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Gekata [30.6K]
3 years ago
6

the lengths of three pieces of wire are in the ratio 10:15:8. if the length of the shortest piece of wire is 2.4 m, find the dif

ference in the lengths of other two pieces of wire.

Mathematics
1 answer:
luda_lava [24]3 years ago
3 0
Hope this helps you.

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Someone please help??
Ksju [112]

Answer:

hey

Step-by-step explanation:

4 0
3 years ago
Factor the polynomial, x2 + 5x + 6
patriot [66]

Answer:

Choice b.

x^{2} + 5\, x + 6 = (x + 3)\, (x + 2).

Step-by-step explanation:

The highest power of the variable x in this polynomial is 2. In other words, this polynomial is quadratic.

It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to 0.)

After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.

Apply the quadratic formula to find the two roots that would set this quadratic polynomial to 0. The discriminant of this polynomial is (5^{2} - 4 \times 1 \times 6) = 1.

\begin{aligned}x_{1} &= \frac{-5 + \sqrt{1}}{2\times 1} \\ &= \frac{-5 + 1}{2} \\ &= -2\end{aligned}.

Similarly:

\begin{aligned}x_{2} &= \frac{-5 - \sqrt{1}}{2\times 1} \\ &= \frac{-5 - 1}{2} \\ &= -3\end{aligned}.

By the Factor Theorem, if x = x_{0} is a root of a polynomial, then (x - x_0) would be a factor of that polynomial. Note the minus sign between x and x_{0}.

  • The root x = -2 corresponds to the factor (x - (-2)), which simplifies to (x + 2).
  • The root x = -3 corresponds to the factor (x - (-3)), which simplifies to (x + 3).

Verify that (x + 2)\, (x + 3) indeed expands to the original polynomial:

\begin{aligned}& (x + 2)\, (x + 3) \\ =\; & x^{2} + 2\, x + 3\, x + 6 \\ =\; & x^{2} + 5\, x + 6\end{aligned}.

4 0
2 years ago
Graph the function g(x) = 4x–7.
lukranit [14]

Answer:

two dots: (0, -7), (1, -3)

and it's the line

Step-by-step explanation:

just try x=0, g(x)=-7

and x=1, g(x)=-3

5 0
2 years ago
SOMEONE HELP ME PLEASE
faust18 [17]

Answer:

The answer is either 1, 3, or 5

Step-by-step explanation:

There are 6 sides on a singular die and the die is rolled twice the first time it rolls onto 4 and the second onto an odd number. The only odd numbers on a 6 sided die are 1, 3, and 5.

5 0
3 years ago
Read 2 more answers
How can a change in Earth’s tilt affect Earth’s climate?
Vesnalui [34]

Answer:

I think its C

Hope this helps :)

4 0
3 years ago
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