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3 years ago

100 Points

Mathematics

2 answers:

Strike441 [17]3 years ago

8 0

Answer:

1) Consistent Independent

2) Coincident

3) Inconsistent

Step-by-step explanation:

atroni [7]3 years ago

7 0

$\left\{\begin{array}{ccc}ax+by=c\\ax+by=c\end{array}\right\Rightarrow\text{coincident}\\\\\left\{\begin{array}{ccc}ax+by=c\\ax+by=d\\c\neq d\end{array}\right\Rightarrow\text{inconsistent}\\\\\left\{\begin{array}{ccc}ax+by=c\\dx+ey=c\\a\neq d\ or\ b\neq e\end{array}\right\Rightarrow\text{consistent independent}$

$\left\{\begin{array}{ccc}x+5y=-2\\x+5y=4\end{array}\right\Rightarrow\boxed{\text{inconsistent}}\\--------------------------------\\\left\{\begin{array}{ccc}y=3x+4&\text{subtract 3x from both sides}\\-2x+y=4\end{array}\right\\\\\left\{\begin{array}{ccc}-3x+y=4\\-2x+y=4\end{array}\right\Rightarrow\boxed{\text{consistent independent}}\\-----------------------------\\\left\{\begin{array}{ccc}3x+y=4\\-6x-2y=-8&\text{divide both sides by (-2)}\end{array}\right\\$

$\left\{\begin{array}{ccc}3x+y=4\\3x+y=4\end{array}\right\Rightarrow\boxed{\text{coincident}}$

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Find the least positive angle measurement that is coterminal with 230°.

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To solve this problem you must apply the proccedure shown below:

1. You have the following angle given in the problen above:

-230°

2. Then, to f<span>ind the least positive angle measurement that is coterminal with -230°, you must add 360°, as below:

coterminal angle=-230°+360°
coterminal angle=130°

3. Therefore, as you can see, the answer is: 130°</span>

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3 years ago

A label wraps around soup can with a radius of 4.3 cm and a height of 6 cm. What is the lateral surface area of the label of the

Soloha48 [4]

Answer:

$52\pi \text{ cm}^2\approx 162.11\text{ cm}^2$

Step-by-step explanation:

We have been given that a label wraps around soup can with a radius of 4.3 cm and a height of 6 cm. We are asked to find the lateral surface area of the label of the soup can in square centimeters.

We will use lateral surface area of cylinder to solve our given problem as:

$LA=2\pi rh$ , where,

r = Radius of cylinder,

h = height of cylinder.

Upon substituting our given values in above formula, we will get:

$LA=2\pi \times\text{4.3 cm}\times \text{6 cm}$

$LA=51.6\pi \text{ cm}^2$

$LA=162.10618\text{ cm}^2$

Therefore, the lateral surface area of the label of the soup is approximately 162.11 square cm.

5 0

3 years ago

Read 2 more answers

Find the function rule for g(x). The function f(x) = x2 . The graph of g(x) is f(x) translated to the right 8 units and down 7 u

anygoal [31]

F(x)=x^2
Translated to the right 8 units: h(x)=(x-8)^2
and down 7 units: g(x)=(x-8)^2-7

Answer: Option D. g(x)=(x-8)^2-7

4 0

3 years ago

Please help...

Dmitrij [34]

Hey there!

First solve 2 x 4 . . .

2 x 4 = 8
This means each side of the shape is 8 inches.

To find area, multiply the two sides . . .

8 x 8 = 64 <---------

The area of the shape is 64 inches.

Hope this helps you.
Have a great day!

3 0

3 years ago

Read 2 more answers

This is so confusing...

Ainat [17]

It's less confusing if you only think about one of them at a time.

A).
Change the whole thing to all inches.
(Multiply the 8-ft by 12inches/foot.)
Then, when you have it all in one number of inches,
multiply that number of inches by (2.54 centimeters/inch).

B).
1 ounce is the weight of 28.35 grams (on Earth).
Multiply the 300g by (1 ounce / 28.35 g).

C).
Multiply the liters by (0.264 gallon/liter)
Multiply the km by (1 mile / 1.609 km).
Then you'll have a fraction that actually means
(a number of gallons) divided by (a number of miles).
Do the division, and you'll have the gallons per mile.

D).
The area of any rectangle is (length) times (width).
The area of this living room is (13-ft times 14-ft), and that's in square feet.
You know how much 1 square foot of carpet costs.
Just multiply that price by the number of square feet that you need.

6 0

3 years ago