Solve.
6x + y = 14
-2x - y = -4
Enter your answer, in the form (x, y), in the boxes.

Answer:

x = 1/(3k)

Step-by-step explanation:

30kx-6kx=8

Combine like terms

24 kx = 8

Divide each side by 24k

24kx / 24k = 8/(24k)

x = 1/(3k)

Answer:

Remember to round!

Answer:

4 hours 21 minutes 17 seconds.

Step-by-step explanation:

1km = 6 minutes

42.195km = ?

42.195 × 6 = 253 minutes 17 seconds = 4 hours 21 minutes 17 seconds.

Answer:

4 hours 21 minutes 17 seconds.

Step-by-step explanation:

Each tick on the graph represents a single unit.

Thus, counting the ticks, we see that the graph starts at x=2. We also see that the graph ends at x=5.

Thus, the domain is [tex]2 \leq x \leq 5[/tex]

Let me know if you need any clarifications, thanks!

Answer:

CD = 2 units

Step-by-step explanation:

in the given right triangle ΔCDE,

By applying tangent rule,

tan(∠E) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

            = [tex]\frac{\text{CD}}{\text{DE}}[/tex]

tan(30)° = [tex]\frac{\text{CD}}{2\sqrt{3}}[/tex]

[tex]\frac{1}{\sqrt{3}}=\frac{\text{CD}}{2\sqrt{3}}[/tex]

CD = [tex]\frac{2\sqrt{3}}{\sqrt{3}}[/tex]

CD = 2 units

Therefore, CD = 2 unit will be the answer.

Answer:

28

Step-by-step explanation:

We divide the shape covenientely, like this, and area 1 is 4*4=16

area 2=4*4/2=8

area 3= 2*4/2=4

Area total = Area 1 + Area 2 + Area 3=16+8+4=28

Answer:

z(0.05) = -1.645

Step-by-step explanation:

z(0.05) = -1.645  is the left tail of the normal probability curve with 5% of the area under the curve.

Answer:1.645

Step-by-step explanation:

Answer:

x = 1, x = 2

Step-by-step explanation:

Given

f(x) = g(x) - 1, that is

x² - 2x - 1 = x - 1 - 2

x² - 2x - 1 = x - 3 ( subtract x - 3 from both sides )

x² - 3x + 2 = 0 ← in standard form

(x - 2)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 2 = 0 ⇒ x = 2

Answer:

11.7

Step-by-step explanation:

Let H be the heipotenys of the big triangle:

H= 28.04

Let's calculate the third side using the pythagorian theorem:

H²= 26²+ d²(the third side)

d² = 28.04²-26²= 110.24

d= 10.49

let's calculate x now

x= 11.65 ≈ 11.7

Answer:

She saved $48; She had $72 remaining

Step-by-step explanation: She started off with $120. 20% of $120= $24, 25% of $96= $24. $24 + $24= $48.  $120(total) - $48(total money saved) = $72(money left).

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

The amount of money left is $72

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Amount = $120

Amount spend on food.

= 20% of 120

= 20/100 x 120

= $24

Amount remaining.

= 120 - 24

= $96

Amount spend on clothes.

= 25% of 96

= 1/4 x 96

= $24

Amount remaining.

= 96 - 24

= $72

Thus,

The amount of money left is $72

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ5

Answer:

16

Step-by-step explanation:

Subtracting the given expressions, that is

3b² - 8 - (b(b² + b - 7) ) ← simplify parenthesis

= 3b² - 8 - (b³ + b² - 7b) ← distribute parenthesis by - 1

= 3b² - 8 - b³ - b² + 7b ← collect like terms

= - b³ + 2b² + 7b - 8 ← substitute b = - 3

= - (- 3)³ + 2(- 3)² + 7(- 3) - 8

= - (- 27) + 2(9) - 21 - 8

= 27 + 18 - 21 - 8

= 16

Answer:

m ∠DBC=80−10=70

m ∠ABC=80+30=110

Step-by-step explanation:

m ∠DBC+m ∠ABC=180

( x−10)+(x+30.)=180

2x+20=180

2x=180-20

2x=160

x=80

>>m ∠DBC=80−10=70

>>m ∠ABC=80+30=110

Answer:

[tex]\boxed{<DBC = 70 degrees}\\\boxed{<ABC = 110 degrees}[/tex]

Step-by-step explanation:

∠ABC and ∠DBC are supplementary which means that the sum of these two angles is equal to 180.

∠ABC + ∠DBC = 180

Given that: ∠ABC = x+30 and ∠DBC = x - 10

So,

=> x+30+x-10 = 180

=> 2x+20 = 180

=> 2x = 180-20

=> 2x = 160

Dividing both sides by 2

=> x = 80

Now, Finding measures of the angles.

=> ∠DBC = x-10 = 80-10 = 70 degrees

=> ∠ABC = x+30 =80+30 = 110 degrees

Answer:

This graph represents the function above.

