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WINSTONCH [101]
3 years ago
15

Five fourths of a right angle

Mathematics
1 answer:
sleet_krkn [62]3 years ago
8 0
The answer would be 112.5 plz give me thanks and full rating PLZZZZZZ
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Find the equation of the line that passes through (0, -3) and is parallel to
Tresset [83]

Hey there!

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  • Answer:

\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}

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  • Explanation:

To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.

Let the line that we are trying to determine its equation be \: \sf{d_1} \: and the line that is parallel to \: \sf{d_1} \: be \: \sf{d_2} \: .

\sf{d_2} \: passes through the points (9 , 2) and (3 , -5) which means that we can find its slope using the slope formula:

\sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{y_2} - \orange{y_1}}{\red{x_2} - \blue{x_1 }}}

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⇒Subtitute the values :

\sf{(\overbrace{\blue{9}}^{\blue{x_1}}\: , \: \overbrace{\orange{2}}^{\orange{y_1}}) \: \: and \: \: (\overbrace{\red{3}}^{\red{x_2}} \: , \: \overbrace{\green{-5}}^{\green{y_2}} )}

\implies \sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{-5} - \orange{2}}{\red{ \: \: 3} - \blue{9 }} = \dfrac{ - 7}{ - 6} = \boxed{ \bold{\dfrac{7}{6} }}}

\sf{\bold{The \: slope \: of \: both \: lines \: is \: \dfrac{7}{6}}}.

Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:

Slope-Intercept Form:

\sf{y = mx + b} \\ \sf{Where \: m \: is \: the \: slope \: of \:  the \: line \: and \: b \: is \: the \: y-intercept.}

\implies \sf{y = \bold{\dfrac{7}{6}}x + b} \\

We know that the coordinates of the point (0 , -3) verify the equation since it is on the line \: \sf{d_1} \:. Now, replace y with -3 and x with 0:

\implies \sf{\overbrace{-3}^{y} = \dfrac{7}{8} \times \overbrace{0}^{x} + b} \\ \\ \implies \sf{-3 = 0 + b} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf{\boxed{\bold{b = -3}} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:

Therefore, the equation of the line \: \bold{d_1} \: is \green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}

\\

▪️Learn more about finding the equation of a line that is parallel to another one here:

↣brainly.com/question/27497166

8 0
1 year ago
Read 2 more answers
Select the student who reads the fastest (greatest number of words per minute)
lesya [120]
Help meee with my math
5 0
2 years ago
If you bought a stock last year for a price of $67, and it has risen 12% since then, how much is the stock worth now, to the nea
lisabon 2012 [21]

Answer:$75.04

Step-by-step explanation:

last year price=$67

12% of 67

12/100 x 67

(12 x 67) ➗ 100

804 ➗ 100=8.04

Since it has risen by 12%

There new price is 67+8.04=75.04

4 0
3 years ago
Write <img src="https://tex.z-dn.net/?f=3x%5E%7B2%7D%20-x-3%2Bx%5E%7B3%7D" id="TexFormula1" title="3x^{2} -x-3+x^{3}" alt="3x^{2
Elza [17]

Answer:

Standard form: x^3+3x^2-x-3

Leading coefficient: 1

Step-by-step explanation:

3x^2-x-3+x^3=\\x^3+3x^2-x-3

The leading coefficient is 1 because the leading term is x^3.

5 0
2 years ago
What does 7 grams equal
barxatty [35]

Answer: 7 grams is equal to 7×10^-3kg

Step-by-step explanation: One thousand grams is equal to one kilogram. To get the answer we have to divide 7 by 1000 to get the answer in kg.

5 0
3 years ago
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