find the distance between the two points, round to the nearest tenth (if necessary).
(−2,−5) and (−7,−7)


Leg 1:
Leg 2:
Distance:

We need to complete the following identity:

For solving this problem, we need to check some known trigonometric identities, in this case we can use the following product identity:

If we replace alpha by a and beta by b, we obtain:

The answer is C. sin a.

Answer:

-7b

Step-by-step explanation:

Ok soo you have add the terms.

1b+(-8b)=-7b

Have a good!!

Answer:

-9b

Step-by-step explanation:

i'm assuming this is just combining like terms so if you ignore the (b) you will have

6-5+(-8)

-1+(-8)

-9

then you put back the variable and you get -9b

A system of equation is 1680mi3hr = p−w×600×2hr -p + w  for a jet airliner travels 1680 miles in 3hours with a tail wind.

Let p be  the speed of the jet airliner

and w  be the speed of the tail wind

It takes the plane 3 hours to go 1680 miles when a jet airliner travels with a tail wind and and 3.5 hours to go 1680 miles against the wind.. So, using system of equations we get

1680mi3hr = p−w×600×2hr = p + w

Solving for the left sides we get:

200mph = p - w

300mph = p + w

Now solve for one variable in either equation, we use

200mph = p - w

Add w to both sides:

p = 200mph + w

Using the value of x, we can found the value of w using system of equations.

300mph = (200mph + w) + w

Combine like terms:

300mph = 200mph + 2w

Subtract 200mph on both sides:

100mph = 2w

On dividing by 2:

50mph = w

So the speed of the tail wind is 50mph.

Therefore, 200mph = p - 50mph

Add 50mph on both sides:

250mph = p

Hence, speed of jet airliner is 250mph.

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Answer:

-3

Step-by-step explanation:

2x².        0.          -5.             :           x.           -1

2x².        -2x.        /                           2x.           2

//.            2x.         -5

//.            2x          -2

//.             //.           -3

Answer:

-------------------------------

According to the remainder theorem, when you divide f(x) by (x - a) the remainder is f(a).

The remainder is:

Answer:

3x + 8

Step-by-step explanation:

Since, WY bisects UV at Y.

Therefore,

UV = UY + YV

UV = 2x + 1 + x + 7

UV = 2x + x + 1 + 7

UV = 3x + 8

The measure of length UV given that UY = 2x +1 and YV = x+7 is 3x + 8

To bisect a given line means to divide the line into two equal parts.

If WY bisects UV at Y, then:

UY + YV = UV and UY  = YV

Given the following parameters:

UY = 2x +1

YV = x+7

Required

UV

Substitute the given parameters into the formula shown above:

2x + 1 + x + 7 = UV

Collect the like terms

2x + x + 1 + 7  UV

3x + 8 = UV

Swap

UV = 3x + 8

Hence the measure of length UV is 3x + 8

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Answer:

Hello! answer: g = 37

Step-by-step explanation:

This is a complementary angle so it will add up to 90 degrees so we just simply have to do 90 - 53 to find the answer so... 90 - 53 = 37 so g = 37

Hope that helps!

Answer:

  about 3.08 L

Step-by-step explanation:

You want the number of litres in the volume of a cylindrical can 14 cm in diameter and 20 cm high.

A litre is a cubic decimeter, 1000 cubic centimeters. As such, it is convenient to perform the volume calculation using the dimensions in decimeters:

The volume of the cylinder is given by the formula ...

  V = (π/4)d²h . . . . . . . where d is the diameter and h is the height

  V = (π/4)(1.4 dm)²(2.0 dm) ≈ 3.079 dm³ ≈ 3.08 L

The cylindrical can will hold about 3.08 litres.

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Answer:

Height = 0.7857 m = 13/16

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have a rectangular box of both sides., the width and the height.

Height x 7 x 2 = 11

Height = 0.7857 m = 13/16 m in simplest form.

Answer:n I got this 64.102564102664.1025641026

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

So do this equation in your head.

Or Write It Down.

50 x 0.78

And Multiply it from there.

So I hope it helps.

We can use the normal distribution to determine the value that is larger than roughly 55% of the population. So the value that is closest to the value larger than roughly 55% of the population is 89.24.

