Point B Is on AC. What is the length of AB if AC=22 and BC=13?

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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A) The Slope is: 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is: y = 2x + 4

The general form of equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the given graph, we can see that the slope is gotten from the formula:

A) Slope = (y₂ - y₁)/(x₂ - x₁)

Thus:

Slope = (10 - 4)/(3 - 0)

Slope = 6/3

Slope = 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is:

y = 2x + 4

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The length of the hypotenuse of the triangle is b = x√2 units

Given data ,

Let the triangle be represented as ΔABC

And , the triangle is a 45 - 45 - 90 triangle

So , the two legs are congruent to one another and the non-right angles are both equal to 45 degrees

And , the sides are in the proportion x : x : x√2

Now , the length of the sides of the triangle are

The measure of base BC = a units = x

The measure of height AB = c units = x

So , the measure of the hypotenuse of the triangle is = x√2 units

Hence , the triangle is solved and hypotenuse AC = x√2 units

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Answer:

25

Step-by-step explanation:

l x w = h

25 x 7.2 = 180

Answer:

4*10 = 40

43/5 = 8.6

40 + 8.6 = 48.6 candy in total.

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Using L'hopital we can see that the limit is equal to 1/22

Here we want to take the limit of x tending to zero for x/sin(22x)

Notice that when x = 0, both numerator and denominator are zero, so we need to take the limit of the first derivatives, for:

y = x

y' = 1

And for:

y = sin(22x)

y' = 22*cos(22x)

Now taking the limit we will get:

\(\lim_{x \to 0} \frac{1}{22cos(22x)} = \frac{1}{22cos(0)} = 1/22\)

That is the value of the limit.

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(4,-8)

Step-by-step explanation:

from -5 to -1 you would have to count from 1 to 4. and do the same for -8 to -16

Answer:

B. Positive linear

Step-by-step explanation:

First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive

Answer:

164=82+82 or 164=82 x 2

Step-by-step explanation:

Hope that works

Answer: about 0.41

Step-by-step explanation:

Use calculator

\(arcsin=sin^{-1}x\\\\\boxed{sin^{-1}(0.4) = 0.41151684}\)

The population of the country will be 796 million approximately in the year 2022.

To find when the population of the country will be 796 million, we can set the equation equal to 796 and solve for t:

\(A = 433.4e^{(0.032t)}\\796 = 433.4e^{(0.032t)}\)

Divide both sides by 433.4:

\(e^{(0.032t)} = 1.836\)

Take the natural logarithm of both sides:

\(ln(e^{(0.032t)}) = ln(1.836)\)

0.032t = 0.605

Divide both sides by 0.032:

t = 18.91

Therefore, the population of the country will be 796 million approximately 19 years after 2003. To find the year, we add 19 to 2003:

2003 + 19 = 2022

Therefore, the population of the country will be 796 million approximately in the year 2022.

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Answer:B

Step-by-step explanation:

5x+15=55

5x=40

x=8

Answer:

The answer is B. the percent decrease is 16%

Step-by-step explanation:

Multiple 16% by 5000 and you'll get 800

Answer:

The answer is 16%

Step-by-step explanation:

800/5000 x 100

= 16%

Answer:

- Erkan is out of control and kicks and rants at the nursing staff.

- Michelle is a young high school girl and feels that everyone mistrusts her due to her youth.

- Michelle wears a football jersey and jeans to her internship at the nursing home.

S

The statements that development the theme mentioned are; 2. Michelle join Erkan in his own world instead of avoiding him. 3. Erkan's face brightens in a smile as soon as Michelle rushes to his side.

Contingency is a statement in which there are some true and some false values for every value of its propositional variables.

From the given five statements presented under the problem, the two that present development on the theme mentioned at the beggining are to be considered correct:

Second Statement implies that Michelle learned enough from Erkan's history and personality, and despite any possible misconceptions, she ended up sympathizing with him. So, a hanging bond was created from Michelle's side.

Statement 3 has a connection with the statement 2.

Statements 1 and 5 cannot be considered correct, the lack of confidence Erkan demonstrates towards the people surrounding him at the nursing home.

Statement 4 that presents no bond creation, rather an event occurred during Erkan's lifetime.

