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PolarNik [594]
3 years ago
11

Help! Find the coordinates of P so that P partitions the segment AB in the ratio 6:2 if A(−4,12) and B(9,−4).

Mathematics
1 answer:
LekaFEV [45]3 years ago
7 0

(5.75,0)

Let A be (x1,y1) , B be (x2,y2) , P be (x,y) and the ratio be m:n

Formula is,

x=(x2*m+x1*n)/(m+n)

y=(y2*m+y1*n)/(m+n)

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6(x-4)=7(x+3) <br> Show your work
sergeinik [125]

Answer:

do distributive property on both, so multiply 6•x and 6•-4. then multiply 7•x and 7•3.

so it'll basically be 6x - 24 = 7x + 21.

then add 24 to both sides so: 6x - 24 + 24 = 7x + 21 + 24. since -24+24=0 it'll be 6x = 7x + 21 + 24.

then add 21 + 24 and that will be 45.

so 6x = 7x + 45

then subtract 7x from both sides 6x - 7x = 7x + 45 - 7x

that'll be -x = 7x + 45 - 7x

combine like terms (7x - 7x) = 0

so -x = 45

and since x can't be negative, do the opposite signs

so instead of -x = 45, make it x = -45

Hope it helped! (sorry that's its very long just wanted to show u the steps just in case)

3 0
3 years ago
The points (2, 1.3), (3, 2.0), (4, 2.2), and (5, 2.8) are modeled by the function y = 0.5x + 0.4. Which graph correctly displays
butalik [34]
I think the answer is C. 
3 0
3 years ago
Identify the vertex (the 2 beside the "x" means squared) <br><br> y=-x2 + 18x - 72
myrzilka [38]

Answer:

Write the problem as a mathematical expression.

y=−x²+18x−72

Rewrite the equation in vertex form.

y=−(x−9)²+9

Use the vertex form, y=a(x−h)2+k , to determine the values of a, h, and k.

a=−1

h=9

k=9

Find the vertex (h,k).

(9,9)

Good Luck !

Step-by-step explanation:

6 0
3 years ago
Given that . In the space below, type a function that would shift f(x) right 2.5 units, down 7 units, vertically shrink the func
Mkey [24]
Y = a |x-k|+h

a = slope it can be either vertical compression or vertical stretch
k = determines if a point should move right or left (x-axis)
h = determines if a point should move up or down (y-axis)

The answer to the question would be
y = - |x - 2.5|-7
4 0
4 years ago
Factor this expression.
Anna35 [415]

Step-by-step explanation:

<em>3</em><em>x</em><em>²</em><em>-</em><em>1</em><em>5</em><em>x</em>

<em>3</em><em>x</em><em>(</em><em>x-5</em><em>)</em>

<em>When</em><em> </em><em>you</em><em> </em><em>multiply </em><em>you</em><em> </em><em>will</em><em> </em><em>get </em><em>the</em><em> </em><em>expression</em><em> </em><em>given </em><em>that</em><em>'s</em><em> </em><em>why</em><em> </em><em>it</em><em>'s</em><em> </em><em>th</em><em>e</em><em> </em><em>co</em><em>rrect</em><em> </em><em>a</em><em>nswer</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>q</em><em>uestion</em>

<em>So</em><em> </em><em>the</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>C</em>

5 0
3 years ago
Read 2 more answers
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