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DochEvi [55]
3 years ago
6

What are the solution's of x2-4=0

Mathematics
1 answer:
tatyana61 [14]3 years ago
3 0

Answer:

x=2 or x=-2

Step-by-step explanation:

x2−4=0

Step 1: Add 4 to both sides.

x2−4+4=0+4

x2=4

Step 2: Take square root.

x=±√4

x=2 or x=−2

You might be interested in
Please help! Thank you
Vanyuwa [196]

Answer:

x = 82°

y = 59°

z = 39°

Step-by-step explanation:

∠x = 1/2(134° + 30°) = 82°

∠z = 180° - 59° - 82° = 39°

arc DF = 2(39°) = 78°

arc DB + arc DF = 134° + 78° = 212°

draw a diameter down from point B to the opposite side of the circle, call that point P:

arc BDP = 180°

(arc BDF) 212° - 180° = 32° (arc PF)

∠PBG = 1/2(32°) = 16°

∠DEB = 1/2(134°) = 67°

∠DBE = 180° - 59° - 67° = 54°

(∠DBE) 54° - (∠z) 39° + (∠PBG) 16° = (∠PBE) 31°

y = 90°- 31° = 59°

5 0
3 years ago
What is the amplitude of the cosine function corresponding to the secant function graphed below ? a. -2 b. -1 c. 2 d. 3
Bas_tet [7]

Answer:

2

Step-by-step explanation:

From the graph, we obtain the trigonometric function as:

y=2 \sec x+1

The corresponding cosine function have equation.

y=2\cos x+ 1

This function is of the form: y=a\cos bx+c

where |a| is the amplitude.

Therefore the amplitude is |2|=2

The third choice is correct

7 0
3 years ago
What is the rate of change between (1,15) (3,45)?
Ksivusya [100]

Answer:

15

Step-by-step explanation:

Rate of change or slope or gradient of a line passes two points (x1, y1) and (x2, y2) could be calculated by:

(y2 - y1)/(x2 - x1)

=> Rate of change of the line passing (1,15) and (3,45):

(45 - 15)/(3 - 1) = 30/2 = 15

3 0
3 years ago
Use the Euclidean Algorithm to compute the greatest common divisors indicated. (a) gcd(20, 12) (b) gcd(100, 36) (c) gcd(207, 496
coldgirl [10]

Answer:

(a) gcd(20, 12)=4

(b) gcd(100, 36)=4

(c) gcd(496,207 )=1

Step-by-step explanation:

The Euclidean algorithm is an efficient method for computing the greatest common divisor of two integers, without explicitly factoring the two integers.

The Euclidean algorithm solves the problem:

<em>                                   Given integers </em>a, b<em>, find </em>d=gcd(a,b)<em />

Here is an outline of the steps:

  1. Let a=x, b=y.
  2. Given x, y, use the division algorithm to write x=yq+r.
  3. If r=0, stop and output y; this is the gcd of a, b.
  4. If r\neq 0, replace (x,y) by (y,r). Go to step 2.

The division algorithm is an algorithm in which given 2 integers N and D, it computes their quotient Q and remainder R.

Let's say we have to divide N (dividend) by D (divisor). We will take the following steps:

Step 1: Subtract D from N repeatedly.

Step 2: The resulting number is known as the remainder R, and the number of times that D is subtracted is called the quotient Q.

(a) To find gcd(20, 12) we apply the Euclidean algorithm:

20 = 12\cdot 1 + 8\\ 12 = 8\cdot 1 + 4\\ 8 = 4\cdot 2 + 0

The process stops since we reached 0, and we obtain gcd(20, 12)=4.

(b) To find gcd(100, 36) we apply the Euclidean algorithm:

100 = 36\cdot 2 + 28\\ 36 = 28\cdot1 + 8\\ 28 = 8\cdot 3 + 4\\ 8 = 4\cdot 2 + 0

The process stops since we reached 0, and we obtain gcd(100, 36)=4.

(c) To find gcd(496,207 ) we apply the Euclidean algorithm:

496 = 207\cdot 2 + 82\\ 207 = 82\cdot 2 + 43\\ 82 = 43\cdot 1 + 39\\ 43 = 39\cdot 1 + 4\\ 39 = 4\cdot 9 + 3\\ 4 = 3\cdot 1 + 1\\ 3 = 1\cdot 3 + 0

The process stops since we reached 0, and we obtain gcd(496,207 )=1.

3 0
3 years ago
Mikaela purchased a paddleboard originally priced at $699. If all merchandise was on sale for 40% off and the state tax rate is
vitfil [10]

Answer:

299.87

Step-by-step explanation:

699*0.40=279.60\\279.60*0.0725= 20.271 (round)\\279.60+20.27=299.87

6 0
2 years ago
Read 2 more answers
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