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3 years ago

Based on the tables, at what point do the lines y = 3x - 2 and y = -5x - 10 intersect?

Mathematics

1 answer:

Pepsi [2]3 years ago

8 0

Intersect at where x=x and y=y
see where they have the same x and y values
that is at x=-1 and y=-5
intersect at (-1,-5)

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2³+2²+2÷2²+2+1=2 prove that this relation is true for any natural numbers

UkoKoshka [18]

So, this question is basically asking us "If we had an x instead of a 2, would this be true?" We can try and see what we get:

$\frac{x^3+x^2+x}{x^2+x+1}=x$

So, if we want to show this we have to change the numerator or denominator in such a way that we can cancel some common factors. Notice that $x^3+x^2+x=x(x^2+x+1)$

If we replace the factored numerator with the original one, we get:

$\frac{x(x^2+x+1)}{x^2+x+1}=x \implies \\ x=x$

Since we have an equality, this relation is proved.

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3 years ago

8. Sam divided a rectangle into 8 congruent

S_A_V [24]

Sam divided a rectangle into 8 congruent rectangles that each have a area of 5 cm2. what is the area of the rectangle before it is divided?

Answer:

$Area\ of\ the\ rectangle = 40\ cm^{2}$

Step-by-step explanation:

Given:

Sam divided a rectangle into 8 congruent rectangles that each have an area of $5\ cm^{2}$

We need to find the area of the rectangle before Sam divided it.

The area of the rectangle before Sam divided is 8 times of the area of the congruent rectangles.

Area of the rectangle = $8\times (area\ of\ congruent\ rectangles)$

Area of the congruent rectangle is $5\ cm^{2}$

So the area of the rectangle is

Area of the rectangle = $8\times 5$

Area of the rectangle = $40\ cm^{2}$

Therefore the area of the rectangle before divided is $40\ cm^{2}$

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2 years ago

In fraction form, what portion is shaded green? A) 1 2 B) 1 3 C) 2 2 D) 2 3

alexira [117]

If 12 is shaded out of 18 then the fraction is 12/18. We then need to simplify it to get 2/3.

The answer is D) 2/3

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2 years ago

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Eddie's fishing. He has 1 1/4 ounces of weights on his line, but his bait isn't getting to the bottom of the lake. Eddie add ano

mario62 [17]

The initial weight is given by:
$1 \frac{1}{4} = 1.25
$
Then, we add a second weight:
$\frac{1}{2} = 0.5
$
Finally, we add a third weight:
$\frac{3}{4} = 0.75
$
Adding the three added weights, we can find the total weight.
We have then:
$1.25 + 0.5 + 0.75 = 2.5
$
The total weight is:
$2.5 = 2 \frac{1}{2} 
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Answer:
eddie now has $2 \frac{1}{2}$ ounces on his line

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3 years ago

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If AG =2x +10 and CF =5x-2, find the value of x

andrezito [222]

The value of x is 4 if the AG =2x +10 and CF =5x-2 which are opposite sides of a parallelogram option (d) is correct.

<h3>What is parallelogram?</h3>

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

The question is incomplete:

The complete question is in the picture please refer to the picture.

We have given the side measure of a parallelogram:

AG =2x +10 and CF =5x-2

As we know in the parallelogram the opposite sides are equal in measure.

AG = CF

2x + 10 = 5x - 2

3x = 12

x = 4

CF = 5x - 2 = 5(4) - 2 = 20 - 2 = 18

Thus, the value of x is 4 and value of CF is 18if the AG =2x +10 and CF =5x-2 which are opposite sides of a parallelogram.

Learn more about the parallelogram here:

brainly.com/question/1563728

#SPJ1

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2 years ago