Arrange the steps to solve this system of linear equations in the correct sequence x+y=-2 2x-3y=-9

Answer:

3.8

Step-by-step explanation:

We can use sohcahtoa to solve this. First, we know that this triangle is a right triangle, as well as one angle and the opposite side to that angle. We are trying to find the hypotenuse.

Therefore, as sin takes opposite and hypotenuse into account, we can use that to get that sin(41°) = 2.5/x . Multiply both sides by x and divide both sides by sin(41°) to get x = 2.5/sin(41°) =3.8

9514 1404 393

Answer:

Step-by-step explanation:

The symbol % is interchangeable with /100. That is 25% = 25/100. One percent is one hundredth, so the decimal equivalent can be found by writing the percentage number in the hundredths place of a decimal number.

  25% = 25/100 = 0.25 = 25 hundredths

The fractions can be converted to percentages by any of ...

  multiply by 100%: 1/5 × 100% = (100/5)% = 20%

  multiply by a value that makes the denominator 100: 1/5 × 20/20 = 20/100

  divide the numerator by the denominator to get the decimal, then convert

     1/5 = 0.20 = 20%

__

Additional comment

You will notice that multiplying by 100% is the same as moving the decimal point right 2 places and adding a % symbol. Similarly, dividing by 100% will convert a percentage back to a decimal. It has the effect of removing the % symbol and shifting the decimal point left 2 places.

Answer:

A) 0.0359

B) 0.0829

Step-by-step explanation:

A) Using normalcdf on your calculator, or using something online, you can plug (-1000, 23.4, 36, 7) to represent the lower bound, upper bound, mean, and standard deviation respectively. The probability that daily production is less than 23.4 liters is 0.0359

B) Similarly, we can plug (45.7, 1000, 36, 7) in as the upper bound is infinity, and the lower bound if 45.7. Our answer is then 0.0829

How should I answer?

Evaluate Using the Given Value

Simplify the Matrix

Solve the Function Operation

Evaluate the Function

Graph

Find the Derivative - d/dc

Solve Using the Square Root Property

Find the Equation Using Point-Slope Formula

More...

will edit and give answer just don't know what you are asking  comment down  below what you need help on. Happy to help :)

Answer:

The possible solutions are -4 and -12

Step-by-step explanation:

(C+8)^2=16

Take the square root of each side

sqrt((C+8)^2)=sqrt(16)

C+8 = ±4

C+8 = 4     C+8 = -4

Subtract 8 from each side

C+8-8 = 4-8   C+8-8 = -4-8

C = -4               C = -12

The possible solutions are -4 and -12

Answer:

thanks for the points and sorry i dont under stand

Step-by-step explanation:

Answer:

Solution given:

perpendicular [P]=x

base[B]=9

hypotenuse [H]=41

Now.

By using Pythagoras law

H²=P²+B²

41²=x²+9²

x²=41²-9²

x=[tex]\sqrt{1600}=40[/tex]

x=40 is a required answer.

Answer:

y represents the pages, while x represents the minutes. for every y, there is 9/10 x, therefore the equation is y=9/10x

Answer:

Mean mass of 20 rugby player = 55

Step-by-step explanation:

Given:

Mass of 6 rugby players = 540 kg

Mean mass of 14 ballet dancer = 40 kg

Find:

Mean mass of 20 rugby player

Computation:

Total mass of ballet dancer = 14 x 40

Total mass of ballet dancer = 560 kg

Total mean mass of 20 rugby player = [540 + 560] / [6 + 14]

Mean mass of 20 rugby player = 1100 / 20

Mean mass of 20 rugby player = 55

Answer:

No.

Step-by-step explanation:

5x represents the product of 5 and an unknown number (x).

5x can also be written as 5 * x.

x + 5 represents the sum of 5 and an unknown number (x).

Hope this helps.

Answer:

the answer is b

Step-by-step explanation:

Answer:

Option 1

Step-by-step explanation:

To find the graph of the quadratic function, we find it's zeros.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

f(x) = x² - 4x + 3​

This means that [tex]a = 1, b = -4, c = 3[/tex]

So

[tex]\Delta = b^{2} - 4ac = (-4)^2 - 4(1)(3) = 16 - 12 = 4[/tex]

[tex]x_{1} = \frac{-(-4) + \sqrt{4}}{2} = 3[/tex]

[tex]x_{2} = \frac{-(-4) - \sqrt{4}}{2} = 1[/tex]

Zeros at x = 1 and x = 3, that is, it crosses the x-axis at this values, so the graph is given by option 1.

