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3 years ago

Through: (3,0), parallel to y = 2/3x+1

Mathematics

1 answer:

Aleks [24]3 years ago

8 0

Answer:

y = 2/3x - 2

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is y = 2/3x + 1. Its slope is 2/3. A line parallel to this one will also have a slope of 2/3.

Plug this value (2/3) into your standard point-slope equation of y = mx + b.

y = 2/3x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (3, 0). Plug in the x and y values into the x and y of the standard equation.

0 = 2/3(3) + b

To find b, multiply the slope and the input of x (3)

0 = 2 + b

Now, subtract 2 from both sides to isolate b.

-2 = b

Plug this into your standard equation.

y = 2/3x - 2

This equation is parallel to your given equation (y = 2/3x + 1) and contains point (3, 0)

Hope this helps!

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Answer:

the quotient is keeping batman alive

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3 years ago

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In triangle abc, cos A= -0.6. Find A and Tan A

Tresset [83]

Answer:

Part 1) $A=126.87^o$

Part 2) $tan(A)=-\frac{4}{3}$

Step-by-step explanation:

we have

$cos(A)=-0.6$

The cos(A) is negative, that means that the angle A in the triangle ABC is an obtuse angle and the value of the sin(A) is positive

The angle A lie on the II Quadrant

step 1

Find the measure of angle A

$cos(A)=-0.6$

using a calculator

$A=cos^{-1}(-0.6)=126.87^o$

step 2

Find the sin(A)

we know that

$sin^2(A)+cos^2(A)=1$

substitute the value of cos(A)

$sin^2(A)+(-0.6)^2=1$

$sin^2(A)=1-0.36$

$sin^2(A)=0.64$

$sin(A)=0.8$

step 3

Find tan(A)

we know that

$tan(A)=\frac{sin(A)}{cos(A)}$

substitute the values

$tan(A)=\frac{0.8}{-0.6}$

Simplify

$tan(A)=-\frac{4}{3}$

5 0

3 years ago

The equation, y = 1250x + 22,850, gives the salary of a person as "y" after the stated number of years (x). Model the data with

Sidana [21]

Answer:

(a) $y = 6250x +17850$ --- The function

(b) $y = 49100$ --- The salary in 5 years

Step-by-step explanation:

Given

$y = 1250x + 22850$

Solving (a): Model the function around (1,24100) and (3,36600)

First, we calculate the slope

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{36600 - 24100}{3 - 1}$

$m = \frac{12500}{2}$

$m = 6250$

The function is then calculated as:

$y = m(x - x_1) + y_1$

$y = 6250(x - 1) + 24100$

$y = 6250x - 6250 + 24100$

$y = 6250x +17850$

Solving (b): Salary in 5 years

Here:

$x = 5$

So:

$y = 6250x +17850$

$y = 6250*5 +17850$

$y = 49100$

8 0

3 years ago

The line is parallel to

tino4ka555 [31]

Recall that parallel lines have the same slope.

A line parallel to y= (-3/5)x + 8 would have the same equation EXCEPT for a different constant, C, replacing that '8.'

This new line passes thru (-5,-3). In y= (-3/5)x + C, replace x with -5 and replace y with -3. Then:

-3 = (-3/5)(-5) + C. Find C:

-3 = 3 + C. Thus, C = 6

Thus, the equation of the new line is y= -(3/5)x - 6

Check: Let x = -5 and y = -3. Is the above equation true?

-3 = (-3/5)(-5) - 6

-3 = 3 - 6, or -3 = -3.

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3 years ago

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umka21 [38]

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D) m∠2 + m∠3 = m∠6

E) m∠2 + m∠3 + m∠5 = 180°

Step-by-step explanation:

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2 years ago