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4 years ago

Through :(3,1), slope =1/2

Mathematics

1 answer:

Alona [7]4 years ago

4 0

Answer:

y = $\frac{1}{2}$ x - $\frac{1}{2}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = $\frac{1}{2}$ , hence

y = $\frac{1}{2}$ x + c ← is the partial equation

To find c substitute (3, 1) into the partial equation

1 = $\frac{3}{2}$ + c ⇒ c = 1 - $\frac{3}{2}$ = - $\frac{1}{2}$

y = $\frac{1}{2}$ x - $\frac{1}{2}$ ← in slope- intercept form

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4 years ago

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3 years ago

A rectangular garden has an area of 360 square feet. the length of the garden is 9 feet longer than the width. find the dimensio

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$\huge\underline{\frak{ \: \: \: \: \: \: Solution : \: \: \: \: \: \: }} \\ \\$

$\frak {\pink{Let}}\begin{cases} \sf{\red{Breadth \: be \: x}}\\ \sf{\orange{The \: Length = x + 9}}\end{cases} \\$

$\bigstar \: \underline{\textsf{According to the given Question :} }\\ \\$

$:\implies \sf Area = Length \times Breadth \\ \\ \\$

$:\implies \sf 360=(x + 9 ) x \\ \\ \\$

$:\implies \sf 360= {x}^{2} + 9x \\ \\ \\$

$:\implies \sf {x}^{2} + 9x - 360 = 0\\ \\ \\$

$:\implies \sf {x}^{2} + 24x - 15x - 360 = 0\\ \\ \\$

$:\implies \sf x(x + 24) - 15(x + 24) = 0\\ \\ \\$

$:\implies \sf (x + 24) \: (x - 15) = 0\\ \\ \\$

$:\implies \underline{ \boxed{ \sf x = - 24 \: or \: x = 15}}\\ \\ \\$

$\therefore\:\underline{\textsf{Ignoring the negative value, the Breadth of rectangular garden is \textbf{15 ft}}}. \\ \\ \\$

$\bigstar \: \underline{\textsf{Dimensions of rectangular garden :}} \\ \\$

$\bullet\:\:\textsf{The Breadth of rectangular garden = x = \textbf{15 ft.}} \\ \\$

$\bullet\:\:\textsf{The Length of rectangular garden = x + 9 = 15 + 9 = \textbf{24 ft.}} \\ \\$

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3 years ago

When solving a system of equations, Jared found y = x + 10 for one equation and substituted x + 10 for y in the other equation.

ruslelena [56]

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4 years ago

Read 2 more answers

Find coordinates for x+5y=10 and 3x+5y=0. I need to know how to do this plz explain.

maks197457 [2]

Answer:

(-5,3)

Step-by-step explanation:

<em><u>Method</u></em>

There are several ways you can do this, but one of the best ways is to use a graphing coordinate calendar. The most popular one is Desmos Graphing Calculator. I've attached an image of my work below using the system.

<u><em>Answer</em></u>

As you can see, both equations intersect at a certain coordinate point. This coordinate point is the point you need for the answer. The intersection is (-5,3).

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!

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3 years ago

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