a lakeis 200ft wide. two boats start to move towards one another from opposite shores.In one minute ,the first boat goes 40 ft and the second one goes 30 ft they are very slow! what would be the distance between the boats after 1 minute

Answer:

Step-by-step explanation:

What you have here is called "the difference of two squares"

Difference means subtraction and both 100x2 and 49 are perfect squares.

The factored form of 100x2-49 is

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

Because 10x times 10x is 100x2 and 7 times 7 is 49

One factor has a + and

One factor has a -

It is a pattern worth memorizing!

So 10x + 7 is the factor you're looking for.

The answer is B) y = 4x

Explanation: If you substitute each number in the x column for the variable x, and then multiple that number by 4, you'll get the number in the y column to the right.

For example:

y = 4x --> y = 4 (2) --> y = 8

I hope this helped. :)

Answer:

10

Step-by-step explanation:

Multiply each side by the reciprocal, -5/2

x = -4 * -5/2

x = 20/2

x = 10

Answer:

Step-by-step explanation:

The first step in solving the equation is to cube both sides:

  (∛x)³ = (-4)³ . . . . . = (-4)(-4)(-4) = 16(-4) = -64

  x = -64 . . . . . simplified

__

We're not sure what "checking" is supposed to involve here. Usually, one would check the answer by seeing if a true statement is made when the answer is put into the original equation.

  ∛(-64) = -4 . . . true

Many calculators will not compute √(-64) because they compute roots using logarithms. The log of a negative number is not defined.

So, the way one would check this is to cube both sides, which is how we got the answer in the first place. We expect the same result from doing the same operation again, so it isn't really a check.

Answer:

-4

Step-by-step explanation:

Slope formula:

m=y2-y1/x2-x1

I will use (-1,10) and (1,2)

2-10/1-(-1)

Which is

-8/2

Divide:

-4

Thus the slope is -4

Hope this helps!

Answer:

What's this question? Oh my gosh!

Answer:

∠DAB=140

∠BAC=60

∠EBF=40

∠ACB=80

∠BCG=100

Step-by-step explanation:

Answer:

380

Step-by-step explanation:

285 / x = 75 / 100

Cross multiply 28500 = 75x

Divide by 75  380

Answer:

12.80 divided by 8 = 1.60

1.60 x 32 = 51.20

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

DE corresponds to AB.

37=5x+2

-2 -2

35=5x

7=x

Answer:

What do you need help with?

Step-by-step explanation:

Answer:

Slope is 4

Step-by-step explanation:

2y=8x-6

divide by 2

y=4x-3

y=mx+b

m is slope

m=4

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

We can solve this question by understanding what is first says. The expression tells us 4 square which is 16 plus to to the power of x and all that divided by two: [tex]16+2^{x} / 2 = 16[/tex]

Now we can solve for x:

1.  [tex]16 + 2^{x} = 32[/tex]

2. [tex]2^{x}=16[/tex]

3. [tex]x=4[/tex]

Answer:

[tex]y=-8x+80[/tex]

Step-by-step explanation:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}=\frac{32-64}{6-2}=\frac{-32}{4}=-8[/tex]

[tex]y=mx+b[/tex]

[tex]y=-8x+b[/tex]

[tex]64=-8(2)+b[/tex]

[tex]64=-16+b[/tex]

[tex]80=b[/tex]

Therefore, the estimated line of best fit is [tex]y=-8x+80[/tex]

Answer:

4

Step-by-step explanation:

In universal algebra and mathematical logic, a term algebra is a freely generated algebraic structure over a given signature. For example, in a signature consisting of a single binary operation, the term algebra over a set X of variables is exactly the free magma generated by X

Answer:

It is an obtuse angle so correct

The given triangle is an obtuse angle triangle.

The correct option is (B).

A triangle in geometry is a three-sided polygon with three edges and three vertices.

As per the given data in the diagram:

We are given a triangle and all the angles of the triangle are also given.

We have to find out the type of the triangle.

If all angles of a triangle are less than 90°, then it's an acute angle triangle.

If any angle of the triangle is greater than 90°, then it's an obtuse angle triangle.

If any angle of the triangle is equal to 90°, then it's a right angle triangle.

For the given triangle:

30° < 90°

24° < 90°

126° > 90°

The given triangle is an obtuse angle triangle.

Hence, the given triangle is an obtuse angle triangle.

