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Viktor [21]
2 years ago
7

What is the factored form of the following expression? 25x^2 + 70x+ 49​

Mathematics
1 answer:
sertanlavr [38]2 years ago
6 0

Answer:

( 5x + 7 ) ²

Step-by-step explanation:

25 x ² + 70 x + 49

Identity Used

  • (a + b) ² = a ² + 2 ab + b ²

= 25 x ² + 35 x + 35 x + 49

= 5 x ( 5x + 7 ) + 7 ( 5 x + 7)

= ( 5x + 7 )

<u>More to know about Algebraic Identities</u> :-

  • ➛ (a + b)² = a² + 2ab + b²
  • ➛ (a - b)² = a² - 2ab + b²
  • ➛ a² - b² = (a +b) (a-b)
  • ➛ (x + a) (x + b) = x² + (a + b) x + ab
  • ➛ (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac
  • ➛ (a + b)³ = a³ + b³ + 3ab (a + b)
  • ➛ (a - b)³ = a³ - b³ - 3ab (a + b)
  • ➛ a³ + b³ + c³ = 3abc (If a + b + c = 0)
  • ➛ a² + b² + c² = (a + b + c)² - 2 (ab + bc + ca)
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27. The altitude BD to the base AC of isosceles ABC has a length of 12. If AC = 10,
Vsevolod [243]

The answer is: 36

Because, bisecting the base of the triangle gives of two segments of five. This forms two triangles with base of 5 and altitude (in this case height) of 12. There exists a special pythagorean triplet triangled named 5-12-13 meaning if you have a right triangle with two of these sides then the unknown side is the number left out. In this case, the altitude forms a right angle on the base which allows the sides of the big isocs. triangle to be 13 giving us 13 + 13 + 10 to be the perimeter = 36.

6 0
3 years ago
Tamara bought a $22 mailbox using a 10% off coupon David bought an identical mailbox for $19.95 at a different store
MAVERICK [17]

Answer:David bought an identical mailbox for $ 19.95 at a different store.

Step-by-step explanation:

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4 0
2 years ago
Based on the given information, what is the measure of the missing length, c?
salantis [7]

Answer:

c=5\ units

Step-by-step explanation:

we know that

In the right triangle ABC of the figure

Applying the Pythagoras Theorem

AC^{2}=AB^{2}+BC^{2}

substitute the given values

13^{2}=c^{2}+12^{2}

Solve for c

169=c^{2}+144

c^{2}=169-144

c^{2}=25

c=5\ units

4 0
3 years ago
F(x) → 4x - 7. Find f(9)
Dvinal [7]

Answer:

29

Step-by-step explanation:

f(x) = 4x -7

f(9) = 4(9)-7

=36-7

=29

4 0
2 years ago
Is this proportional or nonpoportional?​
Romashka-Z-Leto [24]
No I don’t think so (&/&/ need extra characters)
6 0
3 years ago
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