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
aliina [53]
2 years ago
11

Guys, I beg you! How do you do these factoring quadratic equations!

Mathematics
2 answers:
Romashka-Z-Leto [24]2 years ago
8 0
<h3>Answers:  x = -11 and x = 3</h3>

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

Explanation:

There are at least three ways to solve this.

----------------------------------------------

Method 1:

We could graph y = (x-2)(x+10) using a tool like Desmos. Graph y = 13 as well which is a horizontal line.

Check out the screenshot shown below.

The parabola in red and the horizontal line in blue intersect at the locations (-11, 13) and (3, 13)

We only focus on the x coordinates of the intersection points.

Therefore, the two solutions are x = -11 and x = 3

The order of the solutions doesn't matter.

----------------------------------------------

Method 2:

Expand things out and get everything to one side

(x-2)(x+10) = 13

x^2 + 10x - 2x - 20 = 13

x^2 + 8x - 20 - 13 = 0

x^2 + 8x - 33 = 0

From here we can use the quadratic formula

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-8\pm\sqrt{(8)^2-4(1)(-33)}}{2(1)}\\\\x = \frac{-8\pm\sqrt{64+132}}{2}\\\\x = \frac{-8\pm\sqrt{196}}{2}\\\\x = \frac{-8\pm14}{2}\\\\x = \frac{-8+14}{2} \ \text{ or } \ x = \frac{-8-14}{2}\\\\x = \frac{6}{2} \ \text{ or } \ x = \frac{-22}{2}\\\\x = 3 \ \text{ or } \ x = -11\\\\

----------------------------------------------

Method 3:

Instead of using the quadratic formula, we could factor.

To factor x^2+8x-33, we need to find two numbers that

  • Multiply to -33
  • Add to 8

Through trial and error, you should get 11 and -3

  • 11 times -3 = -33
  • 11 plus -3 = 8

So,

x^2+8x-33 = 0

(x+11)(x-3) = 0

x+11 = 0 or x-3 = 0

x = -11 or x = 3

Valentin [98]2 years ago
5 0
Times the x’a together and x*10 then 2*x and 2*10
You might be interested in
Find the following angles<br>​
Serga [27]

Answer:

Downwards ↓

Step-by-step explanation:

a°=90° (right angle)

c°=45° (diagonal)

b°=180-63 (angles on a straight line)

=117°

3 0
3 years ago
Read 2 more answers
Angie mows lawns in her neighborhood to make money. She charges $25 per lawn and buys a new mower for $200. If x is the number o
natali 33 [55]

Answer: Angie's profit equation is 25x−200=p

Step-by-step explanation:

Let x represent the number of lawns that Angie mows in her neighborhood.

Let p represent the profit made by mowing x lawns.

Profit = Revenue - cost

She charges $25 per lawn. This means that the amount charged for x lawns = 25×x = 25x

So her revenue is 25x

She buys a new mower for $200. Thus, the cost is $200. Therefore, Angie's profit,p is expressed as

p = 25x - 200

7 0
2 years ago
What triangle has sides 23mm,20mm,13mm..angles 62°,72°,46°
liberstina [14]
This kind of triangle is acute triangle because on the given three angles, none of them does not exceed more than 90°.
3 0
2 years ago
Read 2 more answers
CCSS Math 7
Andre45 [30]

Answer:

1.

a = 112

b = 68

c = 68

2.

a = 127

3.

a=35

b=40

c=35

d=70

4.

a= 30

b=70

c = 30

d=70

e = 130

I'll help you with the rest later

Step-by-step explanation:

a = 112 because of allied angles rule

b and c = 68 because of angles at a point

360-112-112 ÷2

2. a = 127 because of angles on a straight line rule.

180-38-15

3. d= 70, vertically opposite angle

using angles on a straight line, 180 - 70 - 40 ÷ 2

we now have the two angles and because they are vertically opposite a and c = 35

b = 40 because of vertically opposite angles

4. a=30 because 90-70

since a=30, take 90 - 30 to get b, 70

d= 70, vertically opposite angles

e = 130 because a+b+c, vertically opposite angles

7 0
2 years ago
WHO IS IN K12 7TH...​
dsp73

Answer:

.id.k

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • Evaluate the function for the given value.<br><br> f(-3) if f(x) = 4x 2 + 7x
    5·1 answer
  • I need help with this promblem and I need a answer and a good explaination on this thx!
    7·2 answers
  • Find the slope that passes through these two points.
    15·1 answer
  • Look at the photo pick A B C D either one explanation not needed thank you! &lt;3
    13·1 answer
  • A pyramid has a square base of length 4.8 m and a total surface area of 85 m². Find the volume of the pyramid.​
    11·1 answer
  • The letters for the word SCHOOL are placed in a hat. What is the probability of drawing the letter O out of the hat?
    12·2 answers
  • Which describes the relationship between 1 and 22?
    9·1 answer
  • Write the prime factorization of 315.
    5·1 answer
  • The picture shows the $4.88 Josephine spent on a package of 4 pens.
    8·2 answers
  • Find the slope of the line passing through the points (-4, -2) and (6, -2).
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!