SOMEONE PLEASE ANSWER ALL 7 QUESTIONS DUE IN 10 MINUTES WILL MARK AND 5 STARS!!!

Answer:

A water taxi travels around an island in a path that can be modeled by the equation y =0.5(x - 16). A water skier is skiing along a path that begins at the point (6,6) and ends at the point (8. - 4).

a. Write a system of equations to model the problem.

b. Is it possible that the water skier could collide with the taxi? Explain

Step-by-step explanation:

Answer:

all real numbers greater than or equal to 2

which is [2, infinite)

Answer:

The equation of perpendicular bisector of the line segment passing through  (-5,3) and (3,7) is: [tex]y = -2x+3[/tex]

Step-by-step explanation:

Given points are:

(-5,3) and (3,7)

The perpendicular bisector of line segment formed by given points will pass through the mid-point of the line segment.

First of all we have to find the slope and mid-point of given line

Here

(x1,y1) = (-5,3)

(x2,y2) = (3,7)

The slope will be:

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{7-3}{3+5}\\m = \frac{4}{8}\\m = \frac{1}{2}[/tex]

The mid-point will be:

[tex](x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\ = (\frac{-5+3}{2},\frac{3+7}{2})\\= (\frac{-2}{2},\frac{10}{2})\\=(-1,5)[/tex]

Let m1 be the slope of the perpendicular bisector

Then using, "Product of slopes of perpendicular lines is -1"

[tex]m.m_1 = -1\\\frac{1}{2}.m_1 = -1\\m_1 = -1*2\\m_1 = -2[/tex]

We have to find the equation of a line with slope -2 and passing through (-1,5)

The slope-intercept form is given by:

[tex]y = mx+b\\y = -2x+b[/tex]

Putting the point (-1,5) in the equation

[tex]5 = -2(-1)+b\\5 = 2+b\\b = 5-2\\b = 3[/tex]

The final equation is:

[tex]y = -2x+3[/tex]

Hence,

The equation of perpendicular bisector of the line segment passing through  (-5,3) and (3,7) is: [tex]y = -2x+3[/tex]

Answer:

inequality is x < 6

Step-by-step explanation:

Answer:

angle SRP AND ANGLE TUW

Answer: 2.45

Step-by-step explanation:

I use pythagorean theorem after i found the total of leg A and leg B

Answer: 5 feet= __5/3 0r 1 2/3____ yards

Step-by-step explanation:

Step 11 yard = 3 feet

3 feet = 1 yard

5 feet = 5feet  x 1 yard/ 3feet

= 5/3yards  

Step 2  To convert 5/3 yards   to a mixed fraction,

1. We first Divide the numerator, 5  by the denominator, 3 giving us  a whole number and a remainder

5/3 = 1 remainder 2

2.then we write the whole number and put the remainder 2 above the denominator 3 giving us

5/3 = 1 2/3

such that when you multiply the mixed fraction 3 x 1  and add 2 it gives back the improper fraction of 5/3

Answer:

−r^3+r^2+r

Step-by-step explanation:

Let's simplify step-by-step.

r^2(r+1)−r(2r^2−1)

Distribute:

=(r^2)(r)+(r^2)(1)+−2r^3+r

=r^3+r^2+−2r^3+r

Combine Like Terms:

=r^3+r^2+−2r^3+r

=(r^3+−2r^3)+(r^2)+(r)

=−r^3+r^2+r

Sorry i could'nt help

Answer:

1.11

Step-by-step explanation:

5.24+10.65=15.89

17-15.89= 1.11

good luck

Answer:

1.11

Step-by-step explanation:

hope this helped you! :)

Answer:

x = -6

Step-by-step explanation:

undefined slope is always an x = line

so just do x = whatever x is

hope this helps <3

Answer:

5484 gallons

Step-by-step explanation:

Given that:

Delivery in 1 day = 457 dozen gallons

g = number of gallons delivered on that day

Recall :

1 dozen = 12

Therefore, the number of gallons delivered in 1 day :

457 gallons * 12 = 5484 gallons

Answer:

read explanation

Step-by-step explanation:

rearrange equations to form y=mx+b

-2x+4=2y

-x+2=y

-y=-2x-5

y=2x+5

use these equations to find slope and y intercepts, and match those with the right graph

slope of first: -1

slope of second: 2

y-int of first: 2

y-int of second:5

Answer: t= 11.5

Step-by-step explanation: 5 + (-11.5+3) = 3.5

Answer:

T = -3.7

Step-by-step explanation:

We begin with the given equation.

5(t+3)=-3.5

Distribute 5 throughout parentheses.

5t + 15 = -3.5

Move 15 to the other side and switch signs.

5t = -3.5 - 15

Combine like terms.

5t = -18.5

Divide by 5t.

t = -3.7

Answer:

432

Step-by-step explanation:

304+510+482=  1296

1296/3=432

Answer:

$600

Step-by-step explanation:

Multiply 50, 12 times, you get 600. Add 100, and you get 700.

Answer is $700

Answer:

Step-by-step explanation:

Error:

Percent error:

Step-by-step explanation:

[tex]\% \: error = \frac{198 - 172}{172} \times 100 \\ = \frac{26}{172} \times 100 \\ = 15\%[/tex]

Answer: C. x + y = y + x

Step-by-step explanation:

Answer:

A. (x + y) + 3 = x + (y + 3)

Step-by-step explanation-

The associative property of addition allows the numbers grouped within the parenthesis to be switched with the other numbers in the equation to make the problem easier to solve.

Hope this helped!

Answer:

A 22 inches

Step-by-step explanation:

Pls just trust me lol

Answer:

point K is reflected across the y-axis to create point K'

Answer:

B. Substitution Method

Step-by-step explanation:

You already have what "y" equals, so you can substitute that in for the other equation on top.

Answer: The line is dotted and shaded above

Answer:

3/10

Step-by-step explanation:

2/3 of 9= 6. So 2/3 of the 9/10=3/10

Answer: La durée de la vol entire est 560 millions de miles. La durée par hour est 2.19 millions de miles par hour.

Step-by-step explanation: Je ne sais pas sûr que Je comprends la question exactement. Si on doit trouver la durée par hour, il faut divider 560000000 par 255.

Answer: 7 whole and 1/11

Step-by-step explanation: Make 1 9/13 into a improper fraction and flip 1/12 and multiple. Then simplify.

Answer:

Step-by-step explanation:

tan P = [tex]\frac{16}{12}[/tex] = [tex]\frac{4}{3}[/tex]

tan Q = [tex]\frac{3}{4}[/tex]

Answer:

30

Step-by-step explanation: First take the fastest speed of the squirrel, and then you multiply it by the percentage (250%). You can this by moving on decimal point to the left from the zero (250% = 2.50). Then multply the speed of the squirrel by said percentage of the girrafe,

12 x 2.5 = 30

Answer:

99.12 lbs are in 45 kilograms.

Step-by-step explanation:

❃We can solve using proportion.

[tex] \frac{1 \: lbs}{.454 \: kg} = \frac{x}{ 45 \: kg} \\ \\ \frac{.454x}{.454} = \frac{45}{.454} \\ \\ x = 99.12[/tex]

➼ I rounded to the nearest hundredth