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PtichkaEL [24]
3 years ago
14

What must be added to2x² - 3 xy + 5yz to get x² - xy + y²​

Mathematics
1 answer:
Artyom0805 [142]3 years ago
4 0

Answer:

  • -x² + y² + 2xy - 5yz

Step-by-step explanation:

"A" must be added to  first expression to get the second one:

  • A + 2x² - 3 xy + 5yz =  x² - xy + y²​
  • A = ?

------------------------

  • A = x² - xy + y²​ - (2x² - 3 xy + 5yz) =
  • x² - xy + y²​ - 2x² + 3 xy - 5yz=
  • -x² + y² + 2xy - 5yz
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If the zeros of a quadratic equation are<br> 7 and 4, what would be the factors?
Snowcat [4.5K]

Answer:

The factors are (x-7) and (x-4)

Step-by-step explanation:

We are finding the factors of a function from the zeros

The zeros are 7 and 4

We can use the zero product property which is

(x-b)(x-c) = 0  where b and c are the zeros

(x-7) (x-4) =0

The factors are (x-7) and (x-4)

4 0
2 years ago
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On a coordinate plane, a line goes through (negative 3, 2) and (0, 1). A point is at (3, 4). What is the equation of the line th
Novay_Z [31]

Answer:

y=3x-5

Step-by-step explanation:

step 1

Find the slope of the given line

we have

(-3,2) and (0,1)

The slope m is

m=(1-2)/(0+3)=-1/3

step 2

Find the slope of the line perpendicular to the given line

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of its slopes is -1)

so

The slope is

m=3

step 3

Find the equation of the line in point slope form

we have

m=3

point(3,4)

y-4=3(x-3) ----> equation in point slope form

Convert to slope intercept form

y=3x-9+4

y=3x-5

6 0
3 years ago
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What are the areas of each smaller rectangle and the large rectangle?
zhannawk [14.2K]

Answer:

Area of part 1: 3 * 5\sqrt{2} = 15\sqrt{2}

Area of part 2: 3\sqrt{2} * 5\sqrt{2}=30

Area of entire rectangle: 30 + 15\sqrt{2}

Step-by-step explanation:

The area of a rectangle can be found by using formula : length * width.

The area of part 1 can be simplified to this:

3 * 5\sqrt{2} = 15\sqrt{2}

Area of part 2:

3\sqrt{2} * 5\sqrt{2}=30

The area of the entire rectangle can simply be added from part 1 and part 2.

For area 2, remember multiplying the square root of 2 twice nullifies the square root. So it becomes 15 * 2, which is equal to 30.

7 0
3 years ago
Please help me with this question. Thank you so much everyone.
LiRa [457]

Answer:

1159

Step-by-step explanation:

She wants to read 1000 pages per week for five weeks.

So in total she wants to read 1000 * 5 = 5000 pages.

The first three weeks she read 894 pages per week.

So during the first three weeks she read a total of 894 * 3 = 2682 pages.

We want to find how many pages she must read per week for the last two weeks to reach her goal.

Goal: 5000 pages

Pages read so far: 2682

Weeks remaining: 2

To find how many pages she must read for the last two weeks we simply subtract the number of pages she read during the first 3 weeks (2682 ) by her goal ( 5000 )

5000 - 2682 = 2318

So she must read 2318 pages during the last 2 weeks.

If we want to find the amount of pages she must read per week during the last 2 weeks to reach her goal, we simply divide the amount of pages she must read during the last few weeks to reach her goal ( 2318 ) by the number of remaining weeks ( 2 )

2318 / 2 = 1159

So for the last two weeks she must average 1159 pages per week.

8 0
3 years ago
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Do you agree that, "Celebrities and sports figures should not be viewed as positive role models, because they are not always who
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Answer:

over. The

remaining cake is split into 4 equa

Step-by-step explanation:

over. The

remaining cake is split into 4 equa

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