1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zysi [14]
3 years ago
8

Can someone help me with these questions and show work please and thank you

Mathematics
1 answer:
attashe74 [19]3 years ago
6 0

Answer:

11. 78

12. 4x² - 3x - 1

Step-by-step explanation:

11. Sum of n whole numbers = ½(n² + n)

Multiply

½*n² + ½*n

= n²/2 + n/2

To find the sum of the first 12 whole number, substitute 12 for n into the equation.

= 12²/2 + 12/2

= 144/2 + 12/2

= 72 + 6

= 78

12. Area of trapezoid = ½(a + b)*h

Where,

a = 5x - 4

b = 3x + 2

h = x + 1

Area = ½(5x - 4 + 3x + 2)*(x + 1)

Area = ½(8x - 2)*(x + 1)

Area = ½[8x(x + 1) -2(x + 1)]

= ½[8x² + 8x - 2x - 2]

Add like terms

= ½(8x² - 6x - 2)

= ½(8x²) - ½(6x) - ½(2)

= 4x² - 3x - 1

You might be interested in
Help out please thank you
Helga [31]

Answer:

x = 26

Step-by-step explanation:

The three angles form a straight line, so they will sum to 180

4x - 8  + 34  + 76- x = 180

Combine like terms

3x+ 102 = 180

Subtract 102 from each side

3x+102-102 = 180-102

3x= 78

Divide each side by 3

3x/3 = 78/3

x = 26

3 0
3 years ago
PLEASE HELP! I’m struggling with each part any help will be amazing
Vlad [161]

Answer:

<u>slope:</u> -5/2

<u>y-intercept</u>: (0, 2)

<u>Linear function</u>: y = -5/2x + 2

Step-by-step explanation:

Given points (-2, 7) and (2, -3):

Use these points to solve for the slope of the line using the formula:

m = (y2 - y1)/(x2 - x1)

Let  (x1, y1) =  (-2, 7)

      (x2, y2) =  (2, -3)

Substitute these values into the equation:

m = (y2 - y1)/(x2 - x1)

m = (-3 - 7) / [2 - (-2)]

m = -10/ (2 + 2)

m = -10/4 = -5/2

Therefore, the  slope of the line in reduced form is m = -5/2.

The y-intercept is the <u>y-coordinate</u> of the point (0, <em>b</em>) where the graph of the linear equation crosses the y-axis of the Cartesian grid. The y-intercept is also the value of y when x = 0.

To solve for the y-intercept, use one of the given points (2, -3) and the slope (m = -5/2), and substitute their values into the slope-intercept form:

y = mx + b

-3 = -5/2(2) + b

-3 = -5 + b

Add 5 to both sides to solve for the y-intercept, b:

-3 + 5 = -5 + 5 + b

2 = b

Given the value of b = 2, it means that the y-intercept is (0, 2).

Therefore, given the slope of -5/2, and the y-intercept, b = 2:

The linear equation in slope-intercept form is: y = -5/2x + 2

Please mark my answers as the Brainliest, if you find this helpful :)

5 0
2 years ago
Steve had 48 chocolates but decided to give 8 chocolates to each of his coworkers,
Lunna [17]

Answer:

48 - 8c

Step-by-step explanation:

let c be the number of coworkers

48 - 8c would be the expression because it starts with 48 and for every coworker 8 is subtracted.

5 0
3 years ago
Read 2 more answers
Who is correct? Thanks for the help
Aleksandr-060686 [28]
I believe Hector is correct

Explanation: for every 1 hour the income is $10, therefore working 32 hours will give you $320 as Hector stated, while working 18 hours will not give you $160 as Hannah stated, it will give you $180
4 0
2 years ago
What is the answer for this question?
Savatey [412]

Answer:

A

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • Tyron and Penelope both bought 4-wheelers. Tyron paid $199 up front,
    8·2 answers
  • candice buy a board that is 12 feet long. the store incorrectly masures and prices the board at 13.2 feet. what is the percentag
    7·1 answer
  • How many ways can teacher arrange 4 students in front row of class with 30 students
    7·2 answers
  • Lydia had 20 minutes to do a three-problem quiz. She spent 9 7/10
    7·1 answer
  • A hotel had a number of meeting rooms, m, available for events. Each meeting room has 325 chairs.
    11·2 answers
  • Richard had his car repaired at a body shop.
    13·1 answer
  • Calculate the area of the given circle.
    8·1 answer
  • 6 trigonometric ratio
    10·1 answer
  • Can some one helo me ASAP
    6·2 answers
  • What is the answer to this question out of the options given
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!