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3 years ago

a rectangle has length 3 cm greater than its width.it has an area of 28cm squared,find the dimensions of the rectangle

1 answer:

3 0

Let w be the width
And let h be the length
h = w + 3

w * h = 28
w(w+3) = 28
w^2 + 3w = 28
Use a calculator (or use the quadratic formula) to get w=4

To find h, just add w by 3.
You get 7.

The dimensions of the rectangle is 4 by 7 cm.

Have an awesome day! :)

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Answer ASAP 15 points

malfutka [58]

A or 5/7, they’re both odd numbers so it cannot be simplified any further

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3 years ago

Which set of ordered pairs has point symmetry with respect to the origin (0, 0)?

Leya [2.2K]

Answer:

(-8, 3), (8, -3)

Step-by-step explanation:

Point symmetry about origin means reflection of the given point about the origin.

The reflection of a point about the origin will cause the 'x' and 'y' value of the point to change its sign.

Therefore, the coordinate rule for point symmetry about the origin is given as:

$(x,y)\to (-x,-y)$

Now, let us check each of the given options.

Option 1:

(-8, 3), (8, -3)

Now, if (x, y) = (-8, 3), then its point symmetry is given as (-(-8), -3) = (8, -3)

So, option 1 is correct.

Option 2:

(-8, 3), (-3, 8)

Now, if (x, y) = (-8, 3), then its point symmetry is given as (-(-8), -3) = (8, -3) ≠ (-3, 8)

So, option 2 is not correct.

Option 3:

(-8, 3), (-8, -3)

Now, if (x, y) = (-8, 3), then its point symmetry is given as (-(-8), -3) = (8, -3) ≠ (-8, -3)

So, option 3 is not correct.

Option 4:

(-8, 3), (8, 3)

Now, if (x, y) = (-8, 3), then its point symmetry is given as (-(-8), -3) = (8, -3) ≠ (8, 3)

So, option 4 is not correct.

Hence, only option 1 is correct.

5 0

3 years ago

How do you solve x^2 plus 16x plus 63=0?

Alex

$x^2+ 16x + 63=0 \\ \\a=1, \ b=16 , \ c=63 \\ \\ \Delta =b^2-4ac =16^2 -4\cdot1\cdot 63 = 256 -252 = 4 \\ \\x_{1}=\frac{-b-\Delta }{2a}=\frac{-16-\sqrt{4}}{2 }=\frac{-16-2}{2}=-\frac{-18}{2}=-9 \\ \\x_{2}=\frac{-b+\Delta }{2a}=\frac{-16+\sqrt{4}}{2 }=\frac{-16+2}{2}=-\frac{-14}{2}=-7 \\ \\ \\Answer : \ x= -7 \ \ or \ \ x= -9$

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3 years ago

Find the length of side a.<br> please help?

GaryK [48]

Answer:

Hello! I believe your answer is a = 3

Step-by-step explanation:

a= $\sqrt{5^{2}-4^{2} }$ = 3

Have a good day! - Zac

8 0

2 years ago

Read 2 more answers

Urgent help, please!.....

pishuonlain [190]

To solve this problem, we want to get all of the possible options into the same form, so that it is easier to compare them. Personally, I prefer comparing in decimals, so that is how I am going to solve this problem.

13/4 - To turn this improper fraction into its decimal equivalent, it is easier to first turn it into a mixed number by dividing the numerator by the denominator.

13/4 = 3 1/4

Because we know that 1/4 = 0.25, we now know that 3 1/4 = 3.25

Therefore, 13/4 = 3.25

3 1/2 - This is similar to the end of the process above. We know that 1/2 = 0.5, so we know that 3 1/2 = 3.5

3 1/2 = 3.5

3.15 is already in its decimal form, so we can leave that be for now.

√9 - To simplify this, we must figure out what number multiplied by itself equals 9. If we start with 2 (2*2 = 4), so that is too small. Next maybe we try 4 (4 * 4 = 16), so that is too large. Now we know we need a number in between 2 and 4, so maybe we try 3. 3 * 3 = 9, so we can conclude that √9 = 3.

√9 =3

If we take all of our decimal equivalents, we have 3.25, 3.5, 3.15, and 3.

Because all of these values have the same whole number value of 3, we need to compare the decimals to find out what order they belong in.

Our final order is (from smallest to largest): 3, 3.15, 3.25, 3.5

But, we need to substitute in the equivalent values we were given for these decimals originally to finish the problem.

This makes your final answer: √9, 3.15, 13/4, 3 1/2

Hope this helps!

4 0

3 years ago

Read 2 more answers