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VladimirAG [237]
3 years ago
15

Write an expression equivalent to 10+2m by factoring out the greatest common factor from the two terms

Mathematics
1 answer:
Rina8888 [55]3 years ago
5 0
The greatest common factor is 2. So you have to factor out 2 from the equation. So it is (5+m)2.
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PLEASE HELP ME NOW!!!!! ILL GIVE BRAINLIEST!!!
natulia [17]

Answer:

its C. 17/10

Bcs 3/2

=1.5

And on the figure shown 1.5 comes in c

<h2>Mark me BRAINLIEST </h2>
8 0
3 years ago
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Part 2: Use the information provided to write the vertex form equation of each parabola.
Serggg [28]

Answer:   1.  x = -2(y - 4)² + 1

                2.  x = -y² + 5

                3.  y = -5(x + 1)² + 2

<u>Step-by-step explanation:</u>

Notes: The vertex formula of a parabola is x = a(y - k)² + h  or  y = a(x - h)² + k

  • (h, k) is the vertex
  • p is the distance from the vertex to the focus

    \bullet\quad a=\dfrac{1}{4p}

1)

\text{Vertex}=(1,4)\qquad \text{Focus}:\bigg(\dfrac{7}{8},4\bigg)\\\\\text{Given}: (h,k)=(1,4)\\\\\\p=focus-vertex=\dfrac{7}{8}-\dfrac{8}{8}=\dfrac{-1}{8}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{-1}{8})}=\dfrac{1}{-\frac{1}{2}}=-2

Now input a = -2 and (h, k) = (1, 4) into the equation x = a(y - k)² + h

x = -2(y - 4)² + 1

***********************************************************************************

2)

\text{Vertex}=(5,0)\qquad \text{Directrix}:x=\dfrac{21}{4}\\\\\text{Given}: (h,k)=(5,0)\\\\\\p=vertex-directrix=\dfrac{20}{4}-\dfrac{21}{4}=\dfrac{-1}{4}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{-1}{4})}=\dfrac{1}{-1}=-1

Now input a = -1 and (h, k) = (5, 0) into the equation x = a(y - k)² + h

x = -1(y - 0)² + 5    →    x = -y² + 5

***********************************************************************************

3)

\text{Vertex}=(-1,2)\qquad \text{Directrix}:y=\dfrac{41}{20}\\\\\text{Given}: (h,k)=(-1,2)\\\\\\p=vertex-directrix=\dfrac{40}{20}-\dfrac{41}{20}=\dfrac{-1}{20}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{-1}{20})}=\dfrac{1}{-\frac{1}{5}}=-5

Now input a = -5 and (h, k) = (-1, 2) into the equation y = a(x - h)² + k

y = -5(x + 1)² + 2

8 0
3 years ago
What is the difference between independent and conditional probability? Which one requires the use of the Addition Rule? Explain
ch4aika [34]

Answer:

Conditional probability is probability of a second event given a first event has already occurred.

Step-by-step explanation:

6 0
3 years ago
Does anyone know the answer? (I need help ASAP please)
natima [27]

Answer:

  D. (-10, -3), (-3, -10)

Step-by-step explanation:

For a question like this, it is easiest to check the offered answers in the given equations.

The first equation requires the sum of the x- and y-values to be -13. Adding two numbers is pretty easy, so you can rapidly determine that choice D is the only reasonable choice.

_____

<em>Comment on the process</em>

Answering multiple-choice questions is as much about test-taking skill as it is about math skill. First, you eliminate choices that don't answer the question.

Then you see if there is a way to identify the "correct" answer from the remaining "reasonable" answers. Often, that requires you only solve part of the problem, or you check for consistency between parts of the answer. (Here, if (a, b) is an answer, then (b, a) will be the other answer. Again, only choice D has that characteristic.)

You can see if the answer choices satisfy the details of the problem requirements.

Finally, <em>as a last resort</em>, you actually work the problem to determine your own answer to the question. (Here, you can substitute for y: x^2 +(-13-x)^2 = 109, then solve the quadratic, 2x^2 +26x +60 = 0 to find x=-3 or -10.) When you're done with this, you also need to <em>check your answer</em> against the above criteria.

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3 years ago
Quadrilateral P Q R S is shown. Diagonals are drawn from point Q to point S and from point P to point R and intersect at point M
kobusy [5.1K]
Your anwser for your question is QP Qr and Qrs
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