All categories

2 years ago

Really need help, I’m trying to catch up in my math and get my marks back up before mid term..

Mathematics

2 answers:

Luba_88 [7]2 years ago

6 0

Answer:

a) 12x + 22 b) 17 $x^{2}$ - x

Step-by-step explanation:

Perimeter is the sum of the each side length.

The first example is a rectangle so the (4x+8) and the (2x+3) are doubled.

(4x+8) x 2 = 8x+16

(2x+3) x 2 = 4x + 6

12x+22

(6 $x^{2}$ - 12x) + (2 $x^{2}$ + x) + (9 $x^{2}$ + 10x)

combine like-terms.

17 $x^{2}$ - x

tensa zangetsu [6.8K]2 years ago

5 0

Answer:

12x + 22 for the rectangle, 17x^2 - x for the triangle

Step-by-step explanation:

The perimeter of a square/rectangle is equal to 2*width + 2*length

So for the rectangle, it would be 2*(4x + 8) + 2*(2x + 3)

This can be further simplified as 8x + 16 + 4x + 6

Which can be further simplified as 12x + 22

The perimeter of a triangle is equal to length if side one + length of side two + length of base

That would be (6x^2 - 12x) + (2x^2 + x) + (9x^2 + 10x)

Which becomes 8x^2 - 11x + (9x^2 + 10x)

17x^2 - x

You might be interested in

Find the value of x and y from ordered pair. （x+y,2x-y）=（13,2）

Katarina [22]

Answer:

x=5, y=8

Step-by-step explanation:

x+y=13

2x-y=2

add these two equations

3x=15

therefore x=5

apply this value in x+y=13

5+y=13

then y=13-5 = 8

8 0

2 years ago

Read 2 more answers

Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ

Nata [24]

Answer: $5x-3y=44$

Step-by-step explanation:

We know that , the equation of a line that passes through (a,b) and (c,d) is given by :_

$(y-b)=\dfrac{d-b}{c-a}(x-a)$

Standard form of equation of line = $Ax+By=C$

Given points = (7, -3) and (4, -8)

Then, the equation of a line that passes through the points . (7, -3) and (4, -8) is given by -

$(y-(-3))=\dfrac{-8-(-3)}{4-7}(x-7)$

$(y+3)=\dfrac{-8+3}{-3}(x-7)$ [∵ (-)(-)=(+)]

$(y+3)=\dfrac{-5}{-3}(x-7)$

$(y+3)=\dfrac{5}{3}(x-7)$

$3(y+3)=5(x-7)$

$3y+9=5x-35$

$9+35=5x-3y$

$44=5x-3y$

Or $5x-3y=44$

Hence, the required equation :- $5x-3y=44$

4 0

3 years ago

sam's music teacher told him to practice his trombone for X amount of hours. he spent X amount of hours practicing did he practi

Crank

Yes if he practices X amount of hours and is told to practice X amount of hours than he practiced long enough

4 0

3 years ago

Rename 1/5 and 9/10 using the least common denominator

skad [1K]

Answer:

2/10

Step-by-step explanation:

you have to match the bottom number on both fractions then do what ever you did to the top number

so with this to get the 5 to a 10 you have to times it by 2

so you do the same to the 1

3 0

3 years ago

1 2 3 4 5 6 7 8 9 10 11 12 13

Rina8888 [55]

Answer:

The mean will increase more than the median, but both will increase.

[third option listed]

Step-by-step explanation:

the median of a data set is the number in the middle [when listed from lowest to highest in value]

1 2 3 4 5 6 7 8 9 10 11 12 13

is the current median

let's consider what adding 12 would mean--it would mean that we move the median slightly higher [further along in the data set] because there are more numbers (but let's try this out to confirm:)

1 2 3 4 5 6 7 8 9 10 11 12 12 13

[if a median placement is shared between two numbers, the mean/average of those two numbers is taken, and that is considered to be the median]

so, 7.5 is the current median

(this is an increase of 0.5)

the mean of a data set is what we commonly refer to as the "average"

[you find this value by adding all of the numbers in the data set together and dividing by the number of terms in the data set]

1 2 3 4 5 6 7 8 9 10 11 12 13

mean of original data set:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 [= 91]

_______________________________________

[91 ÷ 13 = 7]

because our number is greater than our original mean [12 > 7], we know that the mean must increase:

[91 + 12 = 103]

[103 ÷ 14 ≈ 9.36]

[we had an increase of 2.36]

so, median increased by 0.5, mean increased by 2.36

so, both values increased, whilst the mean increased by more than the median [as to be expected]

you could also express this as "The mean will increase more than the median, but both will increase." [third option listed]

hope this helps!! :)

3 0

2 years ago