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2 years ago

Solve 2x2 − 12x + 20 = 0. 3 ± i 3 ± 2i 1 ± 2i 2 ± 3i

1 answer:

7 0

This is the concept of quadratic equations, solving the equation 2x^2-12x+20=0 using the formula we get:
x=[-b+/-sqrt(b^2-4ac)]/(2a)
from our equation, a=2,b=-12 and c=20
x=[-(-12+/-sqrt((-12)^2-4*2*20)]/(2*2)
x=[12+/-sqrt(144-160]/4
x=[12+/-sqrt(-16)]/4
x=[12+/-4i]/4
x=[3+\-i]
the answer is A] 3+/-i

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2 years ago

What is the range of 5, 9, 4, 7, 6, 2, 1, 8, 4, 9, 3, 4, 6, 4, 2, 4? 2 4 6 8

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3 years ago

Read 2 more answers

Element X decays radioactively with a half life of 6 minutes. If there are 790 grams of Element X, how long, to the nearest tent

frosja888 [35]

Answer:

It takes 27 minutes for the element to decay to 35 grams

Step-by-step explanation:

Given:

Initial amount = 790 grams

Final amount = 35 grams

Half life = 6 minutes

To find:

Time taken for the element to reduce into 35 grams = ?

Solutions

Time taken = $half life \times \frac{ log(\frac{ initial amount}{final amount})}{log(2)}$

On substituting the values given, Time taken

= $6 \times \frac{log(\frac{790}{35})}{log(2)}$

= $6 \times \frac{log(22.57)}{log(2)}$

= $6 \times 4.496$

= 26.97

= 27 minutes

7 0

3 years ago

Please solve with explanation

Inga [223]

Answer:

a. Simplify each term. 49/2+0

Add 49/2 and 0.

49/2

The result can be shown in multiple forms.

Exact Form:

49/2

b. Replace the variable a with −13 in the expression.

−(−1/3)²b²−3(−1/3)³b²

Replace the variable b with −1 in the expression.

−(−1/3)²(−1)²−3(−1/3)³(−1)²

Simplify each term. −1/9+1/9 = 0

Combine fractions. 0

Step-by-step explanation:

4 0

3 years ago

Graph the image of the given triangle under a dilation with a scale factor of −2 and center of dilation (0, 0) .

Ronch [10]

To dilate an object means to enlarge or reduce the size of the object. The scale factor will determine how much larger or smaller the object will become. If this factor is greater than 1, the object will increase in size. Otherwise, if the factor is less than 1, the object will decrease in size. So, the dilated object will be similar to its original. On the other hand, when corresponding points of the original and dilated figures are connected by straight lines, the center of dilation is the point where all the lines meet. In this problem, the center is (0, 0). When the center is the origin we need to multiply all the original coordinates of the object by the scale factor given. So:

$A(-4, 1) \rightarrow A'=-2(-4,1) \rightarrow A'(8,-2) \\ \\ B(-3, -4) \rightarrow B'=-2(-3,-4) \rightarrow B'(6,8) \\ \\ C(-2, -2) \rightarrow C'=-2(-2,-2) \rightarrow C'(4,4)$

So, the graph of the dilated triangle is shown in the Figure below

8 0

3 years ago

Read 2 more answers