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3 years ago

What is the midpoint of a line segment with the end points (-6 -3) and (9 -7)

Mathematics

1 answer:

Hoochie [10]3 years ago

4 0

Answer: (1.5, -5)

Step-by-step explanation:

If you use the midpoint formula and plug in your coordinates, you’ll get (-6+9/2, -3+(-7)/2). Simplify and you get (3/2, -5) which is also (1.5, -5).

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Solve algebraically please URGENT <br> y=5x−7 <br> −6x−4y=−24

Kazeer [188]

$\left\{\begin{array}{ccc}y=5x-7\\-6x-4y=-24&\text{divide both sides by (-2)}\end{array}\right\\\left\{\begin{array}{ccc}y=5x-7&(*)\\3x+2y=12&(**)\end{array}\right\\\\\text{substitute }\ (*)\ \text{to}\ (**):\\\\3x+2(5x-7)=12\qquad\text{use distributive property}\\\\3x+(2)(5x)+(2)(-7)=12\\\\3x+10x-14=12\qquad\text{add 14 to both sides}\\\\13x=26\qquad\text{divide oth sides by 13}\\\\\boxed{x=2}\\\\\text{Put the vaalue of x to}\ (*):\\\\y=5(2)-7\\\\y=10-7\\\\\boxed{y=3}\\\\Answer:\ \boxed{x=2\ and\ y=3\to(2,\ 3)}$

7 0

3 years ago

What ere the coordinates of the point on the directed line segment from (-1,7) to (7,7) that partitions the segment into a ratio

djverab [1.8K]

Answer:

$(\frac{37}{11},\frac{77}{11} )$

Step-by-step explanation:

Given two points are (-1,7) and (7,7).

We are told to find a point which is in between them at a ratio of 6:5.

Formula for calculating a point at distance of ratio m:n is given by

$(\frac{mx2+nx1}{m+n} ,\frac{my2+ny1}{m+n} )$

where $(x1,y1),(x2,y2)$ are the inital and final points.

$(x1,y1)=(-1,7)\\\\(x2,y2)=(7,7)$

also m:n=6:5 ,

by substituting all the values we get,

$(\frac{6*7+5*-1}{11} ,\frac{6*7+5*7}{11} )$

$(\frac{37}{11},\frac{77}{11} )$

5 0

3 years ago

PLEASE HELP ME Determine the premiter of the figure . Use 3.14 for PI Round to the nearest tenth. Numbers are 10 in and 15in

densk [106]

Answer:

5 $\pi$ +40

Step-by-step explanation:

perimeter of circle=2 $\pi$ r

so 5 is r(radius)

so 10 $\pi$ , but since it’s semicircle, you have to divide by 2, so

5 $\pi$

perimeter of rectangle=15+10+15 because you don’t count the inside, so that equals 40

so 5 $\pi$ +40

3 0

2 years ago

2x(x-4)=12 in standard form

earnstyle [38]

$24x^{2} -96x$

8 0

3 years ago

Which is the graph of y = ⌊x⌋ – 2?

Alexandra [31]

Answer:

The third graph

Step-by-step explanation:

The Greatest Integer function (also called "floor" function. is in fact the one depicted on your first graph on the left. It indicates the integer part of the real number x.

So, if one translates such function two units down , as requested by the subtraction of 2 of the function y the problem shows, one ends up with the third graph depicted on the page.

5 0

3 years ago