Generate an equivalent expression for 24x+18y by factoring out the GCF

Answer:

13.03

Step-by-step explanation:

Suppose ( x₁ , y₁ ) =  ( − 2 , − 4 )  and  (x₂ , y₂ ) = (5 , 7)

In the formula  :  d = √ [( x₂− x₁ )² + ( y₂ − y₁ )²]

Just replace x₁ by -2

       replace y₁ by -4

       replace x₂ by 5 

       replace y₂ by 7

We get ,

d = √ [( 5− (-2) )² + ( 7 − (-4) )²]

Then

d = √ [(7 )² + ( 11 )²]

d = √ [49 + 121]

d = √ [170]

  ≈ 13.03

Answer:

I am not sure but I thing it is -2.

Step-by-step explanation:

Hope it helps! (Please mark brainliest if it does!)

1.6667

Step-by-step explanation:

the lengths are the same on both sides which makes the triangles equilateral

therefore the scale=5/3

=1.6667

Answer:

Einstein went on to present his findings mathematically: energy (E) equals mass (m) times the speed of light (c) squared (2), or E=mc2.

The secret the equation revealed—that mass and energy are different forms of the same thing—had eluded scientists for centuries. 

×

E=mc2

In Einstein's first paper about energy and mass, E=mc2 doesn't actually appear anywhere—he originally wrote the formula as m=L/c2. What happened? Einstein was using "L" (for Lagrangian, a general form of energy) instead of "E" for energy. Later, he replaced "L" with "E," rearranged the variables, and the famous form of the equation emerged.

The implications of E=mc2 are profound. For centuries, scientists had considered energy and mass to be completely distinct and unrelated to each other. Einstein showed that in fact, energy and mass are different forms of the same thing. Einstein himself was surprised by the finding, calling it "amusing and enticing" and wondered "whether the Lord is laughing at it and has played a trick on me."

Answer:

Not true.

Step-by-step explanation:

A  rational function is like P(x) / Q(x) where P and Q are polynomials.

Examples would be x^2 / (x^2 - 2)  and  x^2 / (x^2 + 2).

Now the first one will have a vertical asymptote at x = √2 because this value would make the denominator zero.

The second one will have no asymptotes because the only value that would make x^2 + 2 = zero is not real (it would be √2i). So the domain of this  is all real numbers ,  and  no asymptotes.

Answer:

(-2, 17)

Step-by-step explanation:

the first step you can do to find the vertex is to find the axis of symmetry

the equation for that is -b/2a

-(16) / 2(-4)

-16 / 8 = -2

the axis of symmetry is x =-2 so you plug in -2 to the equation

-4(-2)^2 - 16(-2) + 1

-4(4) + 32 + 1

-16 + 33

17

the vertex is (-2, 17)

Answer:

48/2.40    =    60/360

Step-by-step explanation:

do a proportion chart

Answer:

1

log 10

Step-by-step explanation:

In e = 1

In e = log 10

Hope it helps you in your learning process.

Answer:

it should be over 8 inches long

Step-by-step explanation:

by the instructions

a side of a triangle is 8 inches and other one is 4 inches

and the OPPOSITE of OBTUSE angle is the 3 Rd one

As the Third side which connect the 1st and 2nd side ( of the obtuse angle) it should be over 8 inches.

Answer:

Step-by-step explanation:

Formula (Normal Area Trapezoid)

A = (b1 + b2 ) * h / 2

Formula (Trapezoid Modified for the question)

b1 + b2 is given as 90

Area = 90*h / 2

Givens

b1 + b2 = 90

Area = 1170

h = ?

Solution

Area = 90 * h / 2               Substitute  the givens into the formula

1170 = 90 * h/ 2                 Divide by 2 on the right.

1170 = 45 * h                      Divide both sides by   45

1170 / 45 = 45 * h/45

Answer: h = 45 inches.

Answer:

1000

Step-by-step explanation:

Let's round!

96.8 can be rounded to 100

9.74 can be rounded to 10

100*10=1000

Hope this helps!

The estimated value of the given product is 970. The given product is (96.8×9.74). This is obtained by using the rounding-off method.

