Determine two pairs of polar coordinates for the point (5, -5) with 0° ≤ θ < 360°.

Answer:

[tex]y=x+9[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]y=-x+1[/tex]

This equation can be written as [tex]y=-1x+1[/tex]. Now, we can identify clearly that -1 is the slope of this line. Because perpendicular lines have slopes that are negative reciprocals, we know that the slope of the line we're calculating for is [tex]-(\frac{1}{-1} )[/tex], or just 1.

Plug 1 into [tex]y=mx+b[/tex] as the slope:

[tex]y=1x+b[/tex]

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

2) Determine the y-intercept (b)

Recall that the y-intercept is the value of y when the line crosses the y-axis. It occurs when x is equal to zero.

The given point is (0,9), meaning that y is 9 when x is 0. Therefore, the y-intercept is 9. Plug this into [tex]y=x+b[/tex]:

[tex]y=x+9[/tex]

I hope this helps!

Answer:

320

Step-by-step explanation:

(2 / 50) * 8000 = 320

Answer:

320

Step-by-step explanation:

Answer:

i don't know its hard

Step-by-step explanation:

SORRY

We will see that the total volume of the fort of boxes is 70.75 ft^3

For a rectangular prism of length L, width W, and height H, the volume is:

V = L*W*H

Then we can find the volume of the 3 boxes shown.

The first one has dimensions of 3ft by 2ft by 2.5ft, so the volume is:

V = 3ft*2ft*2.5ft = 15ft^3

The second box has dimensions of 3ft by 1.75ft by 3ft, so the volume is:

V' = 3ft*1.75ft*3ft = 15.75 ft^3

The last box has dimensions of 4ft by 4ft by 2.5ft, so the volume is:

V'' = 4ft*4ft*2.5ft = 40ft^3

So the total volume of the fort is:

V + V' + V'' = 15ft^3 +  15.75 ft^3 + 40ft^3 = 70.75 ft^3

If you want to learn more about volume, you can read:

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Answer:

t = {(v - s) + ab} / a

Step-by-step explanation:

a = (v - s) / (t - b)

Make t the subject of the equation

a = (v - s) / (t - b)

Cross product

a * (t - b) = (v - s)

at - ab = (v - s)

Add ab to both sides

at = (v - s) + ab

t = {(v - s) + ab} / a

Answer:

~ 97 ft

Step-by-step explanation:

cos = adj/hyp

cos61 = adj/200

200 * cos61 = adj

adj = 96.961924049267406

~ 97 ft

The foot of the cable is 95 feet away from the base of the tree.

Trigonometric functions are mathematical functions that relate the angles of a right triangle to the ratios of the sides of the triangle.

We have,

The angle between the ground and the cable is given as 61º.

In a right triangle, the side opposite the angle (in this case, the height of the tree) is related to the hypotenuse (the length of the cable) and the adjacent side (the distance from the foot of the cable to the base of the tree) by the trigonometric function cosine.

Cosine(angle) = adjacent/hypotenuse

Cos(61º) = adjacent/200 ft

adjacent = Cos(61º)x200 ft

adjacent ≈ 0.475 x 200 ft

adjacent ≈ 95 ft

Therefore, the foot of the cable is 95 feet away from the base of the tree.

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The question is incomplete. The complete question is :

M and n are both integers. Select all the statements that are true if m and n are also equal to each other.

A. m - n = n - m

B. 0 = m - n

C. m + (-n) = m - n

D. m + n = 0

Answer :

A. m - n = n - m

B. 0 = m - n

C. m + (-n) = m - n

Explanation :

It is given that m and n are integers and they both are equal to each other.

i.e. m = n

Therefore for option (A),

m - n = n - m

m - m = m - m   (since m and n are equal)

0 = 0

Therefore, the statement (A) is true.

For option (B),

0 = m - n

0 = m - m      (since m and n are equal)

0 = 0

Therefore, the statement (B) is true.

For option (C),

m + (-n) = m - n

m + (-m) = m - m    (since m and n are equal)

m - m = m - m

0 = 0

Therefore, the statement (C) is true.

Now for option (D),

m + n = 0

m + m ≠ 0    (since m and n are equal)

2m ≠ 0

Therefore, the statement (D) is false.

Hence, the options (A), (B) and (C) are true.

