Point H is on line segment G I ‾ GI . Given G H = 12 GH=12 and G I = 17 , GI=17, determine the length H I ‾ . HI

Answer:

x = 3, x = 4

Step-by-step explanation:

Given

[tex]\frac{24}{x}[/tex] = 14 - 2x ( multiply through by x , x ≠ 0 )

24 = 14x - 2x² ( subtract 14x - 2x² from both sides )

2x² - 14x + 24 = 0 ( divide through by 2 )

x² - 7x + 12 = 0 ← in standard form

(x - 3)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x - 4 = 0 ⇒ x = 4

Answer:

{2, 4}

Step-by-step explanation:

Intersection of given sets would be {2,4}.

Answer:

C) {2,4}

Step-by-step explanation:

C) {2,4}

The union would be all of them.  The intersection are the ones they have in common.

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{ {x}^{4} + 3 {x}^{3} - 9 {x}^{2} - 12x + 20}}}}[/tex]

Step-by-step explanation:

[tex] \sf{( {x}^{2} - 4)( {x}^{2} + 3x - 5)}[/tex]

Use distributive property

[tex] \dashrightarrow{ \sf{ {x}^{2} ( {x}^{2} + 3x - 5) - 4( {x}^{2} + 3x - 5)}}[/tex]

[tex] \dashrightarrow{ \sf{ {x}^{4} + 3 {x}^{3} - 5 {x}^{2} - 4 {x}^{2} - 12x + 20}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{ {x}^{4} +3 {x}^{3} - 9 {x}^{2} - 12x + 20}}[/tex]

Hope I helped!

Best regards! :D

Answer:

A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational. ... However, numbers like √2 are irrational because it is impossible to express √2 as a ratio of two integers.

The perfect squares are the squares of the whole numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 … Here are the square roots of all the perfect squares from 1 to 100. 1.

Answer:

  10,542,719

Step-by-step explanation:

The circle chart shows you that an estimated 49% of Australia's population has type O blood. Then the number expected to have type O blood is ...

  0.49 × 21,515,754 ≈ 10,542,719

_____

You can choose the correct answer by recognizing that 49% is very slightly less than 1/2, so the number with type O blood will be very slightly less than half of 21 million -- about 10.5 million.

Answer:

38

Step-by-step explanation:

We can express the 8th term as x and the 12th term as y.

This would mean that 8x=12y

Because the common difference between terms is -2 and term 8 and term 12 are 4 terms apart, this means that the 12th term is 8 less than the 8th term, so x-8=y

Now we can use this to substitute y with x in the first equation. This would give us:

8x=12(x-8)

Which we can expand and solve:

8x=12x-96

-4x=-96

Therefore x=24

This means the 8th term is 24 and the 12th term is 16 (24-8).

To test if this is correct we can do:

8x24=12x16

Which indeed are equal, both sides multiply to 192.

Now that we have our 8th term, we can find the 1st term, which is 7 terms away, therefore we just add 14 to the 8th term 24. (7x2=14)

24+14=38.

The first term is 38.

Hope this helped!

Answer:

8.55x10^5 in scientific notation

Answer:

8.55 × 10^5

Step-by-step explanation:

855000 = 855 × 10³

8.55 × 10² × 10³

8.55 × 10²+³

8.55 × 10^5

Answer:

A

Step-by-step explanation:

let r represent rate and d distance.

Given that r varies directly as d² then the equation relating them is

r = kd² ← k is the constant of variation

To find k use the condition r = 4 when d = 15, then

4 = k × 15² = 225k ( divide both sides by 225 )

k = [tex]\frac{4}{225}[/tex]

r = [tex]\frac{4}{225}[/tex] d²  ← equation of variation

When r = 9, then

9 = [tex]\frac{4}{225}[/tex]d² ( multiply both sides by 225 )

2025 = 4d² ( divide both sides by 4 )

506.25 = d² ( take the square root of both sides )

d = [tex]\sqrt{506.25}[/tex] = 22.5 = 22 [tex]\frac{1}{2}[/tex] → A

Answer:

Step-by-step explanation:

Let's calculate 10 pi.

1 pi is about 3.14.

10 pi should be about 31.4.

-31 to -1 is 31 integers.

1 to 31 is 31 more integers.

0 is 1 integer.

31 + 31 = 62

62 + 1 = 63

Hope this helped!

I'm sorry if I misunderstood.

Please mark Brainliest so others can see.

Good luck and try your best everyday :) !

