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3 years ago

Evaluate 4.8 – (2.5 – 6.3) using any strategy of your choice.

Mathematics

2 answers:

sesenic [268]3 years ago

4 0

Answer:

If I have understood the problem correctly, your answer will be 8.6

Step-by-step explanation:

You will first subtract 6.3 from 2.5 resulting in you getting -3.8

Now your problem will look like this: 4.8-(-3.8)

Since there is two negatives side by side that negative becomes a positive.

Now your problem looks like this: 4.8+3.8

Now you just add the two together resulting in you getting 8.6

Your Welcome

vodka [1.7K]3 years ago

3 0

If you are trying to find the answer to the equation, the answer would be 8.6

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The length plus the width of a rectangle is 10. Let x represent the length. The equation for the area y of the

yuradex [85]

Answer:

length of rectangle = 5

width of rectangle = 5

Area of rectangle = 25

Step-by-step explanation:

Since the length of the rectangle is "x", and the value of the area is given by the product of the length "x" times the width "10-x", indeed, the area "y" of the rectangle is given by the equation:

$y=x\,(10-x)=10x-x^2$

Now, they tell us that the area of the rectangle is such that coincides with the maximum (vertex) of the parabola this quadratic expression represents. So in order to find the dimensions of the rectangle and therefore its area, we find the x-coordinate for the vertex, and from it, the y-coordinate of the vertex, which is the rectangle's actual area.

Recall that the formula for the x of the vertex of a quadratic of the form :

$y=ax^2+bx+c$

is given by the formula:

$x_{vertex}=-\frac{b}{2\,a}$

which in our case gives:

$x_{vertex}=-\frac{b}{2\,a}\\x_{vertex}=-\frac{10}{2\,(-1)}\\x_{vertex}=5$

Therefore, the length of the rectangle is 5, and its width (10-x) is also 5.

The area of the rectangle is therefore the product of these two values: 5 * 5 = 25

Which should coincide with the value we obtain when we replace x by 5 in the area formula:

$y=10x-x^2\\y=50-(5)^2\\y=50-25\\y=25$

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3 years ago

Which expression is equivalent to 3(x + 4)?

Klio2033 [76]

Answer:

3x + 12

Step-by-step explanation:

Use the distributive property.

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Answer: 3x + 12

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2 years ago

Read 2 more answers

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dybincka [34]

Do 36 divided by the amount of sides the hexagon has. I think I am not sure

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3 years ago

find the equation of a line through the coordinate (3,6) and parallel to the line represented by y=5/3 x-1

maw [93]

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0 or (0,y))

For lines to be parallel, their slopes have to be the SAME.

The given line's slope is 5/3, so the parallel line's slope is also 5/3

y = 5/3x + b

To find "b", plug in the point (3,6) into the equation

y = 5/3x + b

6 = 5/3(3) + b

6 = 5 + b

1 = b

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3 years ago