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3 years ago

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Unitary method examples.

1 answer:

garri49 [273]3 years ago

7 0

Answer:

For example, if a car runs 44 km on 2 litres of petrol then we can use the unitary method to find out the kilometres it will cover on 1 litre of petrol. In other words, the method by which we find out the value of one unit and further use it to find the value of multiple units is known as the unitary method.

Step-by-step explanation:

Hope this helps!

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Line JK passes through points J(–4, –5) and K(–6, 3). If the equation of the line is written in slope-intercept form, y = mx + b

4vir4ik [10]

The value of "b" is the y-intercept.

In order to figure out slope-intercept form you need 1 coordinate and the slope.
1) Find the slope, using the 2-point slope formula: "m= y2-y1 / x2-x1".
ex. m= -5 - 3 / -4 - -6 (simplify)---> m= -4

2) Fill in the blanks for point-slope formula: "y - y1 = m (x - x1)"
(choose one coordinate, it doesn't matter which one)
ex. y - -5 = -4 (x - -4)

3) Then use basic algebra to simplify.

7 0

3 years ago

2x – 4y = 16<br> -2x - 3y = 7

noname [10]

Bro use the app Socratic

5 0

3 years ago

Please help me somebody!!! I really struggle with this in math class!

Tresset [83]

Answer:

$y - 9 = -\frac{4}{3}(x - 3)$

Step-by-step explanation:

Given the points (3, 9) and (9, 1), we must first solve for the slope of the line before proceeding with writing the point-slope form.

In order to solve for the slope (<em>m </em>), use the following formula:

m = (y₂ - y₁)/(x₂ - x₁)

Let (x₁, y₁) = (3, 9)

(x₂, y₂) = (9, 1)

Substitute these values into the given formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (1 - 9)/(9 - 3)

$m = \frac{-8}{6} = \frac{-4}{3}$

Therefore, the slope of the line, m = -4/3.

Next, using the slope, m = -4/3, and one of the given points, (x₁, y₁) = (3, 9), substitute these values into the following point-slope form:

y - y₁ = m(x - x₁)

$y - 9 = -\frac{4}{3}(x - 3)$ ⇒ This is the <u>point-slope form</u>.

4 0

3 years ago

Could someone help me please?

fenix001 [56]

Answer:

a. 7.2

b. 6

Step-by-step explanation:

Since the side lengths of similar polygons are proportional to each other, therefore:

$\frac{b}{10} = \frac{9}{15} = \frac{a}{12}$

Thus, let's find b using:

$\frac{b}{10} = \frac{9}{15}$

Cross multiply

$b*15 = 10*9$

$15b = 90$

Divide both sides by 15

b = 6

Let's find a using:

$\frac{9}{15} = \frac{a}{12}$

Cross multiply

9*12 = 15*a

108 = 15a

Divide both sides by 15

a = 7.2

5 0

3 years ago

Please find the answer to this function! F(2)= 6x^4-10x^3+40x-50

steposvetlana [31]

<u>Answer-</u>

$f(2)= 6x^4-10x^3+40x-50=46$

<u>Solution-</u>

The given function is,

$\Rightarrow f(x)= 6x^4-10x^3+40x-50$

Now, we have to find the value of f(x) at x=2 i.e f(2), so putting x as 2 in the given function,

$\Rightarrow f(2)= 6(2)^4-10(2)^3+40(2)-50$

$\Rightarrow f(2)= (6\times 16)-(10\times 8)+(40\times 2)-50$

$\Rightarrow f(2)= (6\times 16)-(10\times 8)+(40\times 2)-50$

$\Rightarrow f(2)= 96-80+80-50$

$\Rightarrow f(2)= 96-50$

$\Rightarrow f(2)= 46$

Therefore, f(2) was found to be 46.

7 0

4 years ago