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3 years ago

-12-6-(-2) combine like terms

Mathematics

2 answers:

dexar [7]3 years ago

8 0

Answer:

-12-6-(-2)

-12-6-+2

-18+2

-16

Hope This Helps!!!

denis-greek [22]3 years ago

6 0

Answer:

"Like terms" are terms whose variables (and their exponents such as the 2 in x2) are the same. In other words, terms that are "like" each other. Note: the coefficients (the numbers you multiply by, such as "5" in 5x) can be different.

-12-6-(-2)

-12-6-+2

-18+2

-16

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What is the equation of the quadratic graph with a focus of (1, 1) and a directrix of y = −1? PLs HELP!!

Delicious77 [7]

ANSWER
$f(x)= \frac{1}{4} {(x - 1)}^{2}$

EXPLANATION

Since the directrix is
$y = - 1$

the axis of symmetry of the parabola is parallel to the y-axis.

Again, the focus being,

$(1,1)$

also means that the parabola will open upwards.

The equation of parabola with such properties is given by,

${(x - h)}^{2} = 4p(y - k)$
where
$(h,k)$

is the vertex of the parabola.

The directrix and the axis of symmetry of the parabola will intersect at
$(1, - 1)$

The vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix.

This implies that,
$h = \frac{1 + 1}{2} = 1$

and
$k = \frac{ - 1 + 1}{2} = 0$

The equation of the parabola now becomes,

$(x - 1) ^{2} = 4p(y - 0)$

$|p| = 1$

Thus, the distance between the vertex and the directrix.

This means that,

$p = - 1 \: or \: 1$

Since the parabola opens up, we choose
$p = 1$
Our equation now becomes,

${(x - 1)}^{2} = 4(1)(y - 0)$

This simplifies to
${(x - 1)}^{2} = 4y$

or

$y = \frac{1}{4} {(x - 1)}^{2}$

This is the same as,

$f(x)= \frac{1}{4} {(x - 1)}^{2}$

The correct answer is D .

4 0

3 years ago

How many terms are in the expression<br><img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%2B%20xy%20-%20%7By%7D%5E%7B2%7

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a term will be the expression between the + or - signs

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4 0

3 years ago

URGENT PLEASE: You purchase a new guitar and take out a loan for $450. You have 18 equal monthly payments of $28 each. What is t

kramer

Answer:
8%

Step-by-step explanation:
The amount repaid is ...
A = P(1 +rt)
Filling in the given values, we can find r.
(18·28) = 450(1 +r(18/12)) . . . . . t is in years
504 = 450 + 675t

54/675 = 0.08 = 8%

The simple interest rate on the loan is 8%.

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3 years ago

The perimeter of a rectangle is 1000m. if the length is given as x , find the width in terms of x

BabaBlast [244]

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3 years ago

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iris [78.8K]

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A score on all 8 tests = 86

Then, Sum of first 6 numbers = 84 x 6 = 504

Sum of first 8 numbers = 86 x 8 = 688

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= 688-504

=184

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= 184÷2

= 92

Hence, the average of your last two test scores = 92.

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3 years ago