All categories

3 years ago

Slove system of equations y=2x-3 y=x^2-2x-8

Mathematics

1 answer:

Fiesta28 [93]3 years ago

3 0

Answer:

2 solutions:

x=5 and y=7

x=-1 and y=-5

Step-by-step explanation:

y=2x-3

y=x^2-2x-8

y=y so:

2x-3=x^2-2x-8

simplifying to:

x^2-4x-5=0

factoring to:

(x-5)(x+1)=0

x=5 or x=-1

if x=5 then y=2(5)-3=7

if x=-1 then y=2(-1)-3=-5

You might be interested in

Is -36/12 an integer whole number natural rational or irrational ?

jeka57 [31]

Answer:

integer

Step-by-step explanation:

5 0

3 years ago

Find the length of the shorter leg of a right triangle with the longer leg is 9 feet more than the shorter leg the hypotenuse is

Jobisdone [24]

Answer:

Length of Shorter leg = 27 feet

Length of Longer leg = 36 feet

Length of Hypotenuse = 45 feet

Step-by-step explanation:

Given:

Let,

Length of Shorter leg = x,

According to the given condition we have

∴ Length of Longer leg = x + 9 feet

∴ Length of Hypotenuse = 2x - 9 feet

To Find:

Length of Shorter leg = ?

Solution:

Now In Right Angle Triangle, By Pythagoras theorem we have

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

substituting the given values we get

$(2x-9)^{2} = (x)^{2}+(x+9)^{2}\\$

By using Identity (A ± B)² = A² ± 2AB +B² we get

$4x^{2} -36x+81=x^{2} +(x^{2} +18x+81)\\\\4x^{2} -2x^{2} -36x-18x=81-81\\\\2x^{2} -54x=0\\2x(x-27)=0\\2x=0 or x-27=0\\\therefore x\ cannot\ be \ zero\\\therefore x = 27 \feet$

Substituting x=27 we get

∴ Length of Longer leg = x + 9 =27 +9 = 36 feet

∴ Length of Hypotenuse = 2x - 9 = 2×27 -9 = 45 feet

7 0

3 years ago

What is 7 2/3 - 1 1/3

viktelen [127]

Change both fractions into improper fractions then subtract Ans=19/3 R 6 1/3

3 0

3 years ago

Read 2 more answers

Is this rational or irrational?

erica [24]

Answer:

rational

hope it helps.

6 0

3 years ago

Name two integers that have a product between -10 and -15

umka2103 [35]

A product means when they are multiplied together.
I.e. The product of 3 and 4 is 12, because 3 * 7 = 4
i.e. The product of -4 and + 8 is 4, because -4 * 8 = -36

An integer means a whole number like 1, 2, 3, 4, 5, or -1, -2, -3, -4.
i.e. 3.2 is NOT AN INTEGER since there is a decimal

Two integers that have a product between -10 and -15
> Can be -6 and +2 which the product is -12 <em><------- (-6 * +2)
</em>> Can be -7 and +2 which the product is -14 <------- (-7 * -21)
<em>So an answer would be
"-6 and +2" are integers which have a product between -10 and -15
</em>

6 0

4 years ago