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liq [111]
3 years ago
14

What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line whose equation is 4

x + y - 2 = 0?
A) 4 x - y = 13
B) 4 x + y = 13
C) 4 x + y = -13
Mathematics
2 answers:
Dmitry_Shevchenko [17]3 years ago
5 0
   
<span>The equation is:   4x + y + a = 0

Point (4, -3)  </span>⇒  x = 4  and  y = - 3<span>

</span>⇒ 4 · 4 - 3 + a = 0
<span>
16 - 3 +a = 0

13 + a = 0

a = -13

</span>Ansver:   equation is:   4x + y - 13 = <span>0     OR     4x + y = 13
</span>


Travka [436]3 years ago
4 0

Answer:

4x + y + a = 0

Point (4, -3)  ⇒  x = 4  and  y = - 3

⇒ 4 · 4 - 3 + a = 0

16 - 3 +a = 0

13 + a = 0

a = -13

Ansver:  4x + y - 13 = 0     OR     4x + y = 13

Step-by-step explanation:

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\huge\underline{\sf{\red{Problem:}}}

7.) Detemine the value of \sf{ {3a}^{2}  -b.}

\huge\underline{\sf{\red{Given:}}}

\quad\quad\quad\quad\sf{a = 2}

\quad\quad\quad\quad\sf{b =  - 1}

\quad\quad\quad\quad\sf{c =  - 3}

\huge\underline{\sf{\red{Solution:}}}

\quad\quad\quad\quad\sf{⟶{3a}^{2}  - b}

\quad \quad \quad \quad   \sf{⟶{(3)( 2)}^{2}  -( - 1)}

\quad \quad \quad \quad   \sf{⟶3(4)-( - 1)}

\quad \quad \quad \quad   \sf{⟶12-( - 1)}

\quad \quad \quad \quad   \sf{⟶12 +  1 }

\quad \quad \quad \quad ⟶ \boxed{ \sf{ 13}}

\huge\underline{\sf{\red{Answer:}}}

\huge\quad \quad \underline{ \boxed{ \sf{ \red{7.)\:13}}}}

8.) Find the value of \sf{ {a}^{3}  {b}^{3}  - abc.}

\huge\underline{\sf{\red{Solution:}}}

\quad\quad\quad\quad\sf{⟶ {a}^{3}  {b}^{3}  - abc}

\quad\quad\quad\quad\sf{⟶{(2)}^{3}  {( - 1)}^{3}  - (2)( - 1)( - 3)}

\quad\quad\quad\quad\sf{⟶{(8)}{( - 1)}  - ( - 2)( - 3)}

\quad\quad\quad\quad\sf{⟶{( - 8)}  - ( 6)}

\quad\quad\quad\quad ⟶\boxed{\sf{  - 14}}

\huge\underline{\sf{\red{Answer:}}}

\huge\quad \quad \underline{ \boxed{ \sf{ \red{8.)-14}}}}

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#CarryOnLearning

\sf{\red{✍︎ C.Rose❀}}

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Aleksandr [31]

The value of c is 5 units.

Step-by-step explanation:

Given,

WY = a =  4

ZY = b = 3

As WYZ is forming a right angle triangle, therefore, we can use pythagorean theorem to find the value of c

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Keywords: triangle, square root

Learn more about triangles at:

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