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Lyrx [107]
3 years ago
7

Please help me, i don’t understand

Mathematics
1 answer:
Zepler [3.9K]3 years ago
6 0

Answer: (39=2x-11), (x=14)

Step-by-step explanation:

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*Will mark Brainliest (10 points)*<br><br> Please explain, thanks!
MAVERICK [17]
Standard form Ax + By = C
so
<span>(y - y1) = m(x - x1)
</span>given (5, -7) and m = -1/5
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y + 7 = -1/5(x - 5)
-5y - 35 = x - 5
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d. x + 5y = -30
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3 years ago
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Fiesta28 [93]
<h2>Answer:</h2>

y = \frac{-5}{4}x + 3

<h2>Step-by-step explanation:</h2>

As shown in the graph, the line is a straight line. Therefore, the general equation of a straight line can be employed to derive the equation of the line.

The general equation of a straight line is given by:

y = mx + c <em>or            </em>-------------(i)

y - y₁ = m(x - x₁)        -----------------(ii)

Where;

y₁ is the value of a point on the y-axis

x₁ is the value of the same point on the x-axis

m is the slope of the line

c is the y-intercept of the line.

Equation (i) is the slope-intercept form of a line

Steps:

(i) Pick any two points (x₁, y₁) and (x₂, y₂) on the line.

In this case, let;

(x₁, y₁) = (0, 3)

(x₂, y₂) = (4, -2)

(ii) With the chosen points, calculate the slope <em>m</em> given by;

m = \frac{y_2 - y_1}{x_2-x_1}

m = \frac{-2-3}{4-0}

m = \frac{-5}{4}

(iii) Substitute the first point (x₁, y₁) = (0, 3) and m = \frac{-5}{4} into equation (ii) as follows;

y - 3 = \frac{-5}{4}(x - 0)

(iv) Solve for y from (iii)

y - 3 = \frac{-5}{4}x

y = \frac{-5}{4}x + 3 [This is the slope intercept form of the line]

Where the slope is \frac{-5}{4} and the intercept is 3

8 0
3 years ago
I need help with these questions for Quadratic functions
STALIN [3.7K]

9514 1404 393

Explanation:

1. The general form of a quadratic in standard form* is ...

  f(x)=ax^2+bx+c

An example is ...

  f(x)=2x^2+3x-5

The constant c is the y-intercept, so is the easiest bit of information to obtain in this form.

__

2. The general form of a quadratic in vertex form can be written as ...

  f(x)=a(x-h)^2+k

An example is ...

  f(x)=2(x -3)^2 -5

The ordered pair (h, k) is the vertex of the parabola, so is easy to obtain in this form. Arguably, it may be easier to identify the line of symmetry, x=h, since that requires looking at only one constant, instead of two.

_____

* In the UK, "standard form" is vertex form.

7 0
3 years ago
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