what is the distance between 1/4 and 3 1/16?

Given:

Two points are A(-7,2) and B(3,4).

To find:

The perpendicular bisector of AB.

Solution:

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Slope of AB is

[tex]m_1=\dfrac{4-2}{3-(-7)}[/tex]

[tex]m_1=\dfrac{2}{3+7}[/tex]

[tex]m_1=\dfrac{2}{10}[/tex]

[tex]m_1=\dfrac{1}{5}[/tex]

Procut of slopes of perpendicular line is -1.

So, slope of perpendicular bisect is opposite of reciprocal of [tex]\dfrac{1}{5}[/tex].

[tex]m_2=-5[/tex]

Midpoint of AB is

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-7+3}{2},\dfrac{2+4}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-4}{2},\dfrac{6}{2}\right)[/tex]

[tex]Midpoint=\left(-2,3\right)[/tex]

Slope of perpendicular bisector is -5 and it passes through (-2,3), so the equation of perpendicular bisector is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope.

[tex]y-3=-5(x-(-2))[/tex]

[tex]y-3=-5(x+2)[/tex]

[tex]y-3=-5x-10[/tex]

Add 3 on both sides.

[tex]y=-5x-10+3[/tex]

[tex]y=-5x-7[/tex]

Therefore, the equation of perpendicular bisector is [tex]y=-5x-7[/tex].

Answer:

$42

Step-by-step explanation:

Answer:

$42

Step-by-step explanation:

To find the sale price of the tennis racket, multiply the original price by 0.6:

70(0.6)

= 42

So, the sale price of the tennis racket is $42

Answer:

$57.44 per hour

Step-by-step explanation:

Given that :

Hours worked = 360 hours

Production = 132 batches of garment

Of the 152:

52 were flawed (sold at $90 each)

80 were sold at $200 each

Labor productivity ratio: (output value / input value (hours worked))

Output value = [(52*$90) + (80*$200)]

Output value = $20,680

Labor productivity ratio = $20,680 / 360 hours

Labor productivity ratio = $57.44 per hour

Answer: No, Shaun is incorrect because pi never ends and is infinite and doesnt repeat not because its irrational and is rational the product of a rational number and an irrational number is irrational.

Step-by-step explanation:

Theres not really and explanation of how to get this answer you just need to think about it and see what would make sense.

Answer:

Range: [-6, 8]

Step-by-step explanation:

Range is the set of y-values that are outputted by function f(x).

From the graph we see that our y-values span from -6 to 8. Since both are closed dot, they are included in the range:

[-6, 8] or -6 ≤ y ≤ 8

Answer:

The three medians intersect at a single point.

Step-by-step explanation:

PLATO MAKE BRAINLIEST PLZZ

Centroid is that point where median draw from the center of each side in a triangle meet.

The centroid is the centre point of the object. The point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians.

Let,

There is a triangle ΔABC

Mark midpoints on sides AB, BC and CA which lets P, Q and R respectively.

Join PC, RB and QA

The point where PC, RB and QA meets called centroid.

Hence, the point of intersection of three medians is Centroid.

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Answer:

x=35

Step-by-step explanation:

93=x+58

-58   -58

35=x

x=35

Simply subtract 58 on both sides so it crosses out, isolating x.

Also x would be 35 in case you need that.

Answer:

k=8.125

Step-by-step explanation:

just divide 13 by 1.6

(1) Compute the following sums:

(a) P150

i=1 2

(b) P50

n=1 n

(c) P60

n=10 n

(d) P25

n=1 3n2

(e) P55

i=1 (i + 2)

(f) P500

k=100 k

(g) P50

k=2 (k2 − 2k + 1)

(h) P20

m=10 m3

Solution: For the solutions to these, we will use the following results, which have been

established by Gauss’s formula, and the notation shown below for convenience:

S0(n) = Xn

i=1

1 = n S1(n) = Xn

i=1

i = n(n + 1)

2

S2(n) = Xn

i=1

i

2 = n(n + 1)(2n + 1)

6

S3(n) = Xn

i=1

i

3 =

n(n + 1)

2

2

(a) P150

i=1 2=2P150

i=1 1 = 2(150) = 300

(b) P50

n=1 n = (50)(50+1)

2 = 1275

(c) P60

n=10 n = P60

n=1 n − P9

n=1 n = (60)(61)

2 − (9)(10)

2 = 1785

(d) P25

n=1 3n2 = 3P25

n=1 = 3(25)(26)(51)

6 = 5525

(e) P55

i=1 (i + 2) = P55

i=1 i + P55

i=1 2 = (55)(56)

2 + 2(55) = 1650.