Answer:

{a universal set is a set which contains all objects, including itself}

Step-by-step explanation:

a) you will create two circle, crossing over each other, and shade both the "A" the "B" and the middle space.

b) (AUB) means the same thing as universal set, but its called union, infact if you draw this out in Venn Diagrams this will be the exact same as answer (a).

c) A n B : mean A 'intersection' with B, so here you will only shade the area where both circles meet.

d) i am not sure of this one, sorry

Answer:

4^5

4 by the power of 5

Step-by-step explanation:

4 times the amount of 4's

4 times 5 does not equal 4^5 and is not the answer

it is 4 by the power of 5

Answer:

answer will be

Step-by-step explanation:

12

option d

Answer:

b

Step-by-step explanation:

10.5 rounded to 14.25 =15 so that is called natural number

same i pass im at like 70% Step-by-step explanation:

Answer:

the fourth one is correct

Answer:

for each x, the difference in the y value it has an origin at (0,5)

Step-by-step explanation:

if x equals 0, y equals 5.

if x equals 1, y equals 7 and so on

if x equals -1, y equals -5 and so on.

Answer:

I dont know to be honest I dont remember so yeahmmmm ummmmm

Answer:

clover

Step-by-step explanation:

because

The measure of angle ∠x = 28°.

We have a geometrical figure [Refer to the image attached in the end].

We have to prove that x = 28°.

The measure of straight angle is 180°.

According to the question -

Line DLG is a Straight line. Therefore -

2∠x + 124° = 180°

2∠x = 56°

∠x = 28°

Hence Proved.

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The expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].

Then Value of b is - 12.

Option(B) is correct answer.

An expression is a mathematical phrase combining numbers and/or variables using mathematical operations. Both sides of an equation are expressions.

According to the question,

The expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].

[tex]2x+(x-7)^{2}=x^{2} +bx+49[/tex]

⇒ [tex]2x+(x-7)^{2}=x^{2} +bx+49[/tex]

⇒[tex]2x+x^{2} -14x+49=x^{2} +bx+49[/tex]

⇒ [tex]x^{2} -12x+49=x^{2} +bx+49[/tex]

⇒[tex]-12x=bx[/tex]

⇒ [tex]b=-12[/tex]

∴  [tex]b=-12[/tex]

Hence, the expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].

Then Value of b is - 12.

Option(B) is correct answer.

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Answer:

Area of the figure = 200 cm²

Step-by-step explanation:

Area of rectangle A = Length × Width

                               = 5×9

                               = 45 cm²

Area of rectangle B = 5 × 11

                               = 55 cm²

Area of rectangle C = 5 × 9

                               = 45 cm²

Area of rectangle D = 5 × 7

                               = 35 cm²

Area of rectangle E = 10 × 2

                                = 20 cm²

Total area of the figure = 45 + 55 + 45 + 35 + 20

                                    = 200 cm²

Answer:

[tex]surface \: area = area \: of \: base + area \: of \: the \: 4 \: triangular \: faces \\ = (l \times w) + 8 \times ( \frac{1}{2} \times base \times height) \\ = (4 \times 4) + 8 \times ( \frac{1}{2} \times 2 \times 7) \\ = 16 + 56 \\ = { \boxed{72}} \: square \: millimeters[/tex]

Answer:

Step-by-step explanation:

I don't know if, just because I'm a high school math teacher, I way over-think things, but the method I used to come to the answer here is crazy and convoluted...but it works. Follow me here while I explain it.

I put that drawing you have there in a coordinate plane and made a point D at the end of the segment that begins with A; made a point E at the end of the segment that begins with B. Putting that into a coordinate plane with E at the origin gives A coordinates of (0, 2); B (1, 2); D (2, 1). We need to find the coordinates of C to use later. That's the first job.

When you put this into a coordinate plane, it allows you to write the equations of the segments AD and BE.

AD: y = -1/2x + 2

BE: y = 2x

If you set these equal to each other, you can see where the lines intersect (the coordiantes of this point) by solving for x and y.

-1/2x + 2 = 2x and

2.5x = 2 so

x = .8

And if x = .8, we can sub that into either equation to find y:

y = 2(.8) so

y = 1.6

So the coordinates of C are (.8, 1.6).

Now we can find the lengths of each of these segments AC and BC. We already know that the length of segment AB is 1.

Find the lengths of each of these segments using the coordinates for each in the distance formula. The lengths are as follows:

AC = .8944

BC = .4472

This allows me to use the Law of Cosines to find the measure of angle A.

