Write a simplified expression, in terms of y, for both area and perimeter of the triangle below

Write A Simplified Expression, In Terms Of Y, For Both Area And Perimeter Of The Triangle Below

Answers

Answer 1

Answer:

Area: [tex]27y^{3} -24y^{2}[/tex]

Perimeter: [tex]6y^{2} +7y+5[/tex]

Step-by-step explanation:

Area:

[tex]\frac{1}{2}[/tex] x base x height

[tex]6y^{2} (\frac{1}{2} )(9y-8)\\3y^{2} (9y-8)\\27y^{3} -24y^{2}[/tex]

Perimeter:

[tex]6y^{2} +4y+(3y+5)\\6y^{2} +7y+5[/tex]


Related Questions

Can someone plz solve the math problem i attached as a screenshot. Thx

Answers

Answer:

[tex]radius \: of \: first \: circle \: = \frac{3}{2} = 1.5cm \\ radius \: of \: \: second = \frac{4}{2} = 2cm \\ radius \: of \: third = \frac{6}{2} = 3cm \\ then \: ab \: length \\ = radius \: of \: first + diameter \: of \: second \: +r adius \: of \: third \\ = 1.5 + 4 + 3 \\ = 1.5 + 7 \\ = 8.5 cm\\ thank \: you[/tex]

Solve the system of equations.
y=3x + 24
y=9x

Answers

Answer:

x = 4

y = 36

Step-by-step explanation:

use substitution

y=3x+24

y=9x

therefore . 9x=3x+24

x = 4

sub 4 in for x and solve for y

y = 9(4) = 36

Madison lives between Anoa and Jamie as depicted on the line segment. The distance between Anoa's house and Madison's house is represented by 3x+2 miles, the distance between Madison's house and Jamie's house is represented by 3x+4 miles, and the distance between Anoa's house and Jamies house is represnted by 9x-3 miles. Find the value of x. Then find the distance between Madison's house and Jamie's house.

Answers

Answer:

x = 3

13 miles between Madison and Jamie's house.

Step-by-step explanation:

If we add the distance between Anoa's and Madison's house with the distance between Jamie's and Madison's house, then we get the total distance between Anoa's and Jamie's house.

(3x + 2) + (3x + 4) = 9x - 3

Let's add up the terms first

3x + 2 + 3x + 4 = 9x - 3

6x + 6 = 9x - 3

Let's move the variables to the right side by subtract 6x from both sides

6x + 6 = 9x - 3

-6x         -6x

6 = 3x - 3

Add 3 to both sides

6 = 3x - 3

+3        +3

9 = 3x

Isolate the variable, x, by dividing both sides by the coefficient, 3.

9/3 = 3x/3

x = 3

Now we need to find the distance between Madison's and Jamie's house.

3x + 4

Plug in 3 in place of the x

3(3) + 4

9 + 4 = 13

Answer:

Step-by-step explanation:

If we add the distance between Anoa's and Madison's house with the distance between Jamie's and Madison's house,then we get the total distance between anoa's and Jamie's house.

1.2 hours in hours and minutes​

Answers

Answer:

1 hour 12 minutes

Step-by-step explanation:

1.2 × 60 = 72 minutes

72-60 = 12 minutes

for the food described, find what percent of total calories is from fat. if necessary round to the nearest tenth of a percent
*calories: 120
* calories from fat: 45

Answers

Answer:

37.5%
Explanation:

0.375

The percentage of 45 out of 120 is 38%  thus 38% calories from fat.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

Given that,

Total calories = 120

Calories from fat = 45

Fraction of calories from fat = 45/120 = 0.38

Percentage of calories from fat out of total calories ⇒

(45/120) × 100 = 38%

Hence "The percentage of 45 out of 120 is 38%  thus 38% calories from fat".

For more about the percentage,

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#SPJ5

You give up a full-time salary of $52,000 a year to go to school for 2 years. The total cost of going to school is $36,000. If you want to be able to recover your investment in 4 years or less, what is the minimum salary you would need to earn upon earning your degree?

Answers

Answer:

$9000

Step-by-step explanation:

36000:4=$9000

x^2+6x+5-4y-y^2 factorize




Answers

Answer:

(x+y+5)(x-y+1)

Step-by-step explanation:

factor by grouping

x^2+6x+5-4y-y^2

x^2+6x+9 - (y^2+4t+4) + 5-9+4

(x+3)^2 - (y+2)^2

(x+3+(y+2))(x+3-(y+2))

(x+y+5)(x-y+1)

in a certain country, 40% of registered voters are reublicans, 45% are democrats, and 15% are indepdents. what is the probability that a randomly selected voter opposes the bill

Answers

15 percent is correct

From the set {2, 6, 42}, use substitution to determine which value of x makes the equation true.

6(x + 40) = 252

Answers

Answer: 2
Explanation:
If you plug in 6(2+40)= 252
Using PEMDAS, solve in the parentheses first! which will be 42.
6(42)=252
6 x 42 = 252
making x=2 because plugging in x makes this equation true
252= 252

pls help me , i need it done

Answers

Answer:0.50

Step-by-step explanation:

Range= Highest number - lowest number

=1.50 -1.00= 0.50

Nine times the difference of a number and 4 is the same as the product of 2 and the same
number plus 10. What is the number?

Answers

Answer:

x = 8

Step-by-step explanation:

9(x - 4) = 2(x + 10)

9x - 36 = 2x + 20

7x = 56

x = 8

Please mark as brainliest :)

Find the measure of one interior angle of a regular 16-gon.

Answers

Answer:

157.5

Step-by-step explanation:

14×180/16

= 315/2

= 157.5

Answer:

Step-by-step explanation:

16 sides  

n-2=14

14x 180 = 2250

2250/16 =157.5 = 158

Which function below has the following domain and range?

