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3 years ago

Solve the following systems algebraically a. x+2y=17 x-y=2

1 answer:

5 0

There are 3 methods to solve this. elimination substitution and graphing but i am going to use the elimination method.
x+2y=17
 x-y =2
 0+3y =15 ( subtracted down to eliminate the x)( x-x=0, 2y-(-y)=3y, and 17-2=15)
3y=15 (divide both sides by 3 to solve for y)
y=5
substitute the y=5 in any of the above equations and solve for x
ie... ( meaning where you find y in the equation, u replace it with a 5)

it will be easier to solve for x in (x-y=2) so i will use that one.
x-(5)=2 ( add 5 on both sides to solve for x)
x=7

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Answer:

256, 1024, 4096.

Step-by-step explanation:

The rule is x*4.

--> 1*4 = 4.

--> 4*4 = 16.

--> 16*4 = 64.

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--> 256*4 = 1024.

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3 years ago

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2 years ago

Which expression uses the distributive property to represent the sum of 39 + 27

aalyn [17]

Answer:

The expression that uses the distributive property to represent the sum of 39 + 27 is $3(13 + 9)$

Step-by-step explanation:

Given

Expression: 39 + 27

Required

Express using the distributive property

The distributive property is represented in the form a(b + c)

So, we can say that the meaning to the question is that the given expression should be represented in the form a(b+c)

Equate these two expressions, we have

$a(b+c) = 39 + 27$

Factorize the expression on the left hand side

$a(b+c) = 3(\frac{39}{3} + \frac{27}{3})$

Simplify fraction

$a(b+c) = 3(13 + 9)$

Compare expression on left hand side with the expression on the right hand side.

Since, they have the same format, then we've arrived at the answer.

Hence, the expression that uses the distributive property to represent the sum of 39 + 27 is $3(13 + 9)$

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3 years ago

A figure lies entirely in Quadrant I. The figure is reflected in the xx-axis. In which quadrant is the image?

FinnZ [79.3K]

The image would then be in quadrant 3 because say you "folded" the coordinate plane across the x-axis, then the point attached onto the other side of the plane, the point would be in the 3rd quadrant.

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3 years ago

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mamaluj [8]

Answer: 9

Step-by-step explanation:

To solve this problem, we need to use our order of operations, or PEMDAS.

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

6÷2(1+2) [parenthesis]

6÷2(3) [multiply/divide from left to right]

3(3) [multiply]

Now, we know that the answer is 9.

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3 years ago