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dimulka [17.4K]
2 years ago
7

Use index notation to write 248 as a product of its factor

Mathematics
1 answer:
kiruha [24]2 years ago
5 0

Answer:

2^3 x 31

Step-by-step explanation:

31 is a prime number

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Similar Triangles
Fudgin [204]

Answer:

B. 3/9 = 4/12 = 1/3

Step-by-step explanation:

I calculated it logically

3 0
2 years ago
Factor x^2 - 7x + 12 please explain how you got your answer
Gekata [30.6K]
(x - 4)(x - 3), First find the factors of x^2 which is x and x so write that down of the left sides of both brackets. Next, find the factors of 12 that when added gives you the middle number which is -7 and i got 3 and 4 so write that down in the right sides in the brackets. Lastly you need to know the signs so now since its + 12 you need the signs that give you a positive number which is - and - but its also + and +, so look at the middle number its -7x so +3 +4 wont give you -7x but -3 - 4 will so that your answer, 
Hope this helped!
5 0
3 years ago
Let $r$ and $s$ be the roots of $3x^2 + 4x - 12 = 0.$ Find $r^2 + s^2.$
Paul [167]

We can factorize the quadratic as

3x^2 + 4x - 12 = 3 (x - r) (x - s)

and expand the right side to get

3x^2 + 4x - 12 = 3x^2 - 3(r + s) x + 3rs

\implies r + s = -\dfrac43 \text{ and } rs = -4

Then we find

(r + s)^2 = r^2 + 2rs + s^2 \implies r^2 + s^2 = \left(-\dfrac43\right)^2 - 2(-4) = \boxed{\dfrac{88}9}

8 0
2 years ago
Steve has 11 biscuits in a tin.
Andrei [34K]

Answer:

0.89

Step-by-step explanation:

because he has 11 biscuits in total the method of calculating probability is 1- an integer so if the integer is 11 its 1 minus 11 is 0.89

6 0
2 years ago
If mZTUV = (9x + 1)", mZTUW = (7x-9), and<br> mZWUV = (5x - 11)", find the value of x.
Vanyuwa [196]

Answer:

x = 1

Step-by-step explanation:

Since, angle TUV has been divided in two parts by a ray UW

Measure of angle TUV = measure of angle TUW + measure of angle WUV

m∠TUV = m∠TUW + m∠WUV

By substituting the values of the given angles,

(9x + 1) = (7x - 9) + (5x - 11)

9x + 1 = 12x - 20

12x - 9x = 20 + 1

21x = 21

x = 1

Therefore, x = 1 will be the answer.

5 0
3 years ago
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