Simplify the expression √48

Answer: X, Y, Z are collinear points on the same segment, Then YZ=2.

                                                                                                                                                                                                                                                                                                                                                                                             Step-by-step explanation:

Collinear points are the points that lie on the same straight line or in a single line. If two or more than two points lie on a line close to or far from each other, then they are said to be collinear, in Euclidean geometry.

X, Y, Z are collinear points on the same segment, and Y is between X and Z.

As given Y is between X and Z

We can write,: YZ+XY=XZ

If, XY=11

XZ=13

Replace XY and XZ values in above equation

So, YZ+XY=XZ

YZ+11=13

Solve to get, YZ=13-11

YZ=2

So,  X, Y, Z are collinear points on the same segment, and Y is between X and Z, use the segment  addition postulate, then YZ=2.

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Using proportions, it is found that the exact value of 41% of 379 is of 155.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The proportion of 41% of 379 is given as follows:

0.41 x 379 = 155.39.

Since 0.39 < 0.5, the exact value is rounded to 155.

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Step-by-step explanation:

the domain is the interval or set of all valid x values.

as we can see, the function goes continuously from all the way to the left (until all eternity to -infinity) all the way to the right (until all eternity to +infinity).

the domain is

-infinity < x < +infinity

the range is the interval or set of all valid y (function result) values.

we see, the lowest y value is -1. and then the function goes on both sides up, up, up in all eternity to +infinity.

the range is

-1 <= y < +infinity

f(x) is decreasing for

-infinity < x < -1

f(x) is increasing for

-1 < x < +infinity

Perimeter = 18 units; Area = 9 sq. units

GH = √(-4-4)²+(1-1)² = 8 units

HI = √(4-0)²+(1+2)² = 5 units

IG = √(0+4)²+(-2-1)² = 5 units

Perimeter of the given triangle = 8+5+5=18 units

Semi-perimeter of triangle = 18÷2=9 units

Using Heron's formula; √[s(s-a)(s-b)(s-c)]=Area of triangle;

A= √(9)(9-8)(9-5)(9-5)

  = √(9)(3)(3)

  = 9 sq. units

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Figure in option A is the figure that represents a rotation of 90° clockwise of the trapezoid

The term rotation refers to the circular movement of an object or something about a point. The point mentioned is also called axis. The movement is circular because it involves turning round.

Rotation may be clockwise or anticlockwise. clockwise is the reverse of anticlockwise, and clockwise involves moving in same direction as the clock is turning,

As regards the trapezium, rotating it clockwise will result to the image depicted by option A

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Answer:

x =(2-√52)/6=(1-√ 13 )/3= -0.869

x =(2+√52)/6=(1+√ 13 )/3= 1.535

it has either 0.868 or -1,85

The possible values for the range of f(x) are given by:

The range of a function f(x) is the set that contains all possible output values for the function. Looking at the graph of the function, the range is composed by the values of y.

In this problem, the function is not given, so I can't give you an exact answer, but since the range is composed by the values of y, the first option is not possible, and the possible values for the range of f(x) are given by:

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Answer:

  y = -3

Step-by-step explanation:

You want the solution to the absolute value equation | y-4 | = | y+10 |.

The absolute value function ...

  f(x) = | x |

is piece-wise defined as ...

  [tex]f(x)=\begin{cases}-x&\text{for }x < 0\\x&\text{for }x\ge 0\end{cases}[/tex]

That is, the function is defined differently for argument values less than 0.

The above observation regarding the absolute value function means the nature of the given equation changes where the absolute value arguments are zero. Those values are ...

  y -4 = 0   ⇒   y = 4

  y +10 = 0   ⇒   y = -10

In other words, the points y = -10 and y = 4 divide the domain of the equation into three parts. The behavior will be different in each of those parts.

To solve the equation, we must examine each region of the domain for possible solutions.

When y < -10, both of the absolute value functions change the sign of their argument. Then the equation is ...

  -(y -4) = -(y +10)

Adding y to both sides of this equation gives ...

  4 = -10 . . . . . false

This means there is no solution to the equation in the region y < -10.

When -10 ≤ y < 4, the absolute value function |y -4| changes the sign of its argument, but the other function does not. In this region, the equation becomes ...

  -(y -4) = (y +10)

  -6 = 2y . . . . . . . . . add y-10 to both sides

  -3 = y . . . . . . . . divide by 2. This value is in the region -10 ≤ y < 4.

The solution to the equation is y = -3.

When 4 ≤ y, neither absolute value function changes the sign of its argument. In this region the equation becomes ...

  y -4 = y +10

Subtracting y from both sides of this equation gives ...

  -4 = 10 . . . . . false

This means there is no solution to the equation in the region 4 ≤ y.

__

Additional comment

The first attached graph shows the given equation rewritten as two functions. The solution is where those functions have equal values: the point(s) where the graphs intersect.

We often find it more convenient to rewrite equations like this to the form f(x) = 0. Here, that might mean we define ...

  f(x) = |y -4| -|y +10|

Then the solution is found on the graph at the x-intercepts. The graph in the second attachment shows this solution, and clearly shows the changes in behavior at x = -10 and x = 4.

Answer:

6m - 8

Step-by-step explanation:

Add all of the sides

2m+1+2m+1+m-5+m-5

Then combine everything

6m - 8

Answer:

1/8

Step-by-step explanation:

(6m^-1n^0)^-3 =

= (6 × 1/3 × (-5)^0)^-3

= (6/3)^-3

= 2^-3

= 1/2^3

= 1/8

Answer:

A: 0.50

B: 2.70

C: 28.20

D: 3.10

E: 2.40

F: 9.90

G: 15.200

H:  1.40

I: 0.80

J: 39.20

K: 2.50

L: 0.80

Here are the first ones

M: 4

N: 4

O: 23

P: 8

Q: 4

R: 53

S: 3

T: 28

U: 11

V: 17

W: 92

X: 25

Y: 8

Z: 3

These are the last ones

Hope you found these helpful! <3

Answer:

the area of the rectangle is A=L•W

The length is 3m less than twice its width W: L+ 3m=2W...->, L=2W-3m

A=L-W

27m²=(2W-3m)-W

27m2=2w2-3m-W

2w2-3wm-27m2=0

....use quadratic formula -(-3m)+ (-3m)²-4-2-(-27m²)

W=

2-2

w=(3m± √9m²+216m²)

w=(3m+ √225m²)

W=(3m± 15m...you need only positive root because width cannot be negative

W= 3m+15m

4

W=. 4

18m

W=4.5m ......now find the L

L=2.4.5m-3m

L=9m-3m

L=6m

Answer:

W = 4.5cm

L = 6cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

create the cartesian system, sign the points, because the new triangle is reflected, so we need to use the straight lines which points on its ends, perpendicular to the x-axis, then we get A(0,-6), B(3,0), C(4,-3)

Given - F(x) = 5 × 3-x

F(-2) refers to x = -2

Therefore 5×3-(-2) = 5× (3+2) = 5×5 = 25

Hence 25 is the value of f(-2)

Answer:

b

Step-by-step explanation:

Trust me

The equation that could be used to determine, m, is 5m = 55.5 - 19. The correct option is C. m = (55.5 - 19)/5

From the question, we are to determine the equation that could be used to determine, m, the average number of miles she would have to ride to meet her goal

From the given information,

"Arianys wants to ride her bicycle 55.5 miles"

and

"She has already ridden 19 miles"

Thus,

The number of miles she needs to ride more is

55.5 miles - 19 miles

= 36.5 miles

If m is the average number of miles she would have to ride for 5 more days to complete her goal,

Then, we can write that  

m = 36.5/5

OR

m = (55.5 - 19)/5

Hence, the equation that could be used to determine, m, is 5m = 55.5 - 19. The correct option is C. m = (55.5 - 19)/5

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Answer:

F=9/5c+32

Step-by-step explanation:

Multiply both sides by 9/5 to cancel out the 5/9 on the right side of the equation. This gives you:

9/5C = F-32

C=F−32

Then add 32 to both sides, giving you:

