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vekshin1
3 years ago
12

Which equation describes the line with the slope 2/3 that passes through the given point on the graph?

Mathematics
1 answer:
Phoenix [80]3 years ago
5 0

<em>Answer: y=2/3x-2</em>

<em />

<em>Step-by-step explanation:</em>

<em>Slope intercept form is: y=mx+b</em>

<em>m=slope</em>

<em>b= y-intercept</em>

<em>slope is </em><em>2/3</em>

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Find x<br> A. 22√2<br> B. 22<br> C. 11√3/3<br> D. 11√3
mel-nik [20]

Answer

22\sqrt{2}

Step-by-step explanation:

First we gave a name to the side that is common for both triangles, can be Y for example.

Using trigonometric functions we can make a relationship between the two angles that we have and the magnitud of the side.

sin(45)=\frac{11}{Y}  \\ , Because sin(x)= op/hip

cos(60)=\frac{Y}{x} , Because con(x)=ad/hip

Having this equations, we can solve the system and find x

Y=\frac{11}{sin(45)} \\Y=cos(60)*x

we equal Y and solve

\frac{11}{sin(45)}=cos(60)*x\\ x=\frac{11}{sin(45)*cos(60)} \\x=\frac{11}{\frac{\sqrt{2} }{2} *\frac{1}{2} } \\x=\frac{11}{\frac{\sqrt{2} }{4} } \\x=\frac{44}{\sqrt{2} }\\

Then we rationalize

x=22\sqrt{2}

Hope you like it!

7 0
3 years ago
Read 2 more answers
Is the function linear or quadratic?
fgiga [73]

It is quadratic since a quadratic function is of the form :y=ax²+bx+c ,a,b,c are constants.

7 0
3 years ago
find the equation of a straight line passing through the point (3,3) which is perpendicular to the line y=-1/2x-4
Mars2501 [29]

Answer:

y = 2x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \frac{1}{2} x - 4 ← is in slope- intercept form

with slope m = - \frac{1}{2}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{1}{2} } = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (3, 3) into the partial equation

3 = 6 + c ⇒ c = 3 - 6 = - 3

y = 2x - 3 ← equation of perpendicular line

4 0
3 years ago
A company owes a bank $3600. Beginning with month 1, the company repays the bank $300 each month.
allochka39001 [22]

Answer:

3,900

Step-by-step explanation:

5 0
2 years ago
Find a formula for the inverse g (x) =(x-1) ^1/3-1
katrin [286]
Y= x+ (x-1) ^1/3-1
y+1=x+(x-1) ^1/3
(1/3)1/3=0
y+1(1/3)= x+(x+1)
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y/3=2x+1
(y/3)(2/1)=x+1
2y/3-1=x
g(x)= (2y/3-1)⁻⁻¹
6 0
3 years ago
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