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Answer:

4 + (2 x 3)^2

Step-by-step explanation:

4 + 6^2

4 + 36

40

Answer:

[tex]\boxed{\boxed{\sf x=84}}[/tex]

Step-by-step explanation:

[tex]\sf \cfrac{x}{6} +2=16[/tex]

Multiply both sides of the equation by 6:

[tex]\sf x+12=96[/tex]

Subtract 12 from both sides:

[tex]\sf x=96-12[/tex]

Subtract 12 from 96:

[tex]\sf x=84[/tex]

_________________________________

Answer:

[tex] \sf \: \longmapsto\frac{x}{6} + 2 = 16[/tex]

[tex]\sf \: \longmapsto\frac{x}{6} = 16 - 2[/tex]

[tex]\sf \: \longmapsto \frac{x}{6} = 14[/tex]

[tex]\sf \: \longmapsto \: x = 14 \times 6[/tex]

[tex]\sf \: \longmapsto \: x = 84[/tex]

Step-by-step explanation:

[tex]\fbox {\fbox {\fbox {\fbox{ \pink{HeavenMistress}}}}}[/tex]

Answer: a very straight forward b 2 4 and 6 c 9

Step-by-step explanation:

[tex]\huge \bf༆ Answer ༄[/tex]

In the given figure, The marked angles forms a pair of co - interior angles [ because lines l and m are parallel ]

therefore,

Hence, the value of x is ~ 7

Answer: The equation of a line that passes through the point (8,-4) and has a slope of 3 is y = 3x - 28.

Explanation:

y = -4, x = 8

By putting above values in equation (i)

-4 = 3 (8) + b

-4 = 24 + b

-28 = b

b = -28

y = 3x - 28

Answer:

4/10

Step-by-step explanation:

4:10

as there are 4 circles, and 10 total (6 + 4)

simplify by diving by 2.

therefore the answer is,

2:5

(I guess, this could be simplified further, but it wouldn't be a whole number).

Answer:

$1.20 per chicken

Step-by-step explanation:

[tex]\frac{money} {chickens}[/tex]

[tex]\frac{18}{15}[/tex]

1.2

__________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

Answer:

Step-by-step explanation:

(-7, 8) (-8, 8)

(y2 - y1) / (x2 - x1)

(8 - 8) / (-8 + 7)

0 / -1

the slope is 0

you could also see this because the y value doesn't change

if the y value doesn't change the slope is 0, if the x value doesn't change the slope is undefined

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 7, 8 ) and (x₂, y₂ ) = (- 8, 8 )

m = [tex]\frac{8-8}{-8-(-7)}[/tex] = [tex]\frac{0}{-8+7}[/tex] = [tex]\frac{0}{-1}[/tex] = 0

The step that would be correct to start the process is she could distribute the 3 to get 3x+2=6y

Note that the standard equation of a line in slope-intercept form is expressed as y = mx + b

Given the function 3(x+2)=6y, for Juliet to write in slope-intercept form, the best approach is to first divide both equations by 6 as shown:

[tex]3(x+2)=6y \\\frac{3(x+2)}{6} =\frac{6y}{6} \\\frac{x+2}{6}=y[/tex]

Swap sides

[tex]y=\frac{x+2}{6}\\y=\frac{1}{6}x +\frac{1}{3}[/tex]

She could as well distribute the 3 over x + 2 to have:

3(x + 2) = 6y

3x + 3(2) = 6y

3x + 6 = 6y

Hence based on the option, the step that would be correct to start the process is she could distribute the 3 to get 3x+2=6y

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Answer:

Its C

Nevermind Its Not its A or B

Step-by-step explanation:

:)

Answer:

It will take 2 months for the' mane to grow 24/10 centimeters, because 24/10 divided by 6/5 = 24/10 x 5/6 would be 2 months.

Step-by-step explanation:

Hope this helps, have a good day/night :)

It will take 4/2 months or 2 months for the horse's mane to grow 24/10 centimeters.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A horse's mane grows at the rate of 6 over 5 centimeters per month.

Let x be a number of months.

(6/5)x = 24/10

6x = 12

x = 12/6 = 4/2 or

x = 2 months

Thus, it will take 4/2 months or 2 months for the horse's mane to grow 24/10 centimeters.

Learn more about the linear equation here:

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Answer:

Muhammad will be able to make the scarf

Step-by-step explanation:

If he needs 6 feet of yarn and he has got 2 yards witch are 3 feet each multiply 3 feet by 2 and you get 6 yards and then add the 3 inches left, he's got 6 feet 3 inches

Answer:answer d

Step-by-step explanation:

i just did the test

Answer:

it depends on the choices

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

[tex]\frac{5}{3}v+4+\frac{1}{3}v=8[/tex]

[tex]2v+4=8[/tex] <-- Resulting equation after first step

[tex]2v=4[/tex]

[tex]v=2[/tex] <-- Actual solution