URGENT! Complete the proof that m
Images below. Match the answers/statements to the number options above..

Put the reasons for lines 1 through 6 in order below.

Answer:

m = -6/5

Step-by-step explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

Points (2,6) (7,0)

We see the y decrease by 6 and the x increase by 5, so the slope is

m = -6/5

the slope of the line is -1.2 or -1 1/5 or if not simplified -6/5

2= x1

6= y1

7=x2

0=y2

using the formula y2-y1/x2-x1

now set up the equation

0-6/7-2

-6/5

-1 1/5 or -1.2

Answer: y = (x + 3)(x - 4)

ok done. Thank to me :>

If two events are collectively exhaustive, then the probability that both occur at the same time is 0 .(option-a)

Tossing a coin is an illustration of two occurrences that are both mutually exhaustive and mutually exclusive. When we flip a coin, we can only obtain either a head (H) or a tail (T), never both (H) and (T). As the events are mutually exclusive in this situation, the probability of receiving both a head and a tail is equal to P(H and T) = 0, and the chance of getting either a head or a tail is equal to P(H or T) = 1 since the occurrences are mutually exhaustive.

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Answer:

(5w-1) (w-1)

Steps:

5w^2-w-5w+1

w(5w-1)-(5w-1)

(5w-1) (w-1)

(5w-1) (w-1)

Answer:

8/5 oz

Step-by-step explanation:

The problem is saying that there are 8 ounces of cheese and 5 bowls of spaghetti you need to divide the cheese over. As you need an equal amount of cheese in each bowl, you have to divide 8 ounces by the number of bowls, which is 5. Thus, you would do 8 divided by 5, which we just say is 8/5. Therefore, your answer is 8/5 ounces of cheese (or simplified to 1 3/5).

Answer:

The measurement of the other parallel side which is the base of the parallelogram is 4.3 m

Step-by-step explanation:

Mathematically, the area of a trapezoid can be calculated using the formula below;

A = 1/2 (a + b) c

where a and b are the parallel sides and c is the height

We have one parallel sides and the height including the value of the area

Let’s say A = 13

a = 2.2m

h = 4.0 m

Plugging these values, we have;

13 = 1/2(a + 2.2) 4

26 = 4(a + 2.2)

26 = 4a + 8.8

26-8.8 = 4a

4a = 17.2

a = 17.2/4

a = 4.3 m

This quadratic equation has a negative coefficient of (-16)2 - 4(2)(36) = -64. The line y = -x + 9 is not intersecting the circle (x - 4)2 + (y - 2)2 = 64 at any other location, proving that the quadratic has no real roots.

The equals sign (=) is used in mathematical equations to denote equality between two assertions. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in mathematics. For instance, the equal sign places a space between the integers in the equation 3x + 5 = 14. The relationship between the two lines on either side of a character can be expressed mathematically. Frequently, the logo and the specific component of software are the same. such as, for example, 2x - 4 = 2.

The tangent line has a slope of -1/1 = -1 because the radius through point (6,4) has a slope of (4-2)/(6-4) = 1

(x - 4)^2 + (-x + 8)^2 = 64

By enlarging and condensing, we obtain:

2x^2 - 16x + 36 = 0

This quadratic equation has a negative coefficient of (-16)2 - 4(2)(36) = -64. The line y = -x + 9 is not intersecting the circle (x - 4)2 + (y - 2)2 = 64 at any other location, proving that the quadratic has no real roots.

The line must be tangent to the circle at the place because it does not cross the circle at any other points. (6,4). As a result, we can say that the circle (x - 4)2 + (y - 2)2 = 64 at the position on the line y = -x + 9 is tangent to it. (6,4).

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Answer:

x = 6

Step-by-step explanation:

44 + 3x = 5x + 2x + 20 transfer like terms to the same side of the equation with the opposite sign:

44 - 20 = 5x + 2x - 3x add/subtract like terms

24 = 4x divide both side by 4

6 = x

Answer:

A

Step-by-step explanation:

I just used Pythagorean Theorem for this one

I hope this helps!!

The trigonometric expression in terms of sine and cosine and simplified is -sec^2 x.

We can use the trigonometric identity:

tan^2 x + 1 = sec^2 x

to rewrite the expression as:

tan^2 x − sec^2 x = tan^2 x − (tan^2 x + 1) = -1 - tan^2 x

Using the identity:

1 = sin^2 x + cos^2 x

we can rewrite tan^2 x as:

tan^2 x = sin^2 x / cos^2 x

Substituting this into the expression, we get:

-1 - tan^2 x = -1 - (sin^2 x / cos^2 x) = (-cos^2 x - sin^2 x) / cos^2 x

Using the identity:

cos^2 x + sin^2 x = 1

we can simplify the expression to:

(-cos^2 x - sin^2 x) / cos^2 x = (-1) / cos^2 x = -sec^2 x

Therefore, the trigonometric expression in terms of sine and cosine and simplified is -sec^2 x.

