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cupoosta [38]
3 years ago
14

Match each absolute value sentence with its equivalent compound sentence

Mathematics
1 answer:
Anestetic [448]3 years ago
7 0
1. | x - 5 | = 4
    x - 5 = 4 or x - 5 = -4

2. | x - 5 | < 4
    -4 < x - 5 < 4

3. | x - 5 | > 4
    x - 5 > 4 or x - 5 < -4

4. | 2x + 3 | < 8
    -8 < 2x + 3 < 8

5. | 2x + 3 | > 8
    2x + 3 > 8 or 2x + 3 < -8
    
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Find the area of the parallelogram whose sides are given by vectors a and b. Use the cross product only.
MaRussiya [10]

9514 1404 393

Answer:

  √869 ≈ 29.48 square units

Step-by-step explanation:

The vector cross product is ...

  (3·1 -5·4, -6·1 +2·4, 6·5 -2·3) = (-17, 2, 24)

The area is the magnitude of this vector, so is ...

  √((-17)² +2² +24²) = √(289 +4 +576) = √869 ≈ 29.48

The area is about 29.48 square units.

5 0
3 years ago
Rewrite in simplest rational exponent form <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20%2A%20%5Csqrt%5B4%5D%7Bx%7D" id="T
Shkiper50 [21]

The given expression written in the simplest rational exponent form is x^{\frac{3}{4} }

<h3>Writing an Expression in Exponent form</h3>

From the question, we are to write the given expression in exponent form

The given expression is

\sqrt{x}  \times \sqrt[4]{x}

In exponent form,

\sqrt{x}  = x^{\frac{1}{2} }

and

\sqrt[4]{x} = x^{\frac{1}{4} }

Thus,  \sqrt{x}  \times \sqrt[4]{x} becomes

x^{\frac{1}{2} } \times x^{\frac{1}{4} }

Applying the multiplication law of indices, we get

x^{\frac{1}{2} + \frac{1}{4} }

= x^{\frac{3}{4} }

Hence, the given expression written in the simplest rational exponent form is x^{\frac{3}{4} }

Learn more on Writing an expression in exponent form here: brainly.com/question/4421494

#SPJ1

5 0
1 year ago
10=-3k+8k<br><br> Pls help me step by step
tresset_1 [31]
10=-3k+8k
10=5k
10/5=5/5k
2=k

5 0
3 years ago
Read 2 more answers
How many small cubes are needed to to completely fit in this rectangular prism?
uranmaximum [27]

Answer:

it has to be over 100

Step-by-step explanation:

i think this because if the 1 fraction cube is 1/3*1/3*1/3 big and the cube itself is 2 1/3*3 2/3*3 times long you would have to multiply that and the answer you get for the both of them divide them and see what you get

which would be 693.000000133

7 0
2 years ago
9x + 7y = -12 find the value of y when x equals 1
lutik1710 [3]

Answer:

y = -3

Step-by-step explanation:

9x + 7y = -12

9(1) + 7y = -12

9 + 7y = -12

7y = -12 - 9

7y = -21 (divide both sides by 7)

y = -3

7 0
3 years ago
Read 2 more answers
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