Points F, G and H are collinear. If GH = 16, what is FH?

Answer:

mid point (x,y) = M (18, 24)

let J (- 4, - 2) be ( x1, y1)

     L(a,b) be (x2,y2)

using midpoint formula

(x,y) = [(x1+x2)/2, (y1 + y2)/2]

or, (18, 24) = [(-4+a)/2, (-2+b)/2]

comparing corresponding element we get

18 = (-4+a)/2                 24 =(-2+b)/2

or 36 = -4+ a            or 48 = -2 +b

or a = 40                  or b= 50

L(40,50)

Answer: (x^b)^a

Step-by-step explanation:

the inverse of a monomial with an exponent raised to another power will give the same product if you flip the exponents.

Here we have a general rule for exponents.

We will find that:

[tex](x^a)^b = x^{a*b}[/tex]

To get this, we can first check it with some values for the exponents.

a = 2

b = 3

[tex](x^2)^3 = (x^2)*(x^2)*(x^2) = (x*x)*(x*x)*(x*x) = x^6 = x^{2*3}[/tex]

Similarly, we can prove it for two general values of a and b:

[tex](x^a)^b = (x^a)*(x^a)*...*(x^a)\\b\ times[/tex]

Now each one of these parentheses has a multiplying by itself a times.

So when we write all the x's, we will see that there are a total of b*a x's

Thus we will have:

[tex](x^a)^b = (x^a)*(x^a)*...*(x^a) = x^{a*b}[/tex]

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Answer:

We can think of it as the zeros after the decimal point.

Step-by-step explanation:

Negative exponents always move the number to the right putting the decimal in front of it.

Answer:

0.007 hour or 25.2 seconds

Step-by-step explanation:

From the question, we are told that for Scott Dixon,he completed

500 laps in approximately = 3.5 hours. 1 lap approximately =

Cross Multiply

= 1 lap × 3.5 hours = 500 laps × a hours

a hours = 1 lap × 3.5 hours/500 laps

a hours = 0.007hours

We can convert 0.007 hours to seconds

60 seconds = 1 minute

60 minutes = 1 hour

1 hour = 60 × 60

= 3600 seconds

1 hour = 3600 seconds

0.007 hour =

0.007 hour × 3600 seconds

= 25.2 seconds

Therefore, it took Dixon approximately 0.007 hour or 25.2 seconds did it take for him to complete 1 lap

Answer:

the answer is debt

Step-by-step explanation:

Answer:

162

Step-by-step explanation:

9 * 18 = 162

Answer:

162

Step-by-step explanation:

Answer:

Step-by-step explanation:

Should be 5,-2 OR NOT

Answer:

i dont understand the question

Step-by-step explanation:

Answer:

(42+16)/2 = 29

Step-by-step explanation:

an expression contains operations and values

half the sum of 42 and 16

(42+16)/2 = x

(42+16)/2 = 29

Answer:

The answer is 0.01201778632

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

it is D i did this quiz before.

Answer:

[tex]\frac{4\sqrt{6}-\sqrt{15}}{27}[/tex]

Step-by-step explanation:

[tex]\frac{\sqrt{6} }{8+\sqrt{10} } \\\\\mathrm{Multiply\:by\:the\:conjugate}\:\frac{8-\sqrt{10}}{8-\sqrt{10}}\\=\frac{\sqrt{6}\left(8-\sqrt{10}\right)}{\left(8+\sqrt{10}\right)\left(8-\sqrt{10}\right)}\\\\\sqrt{6}\left(8-\sqrt{10}\right)=8\sqrt{6}-2\sqrt{15}\\\left(8+\sqrt{10}\right)\left(8-\sqrt{10}\right)=54\\\\=\frac{8\sqrt{6}-2\sqrt{15}}{54}\\\\\mathrm{Factor}\:8\sqrt{6}-2\sqrt{15}:\quad 2\left(4\sqrt{6}-\sqrt{15}\right)\\\\=\frac{2\left(4\sqrt{6}-\sqrt{15}\right)}{54}\\[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:2\\\\=\frac{4\sqrt{6}-\sqrt{15}}{27}[/tex]

Answer: D- multiply divide both sides by the same variable expression. B- no

Step-by-step explanation:

Multiply/divide both sides by the same variable expression. The correct option is D.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression will be solved as below:-

5x = 3x

Multiply both sides of the expression by (1/x ).

( 1/x ) 5x = ( 1/x )3x

5 = 3

Divide both sides by x.

5x = 3x

5x /  x = 3x / x

5 = 3

Therefore, multiply/divide both sides by the same variable expression. The correct option is D.

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The answer to your problem would be 8.

Answer:

Step-by-step explanation:

18y

Step-by-step explanation:

Hey there!!

