All categories

2 years ago

Which expression is equivalent to (10 +7r−r2)+(−6r2−18+5r)

2 answers:

5 0

Answer: -7r^2+12r-8
Explanation;
1. Combine -r^2 and -6r^2 to get -7r^2
2. Subtract 18 from 10 to get -8
3. Combine 7r and 5r to get 12r

vichka [17]2 years ago

4 0

Answer: after adding them -7r^2+12r-8

Step-by-step explanation: add them

You might be interested in

Carter draws one side of equilateral △PQR on the coordinate plane at points P(-3,2) and Q(5,2). Which ordered pair is a possible

Law Incorporation [45]

Step-by-step explanation:

Hey, there!!!

Let me simply explain you about it.

We generally use the distance formula to get the points.

let the point R be (x,y)

As it an equilateral triangle it must have equal distance.

now,

let's find the distance of PQ,

we have, distance formulae is;

$pq = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} }$

$or \: \sqrt{( {5 + 3)}^{2} + ( {2 - 2)}^{2} }$

By simplifying it we get,

$8$

Now,

again finding the distance between PR,

$pr = \sqrt{( {x2 - x1}^{2} + ( {y2 - y1)}^{2} }$

or,

$\sqrt{( {x + 3)}^{2} + ( {y - 2)}^{2} }$

By simplifying it we get,

$= \sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13 }$

now, finding the distance of QR,

$qr = \sqrt{( {x - 5)}^{2} + ( {y - 2)}^{2} }$

or, by simplification we get,

$\sqrt{ {x}^{2} + {y}^{2} - 10x - 4y + 29 }$

now, equating PR and QR,

$\sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13} = \sqrt{ {x}^{2} + {y}^{2} - 10x - 4y + 29 }$

we cancelled the root ,

${x}^{2} + {y}^{2} + 6x - 4y + 13 = {x}^{2} + {y}^{2} -10x - 4y + 29$

or, cancelling all like terms, we get,

6x+13= -10x+29

16x=16

x=16/16

Therefore, x= 1.

now,

equating, PR and PQ,

$\sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13 } = 8}$

cancel the roots,

${x}^{2} + {y}^{2} + 6x - 4y + 13 = 8$

now,

(1)^2+ y^2+6×1-4y+13=8

or, 1+y^2+6-4y+13=8

y^2-4y+13+6+1=8

or, y(y-4)+20=8

or, y(y-4)= -12

either, or,

y= -12 y=8

Therefore, y= (8,-12)

by rounding off both values, we get,

x= 1

y=(8,-12)

So, i think it's (1,8) is your answer..

Hope it helps...

3 0

3 years ago

A triangle has two perpendicular sides that are the same length.

yan [13]

Answer:

isosceles, right

Step-by-step explanation:

perpendicular lines means that they make 90° angle with each other and for a triangle to be isosceles it has to have 2 sides of equal length

8 0

2 years ago

Read 2 more answers

+3=17

aev [14]

Answer:

Step-by-step explanation:

5 0

2 years ago

What is the area of the rectangle

Elis [28]

Answer:

Step-by-step explanation:

Subtract the 2 from the width of 7, and then multiply the height by the width.

4x5=20

8 0

2 years ago

How to evaluate this question

Harlamova29_29 [7]

The answer is 16

Refer image for working :-

Drop comments if any doubt arises.

3 0

2 years ago

Read 2 more answers