Answer:

[tex]\large \boxed{\sf \ \ \dfrac{5-\sqrt{3}}{2} \ \ }[/tex]

Step-by-step explanation:

Hello,

[tex]\dfrac{1+2\sqrt{3}}{1+\sqrt{3}}=\dfrac{(1+2\sqrt{3})(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\ \text{... to eliminate the root in the denominator ...} \\\\=\dfrac{1-\sqrt{3}+2\sqrt{3}-2*3}{(1-3)}\\\\=-\dfrac{1+\sqrt{3}-6}{2}\\\\=-\dfrac{\sqrt{3}-5}{2}\\\\=\dfrac{5-\sqrt{3}}{2}\\[/tex]

Do not hesitate if you have any question

Answer:

Step-by-step explanation:

Thank you for providing the details of the question.

Unfortunately none of the results you have to choose from will give you 44%

The problem resembles the first probability question you were likely asked. "What is the probability of getting a heads on every throw of a fair coin?" The answer is 1/2 no matter how many times you throw the coin or what has happened before any point in the throws.

The answer should be 6/50.  If this turns out not to be the answer and you have an instructor your safest course of action is to ask how 44% was obtained. Tell me in a comment.

Answer:

fraction 6 over 50

Step-by-step explanation:

In the question it says she pulls a tile out of the bag and records the color 50 times which means she pulled out 50 tiles.

Now the table says that she recorded 6 purple tiles.

Probability is equal to [tex]\frac{number of favorable outcomes}{number of possible outcomes}[/tex]

Number of favorable outcomes here is the number of purple tiles she pulled out (6) since we want to find the probability of choosing a purple tile and the number of possible outcomes is the total number of tiles she pulled out (50)

So the probability = [tex]\frac{6}{50}[/tex]

Answer:

x-intercept → (-5, 0)

Step-by-step explanation:

Let the equation of the line having pairs given in the table is,

y - y' = m(x - x')

m = slope of the line

(x', y') is a point lying on the line.

From the given table,

Two points (33, -22) and (52, -33) lie on the line.

Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                        m = [tex]\frac{-33+22}{52-33}[/tex]

                        m = [tex]-\frac{11}{19}[/tex]

Equation of the line passing through (33, -22) and slope = [tex]-\frac{11}{19}[/tex] will be,

y + 22 = [tex]-\frac{11}{19}(x - 33)[/tex]

For x-intercept y = 0,

0 + 22 = [tex]-\frac{11}{19}(x-33)[/tex]

-38 = x - 33

x = -38 + 33

x = -5

Therefore, x-intercept of the line is (-5, 0).

Answer:

-5,0

Step-by-step explanation:

khan academy

Answer:

The coordinates of the vertices are;

(200, 200), (300, 200), (300, 0), (0, 500)

Step-by-step explanation:

The vertices are the corners of a polygon. It is the point where an angle is formed by the intersection of two lines

The feasible region is the solution space of the points of the variables that meet the specification of the problem set by means of a constant or the definition of inequalities or equations

From the graph of the function of inequalities, we have that the four vertices are the four points where the lines bounding the area of the feasible region of the inequalities meet

The coordinates of the vertices are (200, 200), (300, 200), (300, 0), (0, 500).

Answer:

432 aquariums

Step-by-step explanation:

To determine the number of aquariums the factory made, find the volume of 1 aquarium, then divide the total volume of water required.

Solution:

Volume of triangular prism aquarium = triangular base area × length of triangular prism

Volume = ½*b*h*l

Where,

b = 8 ft

h = 4 ft

l = 3 ft

Volume = ½*8*4*3 = 4*4*3

Volume = 48 ft³

Number of aquarium made = Volume of water required ÷ volume of 1 aquarium

= 20,736 ÷ 48 = 432 aquariums

Answer:

Step-by-step explanation:

The first thing we are going to do is to fill in the other angles that we need to solve this problem. You could find ALL of them but all of them isn't necessary. So looking at the obtuse angle next to the 35 degree angle...we know that those are supplementary so 180 - 35 = the obtuse angle in the small triangle. 180 - 35 = 145. Within the smaller triangle we have now the 145 and the 10, and since, by the Triangle Angle-Sum Theorem all the angles have to add up to equal 180, then 180 - (10 + 145) = the 3rd angle, so the third angle is 180 - 155 = 25. Now let's get to the problem. If I were you, I'd draw that out like I did to keep track of these angles cuz I'm going to name them by their degree. In order to find d, we need to first find the distance between d and the right angle. We'll call that x. The reference angle is 35, the side opposite that angle is 12 and the side we are looking for, x, is adjacent to that angle. So we will use the tan ratio to find x:

[tex]tan(35)=\frac{12}{x}[/tex] Isolating x:

[tex]x=\frac{12}{tan(35)}[/tex] so

x = 17.1377 m

Now we have everything we need to find d. We will use 25 degrees as our reference angle, and the side opposite it is 12 and the side adjacent to it is

d + 17.1377, so that is the tan ratio as well:

[tex]tan(25)=\frac{12}{d+17.1377}[/tex] and simplifying a bit:

[tex]d+17.1377=\frac{12}{tan(25)}[/tex] and a bit more:

d + 17.1377 = 25.73408 so

d = 8.59, rounded

Answer:

31x² - 2

Step-by-step explanation:

5(2x²-1)+3(7x²+1) = 5*2x² - 5*1 + 3*7x² + 3 = 10x² - 5 + 21x² + 3 = 31x² - 2

Round this however you need to.

===========================

Work Shown:

Check out the diagram below. We have the following points

Based on those points, we know that

Which allows us to find the distance from C to D. Focus solely on triangle EDC. Use the sine ratio to find x.

sin(angle) = opposite/hypotenuse

sin(angle EDC) = CE/CD

sin(56) = 7130/x

x*sin(56) = 7130

x = 7130/sin(56)

x = 8600.33397283284 approximately

Make sure your calculator is in degree mode.

Answer:

C

Step-by-step explanation:

Given

2x² + x - 1 = 2 ( subtract 2 from both sides )

2x² + x - 3 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 3 = - 6 and sum = + 1

The factors are - 2 and + 3

Use these factors to split the x- term

2x² - 2x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )

2x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(2x + 3) = 0

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

sorry I can only explain as there are no labels to each diagram

The first diagram is single and can solved using triangular formular given as 1/2 ×base × height

A = 1/2 × 5 × 12

A = 30cm^2..

as for the second one...it consist of 2 diagrams which will be solved separately before adding ...it can simply be done using Pythagoras theorem..

To get the smaller part ...out tita is 45degrees while our adjacent is 4 and opposite is x we are to find x which is the height...

using SOH CAH TOA...

WE HAVE TAN45= opp/adj

Tan45= x/ 4

Tan 45 =1 ...so

1 = x/ 4

and x= 4 ...

so...having our height as 4 and base as 4 ..

Area of smaller triangle become 1/2 × 4 × 4

A = 8cm^2 ...

......SOLVING FOR THE SECOND DIAGRAM ..

WE HAVE the height as ( dotted spot + undotted spot ) = 4 + 4 = 8cm

and our base can be gotten from

Tan45 = opp / adj

1 = 8/x ..

x = 8cm ....so the base is 8 and the height is 8

..

The Area becomes 1/2 × 8×8 = 32cm ...

Total area becomes 32cm + 8cm = 40cm^2

Answer:

[tex]c =\sqrt{a^{2}+b^{2} }[/tex]

Step-by-step explanation:

You clear c, wich is the hypotenuse

[tex]c =\sqrt{a^{2}+b^{2} }[/tex]

Complete Question:

Convert 3x-y+2=0 in rectangle form to polar form

Answer:

r ( 3cosθ - sinθ) = -2

Step-by-step explanation:

The equation so given is already in rectangular form, the task is to convert it to polar form.

3x - y + 2 = 0

To transform an equation from the rectangular to the polar coordinate:

x = r cosθ

y = r sinθ

Substitute the representations for x and y into the given equation:

3(r cosθ) - (r sinθ) + 2 = 0

3rcosθ - rsinθ = -2

The polar representation of the equation then becomes:

r ( 3cosθ - sinθ) = -2

Answer:

4(2x^3+ x^2-2x-1)

Step-by-step explanation:

the explanation is given above in the picture

pls do mark me the brainliest.

Answer:

4(2x^3+x^2-2x-1)

Step-by-step explanation:

Mulitply each term:

8x^3+4x^2-8x-4

Now simplify: 4(2x^3+x^2-2x-1)

Please mark me brainliest!!

Answer:

5√26/13

Step-by-step explanation:

5√2/√13 multiply the nominator and denominator by √13 to rationalize the denominator

5√2√13/√13√13 ( √13×√13=13)

5√26/13

there is answer in multiple choice but this is the correct one

Answer:

86.55 ft

Step-by-step explanation:

First find the perimeter for 3 sides of the rectangle that are solid

24+15+24 = 63

The we find the circumference for 1/2 of the circle

C = pi d

The diameter is 15 and pi = 3.14

But we only want 1/2

1/2 C = 1/2 pi d

        = 1/2 ( 3.14) * 15

       =23.55

Add the lengths together

23.55+63 =86.55 ft

Answer:

Step-by-step explanation:

The inscribed angle intersects an arc that is half the measure of the of the arc intersected by the central angle. The inscribed angle's arc measures 36%, and the central angle's arc measure 72%

Answer:

75

%Step-by-step explanation:

The inscribed angle intersects an arc that is half the measure of the of the arc intersected by the central angle.