(f) P500

k=100 k = P500

k=1 k − P99

k=1 k = (500)(501)

2 − (99)(100)

2 = 120300

(g) P50

k=2 (k2 − 2k + 1) = P50

k=2 k2 − 2

P50

k=2 k + P50

k=2 1

= (P50

k=1 k2 − 1) − 2(P50

k=1 k − 1) + (P50

k=1 1 − 1)

= ( (50)(51)(101)

6 − 1) − 2( (50)(51)

2 − 1) + (1(55) − 1) = 40430

(h) P20

m=10 m3 = P20

m=1 m3 − P9

m=1 m3 = [ (20)(21)

2 ]

2 − [

(9)(10)

2 ]

2 = 46125

(2) A clock at London’s Heathrow airport chimes every half hour. At the beginning of the

n’th hour, the clock chimes n times. (For example, at 8:00 am the clock chimes 8 times,

at 2:00 pm the clock chimes fourteen times, and at midnight the clock chimes 24 times.)

The clock also chimes once at half-past every hour. Determine how many times in total

the clock chimes in one full day. Use sigma notation to write the form of the series before

finding its sum.

Solution: ¡¡ There is no solution for this problem. ¿¿

Answer:

36 seconds

Step-by-step explanation:

Answer:

Dnbsflvi jvidkdkeicucyccgdmjcjvh

Step-by-step explanation:

Answer:

2 1/2 per piece

Step-by-step explanation:

Answer:

A. 1.20x; individuals signing up the day of the activity get charged 20% more

Step-by-step explanation:

Amount charged before the day of activity = x

Amount charged on any individual who decides to sign up on the day of activity would be the normal price, x dollars, plus an additional price of 0.20x dollars.

0.20x = 20% of x.

That is, the additional fee added to the normal price is 20% of the normal price.

Therefore, amount paid on the day of the activity is x + 0.20x = 1.20x dollars.

What this fee means is that those who decide to sign up on the day of the activity are charged 20% more.

Answer:

ST=32

Step-by-step explanation:

We know the two sides are equal, so first solve for p.

9p-4=4p+16

9p-4p=16+4

5p=20

p=4

Now subsitute p back in for ST

9(4)-4=32

Answer:

7; = 135

1;= 135

2; = 45

3; = 135

Answer:

The probability that a particularly randomly chosen flight will not be on time is 1/3

Step-by-step explanation:

The number of flights available between New York and Los Angelis = 42 flights

The number of flights that are considered to be on time = 28 flights

The probability that a particularly randomly chosen flight will not be on time = 1 - The probability that the flight will be on time

The probability that the flight will be on time = (The number of flights considered to be on time)/(The total number of flights available)

The probability that the flight will be on time = 28/42 = 2/3

∴ The probability that a particularly randomly chosen flight will not be on time = 1 - 2/3 = 1/3

The probability that a particularly randomly chosen flight will not be on time = 1/3.

Answer:

commutative property

Step-by-step explanation:

Answer:

its commutative property and 5

Answer:4(3)/(5)

Step-by-step explanation:

Answer:

90 degrees

Step-by-step explanation:

trust

Answer:

14

Step-by-step explanation:

I hope this helps!

Answer:

14

Step-by-step explanation:

Step 1:

7/9 = q/18       Equation

Step 2:

9q = 126     Multiply

Step 3:

q = 126 ÷ 9       Divide

Answer:

q = 14

Hope This Helps :)

Answer:

-$14(2.5) & -$34.73

Step-by-step explanation:

Which estimate uses compatible numbers to estimate the problem?  

✔ -$14(2.5)

What is the exact answer?  

✔ -$34.73

Answer:

answer is above

Step-by-step explanation:

Answer:

The fourth one

Step-by-step explanation:

Three less then the quotient means you are subtracting 3 from a division problem. 1/2 the sum of a number and four means that there is going to be a variable and 4 in parenthesis that you will add before you multiply by 1/2.

Answer:

Cost =6(Cal)

Step-by-step explanation:

Calculators: 6$

Calculators: Cal

Cost=C

Cost =6(Cal)

Answer:

1=6

Step-by-step explanation:

Answer:

298.15

Step-by-step explanation:

Step-by-step explanation:

To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. This is the value of m in the equation. Next, find the coordinates of the y-intercept--this should be of the form (0, b). The  y- coordinate is the value of b in the equation.

pls give brainest i only have 2

The slope intercept form is given by y = mx + c

The graph of the linear equation y = mx + c is a line with m as slope, m and c as the y-intercept. This form of the linear equation is called the slope-intercept form, and the values of m and c are real numbers.

Given here: Slope intercept form

We know that, the equation of a line in point slope form, where (x1, y1) is the point and slope m is:

(y – y₁) = m(x – x₁)

Here, (x, y₁) = (0, c)

Substituting these values, we get;

y – c = m(x – 0)

y – c = mx

y = mx + c

Therefore, the point (x, y) on the line with slope m and y-intercept c lies on the line if and only if y = mx + c

Hence, The slope intercept form is given by y = mx + c

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Answer:

-12, 4

Step-by-step explanation:

7^-9 x 7^-3 = 7^-12

When you multiply exponents with the same base, you add them.

11^-4/11^-8 = 11^4

When you subtract exponents with the same base, you subtract the exponent in the numerator by the exponent in the denominator.

Answer:

-1

Step-by-step explanation:

divide both sides by 7 and you will get (n+4)=3

then subtract 4 on both sides and get n is equal to -1

Answer:

-1

Step-by-step explanation: