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Brrunno [24]
3 years ago
10

What value of c makes the trinomial below a perfect square? x^2+9x+c

Mathematics
2 answers:
VLD [36.1K]3 years ago
5 0

Answer:

(\frac{9}{2})^{2}

Step-by-step explanation:

In order to calculate this you just have to rememer the quadratic formula:

a^{2} +2ab+b^{2}

So we know that 2ab=9x, if we clear that ecuation we can solve the value for b:

9x=2ab\\b=\frac{9x}{2x} \\b=\frac{9}{2}

And now we know that b=9/2 and to complete the perfect square we just multiply to the square:

(\frac{9}{2})^{2}

lyudmila [28]3 years ago
4 0
81/4 is the answer , use formula (b/2) squared
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The value of 33 + 42 = ___.
frez [133]

Answer:

75

Step-by-step explanation:

We line up the tens place of 33 and 42 as well as the ones place so that it looks like:

33

+42

--------

Then we add first the ones, which is 3 + 2 for 5. Then we add the tens together, 3 + 4 is 7. We put the five first since its in the ones place and the 7 second since its in the tens place for 75.

6 0
3 years ago
Read 2 more answers
You have 1,000,000 number cubes, each measuring one inch on a side. if you layered the cubes to make one big cube what would be
azamat

Answer:

100 x 100 x 100 number cubes

Step-by-step explanation:

It's basically a volume problem.  The question is asking if you made a big cube filled with smaller cubes , specifically 1,000,000 of them, what are the dimensions of this big cube.  Or in other words the volume is 1,000,000.  Now how do we find the volume of a cube?  length times width times height, and witht he cubes each of those are the same so we can call them all x.

Now we just set up the equation where we have the equation whatever one side is times itself  three times, (or x cubed) it will equal 1,000,000 or x^3=1,000,000,000.  Now you just take the cube root of 1,000,000 which gets us 100.  so the length, width and height are 100 small cubes.

3 0
3 years ago
2, 2 1/2, 1 1\2, 2 whats the next number in the series
DedPeter [7]
<h3>Answer:  1</h3>

Explanation:

The jump from 2 to 2&1/2 is an increase of 1/2

2 + 1/2 = 2 & 1/2

The jump from 2 & 1/2 to 1 & 1/2 is a decrease of 1

(2 & 1/2) - 1 = (2 - 1) & 1/2 = 1 & 1/2

The jump from 1 & 1/2 to 2 is an increase of 1/2

(1 & 1/2) + 1/2 = 1 + (1/2 + 1/2) = 1 + 1 = 2

The pattern seems to be "add 1/2, subtract 1". Assuming this is the case, we would then subtract 1 from the last term we got (2) to get 2-1 = 1

7 0
3 years ago
That’s all i need to know. Thanks!
Svet_ta [14]

Answer:

c = 5

Step-by-step explanation:

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = 25

c^2 = 25

sqrt of 25 = 5

c= 5

6 0
3 years ago
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A number lies 12 units to the left of 0 on a number line. Which of the following describes the location of the opposite of the n
sergiy2304 [10]
12 units to the right of 0
5 0
3 years ago
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