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3 years ago

Complete each ordered pair so that it is a solution of the given linear equation. x-2y=2; ( ,-4),(4, )

Mathematics

1 answer:

Rainbow [258]3 years ago

3 0

X-2(-4)=2
X+8=2
-8. -8
X=-6. (-6,-4)

4-2y=2
-4. -4

-2y=-2
Divide both sides by-2
Y=1. (4,1)

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Use the order of operations to simplify the expression.<br> 4[3+3(5-1)]<br> What is the answer?

Nitella [24]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{60}}}}}$

Step-by-step explanation:

Using PEMDAS rule

Parentheses, Exponents , Multiplication, Division, Addition, Subtraction

$\sf{4 [ 3 + 3(5 - 1) ]}$

Subtract 1 from 5

$\longrightarrow{ \sf{4 [3 + 3 \times 4 ]}}$

Multiply the numbers : 3 and 4

$\longrightarrow{ \sf{4 [ 3 + 12 ]}}$

Add the numbers : 3 and 12

$\longrightarrow{ \sf{4 \times 15}}$

Multiply the numbers : 4 and 15

$\longrightarrow{ \sf{60}}$

Hope I helped!

Best regards! :D

3 0

3 years ago

Fill the 100-mL graduated cylinder with 76.0 mL of water. What is the volume

mojhsa [17]

The volume of the water in the 100-mL graduated cylinder is 76.0 mL .

The volume of water in the 50-mL graduated cylinder is 38.5 mL.

<h3>What is the volume of the water?</h3>

Water is already measured in terms of the volume that it occupies. This means that water that has a measurement of 76.0 mL will have a volume of 76.0 mL.

In the same vein, water that has a measurement of 38.5 mL will also have a volume of 38.5 mL.

The graduated cylinder is used to measure the volume of water but there is not need as we already know the water's volume.

Find out more on the volume of water at brainly.com/question/17687666

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3 0

2 years ago

What is the value of the expression 4x - y when x = 3 and y = 1

Nastasia [14]

$12 - 1 = 11$

6 0

3 years ago

Read 2 more answers

Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2h, and Car B traveled the distan

mote1985 [20]

Let the speed of car B be x.
Car B is faster than car A 15mph so the speed of car A would be: x-15.
From the problem, we could come up with an equation:
$2(x - 15) = 1.5x \\ x = 60$
So car B was traveling at 60mph

4 0

3 years ago

ABCD is a square. The length of each side of the square ABCD is units, and the length of its diagonal is about units.

pashok25 [27]

Answer:

19.8

Step-by-step explanation:

As per the diagram the solution of the length of side AB, we will use Pythagoras theorem on the right triangle. The base of the AB is the two right triangles.

Now, the first right triangle with a hypotenuse which is 13 and height which is 12, and we will assume x be the base, Now, we will use the hypotenuse: -

$13^2 = 12^2 + x^2\\\\169 = 144 + x^2\\\\x^2 = 169 - 144\\\\x^2 = 25x = \sqrt{25}$

= 5

Now, for the second right triangle with a hypotenuse which is 15 and height which is 12, and we will assume y be the base, so we will use the hypotenuse:-

$15^2 = 12^2 + x^2\\\\225 = 144 + x^2\\\\x^2 = 225 - 144\\\\x^2 = 81x\\\\= \sqrt{81}$

= 9

After solving x and y we will get the length of AB which is

= x + y

= 9 + 5

= 14 unit

So, for a square, all the sides are the same, so the length of each side of the square ABCD

14 units

Now, In triangle ADC, the hypotenuse = AC, AD = DC = 14 unit.

Using Pythagoras:

$AC^2 = AD^2 + DC^2\\\\AC^2 = 14^2 + 14^2AC^2 = 196 + 196 \\\\= 392\\\\AC = \sqrt{392}$

= 19.8

6 0

4 years ago