The statements that development the theme mentioned are; 2. Michelle join Erkan in his own world instead of avoiding him. 3. Erkan's face brightens in a smile as soon as Michelle rushes to his side.

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Answer:

Step-by-step explanation:

Isosceles triangle, so bisecting angle KLM makes two right triangles of base 10/2 = 5 and hypotenuse of 13

13² = 5² + h²

h = 12

Area  of the isosceles triangle is twice the area of one right triangle

A = 2(½)bh = bh = 5(12) = 60 in²

Answer:

100

Step-by-step explanation:

You're correct :) good job

Answer:

?

Step-by-step explanation:

The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

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The length of the hypotenuse AB is given as follows:

AB = 29.

The trigonometric ratios for angle A are given as follows:

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

Applying the Pythagorean Theorem, the length of the hypotenuse is given as follows:

h² = 20² + 21²

\(h = \sqrt{20^2 + 21^2}\)

h = AB = 29.

Angle A is adjacent to the side of length 20 and opposite to the side of length 21, hence the ratios are given as follows:

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When x = 13, the equation that is true is option D) 5(x - 9) = 20.

To determine which equation is true when x = 13, we can substitute the value of x into each equation and see which equation holds true. Let's go through each option:

A) 3(18 - x) = 67

Substituting x = 13:

3(18 - 13) = 67

3(5) = 67

15 = 67

The equation is not true when x = 13. Therefore, option A is false.

B) 4(9x) = 23

Substituting x = 13:

4(9*13) = 23

4(117) = 23

468 = 23

Again, the equation is not true when x = 13. Therefore, option B is also false.

C) 2(x - 3) = 7

Substituting x = 13:

2(13 - 3) = 7

2(10) = 7

20 = 7

Once again, the equation is not true when x = 13. Therefore, option C is false as well.

D) 5(x - 9) = 20

Substituting x = 13:

5(13 - 9) = 20

5(4) = 20

20 = 20

Finally, the equation is true when x = 13. Therefore, option D is true.

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Note: the translated questions is

X = 13, which equation is true?

Answer:

y = x - 3

y = -5x + 2

Step-by-step explanation: For y=x-3  the "missing" coefficient of x (m in the y=mx+b format) is an implied +1. So the slope is "up-one & over one." y-intercept is -3

y = -5x +2   The slope is -5 so "down 5 & over 1" on the graph, The y-intercept is +2

Answer:

x=1/2

Step-by-step explanation:

Answer:

remainder = 6

Step-by-step explanation:

Hope it helps.....

On solving the provided question, by the help of BODMAS we can say that - Subtract 22 from both sides is the answer to the given question.

BODMAS and PEDMAS are both names for it in various places. This stands for exponents, parenthesis, division, multiplication, addition, and subtraction. The BODMAS rule states that parentheses must be answered before powers or roots (that is, of), divisions, multiplications, additions, and lastly subtractions. The BODMAS rule states that the degree (52 = 25), parenthesis (2 + 4 = 6), any division or multiplication (3 x 6 (bracket response) = 18), and any addition or subtraction (18 + 25 = 43) come before any other operations.

\(f/3 +22 = 17\)

\(f/3 +22 -22 = 17 -22\) Subtracting the same value from both sides keeps the equation equal.  

Then simplify. The \(+22 and -22= 0\) They "cancel"   \(17-22 = -5\)

\(f/3 = -17 f/3\) is now isolated-- by itself-- in the equation.

If we have to solve  f, the next step we to take is to multiply on the both sides by  3.

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Answer:

The equation of the circle with a diameter of 14 and whose center is (-4,6) is  \(x^{2}+y^2+8x-12y+3=0\)

Step-by-step explanation:

Given that diameter is 14. So, the radius is 14/2 which is equal to 7.

Also, the center is (-4,6).

We know that the equation of a circle with center (h,k) and radius r units is

\((x - h)^2+(y-k)^2=r^2 .\)

Here, h=-4, k=6 and r=7.

Putting these values in the above equation,

\((x - (-4))^2+(y-6)^2=7^2 .\)

\((x +4)^2+(y-6)^2=49 .\)

On solving, the equation of the circle is

\(x^2+y^2+8x+-12y+3=0\).

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