MATHEMATICS HIGH SCHOOL

Which equation is the rule for the pattern in the table?
Which equation is the rule for the pattern in the - 1

Answers

Answer 1
Answer:

Answer:

b

Step-by-step explanation:
Answer 2
Answer:

Answer:

the answer is b

Step-by-step explanation:

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Answer this for 15 points and Brainliest

Answers

Answer:

y=3x+18

Step-by-step explanation:

Since slope-intercept form is y=mx+b, we first need to find the slope.

m=y2-y1/x2-x1

m=0-(-9)/-6-(-9)

m=9/3=3

Next we need to find b, or the y-intercept

to do that we plug in numbers to what we already have.

y=3x+b

0=-18+b

b=18

Now we put it all together.

y=3x+18

On a vertical line segment, point A is located at 50. Point B is located at 104. Point P is a point that divides segment AB in a ratio of 1:5 from A to B. Where is point P located?

Answers

Answer:

Step-by-step explanation:

Let the initial point on the line segment be O. If point A is located at 50 and point B is located at 104, then OA = 50 and OB = 104. Using the vector notation;

AO+OB = AB

(-OA)+OB = AB

-50+104 = AB

AB = 54

If point P divides the segment AB in a ratio 1:5, them AP:PB = 1:5

AP = 54/6

AP = 9

PB = 54-9

PB = 45

Hence the point P is located at 9 units from A and 45 units from B

This one to its alot

Answers

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Last year, sales at a book store increased from $5,000 to $10,000. This year, sales decreased to $5,000 from $10,000. What percentage did sales increase last year? What percentage did sales decrease this year?

Answers

Solution:

we are given that

Last year, sales at a book store increased from $5,000 to $10,000.

As we know that percentage increase is given by the formula

Percentage increase=(change)/(Initial)*100

Substitute the values we get

Percentage increase=(10000-5000)/(5000)*100

Percentage increase =(5000)/(5000)*100=100%.

This year, sales decreased to $5,000 from $10,000.

Percentage Decrease =(change)/(Initial)*100

Substitute the values we get

Percentage Decrease =(10000-5000)/(10000)*100

Percentage Decrease=(5000)/(10000)*100=50%.

Answer:

100%, 50%

Step-by-step explanation:

HelpI have a math assignment for you. The property we live on is odd shaped & I'm trying to confirm the properties square footage. I have two different figures. So your assignment, if you wish to do so,(that's from mission impossible) is to determine the square footage of the property.Dimensions are as follows:
East side (Highbury St side) 133.78 ft.
North side (neighbour) 120.00 ft.
South side (laneway) 136.6 ft.
West side 66.1 ft.

Help Please

Answers

(NOTE: I hope this is not for legal reasons. if if it is, then don't quote me on this)




if there are 2 right angles (as said in comments, then you can divide the shape into a rectangle and a triangle as sseen in the attachment (not to scale)
we can do this since there are 2 right angles in the places mentioned in the comments (NE and NW
then find the areas of each
(the right angles. are in yellow ink)
area of rectangle=legntht times widht
legnth=120
width=66.1
area=120 times 66.1=7932


find the area of the triangle so we see that we can find the height of the triangle by subtracting 66.1 from 133.78 to find the triangle's height
height=67.68
legnth is the same
area of triangle=1/2 times base times height
base=legnth=120
height=67.68
area=1/2 times 120 times 67.68=4060.8
now add the areas together


rectangle=7932 ft^2 or square feet
triangle=4060.8 ft^2

rectangle+triangle=whole=7932+4060.8=11992.8 ft^2

answer is 11,992.8 ft^2 or 11,992.8 square feet

What is the simplified form of the quantity of x plus 5, all over the quantity of 3x plus 4 + the quantity of x plus 4, all over the quantity of x plus 3?

Answers

Answer: (4x^2+24x+31)/(3x^2+13x+12)

Step-by-step explanation:

Since the given expression ,

(x+5)/(3x+4) + (x+4)/(x+3)

=((x+5)(x+3)+(x+4)(3x+4))/((3x+4)(x+3)) ( by taking the LCM for solving the fraction)

=(x^2+5x+3x+15+3x^2+12x+4x+16)/(3x^2+9x+4x+12) ( By multiplying)

=(x^2+8x+15+3x^2+16x+16)/(3x^2+13x+12)

=(4x^2+24x+31)/(3x^2+13x+12) ( by adding the like terms)
(x + 5)/(3x + 4) + (x + 4)/(x + 3) = ((x + 5)(x + 3))/((3x + 4)(x + 3)) + ((x + 4)(3x + 4))/((3x + 4)(x + 3)) = (x(x + 3) + 5(x + 3))/((3x(x + 3) + 4(x + 3)) + (x(3x + 4) + 4(3x + 4))/(3x(x + 3) + 4(x + 3)) = (x(x) + x(3) + 5(x) + 5(3))/(3x(x) + 3x(3) + 4(x) + 4(3)) + (x(3x) + x(4) + 4(3x) + 4(4))/(3x(x) + 3x(3) + 4(x) + 4(3)) = (x^(2) + 3x + 5x + 15)/(3x^(2) + 9x + 4x + 12) + (3x^(2) + 4x + 12x + 16)/(3x^(2) + 9x + 4x + 12) = (x^(2) + 8x + 15)/(3x^(2) + 13x + 12) + (3x^(2) + 16x + 16)/(3x^(2) + 13x + 12) = ((x^(2) + 8x + 15) + (3x^(2) + 16x + 16))/(3x^(2) + 13x + 12) = ((x^(2) + 3x^(2)) + (8x + 16x) + (15 + 16))/(3x^(2) + 13x + 12) = (4x^(2) + 24x + 31)/(3x^(2) + 13x + 12)
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