9/5C + 32 = F

C+32=F

Thus, you have:

F= 9/5C + 32F=

5

9

C+32

Answer:

[tex]F= \frac{9}{5}C + 32[/tex]

Step-by-step explanation:

Multiply both sides by 9/5 to cancel out the 5/9 on the right side of the equation. This gives you:

[tex]\frac{9}{5}C = F-32[/tex]

Then add 32 to both sides, giving you:

[tex]\frac{9}{5}C + 32 = F[/tex]

Thus, you have:

[tex]F= \frac{9}{5}C + 32[/tex]

The solution to the given quadratic equation using the completing the square method is t = -5/2 ±√29/4

Given the quadratic equation expressed as;

t^2+5t−1=0

Add 1 to both sides

t^2+5t−1 + 1 = 0+1

t^2 + 5t = 1

Take the square of half of the coefficient of t to have:

t^2 + 5t + (5/2)^2 = 1 + (5/2)^2

(t+5/2)^2 = 1+25/4

(t+5/2)^2 = 29/4

t + 5/2 = ±√29/4

t = -5/2 ±√29/4

Hence the solution to the given quadratic equation using the completing the square method is t = -5/2 ±√29/4

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Answer:

B. 0,3

Step-by-step explanation:

[tex]\texttt{Identify the zeros of the function}:f(x)=x^2-3x[/tex]

The roots are the x values in which where the graph intersects the x-axis. In order to solve, we will need to find the roots by replacing y with 0. In the end, we will solve for x.

= 0,3

Answer:

No, it is not true.

Perpendicular lines meet one another at 90°​.

Answer:

It is false

Step-by-step explanation:

It is false because perpendicula line meet in 90 degree

Answer:

w= 3 feet

h= 5 feet

Step-by-step explanation:

H=height; W=width=2H-7ft

W=2H-7ft

2H+4W=22ft Substitute for W

2H+4(2H-7ft)=22ft

2H+8H-28ft=22ft Add 28 ft to each side.

10H=50ft

H=5 ft ANSWER 1: The bookshelf is 5 feet high.

W=2H-7ft=2(5ft)-7ft=10ft-7ft=3ft

ANSWER 2: the bookshelf is 3 feet wide.

CHECK:

2H+4W=22ft

2(5ft)+4(3ft)=22ft

10ft+12ft=22ft

22ft=22ft

Hope this helps!

Answer:

27.5 years old

Step-by-step explanation:

We are given the formula: [tex]P=0.006A^{2} -0.02A+120[/tex] relating a patient's pressure to age.

We are also given the value for pressure (P) as 124 mmHg and need to find age (A). In order to do this, we can substitute the value 124 for P in the equation and solve the quadratic equation to obtain A:

[tex]124=0.006A^{2} -0.02A+120[/tex]

1. Set equation to 0 by subtracting 124 from both sides:

[tex]124-124=0.006A^{2} -0.02A+120-124\\= > 0.006A^{2} -0.02A-4=0[/tex]

2. Solve equation using a calculator:

It should give the solutions: [tex]A= 27.54, -24.2[/tex]

It doesn't really make sense for someone's age to be negative, therefore we can accept the positive solution as our answer.

The man whose normal blood pressure measures 124 mmHg is 27.5 years old.

Hope this helped!

An integer to describe 6 meters above the sea level would be [tex]+6[/tex] meters.

As per the question statement, We are supposed to use an integer to describe the following situation "6 meters above sea level".

We assume that sea level is the datum line and anything above that would be positive and below that would be negative.

So 6 meters above the sea level can be described as [tex]=6meters[/tex].

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Answer:

OD

Step-by-step explanation:

move the -8 to the right, and change its sign

x > 5

Answer:

No, 2 is not a solution

Step-by-step explanation:

x - 5>10  Add 5 to both sides of the equations

x > 10  The solutions are all numbers greater than 10.  Two is not greater than 10.

Answer:

this question is wrong .................

Answer:

39÷(5+(4×5÷2) )

39÷(5+(20÷2) )

39÷(5+10)

39÷15

2.6

Answer:  a

Step-by-step explanation: hope it helps.