MATHEMATICS HIGH SCHOOL

What is the value of x, given that modifying above upper P upper Q with bar parallel to modifying above upper B upper C with bar ? The figure is triangle A B C with a segment from point P on segment A B to point Q on segment A C. Segment A P equals 9. Segment P B equals 18. Segment A Q equals x. Segment Q C equals 10.

Answers

Answer 1
Answer:

After addressing the issue at hand, we can state that As a result, the equation value of x is roughly 10.57 units (rounded to two decimal places).

What is equation?

An equation is a mathematical proclamation that proves the equality of two expressions capable of connecting through an equal sign '='. For instance, 2x - 5 = 13. Explanations include 2x-5 and 13. The '=' symbol links up the two expressions. A mathematical formula containing two formulas on either side of a =) (=) is known as an equation. It depicts the equivalence relationship between left and right methodologies. L.H.S. = R.H.S. (left edge = top half) in any formula.

Using the information provided, we can construct the following equation based on the concept of similar triangles:

x/(9+18) = 10/(BC) (BC)

9 + 18 = 27 = AB = AP + PB

Because triangle ABC is a right triangle (angle B is 90 degrees), we can apply the Pythagorean theorem to calculate the length of segment BC:

BC2 = AB2 - AC2 BC2 = 272 - 102 BC2 = 649 BC = sqrt (649)

When we plug this value into our original equation, we get:

x/(9+18) = 10/sqrt (649)

When we simplify, we get:

x/27 = 10/sqrt (649)

When we multiply both sides by 27, we get:

x = 270/sqrt (649)

As a result, the value of x is roughly 10.57 units (rounded to two decimal places).

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The newspaper in Haventown had a circulation of 80,000 papers in the year 2000. In 2010, the circulation was 50,000. With x = 0 representing the year 2000, the graph below models this scenario.

Answers

What number will complete the point-slope equation that models this scenario?

y -50,000 =______(x -10)

A.) -3,000

B.) -2,000

C.) 2,000

D.) 3000

Answer :A.) -3,000

x = 0 representing the year 2000, circulation was 80,000.

x =10 representing the year 2010,circulation was 50,000.

Point slope equation is

y-y_1=m(x-x_1), where m is the slope and (x1,y1) is one of the point

We have two points, (0,80000)  and (10,50000)

Now we need to find slope (m)

m =(y_2 - y_1)/(x_2-x_1)=(50000-80000)/(10-0) =(-30000)/(10) = -3000

So answer is y -50,000 =-3000(x -10)
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Which problems will have two decimal places in the product? Mark all that apply.Group of answer choices

3 × 0.65

4.8 × 2

8.1 × 10

6.1 × 7.3

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Answers

Answer:

48. x 2

Step-by-step explanation:

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Consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number, that many points will be added to the player’s total. Any other roll will be deducted from the player’s total. What is the expected value of the points earned on a single roll in this game?

Answers

The expected value of the points earned on a single roll in the game would take into account the probability of the numbers of the cube and whether or not they're prime. If the cube is a dice with numbers 1 to 6, then the expected value of the points would be:
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Solve h = −16t2 + 36t + 4.

Answers

I can do each of the things I asked above.
So, let's change this into vertex form:
h=-16t^2+36t+4
h=(-16t^2+36t)+4
h=-16(t^2-2.25t)+4
h=-16(t^2-2.25t+1.27-1.27)+4
h=-16(t^2-2.25t+1.27)+20.32+4
h=-16(t-1.125)^2+24.32
The vertex is at (1.125,24.32)
Answers may vary due to rounding

Factored Form:
h = -16t^2 + 36t + 4
h = -4\left(4t^2-9t-1\right)

Quadratic Formula:
x = (-b +/- √(b^2-4(a)(c)))/(2a)
h = -16t^2 + 36t + 4
a = -16 b = 36 c = 4
h = (-(36) +/- √((36)^2-4(-16)(4)))/(2(-16))
h = (-36 +/- √(1552))/(-32)
h = ≈-0.11
h = ≈2.36

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Answers

X represents the cost of the phone bill

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5x = 150
X = (150/5)
X = 30

Therefore the telephone is $30 and the utility bill is $120

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Answers

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