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Svet_ta [14]
3 years ago
11

Graph the linear equation -4y=-5x-18​

Mathematics
1 answer:
Kobotan [32]3 years ago
4 0

Answer:

The graph intersect the y-axis at (0,4.5)

The graph intersect the x-axis at (-3.6,0)

Step-by-step explanation:

The equation is;

-4y=-5x-18

Dived every term by -4

\frac{-4y}{-4} =\frac{-5x}{-4} -\frac{18}{-4} \\\\\\y=\frac{5}{4}x+\frac{9}{2}

plot using a graph tool to view the liner graph as below

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What is the EQUATION of the line PERPENDICULAR to y=-2x+5 and passing through the point (0,2)?
KonstantinChe [14]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

The required equation is ~

\boxed{ \sf{y =  \frac{x}{2} + 2 }}

\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}

Let's find the slope of given line ~

  • y =  - 2x + 5

comparing it with general slope - intercept form of line (y = mx + c) we get, m = -2 (that is slope of the line)

let the slope of the required line be n

And, now since the required line Is perpendicular to the given line. the product of their slopes is -1

that is ~

  • - 2 \times n =  - 1

  • n = \dfrac{ - 1}{ - 2}

  • n =  \dfrac{1}{2}

slope of required line is ~ 1/2

now, let's use the point - slope form of line to find the equation of required (perpendicular) line (using point (0 , 2) ~

that is ~

  • y - y_1 = m(x - x_ 1)

here, m = slope ~

  • y - 2 =  \dfrac{1}{2} (x - 0)

  • y - 2 =  \dfrac{x}{2}

  • y =  \dfrac{x}{2}  + 2

I hope it helps ~

4 0
2 years ago
A triangle has two constant sides of length 5 feet and 7 feet. The angle between these two sides is increasing at a rate of 0.9
o-na [289]

Answer:12.74 ft^2/s

Step-by-step explanation:

Given

Two sides of triangle of sides 5 ft and 7 ft

and angle between them is increasing at a rate of 0.9 radians per second

let \thetais the angle between them thus

Area of triangle when two sides and angle between them is given

A=\frac{ab\sin C}{2}

A=\frac{5\times 7\times \sin \theta }{2}

Differentiate w.r.t time

\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\cos theta }{2}\times \frac{\mathrm{d} \theta }{\mathrm{d} t}

at \theta =\frac{\pi }{5}

\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\times cos(\frac{\pi }{5})}{2}\times 0.9

\frac{\mathrm{d} A}{\mathrm{d} t}=12.74 ft^2/s

4 0
3 years ago
How long will it take for an investment to triple if it is compounded continuously at 12%
myrzilka [38]

Answer:

9.694 years

Step-by-step explanation:

Let the investment is $P.

So, we are asked to determine the time it will grow to triple with the compound interest rate of 12%.

Let the time is y years.

So, from the formula of compound interest we can write

3P = P(1 + \frac{12}{100} )^{y}

⇒ (1 + \frac{12}{100} )^{y} = 3

⇒ (1.12)^{y} = 3

Now, taking log both sides we get,

y log 1.12 = log 3 {Since, \log a^{b} = b \log a }

⇒ 0.04922y = 0.477712

⇒ y = 9.694 years (Answer)

3 0
3 years ago
An umbrella has 8 ribs which are equally spaced (see fig.). Assuming umbrellato
Nadya [2.5K]

Answer:

Yes.

Step-by-step explanation:

You are correct except to the nearest hundredth it is 795.54 cm^2.

7 0
3 years ago
I need help on these problems
VikaD [51]
Someone is writing the answer so ill just give you this tip for whenever.
A negitive times a negitive is positive
a negative times a positive is negitive
and a positive times a positive is positive (just had to add it to be complete)
8 0
3 years ago
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