Solve the following system by graphing x + y - 6= 0 x- y = 0

Answer:

Answer:22

Step-by-step explanation:

Answer:

2.2

Step-by-step explanation:

Answer:

x = -2.585

Step-by-step explanation:

You will have to plug this into your graphing calculator.

In y=, type 5(1/2)^x in the Y1 and type 30 in Y2.

When you hit 2nd trace and hit find intersections, you will get (-2.585, 30).

The answer is x = -2.585

Step-by-step explanation:

1. AB = BC (B is the midpoint of AC)

2. DE = EF (E is the midpoint of DF)

3. EB is common

4. ∠ABE = ∠CBE; ∠BED = ∠BEF (EB⊥AC, EB⊥DF)

5. ΔDEB ≅ ΔFEB (RHS)

6. DB = FB (corresponding ∠s of ≅ Δs)

7. ∠EFB = ∠CBF; ∠EDB = ∠ABD (alternate interior angles, AC║DF)

8. ΔABD ≅ ΔCBF (SAS)

Answer: B

Step-by-step explanation:

The area of a circle is pi*radius^2. But only a diameter is given, so in order to find the radius, you must divide the diameter by 2:

3.6/2 = 1.8

Now, you can plug the radius, 1.8, into the equation pi*radius^2 ([tex]\pi r^{2}[/tex]):

[tex]\pi (1.8)^2 = \pi(3.24)[/tex] = about 10.18

Lastly, you must divide the area 10.18 by 2 because you are looking for only half the area.

10.18/2 = 5.09

The area of the shaded region is 5.09 square cm if the radius of the circle is 1.8 cm, option (B) is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have:

The diameter of the circle = 3.6 cm

The radius of the circle = 3.6/2 = 1.8 cm

Area of shaded region = (180/360)π(1.8)²

Area of the shaded region = 5.089 ≈ 5.09 square cm

Thus, the area of the shaded region is 5.09 square cm if the radius of the circle is 1.8 cm, option (B) is correct.

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The usual margin of error we strive for is a 95% probability that our estimate is within the margin.   Assuming a normal distribution (and that we have a big enough sample not to worry about t tests) that corresponds to between minus and plus two standard deviations of the mean (remember the 68-95-99.7 rule).   So our margin of error is plus or minus two standard deviations.

Answer: ±2%

Answer:

Step-by-step explanation:

area of side triangles=2(1/2×6×4)=24 units²

area of 3 rectangles=6×7+2(5×7)==42+70=112 units²

or=(6+5+5)×7=16×7=112 units²

Total surface area=24+112=136 units²

Answer:

[tex]5660[/tex]

Step-by-step explanation:

Rounded to the nearest tenth.

Answer:

5660

Step-by-step explanation:

When finding the nearest 10 u need to start counting from the last figure your zeros and tenth(10) start it

Answer:

Correct option: C.

(Both Joey and Nolan)

Step-by-step explanation:

The step Joey did is:

Add 7x to both sides of the equation

Then, he got:

13x - 42 + 7x = 18 - 7x + 7x

20x - 42 = 18

The step Nolan did is:

Add 42 to both sides of the equation

Then, he got:

13x - 42 + 42 = 18 - 7x + 42

13x = 60 - 7x

So both of them used correctly the addition property of equality in the first step of their work.

Correct option: C.

Answer: y ≥ (3/5)*x - 3

Step-by-step explanation:

In the graph, we can see that we are above a bold line, that goes through the points (0, -3) and (5, 0)

First, let's find the equation for this line:

y = a*x + b

the value of a is the slope and is equal to:

a = (0 - (-3))/(5 -0) = 3/5

and the value of b is the point where the line intersects the y-axis, in this case, b = -3

then our line is

y = (3/5)*x - 3

As the shaded part is above the line, this equality represents the minimum value that y can take for a given x, and because the line is not a doted line, we know that the equality is valid, so we must use the ≥ symbol.

y ≥ (3/5)*x - 3

Answer:

42 Seats.

Step-by-step explanation:

If Arnold is in the second row and there are 5 rows behind him, there are 7 rows because 2 + 5 equals 7.

