Point T is located at (-8, 5). Where is T' after a 270 degree clockwise rotation?

Answer:

7.2 units

Step-by-step explanation:

[tex]d=\sqrt{(x_{2}-x_{1})^2 + (y_{2}- y_{1})^2 } \\d= \sqrt{(-4+8)^2 + (-5-1)^2} \\d= \sqrt{4^2 + (-6)^2} \\d=\sqrt{16+36} \\d=\sqrt{52} \\d=7.22[/tex]

Answer:

d

Step-by-step explanation:

Answer:

[tex]\frac{2x}{\sqrt{4x^{2} -1} }[/tex]

Step-by-step explanation:

This function can be written as:

[tex]\frac{1}{cos(sin^{-1}(\frac{1}{2x})) }[/tex]

[tex]sin^{-1}(\frac{1}{2x})[/tex] means the angle whose sine is 1/(2x).  This implies that the denominator is the cosine of the angle whose sine is 1/(2x)

Think of a right triangle and consider the angle with this sine.  Then the opposite side has length 1 and the hypotenuse has length  2x.  The Pythagorean theorem then implies that the adjacent side is

[tex]\sqrt{4x^{2} -1}[/tex]

The cosine of the angle is adjacent over hypotenuse, so the cosine is

[tex]\frac{\sqrt{4x^{2} -1}}{2x}[/tex]

The secant is the inverse of the cosine, so the answer is

[tex]\frac{2x}{\sqrt{4x^{2} -1} }[/tex]

Answer:

The correct answer would be B I believe

Step-by-step explanation:

Answer:

No. pp you can fit in a van: 6,

No. pp you can fit in a bus: 20

Step-by-step explanation:

Let v = # of pp in vans, and let b = # of pp in buses:

8v + 9b = 228,

4v + 5b = 124

If we solve this system of equations by substitution, we isolate the first eq. for v and then substitute into the bottom eq:

v = 228-9b/8,

Substitute v = 228-9b/8 into bottom eq:

[4 * 228-9b/8 + 5b = 125]

[228+b/2=124]

[228+b = 248]

[b = 20]

Now substitute 20 to find no. of pp in the vans:

v = 228 - 9(20)/8 = 228  - 180/8 = 48/8 = 6

Answer:

£3692

Step-by-step explanation:

A = p(1 + r/n)^nt

Where,

A = future value

P = principal = £2350

r = interest rate = 4.2% = 0.042

n = number of periods = 1(annual)

t = time = 4 years

A = p(1 + r/n)^nt

= 2350(1 + 0.042/1)^1*4

= 2350(1 + 0.042)^4

= 2350(1.042)^4

= 2350(1.5789)

= 2770.42

A = £2770.42

Total years = 10

Remaining years = 10 - 4

= 6 years

Remaining 6 years

P = £2770.42

r = 4.9% = 0.049

n = 1

t = 6

A = p(1 + r/n)^nt

= 2770.42(1 + 0.049/1)^1*6

= 2770.42(1 + 0.049)^6

= 2770.42(1.049)^6

= 2770.42(1.3325)

= 3691.59

A = £3691.59

Approximately £3692

Answer:

D) 282

Step-by-step explanation:

Answer:

Divide by 10 on each side.

The answer is the third option, divide by 10 on each side.

I hope you wouldn't mind giving me brainliest!!

Answer:

-12x^2+6x

Step-by-step explanation:

-3x(4x-2)

-12x^2+6x

The standard form of the polynomial is -12x² +6x.

A polynomial is an equation made up of exponents, constants, and variables that is combined using mathematical operations including addition, subtraction, multiplication, and division.

The given expression is  – 3x (4x - 2)​

Solving further,

–3x (4x - 2)​

=-12x² +6x.

The standard form of the polynomial is -12x² +6x after multiplying  – 3x (4x - 2)​

To learn more about the Polynomials;

brainly.com/question/11536910

#SPJ2

Answer:

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:  (−8,−27)

Equation Form: x=−8,y=−27

Answer:

3.03*[tex]10^{-4}[/tex]

Step-by-step explanation:

Answer:

x= (8/3,0)

y=(0,-8)

Step-by-step explanation:

Answer:

slope = 3/1

y-intercept is (0, -8)

Step-by-step explanation:

6x - 2y = 16

-2y = -6x + 16

y = -6/-2x + 16/-2

y = 3x - 8

Answer:

The answer to 2 is No, because the sum of two sides must be larger than the third.

Answer:

Maggie is incorrect.

Step-by-step explanation:

PEMDAS tells us the order of operations and the steps of solving a mathematical statement. It states that exponents must be performed before multiplication or division.

P - Parentheses

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Therefore, to solve 12÷3² correctly, 3² needs to be simplified to 9 before dividing.

I hope this helps!

i think it would be -8x - 10.

Answer:

b) 256 inches

Step-by-step explanation:

8x5x2 = 80   (top & bottom)

8x5x2 = 80    (front & back)

8x8x2 = 128    (gross area of 2 sides)

4x4x2 =32      (delete this for side cutouts) Guessing the cutoff dimension on

                                                                       left side is 4m inch.

80+80+128-32 = 256 inches

Answer:

only katie

Step-by-step explanation:

34 is not a term in the sequence but 41 is, so in this case, only katie is correct

Answer:

THIS IS NOT A MATH QUESTION HOWEVER GIVE MY. ANSWER AS BRAINLIST ANSWER

Answer:

It would be 18-6 = 12

Step-by-step explanation:

Answer:

C, E

Step-by-step explanation:

We are looking for 12 dollars as a result of her spending 6 of 18.

A = 24

B = -12

C = 12 CORRECT

D = -24

E = 12 CORRECT

F = -12

Answer:

-3/12

Step-by-step explanation:

Answer:

a. 3(16-21) - 4(8-18) +5(7-12) = -15 + 40 - 25 = 0

b. 3(21-24) - 5(7-12) + 8(4-6) = -9 + 25 - 16 = 0

Answer:

the answer you can try is

186x-7

Answer:

1853

Step-by-step explanation:

6(80/4+2*3+5)-7, 6(31)-7, 1860-7=1853

Answer:

Step-by-step explanation:

Janelle expanded the expression as shown below. -4(-3x + 2/7) = -12x - 3 5/7 What errors did she make?

We are given the expression:

-4(-3x + 2/7)

Solving this expression:

Expanding the brackets

-4 × -3x + -4 × 2/7

12x - 8/7

12x - 1 1/7

Answer:

Yes

Step-by-step explanation:

We have two properties for our question :

(4, 27)

y = 3x + 15

We are being asked whether the point (4, 27) is a solution of y = 3x + 15

So how do we figure this out? Well, what we have to know first that (4, 27)  represents a variable, 4 which is the run on the graph, represents x in a solution. And 27 which is the rise on the graph, represents y in the solution. So when asking for a solution with two points, all we must do is substitute x and y for the two coordinates.

y = 3x + 15

y = 27 and x = 4

27 = 3(4) + 15

27 = 12 + 15

27 = 27

Since this equation is true with the respected variables, therefore signifies that (4,27) is a solution of y = 3x + 15

Answer:

yeee

Step-by-step explanation:

Answer:

b)-3

c)17

d)-11

Step-by-step explanation:

4,-7)

-3

Answer:

C

Step-by-step explanation:

We're given the adjecent and we're looking for the hypotenuse so we'll have to use cosine ratio.

11 / cos 38 = 13.959.....

x = 14.0

We can also use the tangent ratio to look for the opposite and then use pythagorean to find the hypotenuse.

11(tan 38) = 8.594......

8.594.....² + 11² = 194.859......

Square root of 194.859..... = 13.959.......

Answer:

8

Step-by-step explanation: