systems of equations by elimination
8x+14y=4
-6x-7y=-10

Answer:

10

Step-by-step explanation:

[tex]x+70=16(5)\\\\x+70=80\\\\x=10[/tex]

Therefore, the number is 10

Answer:

A. (3,-4)

Step-by-step explanation:

The rule to follow for reflecting a point across the y-axis is to take the original coordinate (x, y) and change it to (−x, y)

Answer:

A = 73°

Step-by-step explanation:

A + B = 180 because of alternating interior angles

Substitute each angle

6x - 35 + 3x + 53 = 180

9x + 18 = 180

9x = 162

x = 18

Substitute A

A = 6x - 35

A = 108 - 35

A = 73

Hope this helps

Have a great day!

Answer: 0.25 percent.

Step-by-step explanation:

You know that you have 800 pages. So, 2 out of 800 is 0.25 percent.

Answer:

79

Step-by-step explanation:

Keep adding 4 since the common difference is 4

3,7,11,15,19,23,27,31,35,39,43,47,51,55,59,63,67,71,75,79

Answer: 28

Step-by-step explanation:

[tex]\sqrt{8^2} -\sqrt{6^2} =\sqrt{?}[/tex]

[tex]\sqrt{64}-\sqrt{36} =\sqrt{?}[/tex]

[tex]\sqrt{64-36} = \sqrt{?}[/tex]

[tex]? = 64 - 36[/tex]

[tex]? = 28[/tex]

Answer:

false

Step-by-step explanation:

11 ≠ 4

11=11

4=4

Answer: X=57

Step by Step Explination: 132 divided by X is 57 which means 57 is X if they can make a problem

Answer:

3x + 0.8y

Step-by-step explanation:

1- Reorder and gather like terms

2- Collect coefficients of like terms

3- Calculate the sum or difference

Answer:

first was the tan4cot

second was (-g,f)

Answer:

See below

Step-by-step explanation:

-1.8c + 5.1d   plug the numbers in that you were given.

-1.8(2.9) + 5.1(-4.2)

Multiply the first and second group of numbers

-1.8 x 2.9 = - 5.22

5.1 x -4.2 = - 21.42

Now add the two numbers together but remember they are both negative numbers.  So when you add them together, it will end up being a more negative number.

-5.22 + -21.42 = - 26.64

Answer:

60

Step-by-step explanation:

The given function is:

The average rate of change of h(t) from t=a to t=b is given by:

We can rewrite this function as:

The maximum height of the rocket is 231 and it occurs at t=3.75

The initial launch occurs at: t=0

and

The average rate of change from the initial launch to the maximum height is

The average rate of change from the initial launch to the maximum height is 59.21 ft/s.

We have a equation that represents the Rocket path.

We have to find the average rate of change from the initial launch to the maximum height.

A time varying quantity is the quantity whose absolute value change with time. For example - y = f(t) = 2t - 1 , where y is the displacement and it varies as y = 2t - 1 with time.

According to the question, we have -

Equation →  [tex]h(t) = -16t^{2} +120t+6[/tex]

Height of podium → 6 feet.

Initial velocity (u) = 0

Now -

[tex]h(t) = - 16t^{2} +120t+6[/tex]

Differentiating w.r.t time, we get →

[tex]$\frac{dh}{dt} = - 32t + 120[/tex]

For maximum height → [tex]$\frac{dh}{dt} = 0[/tex]

-32t + 120 = 0

32t = 120

t = 3.8 seconds

This means that at t = 3.8 seconds the rocket will reach its maximum height. Therefore, the maximum height will be -

h(t) = - 16 x 3.8 x 3.8 + 120 x 3.8 + 6

h(t) = - 231.04 + 456 + 6

h(t) = 224.96 + 6

h(t) = 230.96 = 231

The maximum height reached by the rocket is 231 feet's.

Now -

Initial height = 6 feet

Initial time = 0 s

Final height (max) = 231

Time at maximum height = 3.8

Therefore, the average rate of change from the initial launch to the maximum height will be -

[tex]$v_{avg} = \frac{231-6}{3.8-0}=59.21[/tex]

v (avg) = 59.21 ft/s

Hence, the average rate of change from the initial launch to the maximum height is 59.21 ft/s

To solve more questions on Motion of Rockets, visit the link below-

https://brainly.com/question/3218565

#SPJ2

Answer:

Constant: -17

Coefficient: 7

Number of terms: 3

Step-by-step explanation:

Constant: -17

-> This is the number that doesn't change. No matter what m or p is, -17 will be -17

Coefficient: 7

-> The coefficient is the number next to the variable. In this case, the number "with" (being multiplied by) p is 7

Number of terms: 3

-> There are three terms. A term includes positive/negative, number, variables, etc.

-> The terms are:

[] [tex]9m^{4}[/tex]

[] [tex]7p[/tex]

[] [tex]-17[/tex]

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Find the volume of the cylinder to know how much liquid is in it:

volume of a cylinder = Pi x r^2 x height.

