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
pickupchik [31]
2 years ago
6

Factor using the trinomial 10. X2 + 13x + 12

Mathematics
1 answer:
Rudik [331]2 years ago
8 0

Answer:

Factoring the trinomial: x^2+13x+12 we get the factors \mathbf{(x+1)(x+12)}

Step-by-step explanation:

We need to factor the trinomial: x^2+13x+12

We can factor the trinomial by breaking the middle term i.e 13x

Such that adding or subtracting gets the both terms we get 13x and multiplying both terms we get 12x^2

We can break 13x as: 12x and x

Adding them we get 13x and multiplying them we get 12x^2

So,

x^2+13x+12\\=x^2+12x+x+12\\=x(x+12)+1(x+12)\\=(x+1)(x+12)

So, Factoring the trinomial: x^2+13x+12 we get the factors \mathbf{(x+1)(x+12)}

You might be interested in
Write the following equation in the general form
shtirl [24]
<h2>Explanation:</h2>

As I understand, the given equation is:

5 y = x-1

So we need to write this into general form. The general form of the equation of a line is given by:

Ax + By + C = 0

Where A and B can't be zero at the same time. So subtracting 5y from both sides:

5y-5y = x-1-5y \\ \\ 0=x-1-5y \\ \\ \\ Arranging: \\ \\ \boxed{x-5y-1=0} \\ \\ \\ So: \\ \\ A=1 \\ \\ B=-5 \\ \\ C=-1

6 0
3 years ago
which values of x and y are solutions to the open sentence? 4y ≥ 3x 2 a. x = 3, y = 0 b. x = 4, y = 3 c. x = 6, y = 5 d. x = 7,
boyakko [2]
4y ≥ 3x + 2

Plugging in the values in the options, then the required values are when x = 6 and y = 5, then
4(5) ≥ 3(6) + 2
20 ≥ 18 + 2
20 ≥ 20
8 0
3 years ago
The transformation of 'f' is represented by 'g'. Write a rule for g. f(x)=\root(3)(x). Then show your check steps.
podryga [215]

Answer:

g(x)=-2\sqrt[3]x

or

g(x) = -2f(x)

Step-by-step explanation:

Given

f(x) = \sqrt[3]x

Required

Write a rule for g(x)

See attachment for grid

From the attachment, we have:

(x_1,y_1) = (-1,2)

(x_2,y_2) = (1,-2)

We can represent g(x) as:

g(x) = n * f(x)

So, we have:

g(x) = n * \sqrt[3]x

For:

(x_1,y_1) = (-1,2)

2 = n * \sqrt[3]{-1}

This gives:

2 = n * -1

Solve for n

n = \frac{2}{-1}

n = -2

To confirm this value of n, we make use of:

(x_2,y_2) = (1,-2)

So, we have:

-2 = n * \sqrt[3]1

This gives:

-2 = n * 1

Solve for n

n = \frac{-2}{1}

n = -2

Hence:

g(x) = n * \sqrt[3]x

g(x)=-2\sqrt[3]x

or:

g(x) = -2f(x)

4 0
3 years ago
The angle of elevation to a nearby tree from a point on the ground is measured to be
slega [8]

Answer:

186.6

Step-by-step explanation:

Based on the given conditions, formulate: 91 ×tan 64°

Calculate the approximate value: 91×2.050304

= 186.577664

Round the number: 186.6

186.6

6 0
2 years ago
Write the equition of the line that passes through the pair of points (8,-8) and (9,-4)
ANTONII [103]

Answer: More Info

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • What is the point-slope form of a line that has a slope of 3 and passes through the point (–1, 4)?
    14·1 answer
  • Please help solve <br> 5!3!/6! = ?
    9·2 answers
  • Find the lateral area of the prism 3m 6m 3m 6m 15m
    9·1 answer
  • A video game costs $29.35 at one store and $32.79 at another store. Generate two equivalent expressions and then find how much m
    12·1 answer
  • generally people cover 110 yards in 11 seconds. express the speed in feet per second. (3 feet = 1 yard)
    12·1 answer
  • The population of Hicksville increased from 20,000 to 24,500 in the past decade. What is the percent of increase in population o
    13·1 answer
  • Unit 8: Right Triangles &amp; Trigonometry Homework 3
    8·1 answer
  • $6,000 is invested in two different accounts earning 3% and 5% interest at the end of one year to two accounts earn $220 in inte
    14·1 answer
  • (Please help quick! will do brainliest!!)
    10·2 answers
  • Let f(x) = 2x–8 and g(x) = x + 2. Find f(g(x)) and g(f(x)).
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!