The given product is (96.8×9.74)

Here the first decimal number in the product is 96.8

Since the digit after the decimal point 8 is nearer to the value of 10, it is rounded to 97. I.e., 96.8≅97

And the second decimal number is 9.74

Since the digit after the decimal 7is nearer to the value of 10, it is rounded to 10. I.e., 9.74≅10

So, the product is  97×10=970

Thus, 96.8×9.74≅970 (approx.)

Therefore, the estimated value is 970.

Learn more about estimation here:

https://brainly.com/question/3639595

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Part A

[tex]\sf{ change \ of \ base \sf \ : \ \ \ \log _{b} a=\dfrac{\log _{d} a}{\log _{d} b}}[/tex]

Part B

Some common choices for base:

Part C

[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{\log _{3} 3}{\log _{3} 2}}[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{1}{0.631}}[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{1}{0.630929}}[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3=1.584962501[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3 = 1.58[/tex]

1.58 is the value when rounded to nearest hundredth.

9(x+6)

Hope it helps.

Do comment if you have any query.

Answer:

the top one on the right

Step-by-step explanation:

i used desmos graphing calculator

Answer:

y=3x

Step-by-step explanation:

Answer:

y = 3x

Step-by-step explanation:

subtract 6x to the other side

divide by -2

there is no y-intercept because it's 0

The percent of the utterances in the sample need to be 1 word in length is 13.3%.

Your information is incomplete. Therefore, an overview will be given. Let's assume that the number if 1 word is 12 and the total number of words given is 90.

Therefore, the percentage will be:

= 1 word/Total words × 100

= 12/90 × 100.

= 13.3%

In conclusion, the percentage is 13.3%.

Learn more about percentages on:

https://brainly.com/question/24877689

Answer:

75 physiology Textbook was sold and 150 sociology textbook was sold

Step-by-step explanation:

Let x represent textbook

2x + x = 225

⇒3x = 225

⇒[tex] \sf \frac{\sout{3}x}{\sout{3}} = \frac{225}{3}[/tex]

⇒x = 75

75 textbooks for physiology

To find How many textbook for sociology

Multiply 2 by the amount of physiology

⇒2 × 75

⇒150 sociology textbook

Answer:

let the number be x.

(x+6)/10 = 3

x+6 = 30

x =24

Answer:

(2, 4)

Step-by-step explanation:

A reflection across the y-axis, will simply change the sign of your x-coordinate to positive rather than negative, this gives you a new point (2,4).

Answer:

The answer is C

Step-by-step explanation:

Answer:

See below ↓

Step-by-step explanation:

Our equation :

(A) Infinitely Many Solutions

(B) No solution

(C) One solution at (4, 3)

I have no idea thank me for my help

Answer:

b. translation; four units left and six units down

Answer:

Step-by-step explanation:

Givens

These are the givens for the second line. The second line also has m (same value) as the x coordinate of one of the points. I'm not sure why you are given the first line.

x1  = - 1

x2 = m

y1 = - 2

y2 = 10

Second line formula for m

m = (y2 - y1) / (x2 - x1)            Substitute values for this equation

Solution

Note that the m you seek is both the slope of the second line, and the x  coordinate of one of the points.

m = (10 -  - 2) / (m - - 1)           Change the double minus, and combine

m = 12 / (m + 1)                       Multiply both sides by (m + 1)

m(m+1) = 12                             Remove the brackets

m^2 + m = 12                          Subtract 12 from both sides.

m^2 + m - 12 = 0                    Factor

(m + 4)(m - 3) = 0

We are told that m >0

So m- 3 = 0

m = 3

Answer

The value for m = 3. The first line also has a slope of 3

Answer:

49(1) - 2 =

49x1=49

49 - 2 = 47 is your answer

Answer:

47

__________________________________________________________

If the variable, x has an assigned value, you must multiply the number behind x by the assigned value.

[tex]49 * 1 = 49[/tex]

Lastly, subtract by 2

[tex]49 - 2 = 47[/tex]

________________________________________________________

Ask me in the comments box.

4 hours

T= d/s

= 2720/680

= 4

Hope this helps!

Answer:

219.8 yd

Step-by-step explanation:

Circumference Formula= πd or 2πr

Plug in the values. The diameter of this circle is 70 yds.

70(3.14) (replace 3.14 for π)

70*3.14=219.8 yds

Hope this helps ^^