Solve photo question, please. Mathematics.

Answers

Answer 1

Answer: Slope point form:
We need the slope "m" and a point (x₀,y₀)
y-y₀=m(x-x₀)

1)
we calculate the slope "m".
Given two points:
(x₁,y₁)
(x₂,y₂)
the slope "m" is:
m=(y₂-y₁) / (x₂-x₁)

In this case:
(4,10)
(6,11)
m=(11-10) / (6-4)=1/2

Now, we calculate the solpe point form.
(4,10)
m=1/2

y-y₀=m(x-x₀)
y-10=(1/2)(x-4)

we make the standard form
y-10=x/2 - 2

Lowest common multiple=2

2y-20=x-4
-x+2y=-4+20
-x+2y=16

Answer: -x+2y=16

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The two box-and-whisker plots below show the scores on a math exam for two classes. What do the interquartile ranges tell you about the two classes?

Answers

Answer:

A box-and-whisker plot shows the scores on a math exam for two classes.

Class A Class B

1) Minimum value 65 56

2) Lower quartile 66 79

3) Median 81 91

4) Upper quartile 89 94

5) Maximum value 95 100

First quartile also known as Lower quartile is the number below which lies the 25 percent of the bottom data.

Second quartile or Median divides the range in the middle and has 50 percent of the data below it.

Third quartile also known as upper quartile has 75 percent of the data below it and the top 25 percent of the data above it.

Interquartile Range = Upper quartile - Lower quartile,

For class A

Interquartile range = 89 -66 = 23

For class B

Interquartile range = 94 -79 = 15

The interquartile ranges tell you about the two classes that Class B has more consistent scores

A box-and-whisker plot shows 5 number summary:

Class A Class B
1) minimum value 65 56
2) 1st quartile 66 79
3) median 81 91
4) 3rd quartile 89 94
5) maximum value 95 100

Interquartile range = 3rd Quartile - 1st Quartile
Class A: 89 - 66 = 23
Class B: 94 - 79 = 15

IQR indicates the spread of the of the scores over the median. Class A has a spread that his more than 50% of the scores of Class B.

-x-4=9 ( find the x )

Answers

X=-13
Because 9 plus 4 is 13 but x can't be negative so you divide my negative 1 and get x=-13

You need to make x the subject. This means only x needs to be on one side of the equals sign.
-x-4=9
you need to keep x positive so +x on both sides (because it is the opposite of minus)
-4=9+x
minus the nine on both sides (because it is the opposite of adding)
-11=x
This is the answer.
-11=x

The end points of line segment AB are A(3,–12) and B(6,k).What is the value of k if the slope of line segment AB is –2?

Pls. show me how to do it

Answers

(x,y) (3,-12) (6,k) y=mx+b sloope=m y=-2x+b sub known point (x,y) (3,-12) x=3 y=-12 -12=-2(3)+b -12=-6+b -6=b y=-2x-6 (6,k) k=-2(6)-6 k=-12-6 k=-18 k=-18

the sum of two numbers is 9. if one number is subtracted from the other, the result is 3. find the numbers

Answers

x, y - the numbers

The sum of the two numbers is 9.
$x+y=9$

If one number is subtracted from the other, the result is 3.
$x-y=3$

Solve the system of equations:
$x+y=9 \n\underline{x-y=3} \nx+x=9+3 \n2x=12 \ \ \ |/ 2 \nx=6 \n \nx+y=9 \n6+y=9 \ \ \ |-6 \ny=3$

The numbers are 6 and 3.

Let's say x to the first number and y to the second one.
We add them : $x+y=9$
Then we substract them : $x-y=3$
Now we add the equations:

$(x+y)+(x-y)=9+3\n x+x+y-y=12\n 2x=12\n \n x=\frac { 12 }{ 2 } \n \n x=6$

and finally rewrite the equation:

$6+y=9\n y=9-6\n y=3\n \n x=6\quad and\quad y=3$

What times what equals 1720

Answers

the square root of 1720 is 41.47

The warehouse of the Alpha DistributionCompany measures 450 feet by 300 feet. If
65% of the floor space is covered, how many square feet are NOT covered?

Answers

Answer:

47,250 ft^2

Step-by-step explanation:

Area: 450 * 300 = 135,000 ft^2
65% of 135,000 =

135,000 * 0.65 = 87,750 ft^2 (space covered)
135,000 - 87,750 = 47,250

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