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3 years ago

URGENT I put an answer already but I need a confirmation!

Mathematics

1 answer:

xeze [42]3 years ago

7 0

The answer to one is b. I recommend using a website called Desmos when you have to do things with equations. It has been very helpful to me and gives you the answer automatically. Even teachers recommend it.

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Prove that if one solution for a quadratic equation of the form x 2 + bx + c = 0 is rational (where b and c are rational), then

erica [24]

$x^2+bx+c = (x-r)(x-s)\\
x^2+bx+c = x^2-(r+s)x+rs\\\\
b = -(r+s)\\ c = rs$

Say r is rational. Suppose for a second, that s is not. Then, r+s is irrational. But this contradicts the fact that b is rational.

So, if one root is rational, then the other root is also rational

7 0

3 years ago

Is zero a rational number? Can you write it in the form p/q, where p and q are integers and q ≠ 0

fredd [130]

Answer:

yes, 0 is a rational number. zero can be represented as p/q in the form of 0/1, 0/2, 0/3, 0/4…etc. since the number zero divided by any number is equal to zero. **and remember rational numbers are numbers that can be written as fractions**

Step-by-step explanation:

0/1=0

0/2=0

0/3=0

0/1000=0

and so on and so forth

**as you can see any number paired with zero will result in 0 being your final answer**

good luck :)

i hope this helps

have a nice day !!

3 0

3 years ago

In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths. AH=4 and HC=1, find BH.

Rudik [331]

Answer:

Length of BH is 2 units.

Step-by-step explanation:

We have, ΔABC with ∠ABC = 90° and an altitude BH.

Also, it is given that the length of sides AH is 4 units and HC is 1 units.

Since, the 'Altitude Rule' states that 'the length of the altitude is the geometric mean of the line segments it bisects'.

So, we get that,

$BH^{2}=AH\times HC$

i.e. $BH^{2}=4\times 1$

i.e. $BH^{2}=4$

i.e. $BH=\pm 2$

Since, the length of the side cannot be negative.

So, length of BH is 2 units.

3 0

4 years ago

Make a pattern starting at -7 with term to term rule of +2

sammy [17]

Answer:

-7, - 5, - 3, - 1, 1, 3

Step-by-step explanation:

The question basically means that the 1st number in the number line pattern is - 7. And that the difference between the consecutive terms (e. G. Term 1 and term 2, term 3 and term 4...) is +2.

Basically term 2 is (Term 1) +2

Term 3 is (term 2) +2

8 0

3 years ago

Choose the function that shows the correct transformation of the quadratic function shifted eight units to the left and one unit

Hitman42 [59]

Answer:

Option 3 is correct.

Step-by-step explanation:

Given the functions we have to select the correct transformation of the quadratic function shifted eight units to the left and one unit down.

As we know, to create a new function to apply vertical shift up we have to add the number of shift to that function or vertical shift down we have to subtract that from the given function.

Similarly, to create a new function to apply horizontal shift left we have to add the number of shift to that function of x or shift right we have to subtract that from the given function.

If we have to transform the quadratic function shift one unit down then we have to subtract 1 from the function.

And If we have to transform the quadratic function shift eight units to the left we have to add the shift to x.

Hence, the new function becomes, $f(x)=(x+8)^2-1$

Option 3 is correct.

7 0

3 years ago