Volume = 3.14 x 60^2 x 210

Volume = 2,373,840 cubic cm

now to find the length of time divide total cubic cm by the drainage rate:

2,373,840 / 1099 = 2,160 hours

Answer: 2,160 hours

Answer:

{ 3x - y = 6

{ x + 2y = 16

Step-by-step explanation:

1- Simplify

*The Graph is in the attachment, hope this helps :)

Answer:
3 toppings??, sorry if its wrong im confused on the last part (c)

Step-by-step explanation:

16+1.25x≥20
-16            -16
    1.25x ≥4
    1.25 ≥ 1.25               4/1.25=
     x ≥ 3.2

Answer:

length = 17.3 m

Step-by-step explanation:

Rectangles have four right angles, so the diagonal and its sides will form a right triangle.  This allows us to use the Pythagorean Theorem to find the length.

l^2 + 18^2 = 25^2

sqrt l^2 = sqrt (25^2 - 18^2), where l = 17.349 = 17.3 m

Answer:

a) (2,9); b) no points of intersection

Step-by-step explanation:

a)

Set the two equations equal to each other

7x - 5 = -2x + 13

Rearrange collecting like terms and solve

9x = 18

x = 2

Sub in x = 2 into either of the equations and it should yield the same result

Eq.1 y = 7(2) - 5 = 9

Eq.2 y = -2(2) + 13 = 9

Therefore the point of intersection is (2,9)

The graph confirms this result (see graph 1 with red and blue lines)

b)

As the gradients are the same, we can tell straight away that the two lines should be parallel and never intersect, but we'll try to solve it algebraically using the same method as in part a.

3x - 1 = 3x + 2

When rearranging, the x's cancel out which can be seen when subtracting 3x from both sides

-1 = 2

This equation is clearly incorrect. This means that there are no values of x at which the two equations are equal. Graphically, this means that the two lines are parallel and there are no points of intersection (see graph 2 with purple and green lines)

Answer:

D would be the wisest choice.

Step-by-step explanation:

Consider the taxes and extra expenses the purchase may have. They may raise the actual payment, plus if you don't pay the balance immediately it'll keep growing and growing until you're in deeper debt.

Hope this helped, have a nice day!

Answer:

$4,368

Step-by-step explanation:

This is  compound interest. and to calculate compound interest, which is (Amount - Principal) but we dont know the value for amount so we find the amount first by using the formula.

              A =  P ( 1 +   R ) ^n

                                100      

where p = principal    ($8,950)            

a =  amount       (?)

r =  interest rate    (6.85%)

n = time ( no of years)    (6)

A  =  8,950   ( 1   +   6.85 ) ^6

                             100                  A = 8,950 ( 1 + 0.0685) ^6

A = 8,950  ( 1.0685) ^6    

A = 8950 x 1.4881    A = 13,318

WE THEN FIND COMPUND INTEREST   C = A MOUNT - PRINCIPAL

13, 318 - 8950    = $4,368

Answer:  3√2

Step-by-step explanation:

The middle line is also 3 so if you use a^2 + b^2 = c^2 you can find the hypotenuse

Perimeter of the figure = 26.5 m

Area of the figure = 59.68 m².

Perimeter of a figure is the length around the borders of the figure.

Find the Perimeter of the Figure:

Perimeter = 3.9 + 7.4 + 10.6 + 4.6 = 26.5 m

Area of the Figure:

Decompose the figure into two rectangles, rectangle 1 and rectangle 2.

Area of rectangle 1 = length × width = 10.6 × 4.6 = 48.76 m².

Area of rectangle 2 = length × width = 3.9 × (7.4 - 4.6) = 10.92 m².

Area of the figure = 48.76 + 10.92 = 59.68 m².

Learn more about perimeter and area of a figure on:

https://brainly.com/question/10061869

Answer:

∠Z ≅ ​∠B

Step-by-step explanation:

∠X ≅ ​∠R

∠Z ≅ ​∠B

∠K ≅ ​∠C

∠H ≅ ​∠P

Hope this helps!! :)

Answer:

∠Z ≅ ​∠B

Step-by-step explanation:

Z is congruent to B

Question 1

You probably agree that it's fairly obvious that the stack on the right is slanted, while the stack on the left is straight up and down (more or less).

--------------

Question 2

The stack on the left resembles a cylinder. It might help to wrap the coins in a paper casing to better see this.

--------------

Question 3

The heights of each stack appears to be the same. This is assuming both stacks have the same number and type of coins.  

--------------

Question 4

The two stacks have the same volume. This may seem a bit strange, but if both stacks have the same number and type of coins, then each of the individual coins has the same volume. When put together, the overall 3D solids will have the same volume as well. It doesn't matter if we slanted one of the stacks or not.

Solution:

The rationalisation factor for [tex] \frac{1}{ a - \sqrt{b} }[/tex] is [tex]a + \sqrt{b} [/tex]

So, let us apply it here.

[tex] \frac{1}{5 - \sqrt{2} } [/tex]

The rationalising factor for 5 - √2 is 5 + √2.

Therefore, multiplying and dividing by 5 + √2, we have

[tex] = \frac{1}{5 - \sqrt{2} } \times \frac{5 + \sqrt{2} }{5 + \sqrt{2} } \\ = \frac{5 + \sqrt{2} }{(5 - \sqrt{2})(5 + \sqrt{2} ) } \\ = \frac{5 + \sqrt{2} }{ {(5)}^{2} - ( \sqrt{2})^{2} } \\ = \frac{5 + \sqrt{2} }{25 - 2} \\ = \frac{5 + \sqrt{2} }{23} [/tex]

Answer:

[tex] \frac{5 + \sqrt{2} }{23} [/tex]

Hope you could understand.

If you have any query, feel free to ask.

Answer:

[tex]\frac{5+\sqrt{2} }{23}[/tex]

Step-by-step explanation:

To rationalise the denominator, multiply the numerator and denominator by the conjugate of the denominator.

the conjugate of 5 - [tex]\sqrt{2}[/tex] is 5 + [tex]\sqrt{2}[/tex] , then

= [tex]\frac{1(5+\sqrt{2}) }{(5-\sqrt{2})(5+\sqrt{2}) }[/tex] ← expand denominator using aFOIL

= [tex]\frac{5+\sqrt{2} }{25-2}[/tex]

= [tex]\frac{5+\sqrt{2} }{23}[/tex]

Answer:

1:1

Step-by-step explanation:

have a good day friend :)