To write the trigonometric expression tan^2(x) - sec^2(x) in terms of sine and cosine, we first need to recall the definitions of tangent and secant:

tan(x) = sin(x) / cos(x)
sec(x) = 1 / cos(x)

Now, we can substitute these definitions into the given expression:

tan^2(x) - sec^2(x) = (sin(x) / cos(x))^2 - (1 / cos(x))^2

Now let's simplify the expression:

= (sin^2(x) / cos^2(x)) - (1 / cos^2(x))

To combine the two terms, we need a common denominator, which is cos^2(x):

= (sin^2(x) - 1) / cos^2(x)

Now, recall the Pythagorean identity: sin^2(x) + cos^2(x) = 1. We can rearrange this identity to express sin^2(x) in terms of cosine:

sin^2(x) = 1 - cos^2(x)

Now, substitute this expression for sin^2(x) in the given expression:

= (1 - cos^2(x) - 1) / cos^2(x)

Finally, simplify the expression:

= -cos^2(x) / cos^2(x)

The result is:

= -1

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Answer:

$6.5 per bag

Step-by-step explanation:

The unit price is the total price divided by the weight

9.75/1.5 = 6.5

Answer:

h (x)=-16x^(2)+3x+35 =

x-intercept(s): (3+√224932,0),(3−√2249 32,0)

y-intercept(s): (0,35)

Answer: C and D

Step-by-step explanation:

Plug in the X and Y from the coordinates into each equation. If both sides are equivalent, that means that the line passes through.

The corrrect statements about angle are:

Please refer to the attached picture below for visualization of the angles.

Based on the attached picture, we can consider the relationship of each angle, such as:

Alternate interior angles and congruent:

Angle 4 and angle 5

Angle 3 and angle 6

Alternate exterior angles and congruent:

Angle 1 and angle 8

Angle 2 and angle 7

Consecutive interior angles and supplementary:

Angle 3 and angle 5

Angle 4 and angle 6

Corresponding angles and congruent:

Angle 1 and angle 5

Angle 2 and angle 6

Angle 3 and angle 7

Angle 4 and angle 8

Vertical angles and congruent:

Angle 1 and angle 4

Angle 2 and angle 3

Angle 5 and angle 8

Angle 6 and angle 7

Supplementary angles:

Angle 1 and angle 2

Angle 3 and angle 4

Angle 5 and angle 6

Angle 7 and angle 8

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Answer:

the answer is 81 rotations per minute

Answer:

1. PQ = PQ, then PQ ≅ PQ Definition of Congruence

2. If K is between J and L, then JK + KL = JL Segment addition postulate

3. \(\overline {EF}\) ≅ \(\overline {EF}\) Reflexive Property of Congruence

4. If RS = TU, then RS + XY = TU + XY Addition property of equality

5. If AB = DE, then DE = AB Symmetric property of equality

Step-by-step explanation:

The definition of congruence is the condition of geometric figures having the same shape and size

The segment addition postulate states that a point K lies in between two points on a line segment J and L, if and only if the equation for the length of the segments JK + KL = JL is met

The reflexive property of congruence states that a shape, a line segment, or an angle has the property of being congruent to itself

Addition property of equality states that both sides of an equation remain equal when we add or subtract an equal amount from both sides of the equation

Symmetric property of equality states that two values remain equal after their sides of the equation is reversed from left to right.

Step-by-step explanation:

i think question is not complete.

No, it is not required to be accurate. The growth rates of the two functions can vary.

It's not necessary for log f(n) to equal log g(n). Depending on the equation's constants and the inputs to the two functions, the growth rates of the two functions may differ. For instance, log f(n) = 2 log n and log

g(n) = 3 log n,

which are not equal, if

f(n) = n2 and g(n) = n3.

In this instance, log f(n) is equal to (log n) and log g(n) to (log n3), indicating that the two functions grow at various rates. Likely not equal are log f(n) and log g(n) if

f(n) = n and g(n) = n2,

respectively. Log f(n) is defined as (log n) and log Therefore, the statement "log f(n) = (log g(n)" is not necessarily true.

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Answer:

12

Step-by-step explanation:

I just know please mark brainliest!!!

The mean is halfway between these two integers are = 357 and 789, then the 99.7% of data will lie between  that is it will lie in the range.

We are given that the scores are normally distributed.

The mean of the data is 573.

The standard deviation of this data is 72.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

So,

We can write,

μ = 573

σ = 72

Then, the given expression is,

( μ - 3σ < x < μ +3σ ) = 99.7%

So,

μ - 3σ = 573 - 3*72

μ - 3σ = 573-216

μ - 3σ = 357

μ +3σ = 573 + 3*72

μ + 3σ = 573+216

μ + 3σ = 789

Hence, the mean is halfway between these two integers are = 357 and 789

Empirical rule states that for a normally distributed data that

about 68% data lies between μ + 1σ that is one standard deviation from mean.

about 95% data lies between μ + 2σ that is one standard deviation from mean.

about 99.7% data lies between μ + 3σ that is one standard deviation from mean.