Answer:

Translation, rotation and reflection

Step-by-step explanation:

please brainliest <3

Answer:

D

Step-by-step explanation:

Answer:

c.

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = 2x - 1

x = 2y - 1

2y - 1 = x

2y = x + 1

y = x/2 + 1/2

Answer:254.34 mm2

Step-by-step explanation:

Work Shown:

The outcomes of the cube are {1,2,3,4,5,6}. The outcomes less than 3 are {1,2}. We have 2 outcomes we want out of 6 total, so the probability of getting an outcome less than 3 is 2/6 = 1/3.

The probability of landing on a consonant is 3/4 because there are 3 consonants and 3+1 = 4 letters total

Multiply the two probabilities: (1/3)*(3/4) = (1*3)/(3*4) = 1/4

The probability of getting a dice roll less than 3, and getting a consonant on the spinner, is 1/4.

Using it's concept, it is found that the probability that Riley rolls a number less than 3 and lands on a consonants is given by: [tex]\frac{1}{4}[/tex].

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

The events are independent, hence the probability of both is given by:

P(A and B) = P(A) x P(B) = 1/3 x 3/4 = 1/4.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ2

Answer:

y = 4/5x

Step-by-step explanation:

We know it's not y = x - 2 because if you plug x into the equation, it works for the first one, but not the second one. Ex: 10 - 2 = 8 but 5 - 2 = 3 not 4.

We also know that it can't be y = -5/4x because if you plug x into that equation, it does not equal y.

y = 4/5x because when you plug x into the equation it works.

TLDR basically you just plug x into the equations.

Answer:

The opposite and absolute of -7 is 7

Step-by-step explanation:

-7 is 7 digits away from 0

Answer:

3

Step-by-step explanation:

7 plus three is 10, adding -10 to that equals zero.

The value of x would result in the numerical value of zero in the expression 7+x+(−10) is 3.

Based on the information given, we simply have to find the value of x. Therefore, the value of x from the equation will be:

7 + x + (-10) = 0

Collect like terms

x = 10 - 7

x = 3

Therefore, the value of x would result in the numerical value of zero in the expression 7+x+(−10) will be 3.

Read related link on:

https://brainly.com/question/17345592

Answer:

Line

Step-by-step explanation:

Answer:line

Step-by-step explanation:

Answer:

C

because any of the x-coordinates are repeated than its not a function..

Answer:

1.91%

Step-by-step explanation:

Answer:

The selling price of the house is $144,681

Step-by-step explanation:

The computation of the selling price of the house is shown below:

Let us assume the selling price be x

So, the commission would be 0.06x

Now the danny would received

= x - 0.06x

= 0.94x

And, the amount received is $136,000

So equate this value

Like this

0.94x = $136,000

x = [tex]\frac{\$134,000}{0.94}[/tex]

= $144,681

Hence, the selling price of the house is $144,681

Answer:

First, let's write all the costs:

$4,000 in advertising.

$10,000 in the recording.

$5,50 per cd.

Then we have that the cost will be:

C(x) = $4,000 + $10,000 + $5.50*x

where x is the number of CDs distributed.

C(x) = $5.50*x + $14,000.

Now, they win $7.20 per cd, so the tota wins are:

W(x) = $7.20*x

The profit will be the difference between the total win and the cost:

p(x) = $7,20*x - $5.50*x - $14,000 = $1.7*x - $14,000

Now with this function, we can calculate the number of CDs that the company needs to sell in order to break even, that is when the profit is exactly zero.

P(x) = $0 = $1.7*x - $14,000

$1.7*x = $14,000

x = $14,000/$1.7 = 8,235.3 CDs, that we should round up to 8,236.

This means that the company must sell more than 8,236 if they want to have a positive profit.

Answer:

a) n/4 - 8

Step-by-step explanation:

A quotient is an answer to a division equation, in this case, is n/4

Answer:

24

Step-by-step explanation:

The delivery person can take 24 boxes of books up the elevator at one time. This was my process:

(1140-150) / 40

990 / 40

24.75

But you cannot have three quarters of a box so the final answer would be 24.

Answer:

d

Step-by-step explanation:

As x → + ∞, y → + ∞, as x → - ∞, y → - ∞

This means as x increases to the right, y increases upwards (+ ∞ ) and as x increases to the left, y increases downwards (- ∞ )

Step-by-step explanation:

3x+18+2x-5= -2x+-2+10

combining like terms

3x+2x+2x=5-2+10-18

7x=-5

x=-5/7