which of the expressions are equivalent to the one below? check all that apply.
5 x (8+3)
A. 55
B. 5 x 24
C. 43
D. 5 x 8 + 5 x 3

Answer:

[tex]\frac{\sqrt{5}-\sqrt{2} }{3}[/tex]

Step-by-step explanation:

[tex]\frac{1}{\sqrt{5} + \sqrt{2} }[/tex]

[tex]\frac{1}{\sqrt{5} + \sqrt{2} } * \frac{\sqrt{5} - \sqrt{2} }{\sqrt{5} - \sqrt{2} }[/tex]

[tex]\frac{\sqrt{5} - \sqrt{2} }{(\sqrt5)^{2} - \sqrt{2})^2 } }[/tex]

[tex]\frac{\sqrt{5} - \sqrt{2} }{5-2}[/tex]

[tex]\frac{\sqrt{5}-\sqrt{2} }{3}[/tex]

Answer:

C. LM ≅ JH

Step-by-step explanation:

The criteria that needs to be satisfied before two right triangles can be said to be congruent to each other is by the Hypotenuse-Leg Theorem are:

1. Both must have a corresponding leg that are congruent to each other.

In the diagram given above, NM is congruent to KH. They are corresponding legs that are congruent.

2. The hypotenuse of one triangle must be equal to that of the other.

We are not given if the hypotenuse of one, LM is congruent to the hypotenuse of the other, JH.

Therefore, the additional information required would be:

LM ≅ JH

Answer:40: the amount in dollars that sam owes Daniel. 12: the amount in dollars that sam earns per hour, y variable: the amount in dollars that sam has after paying back Daniel, x variable: the number of hours Sam works at the airport.

Step-by-step explanation:

Answer:

x variable =  represents the number of hours Sam works at the airport

y variable = represents the amount in dollars that Sam has after paying Daniel 

12 = is the amount in dollars that Sam earns per hour

40 = is the amount in dollars Sam owes Daniel

Step-by-step explanation:

Answer:

x=±√7

Step-by-step explanation:

Hi there!

We're given the quadratic equation 6x²-42=0 and we need to find the roots of the equation (the values of x that make the equation true).

So we need to isolate x onto one side.

We can start by adding 42 to both sides

6x²=42

divide both sides by 6

x²=7

Now, take the square root of both sides (remember that when we take the square root, we get both POSITIVE and NEGATIVE answers).

x=√7 and x=-√7 (can be rewritten as x=±√7)

Hope this helps! :)

Answer:

Step-by-step explanation:

6x the ''2'' is supposed to be a exponent  all the time -42=0

6x2 -42 + 42=0 +42 {add 42 to both sides}

6x2=42

6x2                                    42

------fraction brackets =  ------- {divide by 6}

6                                           6

x2 =7

Answer:

45000 cubic cm

Step-by-step explanation:

Capacity of the fuel tank

= 45 litres

= 45/1000 = 0.045 cubic meters

Or 45* 1000 = 45000 cubic cm

Answer:

[tex]g(x)=\sqrt{x+2}[/tex]

Step-by-step explanation:

Parent function of the given graph is,

f(x) = [tex]\sqrt{x}[/tex]

If the parent function is shifted 2 units to he left the new function or image function will be,

g(x) = [tex]\sqrt{x+2}[/tex]

Therefore, graph will represent the graph of the function g(x) = [tex]\sqrt{x+2}[/tex].  

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

25 200 giây

Answer:

Rhombus

Energy used

Step-by-step explanation:

A rhombus is formed fromm the intersection, since the stick have equal length, Hence, all the sides will be equal and the opposite side will be parallel.

If a person exercises more and more, more energy is utilized, the dependemt variable here is the amount of energy utilized because it is the measured variable whose value is based on the amount or level of exercise the body is subjected to. The amount of exercise is the dependent variable as it gives influences the amount of energy expended

Answer: x = 8,-2

Step-by-step explanation:

x^2-6x-16=0

x =[ -(-6)+-sqrt(-6)^2 - 4x1x(-16)/2x1

x = [6+-sqrt 36+64]/2

x = 6+-sqrt 100/2

x = 6 +-10/2

x = 6+10/2, 6-10,2

x = 8, -2

Answer:

Step-by-step explanation:

This is the quadratic equation formula for the roots.

x^2 - 6x - 16 = 0

x = [- (-6) +/- √( (-6)^2 - 4*1*-16) / 2*1

x = (6 +/- √(36 + 64) / 2

x = (6 +/- √(100) / 2

x = (6 +/- 10) / 2

x =  16/2 = 8

x = -4/2 = -2

Answer:

21

Step-by-step explanation:

If lines m and n are equal, line t intersects both of them at the exact same angle. This means that 6x+3=7x-19. Start moving the variables to one side. 3=x-19. Then move the numbers to the other side of the equation. x=21.

The image to the question is attached below.

