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3 years ago

Consider this expression.

Mathematics

1 answer:

REY [17]3 years ago

4 0

Answer:

What is the quotient of the expression?

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Step-by-step explanation:

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What 2 numbers add to get 2 and multiply to 4

rusak2 [61]

Factor 4
4=1 times 4
2 times 2
they don't add to 2
set up equation
x+y=2
xy=4

first equation, subtract x from both sides
y=2-x
subsitute for y
x(2-x)=4
distribute
2x-x^2=4
add x^2
2x=x^2+4
subtract 2x
0=x^2-2x+4
use quadratic formula which is
if you have ax^2+bx+c=0 then
x= $\frac{ -b+/-\sqrt{b^{2}-4ac} }{2a}$ so

1x^2-2x+4=0
a=1
b=-2
c=4
x= $\frac{ -(-2)+/-\sqrt{(-2)^{2}-4(1)(4)} }{2(1)}$
x= $\frac{ 2+/-\sqrt{4-16} }{2}$
x= $\frac{ 2+/-\sqrt{-12} }{2}$
we have $\sqrt{-12}$ and that doesn't give a real solution
therefor there are no real solutions
but if you want to solve fully
x= $\frac{ 2+/-2\sqrt{-3} }{2}$
i= $\sqrt{-1}$
x= $\frac{ 2+/-2i\sqrt{3} }{2}$
x= $1+/-i\sqrt{3}$
x= $1-i\sqrt{3}$ or x= $1+i\sqrt{3}$ (those are the 2 numbers)

6 0

4 years ago

With which set of information can you construct a unique triangle?

Marina CMI [18]

The answer is the lengths of all the sides/D you welcome

4 0

3 years ago

Ms. Pace walks miles in each hour. How far will Ms. Pace walk in one hour?

Goshia [24]

Answer:

Uh can you please be more specific?

5 0

3 years ago

Lee’s family had a garden in the shape of a right triangle. The total area of the garden is 16 square feet. If they expand the g

pickupchik [31]

If the triangle is increased to twice the base and the height the size will increase by 48 ft²

<h3>How to find the area of a triangle?</h3>

The area of a triangle can be described as follows;

area of a triangle = 1 / 2 bh

where

b = base
h = height

Therefore, the total area of the garden is 16 square feet.

Hence,

16 ft² = 1 / 2 bh

Hence, if the the triangle is increased to twice the base and the height the size will be as follows;

area = (1 / 2) × 2b × 2h

area = 4 × (1 / 2 bh)

area = 4 × 16

area = 64 ft²

Therefore,

difference in area = 64 ft² - 16 ft²

difference in area = 48 ft²

Therefore, if the the triangle is increased to twice the base and the height the size will increase by 48 ft²

learn more on triangle here: brainly.com/question/9593766

#SPJ1

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1 year ago

Grapes are sold by the pound. The table shows the total cost for different weights.

iogann1982 [59]

Answer:

c = 2.46p i did the quiz

7 0

3 years ago

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