Which graph shows this proportional relationship iready

Mathematics

1 answer:

shtirl [24]3 years ago

5 0

Answer:

i don't see a graph???

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

2/3 (6e + 9f -21g) -7f

kiruha [24]

2/3 (6e + 9f -21g) -7f

2/3 (6e-56f -21g)

8 0

3 years ago

Read 2 more answers

How many 1/8s are there in 3/4

natka813 [3]

Answer:

there are 6/8 in 3/4

Step-by-step explanation:

if you want to change the denominator of the fraction, you must find the multiple of it,

(3/4) x 2 is 6/8

so you have 6 x (1/8) thats the same 6/8

3/4 is the minimum simplification, if you want to find the same fraction but with other denominator, you have to multiply 3/4 for any number, to do this you have to multiply the numerator and the denominator

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3 years ago

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Solve the inequality. |5 - 2x|> 14

lord [1]

Answer:

x < −9/2

x > 19/2

I hope this helps <333

8 0

3 years ago

Simple math question!!!