One side of an equilateral triangle is
9x + 13 units long. Another side is 17x - 15
units long. Since all sides are congruent,
what is the value of x?

Answer:

\(n=-\frac{16}{3} (or) -5\frac{1}{3}\) (or) -5.3 repeating

Answer: 20/3 mph or 6.667 mph.

Step-by-step explanation:

Since the athlete runs 1/3 of a mile per 1/20 of an hour, to find how much they run in an hour, you multiply both values by 20 to get: the athlete runs 20/3 miles per 20/20 of an hour, or 20/3 miles per hour.

The required starting and decay from the function is given as -41.5 and 0.32 respectively.

The function which is in format f(x) =aˣ where, a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

here,
Given expression,
y = -41.5(0.68)ˣ, - - - - -1

Transform the above equation into an equation of exponential change,
y = a(1 ± b)ˣ  - - - - - -(2)

Comparing equation 1 and 2
1 + b = 0.68   ; a (starting value)= -41.5
b = -0.32          

where negative b implies the decay,
Decay = 0.32

Thus, the required starting value and decay from the function is given as -41.5 and 0.32 respectively.

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Answer:

25x^10

Step-by-step explanation:

Answer: 25x^10

Step-by-step explanation:

According to the 90° clockwise rotation, the new coordinate of the quadrilateral D' is (3, -2)

Quadrilateral

Quadrilateral refers a closed shape and a type of polygon that has four sides, four vertices and four angles.

If quadrilateral ABCD is rotated 90° clockwise about point A and then reflected across the y-axis to create quadrilateral A’B’C’D’.

Here we need to find the coordinate of D'.

In order to find the new coordinates, first we have to identify the current coordinates of the quadrilateral.

While we looking into the graph, we have identify the point of

A (0,0), B(-4, 3), C(1,5) and D(2,3)

Now, we have to use the rule of clockwise 90° rotation, states that to rotate the figure 90 degrees clockwise about a point, every point(x , y) will rotate to (y, -x).

According to this rule, the new coordinates are written as,

A(0,0) = A'(0,0)

B'(-4,3) = B'(-3,-4)

C(1,5) = C'(5, -1)

D(2,3) = D' (3, -2)

Therefore, the new coordinate of D' is (3, -2).

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Answer:

600$

Step-by-step explanation:

I think this is right

Answer: 28282

Step-by-step explanation:

I think

Answer:

B

Step-by-step explanation:

I think

To compare fractions with like numerators always compare denominators.

We can calculate the LCM of the numerators and then multiply the numerators by the corresponding values to make the numerators of two or more fractions the same or similar. If the numerators are similar or the same, comparisons become simple. Verify the denominators of fractions with comparable or identical numerators. The fraction decreases as the denominator increases. They are referred to as having like or the same numerators when two or more fractions have the same numerators but distinct denominators. While they are referred to as having like or the same denominators when the denominators of two or more fractions are the same.

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The distance between the two boats is approximately 36.06 km.

To find the distance between the two boats A and B, we can use the Pythagorean theorem since they are forming a right triangle with the distance as the hypotenuse.

First, we need to find the length of the sides of the right triangle. We can use trigonometry to do this. Let's call the angle between the North direction and Boat B's path as angle x.

From Boat B's path, we can see that angle x is equal to 60 degrees (since 300° is the same as -60° and we are measuring from the North direction).

Using the cosine rule, we can find the length of the side opposite to angle x:

cos(60) = adjacent / hypotenuse

0.5 = 20 / hypotenuse

hypotenuse = 40 km

Now, we can use the Pythagorean theorem to find the distance between the two boats:

distance = sqrt(30^2 + 40^2) = sqrt(1300) km ≈ 36.06 km

Therefore, the distance between the two boats is approximately 36.06 km.

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The point D is located in quadrant iii. Here we have (-, -)

Answer:

In attachment

Step-by-step explanation:

See the attachment.  They are much easier to solve if you set up a spreadsheet template and then copy that template for each problem.  The inputs would be the two given points for each graph.  Problem 3's slope is undefined, since it is a vertical line and the run is 0, no change in x.  Since slope is "Rise/Run," this is dividing by zero, a No-No for mathematicians, as well as us chemists and other mortals.

Answer:

A im pretty sure

Step-by-step explanation:

mark me brainliest please lol

Answer: 44000

Step-by-step explanation:

From the question, we are informed that the population of Queens increased by 16,075.

Brooklyn's population increased by 11,870 more than the population increase of Queens. This means that Brooklyn's population will be:

= 16075 + 11870

= 27945

The total combined population increase of Queens and Brooklyn from 2010 to 2011 will then be:

= 16075 + 27945

Estimating 16075 gives 16000

Estimating 27945 gives 28000

Adding then together equals

16000 + 28000 = 44000

Answer:

the first one -12 ,3

second -6 ,9

third 0,-6

last -10 , -6

Step-by-step explanation:

FYI: if i get this wrong im very sorry i really tried ;)

~ brainliest ?

We can determine that events A and B are dependent.

Based on the given information, we can determine if the events A and B are dependent or not. Two events are considered dependent if the occurrence of one event affects the probability of the other event occurring.

