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3 years ago

Can someone help me and do a step by step answer? I’d appreciate it a lot and I’ll give you brainlist

Mathematics

1 answer:

Shkiper50 [21]3 years ago

6 0

Answer:

y = 1/2x + 4 1/2

Step-by-step explanation:

(9 , 9) (3 , 6)

slope (m) = Rise (Δy) /run (Δx) = (9-6) / (9-3) = 3/6 = 1/2

(y-6)/(x-3) = 1/2

y-6 = 1/2 (x-3) = 1/2x - 3/2

y = 1/2x + 9/2 = 1/2x + 4 1/2

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3 years ago

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lara [203]

Answer:

a. $b=2$

b. $b = 2a$

c. $a = \frac{1}{2}b\\$

d. $b = 10$

Step-by-step explanation:

Gradient is just another similar term for slope l, $m$ , and it can be calculated by $m = \frac{y_2 -y_1}{x_2 -x_1}\\$ where $x_n$ and 1 $y_n$ is the $xy$ -coordinates of point $n$

We let $(0,0)$ be point $1$ and $(a,b)$ be point $2$ , we can then write the equation:

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It also says that the points are with a gradient of $2$ so $m = 2$ . We can then write the equation:

$2 = \frac{b}{a}\\$

Finding $b$ If $a = 1$ :

$2 = \frac{b}{a} \\ 2 = \frac{b}{1} \\ 2 = b \\ b = 2$

Writing an expression for $b$ in terms of $a$ .

$2 = \frac{b}{a} \\ \frac{b}{a} = 2 \\ \frac{b}{a} \times a = 2 \times a \\ b = 2a$

Writing an expression for $a$ in terms of $b$

$2 = \frac{b}{a} \\ \frac{b}{a} = 2 \\ \frac{a}{b} = \frac{1}{2} \\ \frac{a}{b} \times b = \frac{1}{2} \times b \\ a = \frac{1}{2}b$

Finding $b$ if $a = 5$

$2 = \frac{b}{a} \\ 2 = \frac{b}{5} \\ \frac{b}{5} = 2 \\ \frac{b}{5} \times 5 = 2 \times 5 \\ b = 10$

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3 years ago

What is the surface area of the cylinder with height 5 m and radius 7 m? Round your answer to the nearest thousandth.

Nadya [2.5K]

Answer:

It SHOULD be 527.79(m2) If I'm not mistaken.

Step-by-step explanation:

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3 years ago

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Classify each variable as discrete or continuous (a) The time it takes to drive to University. _______________ (b) The number of

pishuonlain [190]

Answer:

(a) Continuous,

(b) Discrete,

(c) Continuous.

Step-by-step explanation:

We are asked to classify each variable as discrete or continuous.

(a) The time it takes to drive to University.

We know that continuous data can take any values within a range, while discrete data can take only certain values.

Height, weight, time are typical examples of continuous data.

Since it can take some minutes or hours to reach university, therefore, the given variable is continuous.

(b) The number of credit cards a person has.

The number of credit cards a person can take lie in the group of positive integers. Since a person can take finite number of credit cards, therefore, the given variable is discrete.

(c) The weight of pumpkins.

We know that the weight of all pumpkins cannot be similar. The weight of pumpkins can be between some kg to some pounds, therefore, the given variable is continuous.

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3 years ago