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anygoal [31]
3 years ago
13

Can someone please help me

Mathematics
2 answers:
Sophie [7]3 years ago
8 0
I believe 11 centimeters is the answer.
pav-90 [236]3 years ago
5 0
I think it is 12 is the length for both sides because the difference from 20 to 15 is 1.33333... (I divided because i learned that reducing means dividing) so then i divided 16 by 1.33333... and i got 12
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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}}}}}

\\

  • 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
Whats 92 divided by 2.7
Stells [14]

Answer:

34.074

Step-by-step explanation:

7 0
3 years ago
{1/8, -0.02555,0.2,-1/7} following set up numbers from least to greatest by the way there are two negatives
nata0808 [166]

Change each of the fractions into decimals.

1/8 becomes 0.125

-1/7 becomes -0.143

and -0.02555

0.2

In order from least to greatest,

-0.143, -0.02555, 0.125, 0.2

OR

-1/7, -0.02555, 1/8 and 0.2

6 0
3 years ago
What time is 5 3/4 hours after 9:22 pm?
Ronch [10]

Answer:

15:37 or 3:37

Step-by-step explanation:

3/4=0.75

0.75+9.22=9.97

5+9.97=14.97

6 0
2 years ago
Can you please answer this question
Nat2105 [25]

Answer:

1. b

2. a

3. d

4. c

Step-by-step explanation:

3 0
3 years ago
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