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Morgarella [4.7K]
2 years ago
10

What is the equation of the line that is parallel to y=-x+4 and that passes through (-2,-2)?

Mathematics
1 answer:
Gwar [14]2 years ago
5 0

Answer:

y=-x-4

Step-by-step explanation:

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the line joining A(a, 3) to B(2 -3) is perpendicular to the line joining C(10,1) to B. The value of a is?
RideAnS [48]
Well, first off, let's find what is the slope of BC

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
B&({{ 2}}\quad ,&{{ -3}})\quad 
%   (c,d)
C&({{ 10}}\quad ,&{{ 1}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{1-(-3)}{10-2}\implies \cfrac{1+3}{10-2}
\\\\\\
\cfrac{4}{8}\implies \cfrac{1}{2}

now, a line perpendicular to that one, will have a negative reciprocal slope, thus

\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{1}{2}\\\\
slope=\cfrac{1}{{{ 2}}}\qquad negative\implies  -\cfrac{1}{{{ 2}}}\qquad reciprocal\implies - \cfrac{{{ 2}}}{1}\implies \boxed{-2}

now, we know the slope "m" of AB is -2 then, thus

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
A&({{ a}}\quad ,&{{ 3}})\quad 
%   (c,d)
B&({{ 2}}\quad ,&{{ -3}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-3-3}{2-a}=\boxed{-2}
\\\\\\
\cfrac{-6}{2-a}=-2\implies -6=-4+2a\implies -2=2a\implies \cfrac{-2}{2}=a
\\\\\\
-1=a
6 0
3 years ago
Please helppp 15 pointsss What is the y-coordinate of the solution for the system of equations?
Lina20 [59]

y = 3x - 1

x - y = -9


Subs y in second equation.


x - (3x - 1) = -9

x - 3x + 1 = -9

-2x = -9 - 1

-2x = -10

x = -10/-2

x = 5


Subs x


y = 3x - 1

y = 3.5 - 1

y = 15 - 1

y = 14


7 0
3 years ago
Solve the equation 3 . 10^4 = 3,600
quester [9]
The solution is false!
3.1 would become a fraction that will be calculated back into a decimal by the 4th power making it 92.3521=3,600.. so the equality is false because the left hand and the right hand side are different.
8 0
2 years ago
Problem: 89.012 / 22.0 How many sig figs in the final answer?
erma4kov [3.2K]
3 sig figs in the final answer since the denominator has 3 sig figs. So the answer would be 4.05
5 0
3 years ago
The first quartile is the median of the upper half of a data set.<br> True<br> False
Luda [366]

Answer:

false

Step-by-step explanation:

the first quartile is the median of lower half of data

6 0
2 years ago
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