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3 years ago

Whenever 2 line or intersect at 90 the 2 lines are said to be ?

Mathematics

2 answers:

Sedaia [141]3 years ago

7 0

Two lines that intersect at 90 degrees are considered perpendicular to each other.

Lelechka [254]3 years ago

5 0

Perpendicular to each other.

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Using a graphing utility, find the exact solutions of the system. Round to the nearest hundredth and choose a solution to the sy

Margaret [11]

Answer:

Part 1) The exact solutions are

$(\frac{-1+\sqrt{21}} {2},4+\sqrt{21})$ and $(\frac{-1-\sqrt{21}} {2},4-\sqrt{21})$

Part 2) (1.79, 8.58)

Step-by-step explanation:

we have

$y=x^{2} +3x$ ----> equation A

$y=2x+5$ ----> equation B

we know that

When solving the system of equations by graphing, the solution of the system is the intersection points both graphs

Find the exact solutions of the system

equate equation A and equation B

$x^{2} +3x=2x+5\\x^{2} +3x-2x-5=0\\x^{2} +x-5=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2} +x-5=0$

$a=1\\b=1\\c=-5$

substitute in the formula

$x=\frac{-1\pm\sqrt{1^{2}-4(1)(-5)}} {2(1)}$

$x=\frac{-1\pm\sqrt{21}} {2}$

The solutions are

$x_1=\frac{-1+\sqrt{21}} {2}$

$x_2=\frac{-1-\sqrt{21}} {2}$

Find the values of y

First solution

For $x_1=\frac{-1+\sqrt{21}} {2}$

$y=2(\frac{-1+\sqrt{21}} {2})+5$

$y=-1+\sqrt{21}+5\\\\y=4+\sqrt{21}$

The first solution is the point $(\frac{-1+\sqrt{21}} {2},4+\sqrt{21})$

Second solution

For $x_2=\frac{-1-\sqrt{21}} {2}$

$y=2(\frac{-1-\sqrt{21}} {2})+5$

$y=-1-\sqrt{21}+5\\\\y=4-\sqrt{21}$

The second solution is the point $(\frac{-1-\sqrt{21}} {2},4-\sqrt{21})$

Round to the nearest hundredth

First solution

$(\frac{-1+\sqrt{21}} {2},4+\sqrt{21})$ -----> $(1.79,8.58)$

$(\frac{-1-\sqrt{21}} {2},4-\sqrt{21})$ -----> $(-2.79,-0.58)$

see the attached figure to better understand the problem

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3 years ago

42 =3(2 – 3h) how do you distributive property

ivann1987 [24]

Answer:

h = -4

Step-by-step explanation:

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3 years ago

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there tiger barbs in a 15 gallon aquarium and giant dani is in a 30 gallon aquarium.what numerical expression to represent the g

Eva8 [605]

The numerical expression that represents the total number is parentheses 15 divided by 3 plus parentheses 30 divided by 5

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3 years ago

12 divided by 1 1/5 = ? IN lowest TERM

kompoz [17]

Answer:

12 divided by 1 1/5 = 60/11 in lowest term

I hope this helps you.

Step-by-step explanation:

Simplify the expression.

5 0

3 years ago

Can someone please help me??????????

madam [21]

I hoped this help c 0.43

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3 years ago