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3 years ago

A rectangular room’s length is 2 feet less than its’ width and the area of the room is 120 ft^2

Mathematics

2 answers:

lisabon 2012 [21]3 years ago

7 0

Step-by-step explanation:

120/W=1

120/W= I

I =W is equal to 10

julia-pushkina [17]3 years ago

3 0

Answer:

a. 120/w = l

120/l = w

b. l times w = 120

Step-by-step explanation:

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When a decimal is written in word form, what indicates that the equivalent form is a mixed number and not a fraction

nignag [31]

If there is a number before the decimal point. So one point five six (1.56) would be have a mixed number of one before the normal fractions ; 1 56/100

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3 years ago

Solve for xxxx plsss

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Answer:

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Step-by-step explanation:

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2 years ago

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2 years ago

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

6 0

3 years ago

Find the missing length

natka813 [3]

Answer:

x = 45

Step-by-step explanation:

Corresponding sides of similar triangles will be in same ratio.

$\dfrac{x}{x+18}=\dfrac{20}{28}$

Cross multiply

x*28 = 20*(x+18) {Use distributive method}

28x = 20x + 360

28x - 20x = 360

8x = 360

x = 360/8

x = 45

3 0

2 years ago