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3 years ago

Is the number 1.13 greater than, less than or equal to 1

Mathematics

1 answer:

Fantom [35]3 years ago

3 0

1.13 is greater than 1

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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

9err9jwihwr9ihwrighiwrrghihsrhrgishfgisif10101

Svetllana [295]

Answer:

yes

Step-by-step explanation:

...

3 0

3 years ago

If the current temperature is 23∘ C, what is the temperature in degrees Fahrenheit?

den301095 [7]

Answer:

73.4

Step-by-step explanation: Multiply you celsius by 9. Then take that number then by 9. then add by 32

4 0

4 years ago

Which of the following is a solution of x2 + 6x = −18?

Rus_ich [418]

X= 9/4 i think i dont know

6 0

3 years ago

Plzz hurry<br> 12/19(x-22)=38-6x-3

nadya68 [22]

Answer:

x = 929/126

Step-by-step explanation:

12/19(x-22)=38-6x-3

Combine like terms

12/19(x-22)=35-6x

Multiply each side by 19

19* 12/19(x-22)=19*(35-6x)

12( x-22) = 19*(35-6x)

Distribute

12x - 264 = 665 - 114x

Add 114x to each side

12x +114x - 264 = 665 - 114x+114x

126x -264 = 665

Add 264 to each side

126x-264+264 = 665+264

126x = 929

Divide each side by 126

126x/126 = 929/126

x = 929/126

4 0

3 years ago

Read 2 more answers