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3 years ago

8x-6y=-20 -16x+7y=30

1 answer:

8 0

Simplifying 8x + -6y = -20

Solving 8x + -6y = -20

Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right

Add '6y' to each side of the equation. 8x + -6y + 6y = -20 + 6y

Combine like terms: -6y + 6y = 0 8x + 0 = -20 + 6y 8x = -20 + 6y

Divide each side by '8'. x = -2.5 + 0.75y

Simplifying x = -2.5 + 0.75y

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The line y=-1/3x+4 passes through which of the following points

e-lub [12.9K]

Answer:

The line passes through the points ( 0 , 4 ) and ( 12 , 0 )

Step-by-step explanation:

Given equation of line as :

y = - $\frac{1}{3}$ x + 4

Let the points through which the line passes are

( $x_1$ , $y_1$ ) , ( $x_2$ , $y_2$ )

Now, for x = 0 , The line equation is y = - $\frac{1}{3}$ × 0 + 4

I.e for x = 0 , y = 0 + 4 = 4

So, ( $x_1$ , $y_1$ ) = ( 0 , 4 )

Again , for y = 0 , The line equation is 0 = - $\frac{1}{3}$ × x + 4

I.e for y = 0 , The line equation is 4 = $\frac{x}{3}$

Or, for y = 0 , x = 4 × 3 = 12

So , ( $x_2$ , $y_2$ ) = ( 12 , 0 )

Hence The line passes through the points ( 0 , 4 ) and ( 12 , 0 ) Answer

5 0

3 years ago

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The solution to 2 x 27 will be what kind of number?

mestny [16]

Answer:

A even

Step-by-step explanation:

Since we are multiplying by 2 which is an even number, the result must be even

8 0

3 years ago

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A line passes through the point (-3,-3) and had a slope of 1/2, what equation is the line?

azamat

Answer:

y + 3 = 1/2(x + 3)

Step-by-step explanation:

Point Slope Form: y - y1(y coordinate) = m(slope)(x - x1(x coordinate))

4 0

1 year ago

This object is made with five identical cubes. each cube edge if 4 centimeters long, What is the surface area of this object in

CaHeK987 [17]

Answer:

480 cm ^ 2

Step-by-step explanation:

To calculate the surface area of the figure, we must calculate the surface area of the cube, we know that they are identical, therefore, calculating the area of one is sufficient.

We have that the surface area of a cube is:

A = 6 * a ^ 2

where a is the edge, we know that if it is a cube all its sides are equal, in this case it is 4 centimeters, if we replace we have:

A = 6 * (4 ^ 2)

A = 96

96 square centimeters is the area of a cube, but since the area of the object would be the sum of the area of all the cubes, then:

AT = 96 * 5

AT = 480 cm ^ 2

The surface area of the object formed with the cubes is 480 cm ^ 2

3 0

3 years ago

Someone help, please and thank you

taurus [48]

Answer:

6√2

Step-by-step explanation:

Given,

θ = 45

Opposite side = 6

To find : - Hypotenuse

Formula : -

sin θ = Opposite side / Hypotenuse

[ The value of sin 45 = 1 / √2 ]

sin 45 = 6 / Hypotenuse

1 / √2 = 6 / Hypotenuse

Cross multiply,

Hypotenuse = 6√2

8 0

2 years ago

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