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3 years ago

HELP I REALLY NEED AN ANSWER WILL GIVE BRAINLIEST IF I CANNNNN

Mathematics

1 answer:

dmitriy555 [2]3 years ago

6 0

Answer:

Step-by-step explanation:

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32 3/4 take away 12 1/2

Degger [83]

make then have a common denominator first, so they would now be

32 3/4 12 2/4

now you can easily subtract the numerator and whole numbers (not demonitaor) to get the final answer of

20 1/4

4 0

3 years ago

A) by completing the square find in the form of the constant p the roots of the equation x^2+px+4=0

iris [78.8K]

Answer:

a)

$\displaystyle x=-\frac{1}{2}p\pm\sqrt{\frac{1}{4}p^2-4}$

b) p is in the interval (-4,4)

Step-by-step explanation:

Quadratic Equation

It's given the following quadratic equation:

$x^2+px+4=0$

It's required to complete squares and find the roots. This can be done by recalling the polynomial identity:

$a^2+2ab+b^2=(a+b)^2$

We already have the first term squared, and we need to find the second term. Rewriting the equation:

$\displaystyle x^2+2(\frac{1}{2}px)+4=0$

The second term of the binomial is 1/2p, thus completing the squares with $b^2$ :

$\displaystyle x^2+2(\frac{1}{2}px)+\left(\frac{1}{2}p\right)^2+4-\left(\frac{1}{2}p\right)^2=0$

Factoring:

$\displaystyle \left(x+\frac{1}{2}p\right)^2+4-\frac{1}{4}p^2=0$

Moving the independent term to the right side:

$\displaystyle \left(x+\frac{1}{2}p\right)^2=\frac{1}{4}p^2-4$

Taking the square root:

$\displaystyle x+\frac{1}{2}p=\pm\sqrt{\frac{1}{4}p^2-4}$

Solving for x:

$\displaystyle x=-\frac{1}{2}p\pm\sqrt{\frac{1}{4}p^2-4}$

b) If the equation won't have real roots, then the radicand should be negative:

$\displaystyle \frac{1}{4}p^2-4$

Factoring:

$\displaystyle \left(\frac{1}{2}p-2\right)\left(\frac{1}{2}p+2\right)$

The zeros of the left-side polynomial are:

$\displaystyle \frac{1}{2}p-2=0$

$\displaystyle \frac{1}{2}p=2$

p = 4

$\displaystyle \frac{1}{2}p+2=0$

$\displaystyle \frac{1}{2}p=-2$

p = -4

The inequality:

$\displaystyle \left(\frac{1}{2}p-2\right)\left(\frac{1}{2}p+2\right)$

Is satisfied for values of p in the interval (-4,4)

5 0

3 years ago

Solve the system of equations. 2x + 2y + 3z = 3 6x + 3y + 37 = 3 2x + 5y + z = 6

Lyrx [107]

Answer:

1. x=3/2-y-3z/2

2.x=-y/2-17/3

3.x=3-5y/2-z/2

Step-by-step explanation:

i gusse

3 0

3 years ago

A triangle has angle measures of 104 and 22 what is the measure of the third angle?

OverLord2011 [107]

Answer:

54 degrees.

Step-by-step explanation:

All triangles equal 180 degrees. So, 180 minus 104 minus 22 equals 54. Since you can add 54, 104, and 22 together to get 180, that means that is the correct answer.

8 0

3 years ago

Decide whether or not the figures are similar. Explain why or why not.

AleksAgata [21]

Step-by-step explanation:

To tell if JKON and JKLM are similar, compare the ratios between corresponding sides. For example:

JK / KO = 5/8

JK / KL = 5/22

The ratios aren't the same, so the shapes aren't similar.

3 0

3 years ago