So then, you multiply 6 times 7 since there are 7 rows and 6 seats in each row. And that equals 42.

Answer:

b:42

Step-by-step explanation:

The required explicit formula for the sequence is [tex]a_n = 9+(n+1)(-3)[/tex]. Option B is correct.

Given, an arithmetic sequance is given in the form of [tex]\left \{ {{a_1=9} \atop {a_n =a_{n-1}-3} \right.[/tex] .
Explicit formula for the sequence is to be determined.

Arithmetic progression is the sequence of numbers that have common differences between adjacent values.
Example,  1, 2, 3, 4, 5, 6. this sequence as n = 6 number with a = 1 (1st term)  and common differene d = 2- 1 = 1.

Given arithmetic sequance is in the form of [tex]\left \{ {{a_1=9} \atop {a_n =a_{n-1}-3} \right.[/tex]
From above expression
[tex]a_n-a_{n-1}= -3[/tex]
common difference (d) = -3
with d = -3 and [tex]a_1 = 9[/tex]
The equation for the nth term in an arithmetic sequence is given by
[tex]a_n =a +(n-1)d[/tex]
[tex]a_n = 9 +(n-1)(-3)[/tex]
The above expression is the explicit form of the arithmetic equation.

Thus, the required explicit formula for the sequence is [tex]a_n = 9+(n+1)(-3)[/tex]. Option B is correct.

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Answer:

A

Step-by-step explanation:

If since y = 0 is a line of symmetry for the rectangle, reflection over y = 0 will just map the rectangle onto itself.

Answer:

D

Step-by-step explanation:

Because its a line and the only three undefined terms are line,point,plane

Answer:root10  root3

Step-by-step explanation:since when you look for the square of root six you will  get 2*3 then you will look for the root of 8 then you get 2*4 then you get 3*5 after that you multiply all  then collect like times

Answer:

The mistake is in line 2

Step-by-step explanation:

(BODMAS) bracket (multiplication) before subtraction

Answer:

i believe that would be -8...

Step-by-step explanation:

Answer:

the correct answer is -8

plz mark as brainliest

Step-by-step explanation:

Answer:

√3 - 1

Step-by-step explanation:

(1+√3)(2-√3)=2-√3+2√3-3=√3 - 1

Answer:

[tex]-1+\sqrt{3}[/tex]

Step-by-step explanation:

[tex](1+\sqrt{3} )(2-\sqrt{3} )[/tex]

[tex]2-\sqrt{3} +2\sqrt{3} -3[/tex]

[tex]-1+\sqrt{3}[/tex]

Answer:

The plotting the points 1 and then you will be able to compare the materials and how they work in comparison to the other material

Answer:

Bar graph

Step-by-step explanation:

Cuz he will make bars in order to show the materi

Answer:

B. A reflection across the y axis.

Step-by-step explanation:

Only B. A reflection across the y axis will work because all the other options make it move somewhere else or flip it upside down. The trapezoid has a line of symmetry down the y-axis so reflecting it across the y-axis will make the same exact figure in the same exact spot.

Answer:

[tex]y>2x-5[/tex]

Step-by-step explanation:

[tex]y +2>1/3 (6x-9)[/tex]

Expand 1/3(6x-9).

[tex]y +2>6/3x-9/3[/tex]

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

Subtract 2 on both sides.

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

[tex]y>2x-5[/tex]

The rewritten form of y +2 > 1/3 (6x – 9) where the y-term us isolated is; y > 2x -5

To isolate the y-term;

The following operations are carried out;

By finally isolating y; we have;

y > 2x -5

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Answer:

  4 : 3

Step-by-step explanation:

The first segment is 4/7 of the whole, so the second segment is 1 - 4/7 = 3/7 of the whole. Then the ratio of the two segments is ...

  (4/7) : (3/7) = 4 : 3

Answer:

10x - 15

Step-by-step explanation:

let Emily's be x hrs

Abbey = 3x-5 hrs

Nathan = 2 *  Abbey's time= 2(3x-5)

= 6x-10 hrs

Expression= x + 3x-5 + 6x-10 = 10x - 15 hrs

Therefore, 10x - 15 is the EXPRESSION THAT DENOTES THE TOTAL NUMBER OF HOURS SPENT FOR DOING HOMEWORK COLLECTIVELY.

