M = I1+I₂ 31 +32 2 Now let's substitute in our given values. (-2 , 2) = ((-5 Find 2 and y2 We will now set up two equations to solve for our two unknowns of x2 and y₂. (-5 X2 (-5+₂) -5+22), (7+)) 2 - +₂)/2 = We will first want to multiply by 2 on both sides and will get −5+₂= -4 Adding 5 to both sides we get = 7 This is the coordinate of point B. Now we will set up the equation to solve for y2 +y2)/2 =​

The vector addition of vector a = < 4, - 3 > and b = < - 1, - 2 > is given by,

a + b = < 3, -5 >

The graph of the vector sum is given below.

The addition of vectors suggests the addition of the corresponding components of the involving vectors.

Given the vectors are:

a = < 4, - 3 >

b = < - 1, - 2 >

So doing vector addition we get,

a + b = < 4, - 3 > + < - 1, - 2 > = < (4 + (-1)), (-3+(-2)) > = < (4 - 1), (-3 -2) > = < 3, -5>

Head to tail method is a method to draw vector addition, where the initial point of a vector involved in vector addition is started from tail point of another vector involved in vector addition.

Using vector tool we draw the vector addition of given vectors 'a' and 'b' we get,

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Answer: Look at the image below

Step-by-step explanation: I took the test.

Step 1: Select Vector

Step 2: Click on (0, 0), then click on (4, -3); (for every point your going to have to click on where you start then where you want to go.)

Step 3: Click on (4, -3), then (3, -5). Why?: ((4 - 1), (-3 - 2)) = (3, -5)

Step 4: To complete the problem and thus completing the "head to tail" method, you need to click on the origin (0,0) and finally click on (3, -5)

Your answer should now look like mine, now go get that A.

Answer:

The answer is 28

Step-by-step explanation:

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Answer:

B—283 cm^2

Step-by-step explanation:

SA=πr^2 + πrl

r=5

l=13

SA=π5^2 + π5*13

SA=π25 + π65

SA=78.5398 + 204.2035

SA=282.7433

SA=283=B

Answer:

1 m&m

Step-by-step explanation:

in order to find out how many will be left you will make the number of m&ms even causing it to have an even amount left over.

Answer: A. Side a is 26 inches long, side b is 20 inches long, and side c is 10.

Step-by-step explanation:

Scale factor for drawing = 2:1

Dimensions of drawing :  10 in, 5 in, 13 in

Dimension of object = Scale factor x Dimension of drawing

Sides of object:

2 x 10 in =20 in   [b]

2 x 5 in = 10 in  [c]

2 x 13 in = 26 in.  [a]

Hence, the correct option is

A. Side a is 26 inches long, side b is 20 inches long, and side c is 10.

Answer:

Side a is 2.5 inches long, side b is 5 inches long and side c is 6.5 inches long.

Step-by-step explanation:

Answer: $227,226.51

Step-by-step explanation:

First, we need to convert the period to weeks.

9 1/2 years = 9.5 years

1 year = 52 weeks

9.5 years = 494 weeks

Next, we can use the formula for the future value of an annuity:

FV = (PMT x (((1 + r/n)^(n*t)) - 1)) / (r/n)

where:

PMT = payment amount per period

r = annual interest rate

n = number of compounding periods per year

t = number of years

Plugging in the given values:

PMT = $300

r = 0.055 (5.5% expressed as a decimal)

n = 52 (compounded weekly)

t = 9.5 years = 494 weeks

FV = ($300 x (((1 + 0.055/52)^(52*494)) - 1)) / (0.055/52)

FV = $227,226.51

Therefore, the future value of the annuity is approximately $227,226.51.

The time taken to amount to be $100 is approx. 17 years.

Option D is correct.

It is given that, principal amount is $75 and rate of interest is 2%.

Let us consider that, time taken to become amount $100 is t years.

          Interest = 100 - 75 = $25

As we know that,

        Interest = (P*r*t)/100

Where P is principal, r is rate and t is time.

            \(25=\frac{75*2*t}{100} \\\\t=\frac{2500}{150}=16.67\)

Therefore, time taken to amount to be $100 is approx. 17 years.

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The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.

To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.

Add the square of half of the coefficient of x to both sides of the equation:

x² + 2x + (2/2)² = 319 + (2/2)²

x² + 2x + 1 = 320

The left-hand side of the equation can now be factored as a perfect square:

(x+1)² = 320

This is the equation in the form (x+a)²=b, where a=1 and b=320.

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The complete question is as follows:

What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?

x² + 2x = 319

Answer:

(10x−7)^2

Step-by-step explanation:

(10x+7)(10x-7)

i stead of making it a "100" since they are both the same  but positive and negative () and bring it to the power of 2

Answer:

1 adult ticket and 7 student tickets were purchased

Step-by-step explanation:

let a represent number of adult tickets purchased and s the number of student tickets purchased, then

a + s = 8 ( subtract s from both sides )

a = 8 - s → (1) ← based on total tickets purchased

10.5a + 7.25s = 61.25 → (2) ← based on cost of tickets

substitute a = 8 - s into (2)

10.5(8 - s) + 7.25s = 61.25

84 - 10.5s + 7.25s = 61.25

84 - 3.25s = 61.25 ( subtract 84 from both sides )

- 3.25s = - 22.75 ( divide both sides by - 3.25 )

s = 7

substitute s = 7 into (1)

a = 8 - 7 = 1

that is 1 adult ticket and 7 student tickets were purchased

The balance on the loan will be $198,908.

Based on the information given, the amount of interest for the first month will be:

= $200,000 × 0.0412

= $666.67

During the first month, the amount subtracted from the loan will be:

= $12111.96 - $666.67

= $545.29.

The interest accrued for the second month will be:

= $199454.71 × 0.0412

= $664.85

Therefore, the balance on the loan after the second month will be:

= $199454.71 - $547.11

=$198,907.60

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Answer:

the answer is D The triangles are similar so the ratios of their vertical heights to their horizontal lengths are equivalent.

Step-by-step explanation:

Answer:

ANSWER (Đ) IS CORRECT.

Step-by-step explanation:

HEIGHTS TO THEIR HORIZONTAL LENGTHS ARE EQUIVALENT.

Answer:

(2m^2)^3=8m^6

Step-by-step explanation:

............

The next number in the sequence 1, 2, 6, 22 is 86.

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The given sequence is 1, 2, 6, 22

Consider the provided sequence 1, 2, 6, 22, ____ ?

Observe the pattern of the sequence.

To obtain the sequence you need to add the next even square of 2 in the previous number.

1+2⁰=2

Now the next even number is 2.

2+2²=6

Now 6+2⁴=6+16=22

Therefore, the next number should be:

22+2⁶=86

Hence, the next number in the sequence 1, 2, 6, 22 is 86.

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Answer:

The expected value for this game is -$0.75, indicating that, on average, players would expect to lose $0.75 per game.

Step-by-step explanation:

Expected Value = (Probability of Winning * Payout for Win) - Cost of Playing

In this case:

Probability of Winning = 0.05

Payout for Win = $5

Cost of Playing = $1

Expected Value = (0.05 * $5) - $1

Expected Value = $0.25 - $1

Expected Value = -$0.75

Answer:

C. Through a given point not on a given line, there is exactly one line parallel to the given line.

Step-by-step explanation:

hope i helped

Answer:

Look down

Step-by-step explanation:

Thanks for reaching out for assistance! Based on the context you provided, it seems like the correct answer is C. Playfair's axiom states that there is exactly one line parallel to a given line that can be drawn through a point not on it. I hope this helps! Let me know if there's anything else I can do for you.

Answer: the fraction is 4over 12

Step-by-step explanation:

first you multiply the top and bottom number then u divide the number by the bottom.

Answer:

1/2

Step-by-step explanation:

If you were to multiply 1/2 by -50 you would get -25, which is greater than -50.

The same goes for 1/5, if you were to multiply 1/5 by -50, you would get -10.

Another example is 1/10 times -50, that would be -5.

Answer:

3rd

Step-by-step explanation:

I think thats how u fill it

Answer:

  z = √35

Step-by-step explanation:

In this geometry, all of the right triangles are similar, so corresponding sides are proportional.

  long side / hypotenuse = 5/z = z/(2+5)

  z² = 5(7) = 35

  z = √35

The length of EB is approximately 14.6 units when rounded to the nearest tenth.

To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.

Using the similarity ratio, we can set up the proportion:

DF / CF = DE / EB

Plugging in the given values, we have:

13.1 / 10.9 = 17.5 / EB

To find EB, we can cross-multiply and solve for EB:

13.1 * EB = 10.9 * 17.5

EB = (10.9 * 17.5) / 13.1

EB ≈ 14.6

Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.

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Answer:

1/2x +2

Step-by-step explanation:

If we start at (0,2), to the next point you rise 1 run 2, so 1/2 slope. You can see the 2 is the y intercept.

The speed of light is 1.08 x 10⁹ k/h Express this in SI units is 3 x 10⁸ m/s and in millimeters per nanosecond​ is  0.3 mm/ns.

(a) To express the speed of light in SI units, we can convert kilometers to meters and hours to seconds.

1 km = 1000 m

1 h = 3600 s

Therefore,

1.08 x 10⁹ k/h = (1.08 x 10⁹) x (1000 m/km) / (3600 s/h) = 3 x 10⁸ m/s

So the speed of light in SI units is 3 x 10⁸ m/s.

(b) To express the speed of light in millimeters per nanosecond, we need to convert meters per second to millimeters per nanosecond.

1 m = 10⁶ mm

1 s = 10⁹ ns

Therefore,

3 x 10⁸ m/s = (3 x 10⁸) x (10⁶ mm/m) / (10⁹ ns/s) = 0.3 mm/ns

So the speed of light in millimeters per nanosecond is 0.3 mm/ns.

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Answer:

It's 0.6

Step-by-step explanation:

Answer:

2+5a+5a and 9a+a+2

Step-by-step explanation:

It is the answer as

6a-4a+2= 2a+2

2+5a+5a= 10a+2

& 9a+a+2= 10a+2

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The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

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

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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The measures of the angles are a = 38, b = 52, c = 104 and d = 90 degrees

From the question, we have the following parameters that can be used in our computation:

The circle and its properties

The angle in a semicircle is 90 degrees

So, we have

d = 90

Using the properties of angles, we have

a = 1/2 * 76

a = 38

Also, we have

a + b + d = 180 --- sum of angles in a triangle

So, we have

38 + b + 90 = 180

This gives

b = 52

Using the properties of angles, we have

b = 1/2 * c

52 =  1/2 * c

c = 104

Hence, the measures of the angles are a = 38, b = 52, c = 104 and d = 90 degrees

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Answer:

AB and AC

Step-by-step explanation:

Because they are the same length