Answers

Answer:

The first choice.

Step-by-step explanation:

Domain = x value (first value in a coordinate pair: (x,y))

Range = y value

A function cannot have a repeating Domain value.

This eliminates the last option since -4 is used twice.

The second option has 11 as a y value but it is not in the range.

The third option has 10 as an x value but it is not in the domain.

Explain how you would go about factoring the following?

3x^2 +17x-28

Answers

Answer:

[tex](x + 7) \times (3x - 4)[/tex]

Step-by-step explanation:

[tex] {3}^{2} + 17x - 28[/tex]

[tex]3 {x}^{2} + 21x - 4x - 28[/tex]

[tex]3 \times x(x + 7) - 4x - 28[/tex]

[tex]3x \times ( x + 7) - 4(x + 7)[/tex]

[tex](x + 7) \times (3x - 4)[/tex]

what??? I need help urgent :( i didn’t focus in math

Answers

Answer: g(x) = (x+1)-3

Step-by-step explanation: Assuming you are moving from expression f to expression g, the plus one in the equation moves the vertex to the right one. subtracting three outside of the parenthesis moves the vertex down three, giving you a vertex of (1,-3). hope this helps!

Two less than the product of 3 and a number is equal to 6

Answers

Answer:

8/3

Step-by-step explanation:

Let x represent the number.

Create an equation to represent the situation, and solve for x:

3x - 2 = 6

3x = 8

x = 8/3

So, the number is 8/3.

6(a+2b+3c)=6, left parenthesis, a, plus, 2, b, plus, 3, c, right parenthesis, equals

Answers

Ok so it would be 13

6 4/5 + 3 2/3
add and simplify ​

Answers

Answer:

10 3/5

Step-by-step explanation:

6 4/5 + 3 4/5

First convert to improper fraction,

34/5 + 19/5

Then add the improper fractions,

=>53/5

Then convert improper fraction to mixed fraction,

=> 53/5 = 10 3/5

solve
pls need help
pls answer now

Answers

k/3 + 4 - 5k = -2k / · 3

k + 12 - 15k = -6k

k - 15k + 6k = -12

-8k = -12 / : (-8)

k = 12/8

k = 3/2 ← the end answer

Answer: A)

I also need an explanation please

Answers

(A)

Step-by-step explanation:

The meal cost $45.25 so 20% of this for tip is

($45.25)(0.20) = $9.05. Since the tip is split between 4 friends, divide this tip by 4 and each one paid ($9.05/4) = $2.26.

Evaluate the expression for the given values of the variables. x2 + 4(x − y) ÷ z2, for x = 8, y = 5, and z = 2

Answers

(8)(2)+4(8)(-5)(2)(2)

The answer is -624

Help me pleaseeee help help

Answers

Answer:

Step-by-step explanation:

PLS HELP! WILL GIVE BRAINLIEST

Answers

Answer:

csc x sec x

Step-by-step explanation:

csc = 1/sin

1/sin^2    /  cos/sin    =   1 / sin^2    *  sin/cos       =   1 / sin cos  = csc sec

Can anyone help with this please

Answers

Answer:

None

Step-by-step explanation:

Simply, the absence of s^-1 shows the answer as none

(15-12)2-2+5=

20+23×3-1=

[4(3+2)-4]+42

Answers

Answer:

Here is your answer . Hope this is helpful to you.

James had a peach that was 98 \text{ mm}98 mm98, start text, space, m, m, end text in diameter. One day he watered it with a magical solution, and it grew to 188{,}869 \text{ mm}188,869 mm188, comma, 869, start text, space, m, m, end text in diameter.
Approximately how many times as large did the diameter of the peach become after James watered it?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
2 \cdot10^32⋅10
3
2, dot, 10, cubed

(Choice B)
B
9 \cdot10^39⋅10
3
9, dot, 10, cubed

(Choice C)
C
2 \cdot10^42⋅10
4
2, dot, 10, start superscript, 4, end superscript

(Choice D)
D
9 \cdot10^49⋅10
4
9, dot, 10, start superscript, 4, end superscript

Answers

9514 1404 393

Answer:

  A.  2×10³

Step-by-step explanation:

The ratio of diameters is ...

  (189,869 mm)/(98 mm) ≈ 1927.3 ≈ 2000 = 2×10³

The diameter of the peach became about 2×10³ times as large.

how to find the sum of 12 and 36 using the gcf and distributive property

Answers

I don’t really know ask Siri

(2x + 5) + (x + 4) =

Answers

Answer:

3x + 9

Step-by-step explanation:

(2x + 5) + (x + 4)

Distribute the + to all numbers/variables

2x + 5 + x + 4

Combine like terms:

2x + 5 + x + 4

3x + 5 + 4

3x + 9

Hope this helped.

Model the situation.

The sum of two consecutive integers is 85. Find the integers that satisfy this condition.
Answer choices

A) 1 + 2 = 85

B) x+(x+1)=85

C) x+x=85

D) x+2x=85

Answers

Answer:

Option B is correct

Step-by-step explanation:

Let the number be x

Second number = x + 1

Sum = 85

x + x + 1 = 85

2x + 1 = 85

2x = 85 - 1

2x = 84

x = 84/2 = 42

Numbers are 42 and 43

Answer:

B) x+(x+1)=85

Step-by-step explanation:

Consecutive means in a row

Let x be the first integer

x+1 is the next integer

x+x+1 = 85

Indicate which is the largest decimal in each of the following pairs.
0.0006 and 0.006

Answers

Answer:

0.006 is the larger decimal

Answer:

0.006 is the right answer

Step-by-step explanation:

Since (0.006) has the least amount of zeros after the decimal, it would be larger than the other decimal that has more zeros after the decimal.

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