MATHEMATICS
MIDDLE SCHOOL

Use slope-intercept form, y = mx + b, to find the y-intercept (b) of the line.

b =

What is the new equation written in slope-intercept form, y = mx + b?

Answer:

The slope-intercept form, y = mx + b of the given line will be y = -2x + 2.

What are a line and its slope?A line section that can connect two places is referred to as a segment.

The slope of a line is tan of the angle from the positive x-axis.

In other words, the slope is just the intensity of inclination of any curve at a point for example x = sinx has 0 inclination at x = 0.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given that the points are (–3, 8) and (4, –6).

Slope m = difference in y coordinate/difference in x coordinate

m = (-6 - 8)/(4 +3 ) = -2

So our equation will be

y = -2x + n

Now for b put (4, –6) than

n = 2 so

The equation will be y = -2x +2 hence it will be the correct answer.

For more about line segment

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Answer:

Answer:

m=-2

b=2

Equation in Slope-Intercept Form: y= -2x+2

Step-by-step explanation:

HIGH SCHOOL

The yearbook club had a meeting. The meeting had 6 people, which is two-thirds of the club. How many people are in the club?

6 = x*2/3

x = 6*3/2 = 9 people

x = 6*3/2 = 9 people

The answer would be 9 because if you add one more 3rd to the number 6 that would be 3 so 3 * 3 = 9 there are 9 people in the book club

MIDDLE SCHOOL

Find the 6th term in the sequence 5, 20, 80

Answer:5120

Step-by-step explanation:

a=5 r=80÷20 r=4

Using the formula

Tn=a×r^(n-1)

Therefore 6th term=5×4^(6-1)

6th term=5×4^5

6th term=5×4×4×4×4×4

6th term=5120

Well the sequence is each number is multiplied by 4. 5*4=20. 20*4=80. 80*4=320. 320*4=1280. 1280*4=5120. The sixth term is 5120.

HIGH SCHOOL

a vertical pole 5 feet long cast a shadow of 2 feet. if at the same time a nearby tree casts a shadow of 10 feet, how tall is the tree?

The tree is 25 feet log becuase the shadow of the tree is 5 times bigger than the shadow of the pole so the tree should be 5 times bigger than the vertical pole which is 5 feet long.

HIGH SCHOOL

if a 6 ft tall man casts a 9 ft shadow, then how long is the shadow that a 10 ft tall adult elephant casts

We have 2 similar triangles here so the correcponding sides are in the same proportion.:-

6/10 = 9 / x

6x = 90

x = 15

The elephant casts a shadow 15 feet long/

MIDDLE SCHOOL

Write 9/12 in simplest form?

3/4 is the simplest form of 9/12

Divide 9 and 12 by a number that they are both divisible by.

9/3=3

12/3=4

Our answer is that 3/4 is our simplest form.

9/3=3

12/3=4

Our answer is that 3/4 is our simplest form.

MIDDLE SCHOOL

A display has 6 packs of marbles with a total mass of 629g. The packaging of each pack has a mass of 2/3 g and each marble has a mass of 4 1/2 g. Which equation can we use to determine m, the number of marbles per pack?

A 6*4 1/2 m+ 2/3=629

B 6 m(4 1/2+ 2/3)=629

C 6 m+4 1/2+ 2/3=629

D 6(4 1/2 m + 2/3)=629

PLZ HELP 25 POINTS

Answer:

Option D is the correct choice.

Step-by-step explanation:

Let m be the number of marbles per pack. Since we are told that total mass of each marble is , the mass of all marbles in one pack will be .

There are such 6 packs so mass of all marbles in 6 packs will be .

We are also given that mass of each packaging is g we can find mass of all 6 packaging as .

Now we will write an equation using this information.

We can see that option D matches with our answer, therefore option D is the correct choice.

Answer:

D

Step-by-step explanation:

answer was done on khan academy

MIDDLE SCHOOL

em saves at least 20% of what she earned for each week.is she earns $140 each week for 4 weeks wich inequality describes the total amount she saves

Percent means parts out of 100

20%=20/100=2/10=1/5

20% of what she earned earned per week

'of' means multiply

20% of what she earned per week means

1/5 times what she earned per week

140 per week earned

1/5 of per week=saved

1/5 of 140=1/5 times 140=140/5=28

she saved this for 4 weeks

at least 28 saved per week for 4 weeks=28 times 4=102

she saved at least102 total

saved>$102

20%=20/100=2/10=1/5

20% of what she earned earned per week

'of' means multiply

20% of what she earned per week means

1/5 times what she earned per week

140 per week earned

1/5 of per week=saved

1/5 of 140=1/5 times 140=140/5=28

she saved this for 4 weeks

at least 28 saved per week for 4 weeks=28 times 4=102

she saved at least102 total

saved>$102

First, what you would do is multiply 140 and 20%. Which would give you: 28

Then you would multiply 28 by 4 and get 112

Hope this helps!!(:

HIGH SCHOOL

An isosceles triangle has an area of 254 km², and the angle between the two equal sides is 53°. Find the length of the two equal sides length of equal sides

Area of a triangle = 1/2 ab sinC

In this equation the angle C is between the two adjacent sides ab

Since the lengths are equal we can call them both X

Hence 254= 1/2 (x)(x) sin53

By simplifying 508 = (x^2) sin53

So therefore x is the square root of 508 divided by sin53 which means the length of the sides is 35.8km to 3 significant figures

In this equation the angle C is between the two adjacent sides ab

Since the lengths are equal we can call them both X

Hence 254= 1/2 (x)(x) sin53

By simplifying 508 = (x^2) sin53

So therefore x is the square root of 508 divided by sin53 which means the length of the sides is 35.8km to 3 significant figures

HIGH SCHOOL

Which of the following measures of spread are based on the mean? Check all that apply.

A.Variance B.Standard deviation C.Interquartile range D.Range

B standard deviation

Answer:

A. Variance and B. Standard Deviation

Step-by-step explanation: