All categories

3 years ago

10. y2 + y - 20 Find the factor of the trinomial

Mathematics

1 answer:

brilliants [131]3 years ago

3 0

Answer:

(y - 4) (y + 5)

Step-by-step explanation:

(y - 4) (y + 5)

Check the work by foiling

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

4 years ago

The point is on the x-axis and 12 units to the left of the y-axis.

tekilochka [14]

Check the picture below.

7 0

3 years ago

Rehana has some money. After she spends Rs 15, she has three-quarters of the initial amount left. The amount left is

Ray Of Light [21]

The answer is 45, so c

8 0

3 years ago

What is the surface area of the square pyramid?

matrenka [14]

Answer:

sa (surface area) = $a^{2} + 2a$ $\sqrt{x} \frac{a^2}{4} + h^2\\$

Step-by-step explanation:

I hope this helps! Have a fantastic day/night!

3 0

3 years ago

the length of a rectangle is 2 cm more than 5 times the width. The perimeter 196 cm.Find the width and length

blondinia [14]

w(5)+2+w=196

5w+2+w=196

6w+2=196

6w=194

w=32 1/3

4 0

3 years ago