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3 years ago

Indicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5).

2 answers:

4 0

If it is bisector then it co ordinate points is in mid way(3,-2)

and it is perpendicular so its slope m2=-1/m1
where m1 is slope of another line passes through (4,1) nd (2,-5)

m1=-5-1/2-4=3
m2==-1/3

so equation of line is
y-3= -1/3(x+2)

MaRussiya [10]3 years ago

4 0

Answer:

So the correct answer is y= -1/3x - 1.

Step-by-step explanation:

My fist step to solving this question would be to find the mid-point of the given line. The mid point of (4,1) and (2,-5) is (3,-2). The mid point is where the perpendicular bisector connects or bisects the given segment. My second step would be to graph the two given points and to connect them, forming a line. This way, I would know the slope of the line and then I would be able to find the slope of the perpendicular bisector, since the slope for perpendicular lines is the opposite reciprocal of the given line. In doing this, I discovered that the slope of the segment with the given endpoints is 3 which means that the slope of the perpendicular bisector will be -1/3. So, so far we've got a point of intersection and a slope which is all we need to formulate the equation of the line that we are looking for.

In the end, our answer will be y= -1/3x - 1.

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An amusement park charges admission plus a fee for each ride. Admission plus 2 rides costs $10. Admission plus five rides costs

LenaWriter [7]

Answer:

The charge for admission is $6 and the charge for each ride is $2

Step-by-step explanation:

Let

x ----> the charge for admission

y ----> the charge for each ride

we have that

$x+2y=10$ -----> equation A

$x+5y=16$ -----> equation B

Solve the system by elimination

Subtract equation B from equation A

$x+2y=10\\-(x+5y)=-16\\---------\\2y-5y=10-16\\-3y=-6\\y=2$

Find the value of x

substitute the value of y in any equation

$x+2(2)=10$

$x+4=10$

$x=10-4$

$x=6$

therefore

The charge for admission is $6 and the charge for each ride is $2

8 0

3 years ago

how many cubic blocks of side length 1/6 inch would take to fill a rectangular prism with a length, width, and height of 1/3 inc

borishaifa [10]

Volume of one cubic block = (1/6)^3 = 1/216 cu ins

Volume of the prism = 1/3 * 2/3 * 2/3 = 4/27 cu ins

Number of blocks to fill prism = 4/27 / 1/216 = (216*4) / 27 = 32

3 0

3 years ago

Read 2 more answers

Given logx 2=p and logx 7=q , express log7 4x² in terms of p and q

kodGreya [7K]

Answer:

[2(p + 1)]/q

Step-by-step explanation:

logx 2 = p

logx 7 = q

log7 4x² = log7 (2x)²

= (logx (2x)²)/(logx 7)