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ollegr [7]
3 years ago
7

P 1 2 3 4

Mathematics
1 answer:
docker41 [41]3 years ago
3 0

Answer:

The answer is below

Step-by-step explanation:

A function shows the relationship that exist between two variables (the independent variable and dependent variable). The independent variable does not depend on any variable and is known as the input while the dependent variable depends on other variable and is known as the output.

The relationship between two variables of a linear function i.e y (dependent variable) and x (independent variable) represented by the points (x_1,y_1)\ and\ (x_2,y_2) is given by:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

a)  Write an expression for q as a linear function of p.

To do this, q is the dependent variable and p is the independent variable. From the table. the variables can be represented by (1, 18) and (2, 12)

Hence:

q-18=\frac{12-18}{2-1}(p-1)\\ \\q-18=-6(p-1)\\\\q-18=-6p+6\\\\q=-6p+24

b)  Write an expression for p as a linear function of q.

To do this, p is the dependent variable and q is the independent variable. From the table. the variables can be represented by (18, 1) and (12, 2)

Hence:

p-1=\frac{2-1}{12-18}(q-18)\\ \\p-1=-\frac{1}{6}(q-18)\\\\p-1=-\frac{1}{6}q+3\\\\p=-\frac{1}{6}q+4

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URGENT!!!!!!!! PLEASE HELP ASAP TIMED!!!!!!!!!!!!!!!
barxatty [35]

Step-by-step explanation:

Given that,

Perpendicular = 17 units

Hypotenuse = 25 units

We need to find the value of x.

Using Pythagoras theorem to find x.

Hypotenuse² = base²+perpendicular²

25² = x² + 17²

x = 18.3 units

So, the value of x is equal to 18.3 units. No, the sides do not form a Pythagorean triplet.

4 0
2 years ago
Divide 254 : 6 = Round to the nearest tenth​
snow_lady [41]

Answer:

40

Step-by-step explanation:

AS the ansewer is 42.somthing

and then you round down

5 0
3 years ago
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I need to know how the find the value of x
Anit [1.1K]
The Pythagorean theorem a²+b²=c²
16²+18²=c²
256+324 = 580
√580
24=4x-6
(add six both sides)
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7 0
4 years ago
Can anyone help with this pls
puteri [66]

Answer:

9

Step-by-step explanation:

7 0
2 years ago
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To create a giant gemstone, sara first made two identical square pyramids that each had a base area of 100 square inches. Then s
inysia [295]

Answer:

8 inches.

Step-by-step explanation:

From the statement we have that they first made two identical square pyramids, each with a base area of 100 square inches.

Ab = s ^ 2 = 100

Therefore each side would be:

s = (100) ^ (1/2)

s = 10

So, side of the square base = 10 inches

Then they tell us that they glued the bases of the pyramids together to form the precious stone. The surface area of the gemstone is 520 square inches, so for a single pyramid it would be:

Ap = 520/2 = 260

For an area of the square pyramid we have the following equation:

Ap = 2 * x * s + s ^ 2

Where x is the height of each triangular surface and s is the side of the square base

Replacing we have:

260 = 2 * x * 10 + 10 ^ 2

20 * x + 100 = 260

20 * x = 160

x = 160/20

x = 8

Therefore, the value of x is 8 inches.

5 0
3 years ago
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