I hope you remember that mid-segment theorem, in which it is stated that, line which passes through the midpoint of one side triangle bisects base, are parallel to another side of triangle and that line is half of parallel side. (i.e CB = 1/2 of RT) .

Now, Let's simply solve it.

[tex]cb = \frac{1}{2} \times rt[/tex]

Put their values as given in question.

[tex]x + 19 = \frac{1}{2} \times (x + 29)[/tex]

Simplify them.

2x + 38 = x +29

2x - x = 29 - 38

x = -9.

Hope it helps...

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the dimension of the prism is not given. However, the following steps can serve as a guide for you.

The volume of a rectangular prism is calculated as thus:

[tex]Volume = Length * Width * Height[/tex]

So, Take for instance

[tex]Length = 2\ in[/tex]

[tex]Width = 3\ in[/tex]

[tex]Height = 4\ in[/tex]

The Volume would be:

[tex]Volume = 2\ in * 3\ in * 4\ in[/tex]

[tex]Volume = 24\ in^3[/tex]

Answer:

48.75

Step-by-step explanation:

All you haft to do really is 3.25 x 15 and you get 48.75, Because she spent 3.25 on each balloon and she has 15 friends. So 15 friends multiplied by 3.25 gets you 48.75 she spent total.

Answer:

$48.75

Step-by-step explanation:

3.25 x 15 = 48.75

I hope this helps :)

Answer:

Step-by-step explanation:

$31.20/24

24 roses = 2 dozen roses

Each rose cost $1.30

PLEASE GIVE BRAINLIST

1. 6,4x10^1

2. 1,9x10^1

^ = exponent

HOPE THIS HELPED

Answer:

Its Graph B

Step-by-step explanation:

I got the quiz correct

Answer:

its c

Step-by-step explanation:

Graph D represents the inequality of the given Equation.

An inequality shows whether one value is less than, greater than, or simply not equal to another value by comparing them.

When two quantities are equal, we use the symbol "=," and when they are not equal, we use the symbol "≠". The first value can either be greater than (>) or less than (<).

Given equation 1/3(9x+27) > x+33

simplify the Equation

multiply both sides by 3 we get,

[1/3(9x+27)] 3 > (x+33)3

9x + 27 > 3x + 99

9x > 3x + 99 -27

9x - 3x > 72

6x > 72

x > 12

the Equation of inequality is x > 12

the line will be more than 12 and in which 12 is not included,

option D follows the required conditions, the empty circle in 12 shows 12 is not included and the line moves towards the positive side.

Hence option D is the correct representation of the given inequality.

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Answer:

Step-by-step explanation:

Begin at the end. By this I mean to start at the end of that expression and work your way backwards to the beginning. "The difference of t and 8" looks like this: t - 8. "2/3 of" means we are multiplying (the word "of" means to multiply): 2/3(t - 8) is your algebraic translation of that expression.

The required mathematical expression of a statement is 2 / 3 (t - 8 ).

Given that,
To transform the statement into the mathematical form,
2/3 of the difference between a number t and 8

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
given statement,
2/3 of the difference between a number t and 8
implies,
The difference between t and 8 is,
= t - 8
Now the difference is 2/3, now the statement become,
= 2 / 3 (t - 8 )
above equation is the required mathematical expression.

Thus, the required mathematical expression of a statement is 2 / 3 (t - 8 ).

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Answer:

f(5) = 9

Step-by-step explanation:

To evaluate f(5) substitute x = 5 into f(x), that is

f(5) = (5 - 2)² = 3² = 9

Answer:

Step-by-step explanation:

f(x) = ( x - 2)²

To find f(5) substitute the value of x that's 5 into f(x). That's for every x in f (x) replace it with 5

That's

f(5) = ( 5 - 2)²

= 3²

We have the final answer as

Hope this helps you

Answer:

<LKM and <MKN

<PKO and <LKM

Step-by-step explanation:

<LKM and <MKN = 90°

<PKO and <LKM = 90°

1. Answer: = -6

2. Answer:= 25

3. Answer:= -5.7

4. Answer:= -7.6

5. Answer:= 42

6 . Answer:= 3 r 14

7. Answer:= 1 r 16 r 45

8. Answer := 13 r 36

9. Answer:= 11 r 11 r 24

.

Answer:

270°

Step-by-step explanation:

[tex]m\widehat{BC} = 360\degree - (146\degree + 90\degree) \\

m\widehat{BC} = 360\degree -236\degree \\

m\widehat{BC} = 124\degree \\\\

m\widehat{ABC} =m\widehat {AB} + m\widehat {BC} \\

m\widehat{ABC} =146\degree + 124\degree \\

\huge \red {\boxed {m\widehat{ABC} =270\degree}} \\

[/tex]

Answer:

B. BAD

Step-by-step explanation: