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3 years ago

Which fraction is in simplest form? A) 6/8 B) 7/12 C) 5/9 D) 3/51

Mathematics

2 answers:

andreyandreev [35.5K]3 years ago

4 0

I believe C. 5/9 is correct

exis [7]3 years ago

4 0

I think that both B) and C) are in simplest form. They can't be simplified any further.

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Write in slope-intercept form an equation of the line that passes through the points (−1,12) and (1,2).

zzz [600]

Answer:

$y=-5x+7$

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

the points (−1,12) and (1,2)

substitute

$m=\frac{2-12}{1+1}$

$m=\frac{-10}{2}$

$m=-5$

step 2

we know that

The equation of the line in slope intercept form is equl to

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$m=-5$

$point\ (1,2)$

substitute in the linear equation and solve for b

$2=-5(1)+b$

$b=2+5=7$

therefore

$y=-5x+7$

4 0

3 years ago

A researcher decides to split scores on an exam into quartiles. She determines that a score of 64 is at the 25th percentile, a s

allochka39001 [22]

Answer:

Answer : A

Step-by-step explanation:

The given data is 25 th percentile is 64, 50th percentile is 74 and 75 th percentile is 80.

percentage : 25 50 75

score : 64 74 80

Median:- The median is obtained by first arranging the data in ascending or descending order and applying the following rule.

If the number of observations is odd, then the median is observation

$(\frac{n+1}{2}) ^{th}$ term

If the number of observations is even, then the median is observation and observations.

$(\frac{n}{2}+1) ^{th}$

given n=3, middle term is '74'

In this given data the median is (M) = 74

Interquartile range IQR = median of upper half-median of lower half

= 80-64

= 16

IQR = 16

8 0

3 years ago

Point A is the midpoint of side XZ and point B is the midpoint of side YZ. Triangle X Y Z is cut by line segment A B. Point A is

AveGali [126]

Answer:

<h3>B. 4units</h3>

Step-by-step explanation:

Find the diagram attached. The diagram is a similar triangle.

From the diagram, XZ/XY = CA/AB

Given XZ = 2x-2+2x-2 = 4x-4

XY =5x-7

CA = 2x-2

AB= x+1

On substituting this parameters into the formula to get x first

4x-4/5x-7 = 2x-2/x+1

cross multiply

(4x-4)(x+1) = 5x-7(2x-2)

open the parenthesis

4x²+4x-4x-4 = 10x²-10x-14x+14

4x²-4 = 10x²-24x+14

10x²-4x²-24x+14+4 = 0

6x²-24x+18 = 0

x²-4x+3 = 0

x²-3x-x+3 = 0

x(x-3)-1(x-3) =0

(x-3)(x-1) = 0

x = 3 and 1

Next is to get length AX.

Given AX = 2x-2

Substitute x = 3 into the expression

AX = 2(3)-2

AX = 6-2

AX = 4 units

Hence the measure of length AX is 4 units

4 0

3 years ago

Please help |3r -6| =21

julsineya [31]

3r-6=-21

3r-6+6=-21+6 (Add 6 to both sides...)

3r=-15

r=-5

3r-6=21

3r-6+6=21+6 (Add 6 to both sides...)

3r=27

r=9

r=-5 or r=9

8 0

3 years ago

Read 2 more answers

Find direction numbers for the line of intersection of the planes x + y + z = 1 and x + z = 0. (enter your answers as a comma-se

Soloha48 [4]

<1, 1, 1> × <1, 0, 1> = <1, 0, -1>

The cross product of the normals of the planes gives the direction vector of their line of intersection.

7 0

3 years ago