Therefore,

The mean is halfway between these two integers are = 357 and 789, then the 99.7% of data will lie between  that is it will lie in the range.

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Answer:

21 and 14

Step-by-step explanation:

The relationship between x and y is proportional thus the equation is

y = kx ← k is the constant of proportion

To find k use the ordered pair y = 84 when x = 28 , then

84 = 28k ( divide both sides by 28 )

k = 3

y = 3x ← equation of proportion

When x = 7 , then

y = 3 × 7 = 21 ← value required in top table

When y = 42 , then

42 = 3x ( divide both sides by 3 )

x = 14 ← value required in lower table

Answer:

I do not know sorry

Step-by-step explanation:

Answer:

Solution: x=-4

Step-by-step explanation:

Add one on both sides to get rid of the one on the left side.

Divide by -6 on both sides to isolate the variable x.

x=-4

Plug in -4 as x and you will see that the solution is correct.

Answer:

To answer this question, we need to use the ratio between the shadow length and the object's height. In the first example, the flypool casts a shadow 20 ft long and the child casts a shadow 42 in long. This means that the ratio between the flypool's shadow and the child's shadow is 20 ft:42 in or 5:1.

Now, to calculate the height of the flagpole, we need to use the same ratio. For example, if the flagpole casts a shadow 120 in long, then the ratio between the flagpole's shadow and the child's shadow is 120 in:42 in or 3:1. Thus, the height of the flagpole is 3 times the height of the child, or 12 ft. To the nearest foot, this would be 12 ft

Answer:

Explanation:

Here, we want to get the values of f(x) at the given values of x

To get that, we have to substitute the values of x into f(x)

We take the x-values one after the other

when x = -4:

when x = -2:

when x = 0:

when x = 1:

when x = 3:

when x = 5:

For the given values of x:

Substituting given values, we can find k, the constant of proportional, and then using it to find P when q=10: P=121.

Using the given information, we can write P = \(k(q+2)^2\), where k is the constant of proportional. To find k, we can substitute the given values: \(1 = k(1+2)^2\), which simplifies to 1 = 9k. Therefore, k = 1/9.

Now, we can use the value of k to find P when q = 10: P = \((1/9)(10+2)^2 = (1/9)(144) = 16\).

Therefore, when q = 10, P is equal to 16.

The relationship between P and \((q+2)^2\) is direct proportionality. When q = 1, the value of P is 1, and we find that k = 1/9. Using this value of k, we can find that when q = 10, the value of P is 16.

In this scenario, we are dealing with a direct proportionality relationship. This means that as the value of \((q+2)^2\) increases, the value of P will also increase proportionally.

To find the constant of proportionality, we can substitute the given values of P and q and solve for k. Once we find k, we can use it to find P when q is equal to any other value.

In this case, we are given the values of P and q at one point (q=1, P=1) and asked to find the value of P at another point (q=10). By finding the constant of proportional and using it to solve for P at q=10, we can determine the relationship between these two variables.

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Answer:

8,450 minutes

Step-by-step explanation:

Answer:b

Step-by-step explanation:

The estimated value of the machine after 4 years when the rate of depreciation dV/dt is inversely proportional to the square of t + 1 is $234,375.

Since the rate of depreciation is inversely proportional to the square of t + 1, we can write:

dV/dt = k / (t + 1)²

where k is the constant of proportionality. We can find k by using the initial value of the machine:

dV/dt = k / (t + 1)² = -100,000 / year when t = 0 (the first year)

Therefore, k = -100,000 * (1²) = -100,000.

To find the value of the machine after 4 years, we need to solve the differential equation:

dV/dt = -100,000 / (t + 1)

We can do this by separating variables and integrating:

∫dV / (V - 500,000) = ∫-100,000 dt / (t + 1)²

ln|V - 500,000| = 100,000 / (t + 1) + C

where C is the constant of integration.

We can find C by using the initial value of the machine:

ln|500,000 - 500,000| = 0 = 100,000 / (0 + 1) + C

Therefore, C = -100,000.

Substituting this value of C, we get:

ln|V - 500,000| = 100,000 / (t + 1) - 100,000

ln|V - 500,000| = -100,000 / (t + 1) + ln|e¹⁰|

ln|V - 500,000| = ln|e¹⁰ / (t + 1)²|

V - 500,000 = \(e^{10/(t + 1)²)}\)

V = \(e^{10/(t + 1)²)}\) + 500,000

Finally, we can estimate the value of the machine after 4 years by substituting t = 3:

V = \(e^{10/(3 + 1)²}\) + 500,000

V ≈ $234,375

Therefore, the correct answer is $234,375.

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