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
Wittaler [7]
3 years ago
14

Need help on algebra hw question.

Mathematics
1 answer:
lyudmila [28]3 years ago
5 0
<h3>Answer:  C) 5</h3>

==========================================================

Work Shown:

s = square side length

A = area of square = 9x^2+12x+4

A = s^2

A = (ax+b)^2

A = a^2*x^2 + 2abx + b^2 .... apply the FOIL rule

A = 9x^2 + 12x + 4

Equating corresponding terms, we see that,

  • a^2*x^2 = 9x^2 which shows that a^2 = 9 and that solves to a = 3, assuming 'a' is positive.
  • 2abx = 12x leads to 2ab = 12 or ab = 6. Using a = 3 we can find that b = 2.
  • b^2 = 4 solves to b = 2 which matches with the previous value of b found.

Using a = 3 and b = 2, the sum of the values is a+b = 3+2 = 5, so that's why the answer is choice C.

Side note: 9x^2 + 12x + 4 factors to (3x + 2)^2

You might be interested in
Rewrite the following linear equation in slope-intercept form. y+4=-2(x-1)
romanna [79]

Answer:

y = -2x - 1

Step-by-step explanation:

Rewrite y + 7 = -2(x - 3) in slope-intercept form (which is y = mx + b):

First, perform the indicated multiplication:

y + 7 = -2x + 6

Combining the constants, we get

y = -2x - 1

This is the desired equation in slope-intercept form.  slope is -2 and y-intercept is -1.

5 0
3 years ago
Which expression represents the area of the figure?
lys-0071 [83]

Answer:

The solution is 8x2 + 16x + 8. The region can be divided into a triangle and a rectangle.

Area of Triangle=  

1

2

(2x + 2)(2x)

Area of Triangle = 2x2 + 2x

Area of Rectangle: (2x + 2)(3x + 4)

Area of Rectangle: 6x2 + 14x + 8

Sum of Two Regions: 8x2 + 16x + 8

Step-by-step explanation:

4 0
3 years ago
Help solving this Math problem
Paha777 [63]

1. Formula for volume of a cone is: V = PI * r * h/3

Volume = PI * 1 * 5/3 = 5.24 cubic inches.

2.  Formula for volume of a sphere is: V = 4/3 * PI * r^3

Volume = 4/3 * PI * 1^3 = 4.19 cubic inches.

3 0
3 years ago
Read 2 more answers
$7.50 admission; 20% off
kirill [66]
If you were getting 20% off of a £7.50 admission the new price would be £5.
This is due to the fact that 10% is 0.75
You can get 10% by dividing the number by 10.
10% doubled to get 20% is £1.50
7.50 minus the 20% off, 1.50, would be £5.


5 0
4 years ago
A carpenter is framing a wall that is 8 feet high and 15 feet long. If the carpenter wants to be sure that the sides of the wall
Ad libitum [116K]

If you cut the rectangle (the wall) diagonally, you get two congruent triangles. The measurements of the sides of one the triangles is 8, 15 and x. There is a pythagorean triples 8, 15, 17 so x has to be 17. if you dont know the triple you can do a^2 + b^2 = c^2         8^2 + 15^2 = c^2     c = 17

the diagonal of wall should be 17

8 0
4 years ago
Read 2 more answers
Other questions:
  • 85 is five times a number
    7·2 answers
  • Which pair of angles is complementary?
    13·1 answer
  • A sailboat travels a distance of 2 1/2 miles in 1/6 of an hour. Which complex fraction represents the unit rate in miles per hou
    11·2 answers
  • without Computing decide whether the value of each expression is much smaller than 1 close to 1 or much larger than 1 : 1,000,00
    8·1 answer
  • What is the constant in the expression?
    14·2 answers
  • Find the missing side of the triangle.​
    8·2 answers
  • Write this inequality based on the information given: Five is greater than seven more than five times a number (Use x as your va
    6·1 answer
  • Round 95.9153055893 to the nearest tenth
    10·1 answer
  • annie adds 2 spoonfuls of sugar to her tea and sophie adds 3 spoonfuls to her tea. If one spoonful is 4 grams of sugar and a a c
    12·1 answer
  • Which expression is equivalent to 2a^2b^11/5c^5
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!