3) Solve this system of linear equations by elimination.

y=x-1
2x-y=0

*x=-1,y=-2
*x=1,y=2
*x=2,y=1
*x=-2,y=-1

Answer:

Step-by-step explanation:

The value of cos(x/2) is required.

The required value is [tex]\cos(x/2)=-\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]

The given value is

[tex]\tan x=\dfrac{1}{2}[/tex] where x is in quadrant III.

From trigonometric identities we have

[tex]\sec^2x=1+\tan^2x\\\Rightarrow \sec^2x=1+(\dfrac{1}{2})^2\\\Rightarrow \sec^2x=\dfrac{5}{4}\\\Rightarrow \cos^{2}x=\dfrac{4}{5}\\\Rightarrow \cos x=\dfrac{2}{\sqrt{5}}[/tex]

If x lies in quadrant III then x/2 lies in quadrant II.

Cos is negative in quadrant III so,

[tex]\cos x=-\dfrac{2}{\sqrt{5}}=-\dfrac{2\sqrt{5}}{5}[/tex]

[tex]\cos \dfrac{x}{2}=\pm \sqrt{\dfrac{1+\cos x}{2}}\\ =\pm\sqrt{\dfrac{1-\dfrac{2\sqrt{5}}{5}}{2}}\\ =\pm\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]

Since, x/2 lies in the second quadrant and cos (x/2) is negative.

The required value is [tex]-\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]

Learn more about trigonometry:

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Answer: 2

Step-by-step explanation: 1/2 x 4 = 4/2 = 2/1 = 2.

Answer:

#1

x intercept is -5

y intercept is -5

#2

y=8x

Step-by-step explanation:

Answer:

B.) -4

Step-by-step explanation:

y=mx+b

b is equal to the y-intercept.

Answer:

-4

Step-by-step explanation:

The slope intercept form is y = mx + b.

m = slope

b = y-intercept

since b = -4, the y-intercept is -4

Answer: x = -29

Step-by-step explanation:

-0.59x+0.39x=5.8

Collect like terms

-0.2x = 5.8

Divide both sides of the equation by -0.2

x = -29

Response to user in comments:

-0.59+0.39=-0.2 that is a fact

-0.2/-0.2=1 that is a fact

5.8/-0.2= - 29 that is a fact

These are the facts about the steps of the equation. Solving Steps for Solving the Equation

Answer:2x-5y=-15

Step-by-step explanation:

Answer:

7488 inches

Step-by-step explanation:

I think that this is the correct answer. The reason is that you have to multiply 72 x 104. I´m not 100% sure.

The required maximum area of the biggest possible square is with sides of a whole number length of 7396 inches².

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
Area of the leftover sheet = 72  × 104 = 7488 inches²

area of the square = 7488
a² = 7488
a = 86.53

Somehow, for  the biggest possible square to be with sides of whole number length,
The area is given as,
= 86²
= 7396 inches²

Thus, the required maximum area of the biggest possible square be with sides of whole number length  7396 inches².

Learn more about the surface area here:

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#SPJ2

Answer:

2+2=4

4+18=22

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

a

Answer:

Step-by-step explanation:

a can't be an integer

8/√2 doesn't reduce to an integer. It will give you 4*√2 * √2/√2 = 4√2

-√18/√2 = -√(3*3*2)/√2 = -3(√2)/√2 = -3

At best you will get 4√2 - 3

a = 4√2

b = - 3

Edit

b is correct. the answer for b = -3

a  can't be done giving an integer answer. My best guess is 4 but that is not the correct answer.  You could write it as (4 - 3)√2

My advice to you is to present it to your instructor and see what he/she comes up with.

4.)    top row: 1,   2,    4,     6,      8,    10

bottom row: 25, 50, 100, 150, 200, 250

5.)    top row: 1,    2,     4,      6,      8,     10

bottom row: 50, 100, 200, 300, 400, 500

Answer:

92 degrees

Step-by-step explanation:

<HEF and <AED are vertical angles.

Answer: 19.5 N

Step-by-step explanation:

Answer:

The answer is 19.2N

Step-by-step explanation:

F=m a

F=64*0.3=19.2N

Answer:

270°

Step-by-step explanation:

We know that a full circle is 360°, the shape of a clock, and that the clock is divided into 12 different sections.

