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3 years ago

If the point (a,3) lies on the graph of the equation 5x + y = 8 then a =?

Mathematics

1 answer:

Contact [7]3 years ago

3 0

Answer:

a = 1

Step-by-step explanation:

Given the point (a, 3) is on the line: 5x + y = 8.

Any point on the line satisfies the equation.

So, (a, 3) should satisfy the equation 5x + y = 8

Substituting x = a and y = 3, we get:

5(a) + 3 = 8

$\implies 5a = 5$

⇒ a = 1

Therefore, (1, 3) is the point on the line.

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A. Decide whether the given examples illustrate a constant or a variable.

notka56 [123]

Answer:

a constant is a data item whose value cannot change during the program execution just as its name implies that the value is constant a variable is a data item whose value can change during the program's execution . Thus as its name implies the the value can vary

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2 years ago

You are planning on retiling your bathroom floor and buy 96 square feet of tile. If the length of the bathroom is

Rudik [331]

Answer:

8 feet

Step-by-step explanation:

Given that 96 sq. feet of tile is bought to retile the bathroom.

It means area of bathroom is 9 $3/2 x^2 = 96\\=> 3 x^2 = 96*2=192\\=> x^2 = 192/3 = 64\\=>\sqrt{x^2} = \sqrt{64} \\=> x = 8$ 6 sq. feet

Width of bathroom be x

Given that the length of the bathroom is one and a half times the width

Length of bathroom in term sod width = 1 1/2* x = 3/2 x

we know area of rectangle is given by length * width

therefore area of bathroom =( x* 3/2 x) = 3/2 x^2

Also area of bathroom is 86 sq. feet, therefore

$3/2 x^2 = 96\\=> 3 x^2 = 96*2=192\\=> x^2 = 192/3 = 64\\=>\sqrt{x^2} = \sqrt{64} \\=> x = 8$

Thus, width of bathroom is 8 feet.

4 0

3 years ago

Evaluate -3x² + 4x-2 for x = 2.<br> A. -2<br> B. -1<br> C. -6<br> D. 18

kobusy [5.1K]

Answer:

C. -6

Step-by-step explanation:

-3(2)²+4(2)-2

-3(4) + 8 - 2

-12+8-2

-14+8

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2 years ago

Graph the equation y=x+7

Otrada [13]

HERE IT IS!!!

I HOPE THIS IS GOOD ENOUGH

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3 years ago

The base of a triangle is 5.3 inches.The height of the triangle is 6.8 inches.What is the area of the triangle

Murrr4er [49]

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3 years ago