A boat travels due north for 20km and then turns and travels due east for 7km. How far away is the boat from where it started?

Answer: y=7x-68

Step-by-step explanation: Ok so you would use point slope to slope so plug the points in.  y+30=7(x-4)  then if you need to convert it further into slope intercept form just simplify and distribute. So y+30=7x-28, subract 30 from both sides to get y=7x-68

Hence, the slope of line is [tex]y=7x-58[/tex].

What is the slope of line?

The slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] can be easily determined by finding the difference between the coordinates of the points.

The slope is usually represented by the letter ‘m’.

Here given that,

Slope is [tex]7[/tex] and the coordinates of [tex](x,y)=(4,-30)[/tex].

As we know slope of line is

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

where [tex]m[/tex] is the slope.

So,

[tex]y+30=7(x-4)[/tex]

Now convert it further into slope intercept form

[tex]y+30=7x-28\\\\y=7x-28-30\\\\y=7x-58[/tex]

Hence, the slope of line is [tex]y=7x-58[/tex].

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Answer:

yes (i think im not for sure)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Lets find out first the Area of the rectangle building

A=50*100=5000 ft^2

we have 2 circles with the radius of 42 ft, r=21ft

Acircle=3.14*(21)^2=1384.74

Area of 2 circles=2*1384.74=2769.48

What is not covered by the rings is

5,000.00-2769.48=2230.52, rounded is 2231

Choice A

Answer:

15.5 meters of wood.

Step-by-step explanation:

Find the perimeter of the box.

2(1.50)+2(6.25)=15.5

Answer:

15.5 m of wood

Step-by-step explanation:

The perimeter of this 1.5 m by 6.25 m frame is a measure of the length of wood needed.  Here P = 2(1.5 m) + 2(6.25 m) = 3 m + 12.5 m, or 15.5 m

Answer:

6 miles per minute.

Step-by-step explanation:

All you need to do is, divided 720 into 120, and you will get your answer. :)

Answer:

Step-by-step explanation:

2 votes

First of all, x cannot ever equal -1 because if it does then in the original equation you'd be dividing by 0, which is not possible. anything divided by 0 is undefined.

I think the error was in the second step: x(x+1) = 2(x+1) because they didn't need to go from the first step to there. I'm assuming they multiplied both sides of the equation with (x+1) to get rid of the fraction, but since both sides have (x+1) as the denominator the (x+1) would've cancelled out instead of multiplying with the numerator.

Correction:

[tex]\frac{x}{x+1} = \frac{2}{x+1}\\(\frac{x+1}{1}) (\frac{x}{x+1}) = (\frac{2}{x+1})(\frac{x+1}{1}) \\x = 2[/tex]

as u can see, in the second step of this correction, the (x+1)s on both sides cancel out so only the numerators remain.

Hope this helps!

Answer:

Step-by-step explanation:

Required inequality:

The graph is attached

Some combinations:

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Answer:

y=-2x+7

Step-by-step explanation:

Please gimme brainliest!!

Answer:

y-3=-2(x-2)

Step-by-step explanation:

y-y1=m(x-x1)

y-3=-2(x-2)

Answer:

A) car one is linear because it decreases the same amount every year.  

    car two decreases by the same ratio so it's exponential.  

B) for car one y = -6,000x + 38,000 (y is the value after x years, -6,000 is what it changes by every year, and 38,000 is the amount of year 0)

   for car two y = (44,000) (17/20)x-1 (y is the value after x years, 44,000 is the amount on year 0, and 17/20 is the ratio)

C) after 5 years car one will be 8,000

    after 5 years car two will be about 16,860

Answer:

It is hard to see the numbers.

But I am pretty sure it is 6x+6.

Step-by-step explanation:

Hope this helps! :D

Answer:

b) y = f(x) = -3x+4

Step-by-step explanation:

Explanation

Given that the equation   9x+3y =12

Let 'x' be an independent variable and 'y' be the dependent variable then the function is of the form

        y = f(x)

      3 y = 12 - 9x

        [tex]y = \frac{-9x+12}{3}[/tex]

      y = -3x+4

The function represented by  y = -3x+4

Answer:

6%

Step-by-step explanation:

Simple interest:  A = P(1 + rt)

Solve for r: r = (1/t)((A/P) - 1)

Given:

A = $1500 + $5000 = $6500

P = $5000

t = 5 yrs

r = (1/5)((6500/5000) - 1)

= (1/5)(0.3)

= 0.06

0.06 = 6%

Answer:

-6

Step-by-step explanation:

is that quizzes join lol

Answer:

Step-by-step explanation:

7x+3  (-4x-2)=-6

remove the parenthesis

7x-12x-6=-6

-5x=0

x=0

How to solve your question- 7

Answer:

mean=56.28ml

The mean is greater than most of the observations because of the two outliers

Step-by-step explanation:

mean=56.28ml

The mean is greater than most of the observations because of the two outliers.