We can use a standard normal distribution table or a calculator to find that the z-score is approximately -0.1257.

z = (x - μ) / σ

where x is the raw score, μ is the mean, and σ is the standard deviation.

x = z * σ + μ

x = (-0.1257) * 6 + 90

x ≈ 89.24

So the value that is closest to the value larger than roughly 55% of the population is 89.24.

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Answer:

the answer is $5 each

Step-by-step explanation:

30÷6=5

Answer: $50

Step-by-step explanation:

According to Amber the Dune B will likely erode faster because there is more sand and there is no plants .

Amber saw a picture

And Dune B was predicted to be erode faster

It is correct as Dune B has more sand and less water supply which keeps the dune from growing any plant.

Over the past millennia, when sea level rise slowed, coastal dunes have grown naturally along various shorelines all over the world. The basic conditions for the development of coastal dunes are an adequate quantity of sand at the coast and wave action and onshore winds.

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Answer:

A = 104 ft²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = \(\frac{1}{2}\) h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ are the parallel bases

Here h = 8, b₁ = 10 + 6 = 16, b₂ = 10 , then

A = \(\frac{1}{2}\) × 8 × (16 + 10) = 4 × 26 = 104 ft²

Answer:

$18, 000

Step-by-step explanation:

(1500)(15)(0.08)=18000

Use the regression equation for predictions only if the graph of the regression line on the scatterplot confirms that the regression line fits the points reasonably well. Therefore, the correct answers are options A, B and D.

For each participant in many research, we measure more than one variable. For instance, we track rainfall and plant growth, the quantity of eggs and nesting environment, the number of young, and soil erosion and water volume. Instead of analysing each variable independently (univariate data), we collect pairs of data and try to come up with ways to characterize bivariate data, which involves measuring two variables on each individual in our sample. We start by looking for a correlation between these two variables using the data at hand.

Numerous different kinds of associations between two variables can be found using a scatterplot.

Therefore, the correct answers are options A, B and D.

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Step-by-step explanation:

Step 1:

\(3-4(3+2y)+7\)

Step 2:

\( = 3 - 12 - 8y + 7\)

Step 3:

\( = 10 - 12 - 8y\)

Step 4:

\( = -2 - 8y\)

hope it helped you:)

Answer:

$13 overpayment

Step-by-step explanation:

We can find the amount Trevor should pay each month by dividing the $26,555 by 36 months:

               ($26,555/(36 months)) = $737.64 per month

Since Trevor decide to round up to the nearest dollar, he will pay $738 each month.  That's an overpayment of $0.361 each month.

After 36 months of overpaying by $0.361 each month, Trevor will have overpaid:

  ($0.36/month)*(36 months) = $13 overpayment

Answer:

-1

Step-by-step explanation:

Answer:

130 points

Step-by-step explanation:

Given

\(Scorers: Duane,\ LeBron\ \&\ Chris\)

\(D=Dwayne\)

\(C = Chris\)

\(L = LeBron\)

So, we have:

\(L = 15 + C\) --- 15 more than Chris

\(L =D -10\) --- Same as Dwayne previous personal best

\(D = 55\) -- Dwayne's point

Required

Find the total points

We have:

\(L = 15 + C\)

\(L =D -10\)

\(D = 55\)

Substitute \(D = 55\) in \(L =D -10\)

\(L = 55 - 10\)

\(L = 45\)

Substitute \(L = 45\) in \(L = 15 + C\)

\(45 = 15 + C\)

\(C =45 -15\)

\(C =30\)

So, we have:

\(D = 55\)

\(L = 45\)

\(C =30\)

The total points is calculated as:

\(Total = D + L + C\)

\(Total = 55 + 45 + 30\)

\(Total = 130\)

u = - 4w + 9 is the rearranged equation so that w is the independent variable given that the equation is u - 5= - 4(w - 1). This can be obtained by simplifying the equation and taking w to one side of the equation with other constants.

Simplifying an equation can be done by using the following steps:

Here it is given that the equation is,

⇒ u - 5= - 4(w - 1)

We have to find an equation in which w is taken to one side of the equation with other constants.