Answer:

6.4

Step-by-step explanation:

By the Pythagorean Theorem:

[tex]c=\sqrt{5^2+4^2}= \\\\\sqrt{25+16}= \\\\\sqrt{41}\approx 6.4[/tex]

Hope this helps!

Answer:

To solve we need to use pythogorean theorm. So first we take the square of both giving us 25, 16. Then we add them and get 41. So the answer is squareroot of 41 and if you round you get 6.4

Answer:

(i) ∠ABH  = 14.5°

(ii) The length of AH = 4.6 m

Step-by-step explanation:

To solve the problem, we will follow the steps below;

(i)Finding  ∠ABH

first lets find <HBC

<BHC + <HBC + <BCH  = 180°  (Sum of interior angle in a polygon)

46° + <HBC  + 90 = 180°

 <HBC+ 136°  = 180°

subtract 136 from both-side of the equation

 <HBC+ 136° - 136°  = 180° -136°

 <HBC  = 44°

lets find <ABC

To do that, we need to first find <BAC

Using the sine rule

[tex]\frac{sin A}{a}[/tex] =  [tex]\frac{sin C}{c}[/tex]

A = ?

a=6.9

C=90

c=13.2

[tex]\frac{sin A}{6.9}[/tex] = [tex]\frac{sin 90}{13.2}[/tex]

sin A = 6.9 sin 90  /13.2

sinA = 0.522727

A = sin⁻¹ ( 0.522727)

A ≈ 31.5 °

<BAC  = 31.5°

<BAC + <ABC + <BCA = 180° (sum of interior angle of a triangle)

31.5° +<ABC + 90° = 180°

<ABC  + 121.5°  = 180°

subtract 121.5° from both-side of the equation

<ABC  + 121.5° - 121.5°  = 180° - 121.5°

<ABC = 58.5°

<ABH = <ABC - <HBC

           =58.5° - 44°

            =14.5°

∠ABH = 14.5°

(ii) Finding the length of AH

To find length AH, we need to first find ∠AHB

<AHB + <BHC = 180°  ( angle on a straight line)

<AHB + 46° = 180°

subtract 46° from both-side of the equation

<AHB + 46°- 46° = 180° - 46°

<AHB  = 134°

Using sine rule,

[tex]\frac{sin 134}{13.2}[/tex]  = [tex]\frac{sin 14.5}{AH}[/tex]

AH = 13.2 sin 14.5 / sin 134

AH≈4.6 m

length AH = 4.6 m

Answer:

0

Step-by-step explanation:

Okay...um. Any number times 0 is 0 so the expression you choose should equal 0.

Answer:

C

Step-by-step explanation:

The y-intercept is at x=0, y=3.

Answer: 766.41m

Step-by-step explanation:

Hi, since the situation forms 2 right triangles (see attachment) we have to apply the Pythagorean Theorem for one triangle.  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case the diagonal distance between corners of the field, which is the distance between the posts if they are placed as far apart as possible ) and a and b are the other sides.  

Replacing with the values given:  

c^2 = 616^2 + 456^2  

c^2 = 379,456+207,936  

c^2 =587,392

c = √587,392

c = 766.41m

So, she is within the area serviced by the tower (20 miles)  

Feel free to ask for more if needed or if you did not understand something.  

Answer:

It will take 20 times for both cost to be same

Step-by-step explanation:

What we want to do here is to calculate the number of times it will take someone who’s wants to rent a boat by Billyboat will be able to rent Lisa boat.

The first thing to do here is calculate how much that is charged to rent Billyboats

That would be;

Let the number of times be n

so the amount will be

105 + 9.50n

Now, renting at 14.75 at n times would be 14.75n

Mathematically, we equate both

14.75n = 105 + 9.5n

14.75n - 9.5n = 105

5.25n = 105

n = 105/5.25

n = 20 times

Answer:

Given

Hope it helps..

Step-by-step explanation:

The options that apply are:

4/18= 6/27

3/4= 9/12

How to check:

Multiple the middle two terms

Then divide the product by one of the outer terms

If you get the other outer term, its a valid proportion