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3 years ago

What is the answer to114 times 12

Mathematics

1 answer:

Marat540 [252]3 years ago

7 0

A n s w e r :

1368.00

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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

If I get 100 dollars a week for four months how much will I have

Gre4nikov [31]

Answer:

1600 dollars

Step-by-step explanation:

Find out how much you earn a month

1 month = 4 weeks

1 month = 100 x 4 = 400 dollars

Now find out 4 months

4 months = 400 x 4 = 1600 dollars

4 0

3 years ago

Read 2 more answers

What is the slope and y-intercept of this<br> equation? y = 5x

denis-greek [22]

Answer:

Slope- 5 y-int- (0,0)

Step-by-step explanation:

y=mx+b, where m=slope and b=y-int. m=5, and we don't see a b, so it must be 0.

8 0

3 years ago

Question 2 (1 point)

Marrrta [24]

Answer:

acute

Step-by-step explanation:

obtuse is over 90°

acute I less that 90°

and right is exactly 90°

6 0

3 years ago

B = 4 and c = -5, evaluate b 2 - c 2

NISA [10]

Hey!

-------------------------------------------------

Steps To Solve:

~Substitute

(4)2 - (-5)2

~Multiply

8 - (-10)

~Subtract

-------------------------------------------------

Answer:

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Hope This Helped! Good Luck!

4 0

3 years ago

Read 2 more answers