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lana [24]
3 years ago
15

What is the size of angle ABC

Mathematics
2 answers:
Ivenika [448]3 years ago
8 0
The angle is 55 degrees
otez555 [7]3 years ago
7 0
The size of the triangle is 55 degrees.
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Rewrite the expression $6j^2 - 4j 12$ in the form $c(j p)^2 q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$
solniwko [45]

Rewrite the expression  6j^2 - 4j + 12$ in the form $c(j + p)^2 + q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$

The ratio of \frac{q}{p}  = - 34

How to solve such questions?

Such Questions can be easily solved just by some Algebraic manipulations and simplifications. We just try to make our expression in the form which question asks us. This is the best method to solve such questions as it will definitely lead us to correct answers. One such method is completing the square method.

Completing the square is a method that is used for converting a quadratic expression of the form ax^{2} + bx + c to the vertex form

a(x - h)^{2} + k. The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square: a(x + m)^{2} + n, such that the left side is a perfect square trinomial

$6j^2 - 4j +12$

=  $6(j^2 - \frac{2}{3} j )+12$

= $6(j^2 - \frac{2}{3} j  +  \frac{1}{9}  )+\frac{102}{9}                   (Completing Square method)

=6( j- \frac{1}{3} )^{2}  +  \frac{34}{3}

On comparing with the given equation we get

p = - \frac{1}{3}     and q = \frac{34}{3}

∴ \frac{q}{p} = \frac{\frac{34}{3} }{\frac{-1}{3} }

= - 34

Learn more about completing the square method here :

brainly.com/question/26107616

#SPJ4

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2 years ago
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Morgan, its a straight line and it goes through the origin

Step-by-step explanation:

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Dominik [7]

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Step-by-step explanation:

4 0
2 years ago
What is 9×3 +1000×200-50?​
valentina_108 [34]

Step-by-step explanation:

The answer to ur question is 199977

3 0
3 years ago
Read 2 more answers
A poll agency reports that 75% of teenagers aged 12-17 own smartphones. A random sample of 234 teenagers is drawn. Round your an
GalinKa [24]

Answer:

If our random variable of interest for this case is X="the number of teenagers between 12-17 with smartphone" we can model the variable with this distribution:

X \sim Binom(n=234, p=0.75)

And the mean for this case would be:

E(X) =np = 234*0.75= 175.5

And the standard deviation would be given by:

\sigma =\sqrt{np(1-p)}= \sqrt{234*0.75*(1-0.75)}= 6.624

Step-by-step explanation:

If our random variable of interest for this case is X="the number of teenagers between 12-17 with smartphone" we can model the variable with this distribution:

X \sim Binom(n=234, p=0.75)

And the mean for this case would be:

E(X) =np = 234*0.75= 175.5

And the standard deviation would be given by:

\sigma =\sqrt{np(1-p)}= \sqrt{234*0.75*(1-0.75)}= 6.624

3 0
3 years ago
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