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marshall27 [118]
2 years ago
13

Taking out common factor

9%20%7B%7D%5E%7B2%7D%20%20-%208%28e%20-%20w%29%20%7B%7D%5E%7B2%7D%20" id="TexFormula1" title="16(e - w) {}^{2} + 4(e - w) {}^{2} - 8(e - w) {}^{2} " alt="16(e - w) {}^{2} + 4(e - w) {}^{2} - 8(e - w) {}^{2} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Stels [109]2 years ago
7 0

9514 1404 393

Answer:

  12(e -w)²

Step-by-step explanation:

Quite clearly, the squared value is a factor of each term:

  16(e -w)² +4(e -w)² -8(e -w)² = (16 +4 -8)(e -w)² = 12(e -w)²

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The product of two whole numbers is 702 and their sum is 53. What are the two numbers?
adelina 88 [10]

Answer:

26 and 27

Step-by-step explanation:

Let the numbers be x and y

x + y = 53

xy = 702

x = 702/y

702/y + y = 53

Multiply through by y

702 + y^2 = 53y

y^2 - 53y + 702 = 0

y^2 - 27y - 26y + 702 = 0

y(y - 27) - 26(y - 27) = 0

(y - 27) (y - 26) = 0

y = 26 or 27

Solve for x in x + y = 53

if y = 26,

x = 53 - 26 = 27

if y = 27,

x = 53 - 27 = 26

The numbers are 26 and 27

7 0
3 years ago
Complete this proof.<br><br> Given: EC AC, DB AC, ∠A = ∠F<br> Prove: ΔMDF ∼ ΔNCA
Gelneren [198K]

Answer:

Proved

Step-by-step explanation:

Given: EC || AC, DB || AC, ∠A = ∠F

Prove: ΔMDF ∼ ΔNCA

Solution

See diagram attached to the solution to better understand the following workings.

Redrawing ΔMDF or rotating to be facing the same direction.

EC is parallel to AC

DB parallel to AC

Using similar triangle theorem:

If ΔMDF ∼ ΔNCA

Ratio of Corresponding sides would be equal

(adjacent of ΔMDF)/(adjacent of ΔNCA) = (Opposite of ΔMDF)/(opposite of ΔNCA) = (hypotenuse of ΔMDF)/(hypotenuse of ΔNCA)

DF/ CA = MD/NC = FM/AN

∠A = ∠F

∠M = ∠N

∠D = ∠C

Since the ratio of Corresponding sides and angle are equal, ΔMDF is similar to ΔNCA.

ΔMDF ∼ ΔNCA

6 0
3 years ago
Read 2 more answers
HELP ME PLEASE! I need to find the Interquartile range of : 0,0,0,1,1,3,3,3,4,4,4,6,6,7,7,7,8,8,9,10
Lana71 [14]

Answer:

The interquartile range is 5

4 0
2 years ago
Can someone help. pls ​
Elan Coil [88]

Answer: 5

Step-by-step explanation:

Pythagorean Theorem = a^2 + b^2 = c^2 (hypotenuse)

the square root of 4^2 + 3^2 = c

c = 5

3 0
2 years ago
Write an equation that represents"Four less than the difference of half a number and 3 is 20 ."Use X for the variable.​
Alex73 [517]

Answer:

{(1/2)x-3}-4=20

That is your answer.

8 0
3 years ago
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