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OleMash [197]
3 years ago
14

The polynomial X3+ 8 is equal to

Mathematics
1 answer:
shtirl [24]3 years ago
4 0

Answer:

(x + 2)(x² - 2x + 4)

Step-by-step explanation:

x³ + 8 ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²), thus

x³ + 8

= x³ + 2³

= (x + 2)(x² - 2x + 4)

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△ABC ≅ △DEF, EF = x 2 - 7, and BC = 4x - 2.
Artist 52 [7]

Answer:

Therefore the value of x is 5.

Step-by-step explanation:

Given:

△ABC ≅ △DEF,

EF = x 2 - 7, and

BC = 4x - 2.

To Find:

the values of x. = ?

Solution:

△ABC ≅ △DEF      ........Given

If two Triangles are congruent then the Corresponding Parts of Congruent Triangles are Congruent.

∴ BC ≅ EF   ...................CPCTC

Substituting the values we get

4x-2=x^{2}-7\\x^{2}-4x-5=0

Now By Factorizing we get

x^{2}-5x+x-5=0\\x(x-5)+1(x-5)=0\\(x+1)(x-5)=0\\x+1=0\ or\ x-5=0\\x=-1\ or\ x=5\\x\ cannot\ be\ negative\\\therefore x=5

Therefore the value of x is 5.

8 0
3 years ago
Sketch a line with a slope of -2 and another with a slope of -4
WINSTONCH [101]

Answer:


Step-by-step explanation:

Try and become familiar with a program like Desmos. It will do wonderful things for you.

I have graphed

Red: y = -2x + 5  (The 5 is the y intercept. For this question it could be anything.

Blue: y = - 4x + 5 Same note as above.


4 0
3 years ago
ILL MARK BRAINILEST (100 POINTS) !!! Factor the polynomial 7xy + 14x − 35y − 70 completely. 7(2x − 5)(y + 2) 7(x − 5)(y + 2) 7(x
Vlad [161]

Answer:

<u>B. 7(x − 5)(y + 2)</u>

Explanation:

A. 7(2x − 5)(y + 2) = 14xy + 28x − 35y − 70 (Wrong)

<u><em>B. 7(x − 5)(y + 2) = 7xy + 14x − 35y − 70 (Correct)</em></u>

C. 7(x − 2)(y + 5) = 7xy <u>+</u> 35x− 14y − 70 (Wrong)

D.  7(x − 10)(y + 2) = 7xy + 14x − 70y − 140 (Wrong)

8 0
2 years ago
Read 2 more answers
Suppose that a cyclist began a 364 mi ride across a state at the western edge of the​ state, at the same time that a car traveli
maw [93]
The car's average rate  is 43.7 mph. The bicycle's average rate is 12.3 mph.

To get this solution, let the bicycle's average rate be (x) and the car's average rate be (x + 31.4) mph. 

Distance= Speed x Time
364 = (x + x + 31.4) 6.5
364 = (2x + 31.4) 6.5
364/6.5 = 2x + 31.4
56 = 2x + 31.4
56 - 31.4 = 2x
24.6 = 2x
24.6/2 = x
12.3 = x

x = 12.3 mph     
x+31.4 = 43.7 mph
6 0
3 years ago
What is the domain of the functions on the graph
nekit [7.7K]
I would say all real numbers as the domain for this would be (-∞,∞).

However, I may be wrong, math is not my strong suit.
6 0
3 years ago
Read 2 more answers
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