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pashok25 [27]
3 years ago
15

If the equation y = 1/6(x + 12) were graphed in the xy-plane, which of the following statements would be true of the graphed lin

e?
A. It would be perpendicular to the graph of y = 1/6x + 3.

B. It would be parallel to the graph of 12y = 2x + 3.

C. It would have the same slope as the graph of x + 6y = 18.

D. It would have the same y‑intercept as the graph of y = 1/6x + 12.
Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
3 0
The answer would be B it would be parallel to the graph of 12y = 2x + 3
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Pedro is building a playground in the shape of a right triangle he wants to know the area of the playground to help him decide h
shusha [124]

Answer:

Amount of sand=Area of triangle(ABC)=1/2*AB*BC

Dimension of rectangle as  length=BC and breadth=AB

Step-by-step explanation:

Given:

Pedro building a playground in shape of right angled triangle.

To Find:

How much sand he need to buy

And if playground changed to rectangle what will be the dimensions.

Solution:

<em>Consider a ΔABC be the play ground vertex of playground,</em>

<em>And AB and BC be the sides making right angle.</em>

The sand required to fill ground will be the amount of are covered by the ABC triangle.

So,

Area Of triangle(ABC)=1/2* base* height

Here base will be BC and height =AB

Therefore Area of Triangle(ABC)=1/2*BC*AB

Depending on the lengths of base and height amount of sand will be decided.

Now,

<em>For Rectangle dimensions,</em>

<em>We know that if same sized triangles composes each other forms a rectangle</em>.

It requires two triangle to form one rectangle as follows

(Refer the attachment)

Same sized Triangle ACD is imposed on it  to from rectangle ABCD.

So dimension for rectangle will be same as the triangle

Dimension=length and breadth

i.e. length=base of triangle=BC

Breadth=Height of triangle=AB

i.e Breadth =AB.

5 0
3 years ago
Create a pattern with the rule. -4.
Bumek [7]
One pattern is 22, 18, 14, 10, 6, 2 hope this helps just keep subtracting 4. You can go from the highest number to the lowest. Thanks for asking!
7 0
3 years ago
Mr. Thomas spent $1,600 of his savings on a television set and 2/5 of the remainder on a refrigerator. He had 1/3 of his origina
Katena32 [7]

Answer:

The amount spent on the refrigerator is $ 800 .

Step-by-step explanation:

Given as :

The amount spent on television = $ 1600

Le The total amount in the account = $ A

so, The amount left in account after spent on television = $ A - $ 1600

The amount spent on refrigerator = \frac{2}{5} × ( A - 1600 )

The amount left in his saving account = \frac{1}{3} × A

Now, According to question

A - ( 1600 +  \frac{2}{5} × ( A - 1600 ) ) =  \frac{1}{3} × A

Or, A -  \frac{1}{3} × A = 1600 +   \frac{2}{5} × ( A - 1600 )

Or, \frac{2}{3} × A = 1600 + \frac{2}{5} × A - \frac{2}{5} × 1600

or,  \frac{2}{3} × A -  \frac{2}{5} × A = 1600 - 640

Or,  \frac{10 - 6 }{15} × A = 960

or,  \frac{4}{15} × A = 960

∴ A = \frac{960\times 15}{4}

I.e A = 3600

So, The amount in the saving account  is $3600

∵ , The amount spent on refrigerator = \frac{2}{5} × ( 3600 - 1600 )

Or,  The amount spent on refrigerator = \frac{2}{5} × 2000

I.e  The amount spent on refrigerator = $ 800

Hence The amount spent on the refrigerator is $ 800 . Answer

4 0
3 years ago
What is the answer too 2y-3=-5
bogdanovich [222]

2 − 3 = −5

First we need to Add 3 to both sides of the equation:

2 − 3 + 3 = −5 + 3

Then we simplify:

2 = −5 + 3

 2 = −2

Now we divide both sides of the equation by the same term:

2 / 2 = −2 / 2

Final answer: = −1

I hope this helps!

8 0
3 years ago
Read 2 more answers
Which statement MUST be true?
romanna [79]
The answer is C

The reason being these two sets of angles are opposite angles (also known as vertical angles) and opposite angles are always congruent.
7 0
3 years ago
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