Answer:

C

Step-by-step explanation:

Answer:

A.P(t) = Po (1 + r)^t

P(t) = 1200( 1 + 0.024)^t

B. 1417 termites

Step-by-step explanation:

Rosanne and Jimmy are looking to purchase a house. They found one that they like, but the inspection report showed that there was a problem. The foundation has termites. The report states that the foundation of a house has 1200 termites. The termites grow at a rate of about 2.4% each day.

A. Formulate an equation in exponential form that represents the termite situation.

The formula for exponential growth or increase =

P(t) = Po (1 + r)^t

Where:

P(t) = Population growth after time t

P(o) = Initial Population = 1200 termites

r = Growth rate = 2.4% = 0.024

t = Time in days

Hence, the equation in exponential form that represents the termite situation is given as:

P(t) = 1200( 1 + 0.024)^t

B. The extermination is scheduled out for one week from the date of the report. Use your equation to determine how many termites will be in the home at the time of the extermination.

The time of extermination = 1 week

1 week = 7 days

Hence,

t = 7 days

P(t) = Po (1 + r)^t

P(7) = 1200( 1 + 0.024)⁷

P(7) = 1200(1.024)⁷

P(7) = 1416.7099449 termites

Approximately

= 1417 termites

Answer:

[tex]Density = 1.094g/cm^3[/tex]

Step-by-step explanation:

Given

[tex]Length = 17.7cm[/tex]

[tex]Width = 8.3cm[/tex]

[tex]Height = 13.0cm[/tex]

[tex]Mass = 2090g[/tex]

See attachment

Required

Determine the density of the wood

First, we calculate the volume of the wood.

[tex]Volume = Length * Width * Height[/tex]

Substitute values for Length, Width and Height

[tex]Volume = 17.7cm * 8.3cm * 13.0cm[/tex]

[tex]Volume = 1909.83cm^3[/tex]

The density is:

[tex]Density = \frac{Mass}{Volume}[/tex]

[tex]Density = \frac{2090g}{1909.83cm^3}[/tex]

[tex]Density = 1.094g/cm^3[/tex] --- approximated

Answer:

NO

Step-by-step explanation:

It is a right triangle if the thee sides satisfy the following pythagorean triple rule/theorem, c² = a² + b², where,

c is the longest side = 50

a = 15

b = 49

Let's check:

50² = 15² + 49²

2500 = 2626 (this is not true).

Therefore, the triangle is not a right triangle. The answer is NO.

Answer:B

Step-by-step explanation:

B because 3 is still x answers are just flipped

Answer:

angle 4

its on the outside and it is alternate

Answer:

d

Step-by-step explanation:

Answer:

x = 31

Step-by-step explanation:

The 3 angles in a triangle sum to 180°

Sum the 3 given angles and equate to 180

2x - 7 + 2x + 63 = 180, that is

4x + 56 = 180 ( subtract 56 from both sides )

4x = 124 ( divide both sides by 4 )

x = 31

Answer:

y³+16y²+60y

Step-by-step explanation:

Complete question

Emma receives a large box in the mail. The box is 10cm longer than it wide, and the height is 6 cm more than the width. Find the polynomial function for volume of the box

Let the length be x

Let the width be y

let the height be z

If the box is 10cm longer than it wide, then x = y + 10

Also if the height is 6 cm more than the width,

z = y + 6

Volume of the box = xyz

Substitute

Volume of the box = (y+10)(y)(y+6)

Volume of the box = (y+10)(y²+6y)

Volume of the box = y³+6y²+10y²+60y

Volume of the box =  y³+16y²+60y

Hence the required polynomial function is y³+16y²+60y

Note that the question asked was assumed

Answer:

720 miles

Step-by-step explanation:

let 'm' = # miles you can travel for $340

340 = 160 + .25m

180 = .25m

m = 180/.25

m = 720

Answer:

A

Step-by-step explanation:

f(2 – 3i) = (2 – 3i)^2

f(2 – 3i) = (2)^2 + (-3i)^2

f(2 – 3i) = 4 + (9)(-1)

f(2 – 3i) = 4 - 9

f(2 – 3i) = -5

These are functions in another function. The result of the function f(2-3i) is -5-12i

These are functions in another function. Given the function shown below;

f(x) =  x²

In order to determine  f(2 – 3i), you will replace as 2 - 3i to have:

f(2 - 3i) = (2 - 3i)²

Expand
f(2 - 3i) = 2² - 12i + 9i²
f(2 - 3i) =4 - 12i - 9
f(2 - 3i) = -5-12i

Hence the result of the function f(2-3i) is -5-12i

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Answer:

45 45 90 special triangle

7√2 = √98

x² + y² = 98

x = y

x² + x² = 98

2x² = 98

x² = 49

x = 7

y = 7

ANSWER: c

Correct equation is;

x³ - 7x² + 4x + 12 = 0

Answer:

All the real solutions are -1, 2 and 6

Step-by-step explanation:

The x-intercept of x³ - 7x² + 4x + 12 = 0 will occur where y is zero. This is where the curve crosses the x-axis on the graph of this function.

Now, I have plotted a graph of this function and attached it.

From the attached image, the curve crosses the x - axis at the points, x = -1, x = 2, x = 6.

Therefore all the real solutions are -1, 2 and 6