Our equation would be: 360 ÷ 12 = 30

3:05 is at the 1 hand and 3:50 is at the 10 hand. Subtract 1 from 10 and you get 9.

9 · 30 = 270, so our angle is 270°

I hope this helped, please mark Brainliest, thank you!

Answer: Could be 0,1,2,3,4,5

Step-by-step explanation: 9-n has to be greater or equal to four. 9 minus 4 is five. So all of the answers must be positive numbers that are less than five.

you can use this for help:

the interior angles of a triangle add up to 180°

So, Angle I + angle H + angle x =180°

60°+56°+x°=180°

116°+x°=180°

X=180-116

X=64°

Answer:

1

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

If you multiply 9x4 you get 36. its minus 36 so therefor it has to be -9

Hope this helps :) <3

Answer:

156

Step-by-step explanation:

221/17=13

13*12=156

Answer:

$156

Step-by-step explanation:

221/17=x/12

221*12=17x

2652=17x

156=x

Answer:

180 students brought their lunch to school on Thursday

Step-by-step explanation:

We are told that out of 900, 5% of the students brought their lunch to school everyday

So the number that brought their lunch on Thursday will be;

5% of 900

= 5/100 * 900 = 180

Answer:

X= 17.5

Step-by-step explanation:

the outside of the triangle always = 180

so you need to add up all the sides and equal to 180

5x+35+x+5+2x=180

add like terms

8x+40=180

get the x alone

x=17.5

Answer:

Step-by-step explanation:

The system resulting in equation 0=3 means:

Correct choice is:

Answer:

I am super sure its A and C

Hope this helps :D

Answer:

k=7

Step-by-step explanation:

when entering values of x in the function, it is observed that for k = 7 the results of f (x) displace 10 units. For this see the attached table. Therefore, for this case, the correct answer is k = 7 and the way to solve it is to substitute values of x in the given functions and see the results of f (x).I attach results.

Answer: The measure of the middle angle = 52°

Step-by-step explanation:

Let x = Smallest angle.

largest angle = [tex]3x-32[/tex]

Middle angle= [tex]8+\dfrac12 (3x-32)[/tex]

Sum of all angles in a triangle is 180 degrees.

So, Smallest angle+ largest angle+ Middle angle = 180°

[tex]\Rightarrow\ x+8+\dfrac12 (3x-32)+3x-32=180\\\\\Rightarrow\ 4x-24+\dfrac{3x}{2}-16=180\\\\\Rightarrow\ \dfrac{2\times4x+3x}{2}-40=180\\\\\Rightarrow\ \dfrac{11x}{2}-40=180\\\\\Rightarrow\ \dfrac{11x}{2}=220\\\\\Rightarrow\ x=\dfrac{220\times2}{11}\\\\\Rightarrow\ x= 40[/tex]

Now , Middle angle= [tex]8+\dfrac12 (3(40)-32)=8+\dfrac12 (120-32)[/tex]

[tex]=8+\dfrac12 (88)\\\\=8+44\\\\=52[/tex]

Hence, the measure of the middle angle = 52°

Answer:

Mild Intermittent Asthma – No more than 2 Symptoms per week, no problems in between attacks which only last a few hours to at most a few days, less than 2 nighttime episodes per month.

Mild Persistent Asthma – Symptoms happen at least 2 a week but not more than once a day.

Moderate Persistent Asthma – There are symptoms every day and because of that you have to use rescue medication every day as well.

Severe Persistent Asthma – You can’t do that much physical activity and always have to carry around and often use a rescue device.

Step-by-step explanation:

Answer:

bop

Step-by-step explanation:

Answer:

The slope is undefined

Step-by-step explanation:

Slope (m) = infinity  (undefined)

θ =  π  = 90°

2

distance (d) = 2

ΔX = 0  

ΔY = 2

Answer:

6 dollars i think

Step-by-step explanation:

Answer:

Gio will save about $6.

Step-by-step explanation:

You would convert 28% to a decimal which is 0.28 and then multiply 0.28 by $18.99 and you would get $5.3172 which is closest to $6 so it would be B. about $6

Answer:

Step-by-step explanation:

I hope this helps!!!!