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2 years ago

(HELP FAST )What is the solution to this system of equations? *

Mathematics

1 answer:

Phantasy [73]2 years ago

8 0

Answer:

(1,3) should be the answer due to the fact that both lines intersect at that point.

Step-by-step explanation:

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A car rental company charges rs 500 a day

Montano1993 [528]

Answer:

total bill=1644

let he drives x kilometer

then

500*2+8*x=1644

1000+8x=1644

8x= 1644-1000

8x= 644

x= 644/8=80.5 km

Step-by-step explanation:

8 0

3 years ago

Find the exact value of tan (arcsin (two fifths)). For full credit, explain your reasoning.

Hitman42 [59]

$\bf sin^{-1}(some\ value)=\theta \impliedby \textit{this simply means}
\\\\\\
sin(\theta )=some\ value\qquad \textit{now, also bear in mind that}
\\\\\\
sin(\theta)=\cfrac{opposite}{hypotenuse}\qquad 
\qquad 
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}\\\\
-------------------------------\\\\$

$\bf sin^{-1}\left( \frac{2}{5} \right)=\theta \impliedby \textit{this simply means that}
\\\\\\
sin(\theta )=\cfrac{2}{5}\cfrac{\leftarrow opposite}{\leftarrow hypotenuse}\qquad \textit{now let's find the adjacent side}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}$

$\bf \pm \sqrt{5^2-2^2}=a\implies \pm\sqrt{21}=a
\\\\\\
\textit{we don't know if it's +/-, so we'll assume is the + one}\quad \sqrt{21}=a\\\\
-------------------------------\\\\
tan(\theta)=\cfrac{opposite}{adjacent}\qquad \qquad tan(\theta)=\cfrac{2}{\sqrt{21}}
\\\\\\
\textit{and now, let's rationalize the denominator}
\\\\\\
\cfrac{2}{\sqrt{21}}\cdot \cfrac{\sqrt{21}}{\sqrt{21}}\implies \cfrac{2\sqrt{21}}{(\sqrt{21})^2}\implies \cfrac{2\sqrt{21}}{21}
$

7 0

2 years ago

Why is angle h congruent to angle k

hammer [34]

Because both of the polygons are congruent and are flipped so there for they are the same angle

6 0

2 years ago

17 dozen cookies<br> are made in 2<br> hours. At this rate,<br> how many are<br> made in 5 hours?

prohojiy [21]

Answer:

= 12 miles per hour

Step-by-step explanation:

thats the answer i promise plus im in 6th grade

7 0

2 years ago

20 POINTS PLZ HELP

blondinia [14]

Answer:

It would be a straight line.

Step-by-step explanation:

It would be a negative, linear line. It would be steep.

3 0

2 years ago