Answer: The value of EN is 11.2 cm

Step-by-step explanation:

We are given:

The parallelograms ABCD and EFGH are congruent, which simply means

AB = EF

BC = FG

CD = GH   and

AD = EH

Area of ABCD = area of EFGH

Also, opposite sides of a parallelogram are equal. Thus,

AB = EF = CD = GH

BC = FG = AD = EH

It is given:

[tex]AD=10cm=FG\\\\\text{Area of ABCD}=112cm^2=\text{Area of EFGH}[/tex]

To calculate the area of a parallelogram, we use the equation:

[tex]Area=b\times h[/tex]

where, for parallelogram EFGH

b = base = FG = 10 cm

h = height = EN = ?

Area = [tex]112cm^2[/tex]

Plugging values in above equation, we get:

[tex]112cm^2=10cm\times EN\\\\EN=\frac{112cm^2}{10cm}=11.2cm[/tex]

Hence, the value of EN is 11.2 cm

Answer:

p = -29/2

Step-by-step explanation:

2p + 38 = 9

Subtract 38 from each side

2p + 38-38 = 9-38

2p = -29

divide by 2

2p/2 = -29/2

p = -29/2

Answer:

p=-14.5

Step-by-step explanation:

2p + 38 = 9

      -38    -38

2p = -29

[tex]\sqrt{2}[/tex]    [tex]\sqrt{2}[/tex]

p = -14.5

Answer:

The answer is A - 5×9 I think so..

Answer: c

Step-by-step explanation:

In order to be parallel, the slope must be the same. This means slope is 2

Now one of the point is 5,-1, so do 2x5 + x = -1, so x = -11

meaning b is -11

so the equation should be y=2x-11

Answer:

-4350

Step-by-step explanation:

-((58)x(75))=

-(4350) =

-4350

Answer:

No. of sweets = 123

No. of children = 7

then

sweets per children =123/7 =17. 57

Answer: =17.57

Step-by-step explanation:

Divide the no. of sweets by the no. of children

=123/7

=17.57

Answer:

3.16666667 tons

Step-by-step explanation:

hope this helps have a good evening

Answer:

? = 140

Step-by-step explanation:

The rays form a circle, which is 360 degrees

90+ 105+25+? = 360

Combine like terms

220+? = 360

? = 360-220

? = 140

Answer:

(4, 0)

Step-by-step explanation:

D is clearly (1, 2).

so, for D' we have (1+3, 2-2) = (4, 0).

that's it. there is nothing more to it.

Answer:

ok

Step-by-step explanation:

whats the question?

Answer:

B

Step-by-step explanation:

The line goes down 1 and right 4.  

Answer:

Option 2 represents a slope of 1/4.

Answer:

they are similar

Step-by-step explanation:

1.6/1.2=1.3333

2.8/2.1=1.3333

they are similar as their ratios of the legs are equal

Answer:

Answer is B

Step-by-step explanation:

[tex]12x - y = 25 \\ 9x + y = 17 \\ x = \frac{17 - y}{9} \\ 12( \frac{17 - y}{9} ) - y = 25 \\ [/tex]

[tex]\frac{204}{9} - \frac{12}{9} y - y = 25 \\ \frac{204}{9} - \frac{21y}{9} = 25 \\ - \frac{21y}{9} = 25 - \frac{204}{9} \\ - \frac{21y}{9} = 2.33 \\ - 21y = 20.997 \\ y = - 0.99[/tex]

[tex]y = - 1 \\ x = \frac{17 - y}{9} \\ x = \frac{17 - - 1}{9} = \frac{18}{9} \\ x = 2[/tex]

Answer:

The answer is "[tex]\int e^{ax}\ dx=\frac{e^{ax}}{a}+c[/tex]".

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]\int^{m}_{a}\ f(x)\ dx=\frac{1}{2}\\\\f(x)=ke^{-kx}, \ [0, \infty]\\\\[/tex]

let m is the median

[tex]so,\\\\ \int^{m}_{a}\ f(x)\ dx=\frac{1}{2}\\\\\to \int^m_0 k\cdot e^{-kx}=\frac{1}{2}\\\\\to [\frac{k\cdot e^{-kx}}{-k}]^m_0=\frac{1}{2}\\\\\to [- e^{-kx}]^m_0=\frac{1}{2}\\\\\to - e^{-km} +1=\frac{1}{2}\\\\\to e^{-km} =\frac{1}{2}\\\\\to e^{km} =2\\\\\to \ln(e^{km}) =\ln 2\\\\\to km= \ln \ 2\\\\\to m=\frac{\ln \ 2}{k}\\\\ \text{the answer is: } \\\\ \to \int e^{ax}\ dx=\frac{e^{ax}}{a}+c[/tex]

Answer:

a=2

b=10.5

c=4

d=17.5

Step-by-step explanation:

so 3.5 miles per hour and the columns are miles and then hours

so an equation can be 3.5 (mi/hr) * t (time) = distance

so for a): 3.5*t=7

t=2

b) 3.5*3=distance

distance is 10.5

c) 3.5*t=14

t=4

d) 3.5*5=d

d= 17.5

Answer:

74 cm

Step-by-step explanation:

Perimeter Pentagon = 48 + (38 - 12)

48 + 26 = 74

74 cm

If my answer is incorrect, pls correct me!

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-Chetan K