mixed number equivalent to the im proper fraction 22/6

Naddik [55]

Answer:

$3\frac{2}{3}$

Step-by-step explanation:

Given the following question:

$\frac{22}{6}$

In order to convert a mixed number into an improper fraction we have to divide the numerator (in this case; 22) by the denominator (in this case; 6) to find your answer.

$\frac{22}{6}$
$\frac{22}{6} \div2=\frac{11}{3}$
$\frac{11}{3}=11\div3=3\frac{2}{3}$
$=3\frac{2}{3}$

Let three represent how many times 3 goes into 11, let 2 represent the remainder while of course keeping the denominator the same. Your answer is "3 2/3."

Hope this helps.

6 0

2 years ago