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matrenka [14]
4 years ago
11

I need help with problem 27,28,29

Mathematics
2 answers:
Grace [21]4 years ago
7 0
Can't see 28 and 29 plz take a better picture
Rom4ik [11]4 years ago
5 0
27 has to be C
I can't see the whole question for 28 and 29
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Anyone??? need some help huys:)
atroni [7]

Slope-intercept form:

y = mx + b        "m" is the slope


First i would isolate the "y" in the equation.

2x + y = 4       Subtract 2x on both sides

2x - 2x + y = 4 - 2x

y = 4 - 2x    or     y = -2x + 4

The given line's slope is -2.


For lines to be perpendicular, their slopes have to be the opposite/negative reciprocals (flipped sign and number)

For example:

slope is 2

perpendicular line's slope is -1/2

slope is -2/3

perpendicular line's slope is 3/2


The given line's slope is -2, so the perpendicular line's slope is 1/2.

The 3rd option is your answer

4 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
3 years ago
What kind of triangle is this?
Talja [164]
Obtuse angle................................
7 0
3 years ago
Read 2 more answers
the table shows the balance of a money market account over time. write a function that represents the balancr y (in dollars) aft
Solnce55 [7]

Answer:

y = 1500 * 1.09^t

Step-by-step explanation:

It should be clear that the rate of change is non-linear, meaning that we can express the function in the following manner

y = a * b^t, where a is the initial value and b is the rate of change and t is how many years.

Well, year 0 is the rate of change so we can say that a = 1500

Next, we divide any two consecutive year balances to find our rate of change:

1635/1500 = 1.09

Therefore, our equation looks like this: y = 1500 * 1.09^t

6 0
3 years ago
2. A parent pledged $0.50 per lap in a walk-thon at school.
Readme [11.4K]
But how many laps did she walk
3 0
3 years ago
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