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Nana76 [90]
3 years ago
8

Select all the points that are on the graph of the line 2x+4y=20

Mathematics
2 answers:
Pavlova-9 [17]3 years ago
7 0

Answer:

(x,y)\\\\\Bigg(x, \displaystyle\frac{-1}{2}x+5\Bigg)

The points on the equation 2x+4y=20.

Step-by-step explanation:

We are given the following in the question:

2x+4y=20

Writing this equation in the point slope form,

y = mx + c

where m is the slope and c is the y-intercept.

2x+4y=20\\4y = 20-2x\\\\y =\displaystyle\frac{-1}{2}x+5

where the slope is \frac{-1}{2} and y-intercept is 5.

The attached image shows graph for the given equation.

All the points on the line for the given equation is of the form:

(x,y)\\\\\Bigg(x, \displaystyle\frac{-1}{2}x+5\Bigg)

Sliva [168]3 years ago
3 0

Answer:

The point (10-2y, y) for any real number y, represents any point on the given line.

Step-by-step explanation:

2x + 4y = 20

Divide both sides by 2.

x + 2y = 10

x = 10 - 2y

So, (10-2y, y) gives us all points on the graph of the line 2x + 4y = 20.

Some sample points:

Let y = 0. Then, 10-2(0) = 10.

Therefore, (10, 0) is one point on the given line.

For y = 1, y = 2 and y = 3,

(8, 1), (6, 2) and (4, 3) are some more points on the line.

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If the square root of p2 is an integer greater than 1, which of the following must be true? I. p2 has an odd number of positive
Grace [21]

Answer:

Option | and Option || is True

Step-by-step explanation:

Given:

If the square root of p^{2} is an integer greater than 1,

Lets p = 2, 3, 4, 5, 6, 7..........

Solution:

Now we check all option for p^{2}

Option |.

p^{2} has an odd number of positive factors.

Let p=2

The positive factor of 2^{2}=4=1,2,4

Number of factor is 3

Let p=3

The positive factor of 3^{2}=9=1,3,9

Number of factor is 3

So, p^{2} has an odd number of positive factors.

Therefore, 1st option is true.

Option ||.

p^{2} can be expressed as the product of an even number of positive prime factors

Let p=2

The positive factor of 2^{2}=4=1,2,4

4=2\times 2

Let p=3

The positive factor of 3^{2}=9=1,3,9

9=3\times 3

So, it is expressed as the product of an even number of positive prime factors,

Therefore, 2nd option is true.

Option |||.

p has an even number of positive factors

Let p=2

Positive factor of 2=1,2

Number of factor is 2.

Let p=4

Positive factor of 4=1,2,4

Number of factor is 3 that is odd

So, p has also odd number of positive factor.

Therefore, it is false.

Therefore, Option | and Option || is True.

Option ||| is false.

4 0
3 years ago
Please help me with this
Lorico [155]
Just apply the Pythagoras Theorem, 

LN² = LM² + MN²

LN² = 7² + 8²

LN² = 49 + 64

LN = √113

In short, Your Answer would be: Option D

Hope this helps!
7 0
3 years ago
Read 2 more answers
-10 = -10 + 7m<br> Thank you
My name is Ann [436]

Step-by-step explanation:

-10= -10+7m

-10+10=7m

0=7m

m=<u>0</u>

<u> </u><u> </u><u> </u><u> </u><u> </u>7

m=0

hope it helps.

7 0
3 years ago
Read 2 more answers
a recipe called for the ratio of sugar to flour to be 5 to 1 if you use 35 ounces of sugar how many ounces of flour do you need
den301095 [7]
7

The answer is 7 
The ratio would look like 35/7
4 0
3 years ago
-12.405 as a mixed number in simplest form please
scZoUnD [109]

\\ \ast\sf\longmapsto -12.405

\\ \ast\sf\longmapsto -\dfrac{12405}{1000}

  • Simplify until possible

\\ \ast\sf\longmapsto -\dfrac{2481}{200}

Now

\\ \ast\sf\longmapsto -12\dfrac{81}{200}

7 0
2 years ago
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