sin( X+Y ) = cos( X−Y ) = 1,
find the value of X and Y.

Answer: c

..........................

Answer: $320

Step-by-step explanation:

A principal of $4,000 was invested.

The principal increases at a rate of 8% every year by simple interest.

After 1 year the total in the account can be calculated by the formula:

= Principal * ( 1 + rate * time)

= 4,000 * ( 1 + 8% * 1)

= $4,320

Interest:

= Amount after a year - original price

= 4,320 - 4,000

= $320

Answer:

(4,4)

Step-by-step explanation:

There are two ways that you can solve this. You can solve it with the help of technology or you can solve it traditionally. I will show how to do it in both ways so you can pick which way you want to solve it.

Traditional Method:

5x - 2y = 12

6x + 2y = 32

Look at the variables and numbers in both equations. One of them has to be the same value but have to have opposite signs. The 2y in both equations are the same value but have different signs. That's what we want. We can add everything in the equation now. (5x + 6x), (-2y + 2y), and (12 + 32).

11x = 44

To get x alone, Divide each side by 11. Then we will get the value of x.

11/11x = 44/11

x = 4

Horray! We got x, but what about y? Pick one of the equations. I will go with 5x - 2y = 12. Substitute the x value inside the equation.

5(4) - 2y = 12

20 - 2y = 12

-2y = -8

y = 4

Good! We figured out y. Now we know the solution! The solution is (4,4).

Technology Method:

Grab a graphing calculator. Enter the equations. You will see two lines. Look at where they intersect. The point where they intersect is the solution. That line is (4,4). You could also do this on a piece of paper by graphing the equations.

I hope this helps! Let me know if you need any more help or if I got anything wrong.

Answer:

[tex]f(x) = x^{2} - 1[/tex]

Step-by-step explanation:

The definition of even function is: [tex]f(x) = f(-x)[/tex]

I am going to assume the  second option is [tex]f(x) = x^{2} - 1[/tex] and the answer.

[tex]f(x) = x^{2} - 1\\f(-x) = (-x)^{2} - 1 = x^{2}-1[/tex]

Answer:

A slope of 2

Step-by-step explanation:

(-1,-3) (3,5)

x1  y1  x2 y2

y2-y1/x2-x1= slope

5-(-3)/3-(-1)=

5+3/3+1= 8/4= 2

Answer:

I think it is 19 1/4

Step-by-step explanation:

How I got this was I took 21 3/4 and subtracted 2 1/2 which gave me 19 1/4.

Hope this is right and helps.

Answer:

4.65

Step-by-step explanation:

144.15/31=4.65

Answer:

vh ,mnjjhbjvj n

Step-by-step explanation:

2 triangular faces

1/2bh

10x15=150

2x150= 300

‘back’ face

7x20=140

‘front’ face

7x25= 175

‘bottom’ face

7x15= 105

total: 585m^2

Answer:k so graph 4 and then go 2 down for every one to the right and for the second one start by graphing -3 and go 5 up for every 1 to the right

Step-by-step explanation:here are some points -> (0,4) (1,2) (2,0) and for the second one -> (0,-3) (1,2) (2,7) and solution to lines is (1,2)

Answer:

B

Step-by-step explanation:

3a + 11 > 5

3a > -6

a > -2

Answer:

October 7, October 13, 0ctober 19

Step-by-step explanation:

Jog = every 2 days

Next days from October 1 = October 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31

Pilates = every 3 days

Next days from October 1 = October 4, 7, 10, 13, 16, 19, 22, 25, 28, 31

What are the next three dates on which he will jog and do Pilates?

= October 7, October 13, 0ctober 19

The next three dates on which he will jog and do Pilates are October 7, October 13, 0ctober 19

Answer:

y=2x-16

Step-by-step explanation:

so gradient is 8-(-8)/ 12-4

so 16/8 which is 2

equation of line is: y= 2x+c

substitute the values into x,y

8=2(12)+c

8=24+c

8-24=c

-16= C

this is because when it goes over the equal sign it becomes negative so now the equation is y=2x-16

Answer:

Y=2x+16

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

3.5 + 2.75 = 6.25

6.25/4.23 = 1.42 L

Approximately 1.48  liters of punch does this recipe make.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Missy makes punch for a party. She uses 3 1/2 cups of water, 2 3/4 cups of frozen pineapple juice.

∴ The total volume of the punch is ([tex]3\frac{1}{2} + 2\frac{3}{4}[/tex]) = 7/2 + 11/4 = (14 + 11)/4 = 25/4

cups of punch.

Now, 1 liter is 4.23 cups.

∴ 25/4 or 6.25 cups is (6.25/4.23) = 1.48 liters.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ2

Answer: See explanation

Step-by-step explanation:

To solve the equivalent fraction to 2/6, you divide or multiply the numerator and the denominator by thesame set for numbers. For example

2/6 = (2 × 3) / (6 × 3) = 6/18

2/6 = (2 ÷ 2) / (6 ÷ 2) = 1/3

The above fractions are both equivalent fractions of 2/6

Answer: x=0

Step-by-step explanation:

answer:

don't know, don't worry

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Answer:

7/6

Step-by-step explanation:

1/3=2/6

2/6+5/6=7/6

Answer:1.16666666667

Step-by-step explanation:

Answer:

huh?

Step-by-step explanation:

Answer:

I'm not sure but I think it is A.

The number of Ava's coins is x. The number of Ava's coins is more than 15. so x is more than 15.

x > 15

Answer:

A

Step-by-step explanation:

Since Ava has more than X coins in her collection then 15 is the amount she used to have so

x> 15

Answer: 0.796 meters

Step-by-step explanation:

Circumference of circle = [tex]2\pi r[/tex] , where r=radius

Here, Circumference of loop = 2.5 meters

i.e. [tex]2\pi r=2.5[/tex]

[tex]\Rightarrow\ r=\dfrac{2.5}{2\pi}[/tex]

[tex]\Rightarrow\ r=\dfrac{2.5}{2\times\dfrac{22}{7}}\\\\\Rightarrow\ r=\dfrac{2.5\times7}{2\times22}\\\\\Righttarrow\ r=0.398\ m[/tex]

Diameter = 2r = 2(0.398) = 0.796 meters

Hence, The diameter of Taiga's exercise hoop = 0.796 meters

Answer:

6

Step-by-step explanation:

the first thing I did to smome but you know 5AM was a l

Answer:

-1/2 ignore this widjsnwnsisiahwndmd