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
Luden [163]
3 years ago
10

What re the solutions of the equation x^2 +4x+4 = 25?

Mathematics
1 answer:
Oliga [24]3 years ago
3 0
Get everything on one side: x^{2} +4x-21=0.  Now we can factor to find the solutions.  What we ask ourselves here is "What 2 numbers will add to be +4 and multiply to be -21?"  +7 and -3 work because 7-3 = 4 and 7 * -3 = -21.  So our factors are (x+7)(x-3).  Our solutions, however, are found using the Zero Product Property.  If x + 7 = 0, then x = -7.  If x - 3 = 0, then x = 3.  So our solutions are x = -7 and x = 3.
You might be interested in
The lateral area of a cube is one hundred forty-four square kilometers. What is its side length?
myrzilka [38]
Lateral area is the total surface area. A cube has 6 faces.

Lateral area = 6x²

<span>6x² = 144
</span>
<span>x² = 144/6
</span>
<span>x² = 24
</span>
<span>x² = </span>√24

x ≈ 4.899 km 
8 0
3 years ago
The lines shown below are parallel?
konstantin123 [22]
The answer is D.) -1/2
Hope it’s helpful
7 0
3 years ago
Solve and write solution in interval notation 4(x+1)+3&gt;x-5
soldi70 [24.7K]

Answer:

\large\boxed{x\in\left(-\dfrac{13}{3},\ \infty\right)}

Step-by-step explanation:

4(x+1)+4>x-5\qquad\text{use the distributive property}\\\\4x+4+4>x-5\\\\4x+8>x-5\qquad\text{subtract 8 from both sides}\\\\4x>x-13\qquad\text{subtract}\ x\ \text{from both sides}\\\\3x>-13\qquad\text{divide both sides by 3}\\\\x>-\dfrac{13}{3}\to x\in\left(-\dfrac{13}{3},\ \infty\right)

3 0
3 years ago
Suppose the weights of farmer carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1
denis23 [38]
Given that <span>the weights of farmer carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1 ounces.

The probability of a normally distributed data between two values (a, b) is given by:

P(a\ \textless \  X\ \textless \  b)=P\left(z\ \textless \  \frac{b-\mu}{\sigma/\sqrt{n}} \right)-P\left(z\ \textless \  \frac{a-\mu}{\sigma/\sqrt{n}} \right) \\  \\ =P(7.5\ \textless \ X\ \textless \ 8.5)=P\left(z\ \textless \  \frac{8.5-8.0}{1.1/\sqrt{6}} \right)-P\left(z\ \textless \  \frac{7.5-8.0}{1.1/\sqrt{6}} \right) \\  \\ =P(z\ \textless \ 1.113)-P(-1.113)=0.8672-0.1328=0.7344</span>
6 0
4 years ago
A triangle has an angle that measures 95°. The other two angles are in a ratio of 3:14. What are the measures of those two angle
Marta_Voda [28]

Answer: 15° and 70°

Step-by-step explanation:

The sum of angles of a triangle is 180.

One of the angle is given to be 95°, this means that the sum of the remaining two angles will be ;

180 - 95 =  85°

The ratio of the two sides is given to be 3 : 14

Calculating the angles of each ,the angle with the ratio 3 will be

3/17 x 85 = 15°

The angle with the ratio 14 will be

14/17 x 85 = 70°

Therefore : the measures of the two angles are : 15° and 70°

7 0
3 years ago
Other questions:
  • A doctor wants to start a business that produces medical equipment. though she is an expert on medicine, she realizes she'll nee
    11·1 answer
  • Please help me . I don't get it
    6·2 answers
  • A race is 8miles long.if joe has completed 3/4 of the race,how far has he run?
    12·2 answers
  • What is the square root of 361???
    12·2 answers
  • A circle is cut from a square piece of cloth, as shown:
    10·1 answer
  • Callie's and jordan's families were driving to their family reunion in Marshall. Callie's family traveled from Ontario to Marsha
    9·1 answer
  • Can Someone Answer My Questions Please ;(
    15·2 answers
  • Help please i don’t really understand i am slow!
    7·1 answer
  • Help pls pls help me<br><br><br><br><br><br><br><br>​
    11·1 answer
  • Select all the expressions that are equivalent to 25 + 3(a - 5) + 7a (A) 10a + 20 D 10a + 10 B 8a + 23 E 2(5a + 10) 5(2a + 2)​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!