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UNO [17]
1 year ago
7

Solve for x. 2x = 22

Mathematics
1 answer:
Vitek1552 [10]1 year ago
7 0

To solve for x, in the given equation;

2x=22

we need to divide both sides of the equation by 2;

\frac{2x}{2}=\frac{22}{2}

2x divided by 2 is equal to x, while 22 divided by 2 is 11.

So;

x\text{ = 11}

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for the linear function f, the graph of y=f(x) in the xy-plane passes through the points (0,2) and (9,9). what is the slope of y
Bas_tet [7]

Answer:

slope =  \frac{(y _{2} - y _{1})}{(x _{2}  - x _{1})}  \\  = \frac{(9 - 2)}{(9 - 0)}  \\  =  \frac{7}{9}  \\ hence \: slope \: is \:  \frac{7}{9}

5 0
3 years ago
Question 5 of 30<br> What is the period of the graph of y<br> 5cos(4x – 1) + 3?
Anastaziya [24]

Answer:

Period is \frac{\pi}{2}

Step-by-step explanation:

For the function y=acos(bx-c)+d, the period is \frac{2\pi}{|b|}.

Therefore, the period of the function is \frac{2\pi}{|b|}=\frac{2\pi}{|4|}=\frac{2\pi}{4}=\frac{\pi}{2}.

What this means is that the function's wave cycle will repeat every \frac{\pi}{2} units.

8 0
3 years ago
Ajar contains 12 red balls, 7 green balls, 10 white balls, and 7 yellow balls.
USPshnik [31]

Answer:

C. Independent, 49/1296

Step-by-step explanation:

A jar contains 12 red balls, 7 green balls, 10 white balls, and 7 yellow balls.

Total balls = 12+7+10+7

Total balls= 36

Two balls are chosen at random with replacement.

The probability that the both balls are green = probability of the first ball to he green * probability of the second ball to be green

The probability that the both balls are green= 7/36 * 7/36

The probability that the both balls are green= 49/1296

The probability that the both balls are green= 49/1296

8 0
3 years ago
What is 18= -a ? pls help
irina1246 [14]

Answer:

a=-18

Step-by-step explanation:

It is the same as -1a=18, so you can just transfer that negative to the other side

7 0
3 years ago
If w = 6 units, x = 3 units, and y = 5 units, what is the surface area of the figure?
Dima020 [189]

*see attachment for the diagram

Answer:

A. 178 units²

Step-by-step explanation:

Surface area of the figure = (surface area of the square pyramid + surface area of the square prism) - 2(base area of the square pyramid)

✔️Surface area of the square pyramid = s² + 2*s*l

Where,

s = side length of square base (w) = 6 units

l = slant height = ?

Use Pythagorean theorem to find l

l = √((w/2)² + y²)

l = √((6/2)² + 5²) = √(9 + 25)

l = √34

l ≈ 5.8 units

Surface area of the square pyramid = 6² + 2*6*5.8 = 105.6 units²

✔️Surface area of square prism:

SA = 2a² + 4ah

Where,

a = w = 6 units

h = x = 3 units

Substitute

SA = 2(6²) + 4*6*3

= 72 + 72

= 144 units²

✔️base area of the square pyramid = s²

s = w

Base area = 6²

Base area = 36 units²

✅Surface area of the figure = (surface area of the square pyramid + surface area of the square prism) - 2(base area of the square pyramid)

Surface area of the figure = (105.6 + 144) - 2(36)

= 249.6 - 72

= 177.6

≈ 178 units²

7 0
3 years ago
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