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ikadub [295]
3 years ago
14

Find point P that divides segment AB into a 2:3 ratio. The point should be closer to A. A(-3,1) and B(3,5). p=

Mathematics
1 answer:
cestrela7 [59]3 years ago
8 0
To find the point that divides the segment into a 2:3 partition, a formula can be used. The formula is:

[  x1 + (ratio)*(x2 - x1) , y1 + (ratio)*(y2 - y1) ]

Substituting the given values:

[  -3 + (2/5)*(3 + 3) , 1 + (2/5)*(5 - 1) <span>]
</span>(-0.6 , 2.6)

Therefore, the point P that divides segment AB into a 2:3 ratio is found at (-0.6 , 2.6).
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Draw graphs of the following lines: The line through (-5, 2) having the slope of -3
Ivanshal [37]
What you want to do here is take this information and plug it into point-slope form. any time you're given a point and a slope, you generally want to plug it into this equation: y - y1 = m(x - x1).

in this equation, m is your slope and (x1, y1) is a given point. plug in your info--slope of -3 and (-5, 2).

y - 2 = -3(x + 5)

that is the equation of your line. however, if you want to graph it, this doesn't really make much sense to you. convert it to slope-intercept form, y = mx + b, by solving for y.

y - 2 = -3(x + 5) ... distribute -3
y - 2 = -3x - 15 ... add 2
y = -3x - 13 is your equation.

to graph this, and any other y = mx + b equation, you want to start with your y-intercept if it's present. your y intercept here is -13, which means the line you wasn't to graph crosses the y-axis at y = -13, or (0, -13). put a point there.

after you've plotted that point, you use your slope to graph more. remember that your slope is "rise over run"--you rise up/go down however many units, you run left/right however many units. if your slope is -3, you want to go down 3 units, then go to the right 1 unit. remember that whole numbers have a 1 beneath them as a fraction. -3/1 is your rise over 1.
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3 years ago
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Wittaler [7]

Answer:

A. x=6   B. x=4.5   C. x-35   D. x=13

Step-by-step explanation:

For A and B, divide the numbers you have. For C and D, multiply the numbers you have.

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Step-by-step explanation:

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Let x=number 1 let y=number2
there sum is equal to 70
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number1+number2=70

substituting

x+y=70

y=70-x
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