Angle A = 26.56°

Now I can use the area formula for a triangle that says

[tex]A_{triangle}=\frac{1}{2}AB*ACsinA[/tex] and

[tex]A=\frac{1}{2}(1)(.8944)sin26.56[/tex] so

A = .1999 units squared

Answer: In the figure AB is about 8.4 inches and AC is about 13.05 inches.

Step-by-step explanation: We can use cosine to find the hypotenuse. [tex]cos(40)=\frac{10}{x} \\cos(40) (x)=\frac{10}{x}(x)\\cos(40) (x) =10\\\frac{cos(40) (x)}{cos (40)} =\frac{10}{cos (40)} \\x=\frac{10}{cos(40)}[/tex]

Using a calculator x is about 13.05

Using tangent we can find the length opposite of <C

[tex]tan(40)=\frac{x}{10} \\tan(40) (10)=\frac{x}{10}(10)\\tan(40) (10) = x[/tex]

Using a calculator x would be about 8.4

Answer:

Step-by-step explanation:

Answer:

(T - 1)(x, y) = (x - 4, y - 3)

Step-by-step explanation:

For a given transformation:

T(x, y) = (x', y')

the inverse transformation is defined by:

(T - 1)(x', y') = (x, y)

So, if our transformation is:

T(x, y) = (x + 4, y + 3)

Then for the inverse transformation, we should have:

(T - 1)(x + 4, y + 3) = (x, y)

So the inverse transformation reduces the x-value by 4, and reduces the y-value by 3.

Writing the inverse transformation for a generic (x, y) point, we get:

(T - 1)(x, y) = (x - 4, y - 3)

Answer:

a ) 0.03

b) 2.64

c) 1.14

Step-by-step explanation:

Given :

a) 0.001

Now need to find  square root of 0.001

[tex]\sqrt{0.001} =0.03[/tex]

Similarly

b)

[tex]\sqrt{7.01} =2.64[/tex]

c)

[tex]\sqrt{1.31} =1.14[/tex]

Therefore, answer will be :

a ) 0.03

b) 2.64

c) 1.14

Answer: a. 0.03, b. 2.65 c. 1.14

Step-by-step explanation:

You can't find the square root of these manually, so I used a calculator to solve

Answer:

Step-by-step explanation:

Degree of quadratic equation is 2

So, y = (x + 2)² - 6    ; y = x² - 4x + 2  & y = -(x -2)² + 5  are quadratic equation

(a + b)² = a² + 2ab + b²

y = (x + 2)² - 6

y = x² + 2*x*2 + 2² -6

y= x² + 4x + 4 -6

y= x² + 4x - 2

Degree = 2    

y = -(x - 2)² + 5

y = -[ x² - 2*x*2 + 2²] + 5

y = -[x² - 4x + 4)+5

y = -x² + 4x - 4 + 5

y = -x² + 4x + 1

Degree = 2

Answer:

2

Step-by-step explanation:

There are 4 x's at 1 mile so he took 4   1 mile hikes

There are 2 x's at 1 1/4 mile so he  took 2  1 1/4 mile hikes

We want to know how many more 1 mile hikes than 1 1/4 mile hikes

4 -2 = 2

Step-by-step explanation:

my horses are working and in the image above

Answer:

The height of the water increases 2 inches per minute. Or A

Step-by-step explanation:

Edge

Answer: A ( The height of the water increases 2 inches per minute)

Answer:

J - (0, 4) K - (2, 3) L - (3, 4) M - (4, 1) N - (1, 2)

Step-by-step explanation:

So, the first number, is the value on the x axis, The second number, is the value on the y axis.

So lets look at each point. J is at 0 on the x axis, and 4 on the y axis.

K is at 2 on the x axis, and 3 on the y axis.

L is at 3 on the x axis, and 4 on the y axis.

M is at 4 on the x axis, and 1 on the y axis.

Finally, n is at 1 on the x axis, and 2 on the y axis.

Since we write coordinates as (x, y):

K is (2, 3)

L is (3, 4)

M is (4, 1)

N is (1, 2)

Hope this helps!

I think its 6 cm for the 3rd side

Answer:

the constant is 4 because you always add 4 and it stays 4 no matter what you do to the equation

Step-by-step explanation:

Answer:

It is 4

Step-by-step explanation: