Solve for x.
-2(-x – 3) – 4x – 1= 13
Answer: 1
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Terms

As per the reflexive property two angles , lines or line segments are said to be congruent with themselves . Hence we say that QR = QR .

Answer:

D. Rotation 270 degrees clockwise.

Step-by-step explanation:

The transformation used in the coordinates below was a rotation 270 degrees clockwise, whose definition is:

[tex](x', y') = (r\cdot \cos (\theta - 270^{\circ}), r\cdot \sin (\theta -270^{\circ}))[/tex]

Please note that clockwise rotation is represented by the minus sign.

Where [tex]r[/tex] is the norm of original point, defined as:

[tex]r =\sqrt{x^{2}+y^{2}}[/tex], [tex]\forall \,x,y\in \mathbb{R}[/tex]

And [tex]\theta[/tex] is the direction of the point centered at origin and with respect to +x semiaxis, measured in sexagesimal degrees:

[tex]\theta = \tan^{-1} \frac{y}{x}[/tex]

Now we proceed to prove the statement:

[tex]L (x, y) = (-1, 9) \longrightarrow L'(x,y)[/tex]

Norm

[tex]r = \sqrt{(-1)^{2}+9^{2}}[/tex]

[tex]r = \sqrt{82}[/tex]

Direction

The point is located on 2nd quadrant, which means that [tex]90^{\circ} \leq \theta \leq 180^{\circ}[/tex]. Then:

[tex]\theta = \tan^{-1}\left(\frac{9}{-1} \right)[/tex]

[tex]\theta = 96.340^{\circ}[/tex]

Rotation

[tex]L'(x,y) = (\sqrt{82}\cdot \cos (96.340^{\circ}-270^{\circ}),\sqrt{82}\cdot \sin (96.340^{\circ}-270^{\circ}))[/tex]

[tex]L'(x,y) = (-9, -1)[/tex]

[tex]M(x,y) = (-8,8) \longrightarrow M'(x,y)[/tex]

Norm

[tex]r = \sqrt{(-8)^{2}+8^{2}}[/tex]

[tex]r = \sqrt{128}[/tex]

Direction

The point is located on 2nd quadrant, which means that [tex]90^{\circ} \leq \theta \leq 180^{\circ}[/tex]. Then:

[tex]\theta = \tan^{-1}\left(\frac{8}{-8} \right)[/tex]

[tex]\theta = 135^{\circ}[/tex]

Rotation

[tex]M'(x,y) = (\sqrt{128}\cdot \cos (135^{\circ}-270^{\circ}),\sqrt{128}\cdot \sin (135^{\circ}-270^{\circ}))[/tex]

[tex]M'(x,y) = (-8, -8)[/tex]

[tex]N(x,y) = (-3,5)\longrightarrow N'(x,y)[/tex]

Norm

[tex]r = \sqrt{(-3)^{2}+5^{2}}[/tex]

[tex]r =\sqrt{34}[/tex]

Direction

The point is located on 2nd quadrant, which means that [tex]90^{\circ} \leq \theta \leq 180^{\circ}[/tex]. Then:

[tex]\theta = \tan^{-1}\left(\frac{5}{-3} \right)[/tex]

[tex]\theta = 120.964^{\circ}[/tex]

Rotation

[tex]N'(x,y) = (\sqrt{34}\cdot \cos (120.964^{\circ}-270^{\circ}), \sqrt{34}\cdot \cos (120.964^{\circ}-270^{\circ}))[/tex]

[tex]N'(x,y) = (-5, -3)[/tex]

Hence, the correct answer is D.

Answer:

D, 122°F

Step-by-step explanation:

°F = 9/5°C + 32

°F = 9/5(50) +32

°F = 90 + 32

°F = 122

Answer: $7,500

Step-by-step explanation:

Answer:

C. -7.4

Step-by-step explanation:

-(5(-2) + 2) + (3(3) + 2(-4.2))

(-10+2) + (9 + -8.4)

-8 + 0.6

-7.4

Answer:

C. f(x)=x-1/x+1

Step-by-step explanation:

edge2020

Functions can be represented by tables and equations

The function represented by the table is f(x) = x + 1

From the table, we have the following ordered pairs

(x,y) = (-1,0) (0,1) (1,2) and (2,3)

Notice that the difference between the x and y values is 1.

So, we have:

y - x = 1

Add 1 to both sides

y = x + 1

Express as a function

f(x) = x + 1

Hence, the function represented by the table is f(x) = x + 1

Read more about linear functions at:

https://brainly.com/question/15602982

Answer:

x = 7

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ÷)

Answer: 1:600

Step-by-step explanation:

From the question, we are informed that 12 m object is represented in a picture as being 2 cm.

To find the scale used, we needed to convert 12m to cm. Since 100cm = 1m, then 12m = 12 × 100 = 1200cm.

Therefore, a 1200cm object is represented in a picture as being 2 cm. The scale will be:

= 2/1200

= 1/600

= 1:600

This means that 1 centimeter in the picture represent 600 centimeter or 6 meters.

Answer:

x²+12x+27

Step-by-step explanation:

put the intercepts in intercept form which is a(x-p)(x-q)

That would be (x-3)(x-9)

Foil x²-9x-3x+27

Solve x²-12x+27

Answer:

18 liters

Step-by-step explanation:

We can use ratios to solve

12 liters      x liters

----------- = -----------

2 days       3 days

Using cross products

12 *3 = 2x

36 =2x

Divide by 2

36/2 = 2x/2

18 =x

18 liters

Answer:

y=mx+b

Step-by-step explanation:

Answer:

[tex]32b^{3} +56b^{2}[/tex]

Step-by-step explanation:

Answer:

32b^3+56b^2

Step-by-step explanation:

distribute 8b^2 through the ()

32b^3+56b^2

Answer:

32 watermelons

Step-by-step explanation:

Answer:

b = c/a

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer:

G=12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Step 1:

g - 3 = 9     Equation

Step 2:

g = 9 + 3      Add 3 on both sides

Answer:

g = 12

Hope This Helps :)

Answer:

You write 75% as a decimal

which would be: 0.75

Answer:

.75 is it as a decimal

Step-by-step explanation:

When you have a percentage you always move two places to the left.

For example 67% , the decimal would be .67 ---->    _6_7% the lines are showing the two places you move. Also if you have 157% as a decimal it is 1.57 always move two places to the left no matter how big the percent is!!

Answer:

51

Step-by-step explanation:

11+(-7)^2-9 would be

11+49-9    (49 because 7^-2 = 49)

60-9 = 11

Answer:

51

Step-by-step explanation:

According to PEMDAS, the first step would be to take care of the exponents. -7 times -7 is positive 49, so the equation would look like this:

11+49-9    From there, just add and subtract as normal!

60-9

51

Hope this helps!

Answer:

69 3/4

Step-by-step explanation:

The stock market goes down to 50 3/4 at the beginning of the day

At the end of the day it goes up to 120 1/2

Therefore total change in the stock market from the beginning to the end of the day can be calculated as follows

= 120 1/2 - 50 3/4

= 241/2 - 203/4

= 279/4

= 69 3/4

Hence the total change in the stock market from the beginning to the end of the day is

69 3/4

Answer:

I really don't know look it up

Answer:

should be [0, to positive infinity)

Step-by-step explanation:

The equation would be:

y = 3x + 15

1) Table: It is pretty easy to do so, just plug in 0, 1, 2, 3, etc. for x and solve for y

2) graph (find slope): slope would be 3 shells/day that has a y-intercept of 15

3) you already defined the variables

4) 3(5)+15 = 15+15 = 30 seashells

I hope this helps!

Answer:

They will hit 180 seconds in 118.6 year

Step-by-step explanation:

Let M be the record for the mile (in seconds)

Let x be the year after 1958

So, x=(year)-19548

We are given that In the​ half-century since​ then, the record has decreased by 0.5 seconds per year

So, slope = m = 0.5

Now we will use point slope form

y = mx+c

So, we can express M as,

[tex]M=239.3-0.5 \times x[/tex]

Now we are supposed to find when they will hit 180 seconds

Substitute M = 180 in equation

180=239.3-0.5x

x=118.6

So, they will hit 180 seconds in 118.6 year

Answer:

use photmath or sum

Step-by-step explanation:

Answer:

a. given

b. addition property of equality

c. multiplication property of equality

Answer:

C is the answer

Step-by-step explanation:

Its hard to explain, but i'm 100% sure.

Answer:

All of them

Step-by-step explanation:

if you look closely at the shame and decipher each option they all come into form for that shape.

Hope Hopes^^

Barry

Answer:

21b + 9

Step-by-step explanation:

7b(2 + 7b) + (7b + 7)

7b+7b+7b=21b

2+7=9

21b + 9

Answer:I will give you an answer ,but I can't unless I can see the graph

Step-by-step explanation:

Answer:

$ 6.52

Step-by-step explanation:

marked price =16.85

discount 20%=3.37

net payable .=.13.48

Amount paid==$ 20

payable .=====13.48

balance to receive=$ 6.52  

Answer:

2p + 1.25z ≤ 15

Step-by-step explanation:

p=pizza

z=pretzel