Answer:

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x < 3

Interval Notation: ( −∞, 3)

Answer:

20

Step-by-step explanation:

Answer:

20 is the answer

Step-by-step explanation:

Answer:

Option D: 1.50

Step-by-step explanation:

Answer:

288 cubic cm

Step-by-step explanation:

Volume of the pyramid = 1/3 * base area * height

Base area = 12 * 12

Base area - 144 sq. cm

Height = 6cm

Volume of the pyramid = 144 * 6/3

Volume of the pyramid = 144 * 2

Volume of the pyramid  = 288 cubic cm

Answer:

k+1/2 =4

subtract 1/2 from both sides

= k = 3.5 or 3 1/2

Answer:3.5

Step-by-step explanation:

Answer:

150 stamps

Step-by-step explanation:

100% - 25% = 75%

[tex]\frac{y}{450} :\frac{25}{75}[/tex]

y × 75 = 25 × 450

75y = 11250

75y ÷ 75 = 11250 ÷ 75

y = 150

[tex]\sf\purple{No, \:Sara\: is \:wrong.}[/tex]

[tex]2x + 3≠ \frac{x}{2} + \frac{3}{4} [/tex]

[tex]\sf\red{Here's\:why:}[/tex]

[tex]L. H. S. = 2x + 3[/tex]

[tex]R. H. S = \frac{x}{2} + \frac{3}{4} \\ = \frac{x \times 2}{2 \times 2} + \frac{ 3}{4} \\ = \frac{2x + 3}{4} [/tex]

Clearly,

[tex]2x + 3≠ \frac{2x + 3}{4} \\✒ \: L.H.S.\:≠\:R. H. S. [/tex]

[tex]\boxed{Therefore,\:the\:two\:expressions \:are\:not\:equivalent.}[/tex]

To make them equivalent, Sara can simply divide L. H. S. by 4.

By doing so, she'll have

[tex] \frac{2x + 3}{4} = \frac{2x + 3}{4} \\ ๛L.H.S.=R. H. S[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

±3/5

Step-by-step explanation:

±sqrt(9/25)

We can separate this into

± sqrt(9) / sqrt(25)

Since these are perfect squares

±3/5

Answer:

[tex](x+1)^2+(y+4)^2=97[/tex]

Step-by-step explanation:

Hi there!

Equation of a circle centered at (h,k):

[tex](x-h)^2+(y-k)^2=r^2[/tex] where r is the radius

1) Plug in the center

[tex](x-(-1))^2+(y-(-4))^2=r^2\\(x+1)^2+(y+4)^2=r^2[/tex]

2) Plug in the given point and solve for r²

[tex](x+1)^2+(y+4)^2=r^2[/tex]

Plug in (-5,5)

[tex](-5+1)^2+(5+4)^2=r^2\\(-4)^2+(9)^2=r^2\\16+81=r^2\\r^2=97[/tex]

3) Plug r² back into the equation

[tex](x+1)^2+(y+4)^2=r^2\\(x+1)^2+(y+4)^2=97[/tex]

I hope this helps!

Answer:84

Step-by-step explanation:

Answer:

The answer is C

Answer:

Step-by-step explanation:

In a parallelogram, opposite angles are equal.

∠G = ∠E

5x - 9 = 3x + 11

Add 9 to both sides

5x = 3x + 11 + 9

5x = 3x + 20

Subtract 3x from both sides

5x-  3x = 20

2x = 20

Divide both sides by 2

x = 10

∠G = 5x - 9

     = 5*10 - 9

     = 50 - 9

∠G = 41°

∠G = ∠E = 41°

In parallelogram, adjacent angles are supplementary.

∠G + ∠D = 180

41 + ∠D = 180

     ∠D = 180 - 41

   ∠D = 139

∠D = ∠F = 139°

Answer:

Step-by-step explanation:

Given numbers : 2 , 6, 18, 54

Since common ration between numbers,

[tex]common \ ratio \ in \ GP , \ r = \frac{a_n}{a_{n-1}} = \frac{6}{2} = 3[/tex]

So the numbers are in GP.

Now Sum of the numbers = 2 + 6 + 18 + 54 = 80

AM, arithmetic mean between first and last number :

                                                                             [tex]\frac{54+2}{2} = \frac{56}{2} =28[/tex]

All the conditions are true.

Answer:

Gary spends a total of $166.05

Step-by-step explanation:

15% tip: would be 15% of 135, so 0.15 times 135, which would be $20.25 for the tip before tax

8% tax: would be 8% of 135, so 0.08 times 135, which would be $10.8

Then we add $20.25+$10.8+$135= $166.05

Hope I helped, please correct me anywhere you think I may have messed up if I did make mistakes.