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2 years ago

Which equation shows y = 3/4x - 5/2 in standard form?

1 answer:

4 0

The format for a standard form is ax+by=c.
So, we need to get rid of fractions in the equation first.
To do this, multiply both sides by the "LCM" of the fraction denominators..
The LCM of 4 and 2 is 4. So, multiply both sides by 4:
4y = 3x - 10
Now, change it to standard form by subtracting 3x from both sides:
-3x + 4y = -10
This doesn't match any of the choices. Am I wrong or is the choices wrong? idk

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Find the coordinates of point X that lies along the directed line segment from Y(-8, 8) to T(-15, -13) and partitions the segmen

Nataly_w [17]

Answer:

C. (-13, -7)

Step-by-step explanation:

The location of a point O(x, y) that divides a line AB with location A $(x_1,y_1)$ and B $(x_2,y_2)$ in the ratio m:n is given by:

$x=\frac{m}{m+n} (x_2-x_1)+x_1\\\\y=\frac{m}{m+n} (y_2-y_1)+y_1$

Therefore the coordinates of point X That divides line segment from Y(-8, 8) to T(-15, -13) in the ratio 5:2 is:

$x=\frac{5}{5+2} (-15-(-8))+(-8)\\\\x=\frac{5}{7} (-15+8)-8=\frac{5}{7}(-7)-8=-5-8=-13 \\\\\\y=\frac{5}{5+2} (-13-8)+8\\\\y=\frac{5}{7} (-21)+8=5(-3)+8=-15+8=-7$

Therefore the coordinates of point X is at (-13, -7)

6 0

2 years ago

What is the equation for the line of best fit for the following data? Round the slope and y intercept of the line to three decim

vesna_86 [32]

The line of best fit is given by the equation y = 1.56x - 4.105

<h3>Linear equation</h3>

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change (slope) and b is the y intercept.

Plotting the points on a graph using geogebra online tool:

The line of best fit is given by the equation y = 1.56x - 4.105

Find out more on Linear equation at: brainly.com/question/13763238

3 0

2 years ago

If the airplane had to return to the airport, how far would it have to travel?

valentina_108 [34]

Step-by-step explanation:

Draw a line connecting the plane to the airport

then using Pythagoras theorem u can get d distance from the plane to d airport

4 0

1 year ago

HELP! If quadrilateral ABCD is similar to quadrilateral RSTU, which angle corresponds to ∠C?

Pavlova-9 [17]

Answer:

<C is similar to <T

Step-by-step explanation:

ABCD ≈ RSTU

The angles are similar in order

<A is similar to <R

<B is similar to <S

<C is similar to <T

<D is similar to <U

6 0

2 years ago

Read 2 more answers

How do you factor 2x^4 - 2y^4

labwork [276]

First factor out 2

2(x^4 - y^4)

Rewrite it as ((x^2)^2) and ((y^2)^2)

Then you get..

2 ((x^2)^2) - (y^2)^2))

Now both terms are perfect squares, factor using the difference of squares formula, a^2 + b^2 = (a+b)(a-b)

a= x^2 and b= y^2

2((x^2 + y^2)(x+y)(x-y))

clean it up!

2(x^2 + y^2)(x+y)(x-y)

7 0

2 years ago