Is the square root of 18 closer to 4 or 5

Answers

Answer 1

Answer: It’s closer to 4 because 18 is closer to 16

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What is the value of x in the equation 4x - 10 = 3x?

Answers

Answer:

x = 10

Step-by-step explanation:

given

4x - 10 = 3x ( subtract 3x from both sides )

4x - 3x - 10 = 3x - 3x ( simplify both sides )

x - 10 = 0 ( add 10 to both sides )

x - 10 + 10 = 0 + 10 , that is

x = 10

What is 1/20 divided by 5/8?

Answers

Answer:

160/5 or 32

Step-by-step explanation:

What do a rectangle and a rhombus have in common? Select all that apply.The opposite sides are parallel.
They have four right angles.
Their angle measures add to 360°.
They have four congruent sides.

Answers

The opposite sides are parallel.
Their angle measures add to 360°

Solve and verify each of the following of linear eequations

2X+3y=432 and 5x-2y=16

Answers

There are 3 available methods- Substitution , Elimination and Matrix.

To solve this linear equations lets use Matrix's.

$\left[\begin{array}{ccc}2&3&432\n5&-2&16\n\end{array}\right]$

$\left[\begin{array}{ccc}2&3&432\n0&-19/2&-1064\n\end{array}\right]$

$\left[\begin{array}{ccc}2&3&432\n0&1&112\n\end{array}\right]$

$\left[\begin{array}{ccc}2&0&96\n0&1&112\n\end{array}\right]$

$\left[\begin{array}{ccc}1&0&48\n0&1&112\n\end{array}\right]$

$x=48$

$y=112$

2x+3y=432 becomes y=-2/3x+144 and 5x-2y=16 which becomes y=5/2x-8

the length of a rectangle is 9 centimeters more than the width. the area is 112 square centimeters. find the length and width of the rectangle

Answers

l = w + 9

lw = 112

Substitute l = w + 9 into the second equation

(w + 9)(w) = 112

w^2 + 9w - 112 = 0
(w+16)(w-7) = 0

w = -16
or
w = 7

we have to take the positive value, so w = 7

l = w + 9
l = 7 + 9
l = 16

The length is 16, and the width is 7

here,
let width(b)be x then,
length (l)=9cm+x
area =112 sq cm
now,
area of rectangle=l*b
or, 112=(9+x)x
or, 112=9x+x^2
or, 0=x^2+9x-112
or, 0=x^2+(16-7)x-112
or, 0=x^2+16x-7x-112
or, 0=x(x+16)-7(x+16)
or, 0=(x-7)(x+16)
either,
0=x-7
or,7=x
x=7cm
Or,
0=x+16
or, -16=x
x= -16[impossible,as distance is never negative] so,
x=7cm
therefore,length = 7cm + 9 cm = 16cm and width = 7cm.
;)

Which function below is the inverse of f(x) = x2 − 9?

Answers

Let f(x)=y
y= $x^(2) -9$
Make x the subject of the formula;
y+9= $x^(2)$
x= $√(y+9)$
So, the inverse of the function is thus;
$f^(') = √(x+9)$

f (x)=y
y=2x-9

X Y
-2 -15 y=2 (-2)-9
y=-4+-9
y=-15

-1 -11 y=2 (-1)-9
y=-2+-9
y=-11

0 -9 y=2 (0)-9
y=0+-9
y=-9

1 -7 y=2 (1)-9
y=2+-9
y=-1

2 -5 y=2 (2)-9
y=4+-9
y=-5

Here is all the work

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