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
svet-max [94.6K]
3 years ago
6

Algebra 2 help? Factor 1052 - 82 into two prime factors. 1052 - 82 = (?)(?)

Mathematics
1 answer:
Lina20 [59]3 years ago
5 0
The answer is 97 · 113.

105² - 8² is the differences of squares.
The general formula of the differences of squares can be expressed as:
                            a² - b² = (a - b)(a + b)
In  expression 105² - 8², we can cay that a = 105 and b = 8. Therefore:
105² - 8² = (105 - 8)(105 + 8) = 97 · 113
Both 97 and 113 are prime numbers.

You might be interested in
Pls help! will mark branliest!!! :)
Ket [755]

The area of the house is the amount of space on the house.

  • The length of the addition is x + 20
  • The area of the original house is x^2 + 30x + 200

<h3>The length of the addition</h3>

The area of the addition is given as:

Area = x^2 + 10x - 200

Expand

Area = x^2 + 20x - 10x - 200

Factorize

Area = x(x + 20) - 10(x + 20)

Factor out x + 20

Area = (x -10)(x + 20)

The width of the addition is x - 10.

Hence, the length of the addition is x + 20

<h3>The area of the original house</h3>

The dimension of the original house is

x + 20 by x + 10

So, the area is:

Area =(x + 20)(x + 10)

Expand

Area =x^2 + 20x + 10x + 200

This gives

Area =x^2 + 30x + 200

Hence, the area of the original house is x^2 + 30x + 200

Read more about areas at:

brainly.com/question/24487155

8 0
2 years ago
What shape will result when you make a vertical cross section through the picture below?
Goryan [66]

Answer:

rectangle

Step-by-step explanation:

3 0
2 years ago
Given a right triangle with sides a = 3 , b = 4, and c = 5. Find the missing side c of another right triangle with a = 6 and b =
horsena [70]

<em>c = 10</em>

Step-by-step explanation:

We can find out the missing side of a right triangle by using the Pythagorean theorem.

The Pythagorean theorem is...

a^2+b^2=c^2

We can even double check the first problem by plugging in everything into the theorem and solving, everything will come out correct. We can plug in the numbers from the second problem into the theorem and find c, also please note that the hypotenuse of a triangle will <em>always </em>be c. It doesn't matter which you put in for a or b, but since the problem gives us which one is a and which one is b, I'll just be plugging it in like that.

6^2+8^2=c^2

36+64=c^2

100=c^2

A lot of people will stop here and think that the answer is 100, but you need to find the square root of 100, since c is squared. The square root of 100 is 10, so...

<em><u>c = 10</u></em>

7 0
3 years ago
Select the graph that represents the solution to the following inequality: Ix-3I&lt;3
Dominik [7]
The correct answer is:  Answer choice:  [C]:_________________________________________________→  {the number line/ graph provided for choice:  [C] ;  as follows}:_________________________________________________

4 0
3 years ago
Which the slope-intercept form of the equation of each line the slope and y-intercept?
Delvig [45]
<span><span>SPOTLIGHT DEMYSTIFIED QUIZZES GALLERIES LISTS ON THIS DAY BIOGRAPHIES</span>SEARCH BRITANNICAWhat are you looking for?SearchBROWSE POPULAR TOPICS:<span>Pearl Harbor attack American Revolution Reign of Terror Photosynthesis Las Posadas</span></span><span>You have reached Britannica's public website.<span>For ad-free access to your Britannica School or Library account CLICK HERE</span></span><span>Chemical compound<span>WRITTEN BY: </span><span>Melvyn C. UsselmanRichard O.C. NormanSteven S. ZumdahlCarl R. Noller</span>See Article History<span><span>Chemical compound, any substance composed of identical moleculesconsisting of atoms of two or more chemical elements.<span><span>Methane, in which four hydrogen atoms are bound to a single carbon atom, is an example of a basic chemical compound. The structures of chemical compounds are influenced by complex factors, such as bond angles and bond length.Encyclopædia Britannica, Inc.</span></span>All the matter in the universe is composed of the atoms of more than 100 different chemical elements, which are found both in pure form and combined in chemical compounds. A sample of any given pure element is composed only of the atoms characteristic of that element, and the atoms of each element are unique. For example, the atoms that constitute carbon are different from those that make up iron, which are in turn different from those of gold. Every element is designated by a unique symbol consisting of one, two, or three letters arising from either the current element name or its original (often Latin) name. For example, the symbols for carbon, hydrogen, and oxygen are simply C, H, and O, respectively. The symbol for iron is Fe, from its original Latin name ferrum. The fundamental principle of the science of chemistry is that the atoms of different elements can combine with one another to form chemical compounds. Methane, for example, which is formed from the elements carbon and hydrogen in the ratio four hydrogen atoms for each carbon atom, is known to contain distinct CH4 molecules. The formula of a compound—such as CH4—indicates the types of atoms present, with subscripts representing the relative numbers of atoms (although the numeral 1 is never written).<span /></span></span><span><span>
</span></span></span>
6 0
3 years ago
Other questions:
  • Boonk gang whole lotta
    5·2 answers
  • Coffee cost $18.96 for 3 pounds was the cost of per pound of coffee let X be the number of pounds of coffee if I buy the total o
    8·2 answers
  • Each store is offering a different promotion
    7·1 answer
  • Lorraine rode her bike one-sixth the distance Jeremy rode his bike. If b represents the
    7·2 answers
  • Yancy is 2 years older than 3 times her younger sister's age. Her younger sister is 6 years old.How old is Yancy?
    14·2 answers
  • Find the slope of a pipe that slopes down 1/3 inch per foot
    6·1 answer
  • Which expression gives the length of the transverse axis of the hyperbola
    12·1 answer
  • Help anyone pleaseLol
    13·1 answer
  • ( X ) -3, 0, 3
    11·1 answer
  • 10. The perimeter of the rectangle below is 30 inches. Find the value of x.<br> 5x<br> X-3
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!