First by adding both side of the equation with 5 we get,

⇒ u - 5 + 5 = - 4(w - 1) + 5

By opening the bracket we get,

⇒ u = - 4w + 4 + 5

Finally by adding the constants we get,

⇒ u = - 4w + 9

Hence u = - 4w + 9 is the rearranged equation so that w is the independent variable given that the equation is u - 5= - 4(w - 1).

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Answer:

The correct answer is -21 degrees.

Step-by-step explanation:

We know that the original temperature was -12 degrees.  If the temperature drops another 9 degrees, this means that it is getting colder or the temperature is getting lower; this lets us know that we should subtract 9 from the original temperature.  This is modeled below:

-12 - 9

Now, we simply have to perform the subtraction to get:

-21 degrees

Hope this helps!

The car consumes 3 gallons and 8.2 gallons of fuel respectively.

The gas mileage is the number of miles that can be covered by a car for a particular amount of fuel.

We are given that the gas mileage of the car is 30 miles per gallon, that means that the car consumes 1 gallon of fuel for each 30 miles covered.

The amount of fuel needed to cover the following distance is:

a) For 90 miles, let x represent the number of gallon of fuel. Hence:

Distance covered / amount of fuel = 30 miles per gallon

90/x = 30

x = 90/30

x = 3 gallons

b) For 246 miles, let x represent the number of gallon of fuel. Hence:

Distance covered / amount of fuel = 30 miles per gallon

246/x = 30

x = 246/30

x = 8.2 gallons

Therefore the car consumes 3 gallons of fuel for 90 miles and 8.2 gallons for 246 miles.

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The least common denominator for the given fractions is (x+6)(x-2). Therefore, the correct answer is option B.

The given expression is \(\frac{x}{x^2+4x-12}-\frac{3}{x+6}\) and the least common denominator is (x+6)(x-2).

When two or more fractions have the same denominators, they are termed as the common denominators. The least common denominator (LCD) refers to the smallest number that is a common denominator for a given set of fractions.

Here, \(\frac{x}{x^2+6x-2x-12}-\frac{3}{x+6}\)

\(=\frac{x}{x(x+6)-2(x+6)}-\frac{3}{x+6}\)

\(=\frac{x}{(x+6)(x-2)}-\frac{3}{x+6}\)

Here, least common denominator is (x+6)(x-2)

\(=\frac{x}{(x+6)(x-2)}-\frac{3(x-2)}{(x+6)(x-2)}\)

Therefore, the correct answer is option B.

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"Your question is incomplete, probably the complete question/missing part is:"

Kelvin found that the least common denominator needed to subtract \(\frac{x}{x^2+4x-12}-\frac{3}{x+6}\) is is (x+6)(x-2). Which is the correct next step?

A) \(\frac{x-3}{x^2+3x-18}\)

B) \(\frac{x}{(x+6)(x-2)} - \frac{3(x-2)}{(x+6)(x-2)}\)

C)  \(\frac{x}{(x+6)(x-2)} - \frac{3(x+2)}{(x+6)(x-2)}\)

D) \(\frac{x(x+6)(x-2)}{(x+6)(x-2)} - \frac{3(x+6)(x-2)}{(x+6)(x-2)}\)

Answer:

9<15<16

√9<√15<√16

3<√15<4

Step-by-step explanation:

The square root of 15 is greater than 3 but less than 4

The missing numbers are, 9 and 16, √9 and √16, and 3 and 4 after taking the square root of the numbers.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

The number in the radicals is 15.

As we know, the number 15 is between 9 and 16

9 < 15 < 16

After taking the square root:

√9 < √15 < √16

The square root of 9 is 3 and the square root of 16 is 4.

3 < √15 < 4

Thus, the missing numbers are, 9 and 16, √9 and √16, and 3 and 4 after taking the square root of the numbers.

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Answer:

heres what u need to do

Step-by-step explanation:

\(slope=\frac{rise}{run}\)

so first you need to put the

\(\frac{y2}{x2} \frac{y1}{x1}\)

next put the functions in

\(\frac{-4}{2} \frac{2}{-2}\)

now divide the numbers

\(-4/2=-2\\\)

-2 will be the x

\(2/-2=-1\)

-1 is the y

so your slope is -2,-1

Answer:

x≤3

Step-by-step explanation:

Hi there!

4x≤12

Divide both sides by 4 to isolate x

4x/4≤12/4

x≤3

I hope this helps!