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IgorLugansk [536]
1 year ago
5

Slope of 4/5, a width of 30…what is the height..?

Mathematics
1 answer:
maw [93]1 year ago
8 0

\qquad\qquad\huge\underline{{\sf Answer}}

Here we go ~

Slope of the graph can be expressed as :

\qquad \sf  \dashrightarrow \:slope =   \tan( \theta)  =  \dfrac{4}{5}

\qquad \sf  \dashrightarrow \:   \dfrac{x}{30}  =  \dfrac{4}{5}

\qquad \sf  \dashrightarrow \: x =  \dfrac{4}{5}  \times 30

\qquad \sf  \dashrightarrow \: x =  {4}{}  \times 6

\qquad \sf  \dashrightarrow \: x = 24 \: units

So, the value of x is 24 units

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Is (–5, 0.5) a solution of this system? x – 4y = –7, 0.2x + 2y = 0 Substitute (–5, 0.5) into x – 4y = –7 to get . Substitute (–5
kaheart [24]

<u>ANSWER: </u>

(-5, 0.5) is the solution of given equation x – 4y = –7, 0.2x + 2y = 0.

<u>SOLUTION: </u>

Given, two equations are x – 4y = -7 → (1)

And 0.2x + 2y = 0 → (2)

We have to find whether (-5, 0.5) is a solution of given system or not.

For that, we have to solve the given two equations.  

Before solving let us multiply equation (2) with 2 in order to get y terms cancelled. Such that, our  process becomes easy.  

Now equation (2) becomes

0.4x + 4y = 0 → ( 3 )

Now, add equation (1) and equation (3), we get

1.4x + 0 = -7

x=\frac{-7}{1.4}=-5

Now, substitute x value in (2)

0.2(-5) + 2y = 0

-1 + 2y = 0

2y = 1

y = 0.5

So, the solution for given equations is (-5, 0.5).

Hence (-5, 0.5) is the solution of given equations.  

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