In this case, we know that the probability of event A occurring given that event B happens is 0.7. This suggests that the occurrence of event B affects the probability of event A occurring. Therefore, we can conclude that events A and B are dependent.

Moreover, we can use the formula for conditional probability to calculate the probability of both events occurring together. The formula states that the probability of A and B occurring together is equal to the probability of A given B multiplied by the probability of B.

P(A and B) = P(A | B) x P(B)
P(A and B) = 0.7 x 0.2
P(A and B) = 0.14

This means that the probability of events A and B occurring together is 0.14, which is relatively low. However, since the events are dependent, it is important to consider the occurrence of event B when calculating the probability of event A.

In conclusion, based on the given information, we can determine that events A and B are dependent, and we can calculate the probability of both events occurring together using the formula for conditional probability.

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Answer:

it's 81 degrees

Step-by-step explanation:

it is equal to other corner

Answer:

2/3

Step-by-step explanation:

8m+5=5m+7

8m-5m+5=7

3m+5=7

3m=7-5

3m=2

m=2/3

Answer:

m=2/3

Step-by-step explanation:

8m+5=5m+7

8m-5m+5=7

3m+5=7

3m=7-5

3m=2

m=2/3

Hope that helps:) Tell me if you need more help.

Answer:

1) x=10   2) x= -7.25

Step-by-step explanation:

Im not sure

The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

To solve the quadratic equation 3x^2 - 9x - 12 = 0, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a),

where a, b, and c are the coefficients of the quadratic equation.

In this case, a = 3, b = -9, and c = -12. Substituting these values into the quadratic formula, we have:

x = (-(-9) ± √((-9)^2 - 4 * 3 * (-12))) / (2 * 3)

= (9 ± √(81 + 144)) / 6

= (9 ± √(225)) / 6

= (9 ± 15) / 6.

We have two possible solutions:

For the positive root:

x = (9 + 15) / 6

= 24 / 6

= 4.

For the negative root:

x = (9 - 15) / 6

= -6 / 6

= -1.

The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

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Two lines are parallel if the have the same slope. To find the slope of the line parallel to the line y=4/7x-2 we need to get the line into slope-intercept form (y = mx + b), but the line is already in that form, so the slope is m = 4/7.

Because two lines are parallel if the have the same slope, we concluded that the slope of the parallel to y=4/7x-2 is m = 4/7.

If a merchant bought an item for $50.00 and sold it for 30% more (markup), the item's selling price was $65.00.

The markup is the percentage or amount by which an item is sold.

The markup is based on the cost price.  After adding the markup amount, the selling price is determined to generate some profits for the seller.

The purchase price of an item = $50.00

The markup = 30%

Markup factor = 1.3 (1 + 0.3)

The selling price of the item = $65.00 ($50.00 x 1.3)

Thus, for adding 30% more (markup) on the cost of the item, the selling price is determined as $65.00.

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(i)  The expression for l in terms of T and g is: \(l = g(T/(2\pi ))^{2}\)

(ii) the length of the pendulum is approximately 0.362 meters

The formula for the time taken for a pendulum to complete one oscillation is given by:

\(T = 2\pi \sqrt{ (l/g)}\)

where l is the length of the pendulum and g is the acceleration due to gravity.

(i) Expressing l in terms of T and g:

We can rearrange the above formula to solve for l:

\(T = 2\pi \sqrt{(l/g)}\)

\(T/(2\pi ) = \sqrt{(l/g)}\)

\((T/(2\pi ))^{2} = l/g\)

\(l = g(T/(2\pi ))^{2}\)

So, the expression for l in terms of T and g is:

\(l = g(T/(2\pi ))^{2}\)

(ii) Finding the length of the pendulum:

We are given that T = 12 seconds for 20 oscillations. So, the time taken for one oscillation is:

T/20 = 12/20 = 0.6 seconds

Substituting this value of T into the formula for l that we obtained in part (i), we get:

\(l = g(T/(2\pi ))^{2}\)

\(l = 10(0.6/(2\pi ))^{2}\)

l = 0.362 m (rounded to 3 decimal places)

Therefore, the length of the pendulum is approximately 0.362 meters if it takes 12 seconds to complete 20 oscillations

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Answer:

Step-by-step explanation:

\(d_{AB}=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\\\d_{AB}=\sqrt{(6+8)^2+(-9-7)^2}=\sqrt{14^2+(-16)^2}=\sqrt{196+256}=\\\\=\sqrt{542}=2\sqrt{113}\approx23.28\)

Answer:

3. is a functions and 4 isnt

Step-by-step explanation:

Answer:56

Step-by-step explanation:

A.  if it repeats it is irrational if it terminates it is rational

Answer:

length of CD = 18 units.

Step-by-step explanation:

In ΔABC and ΔCED,

AB║DE and AD is a transversal line,

m∠ABC = m∠CED [Alternate interior angles]

m∠ACB = m∠DCE [Vertically opposite angles]

ΔABC ~ ΔCED [By AA property of similarity]

Therefore, by the property of similar triangles, corresponding sides will be proportional.

\(\frac{AB}{DE}= \frac{AC}{DC}\)

\(\frac{10}{5}=\frac{12}{CD}\)

CD = 6

Since, AD = AC + CD

AD = 12 + 6

     = 18 units

Therefore, length of CD = 18 units.