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Nata [24]
3 years ago
8

Kevin is currently twice as old as his brother. If Kevin was eight years old two years ago, how old is Kevin's brother now?

Mathematics
2 answers:
9966 [12]3 years ago
8 0
So first you add 8 and 2 to get 10. This means that Kevin is 10 years old now. If he is currently twice as old as his brother it means that you divide 10 by 2 to get 5. Kevin's brother is 5 years old.

Answer: 5 years old
jarptica [38.1K]3 years ago
7 0
<span>k = 2b
k - 2 = 8
 
k - 2 = 8
 
Add 2 to both sides:
 
k = 10
 
Plug in 10 for 'k' in the first equation:
 
10 = 2b

Divide 2 to both sides:

b = 5

So his brother is 5 years old now.</span>
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Write two division problems related to the multiplication problem below. 8×(-2)=-16
Alenkasestr [34]

To solve this problem, we must remember that division is the inverse operation of multiplication. This means to undo any multiplication problem, we can divide.

Because 8 * -2 = -16, if we divide the product by the two factors, we can reveal this unique relationship, as shown below:

-16/-2 = 8

-16/8 = -2

Therefore, the two division problems above are your answer.

Hope this helps!

3 0
3 years ago
In a rectangle KLMN, KM = 6x + 16 and LN = 49. find the value of x
RoseWind [281]

Answer:

5.5

Step-by-step explanation:

in a rectangle, opp. sides are equal,

∴, KM=LN

∴, 6x+16=49

6x = 33

x = 5.5


5 0
3 years ago
Read 2 more answers
Which figure could be the result of dilating the trapezoid with a scale factor between 0 and 1? On a coordinate plane, a trapezo
Lena [83]

Answer:

On a coordinate plane, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0).

Step-by-step explanation:

If a trapezoid is dilated with a scale factor between 0 and 1, the resulting trapezoid will look smaller than the original trapezoid.

Since the figure is missing, we can examine the coordinates.

By analyzing the coordinates critically, the correct choice is :

On a coordinate plane, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0).

Because when we compare to the original figure with coordinates:

(0, 0), (1, 4), (2, 4), (3, 0), we can see that, the coordinates of the original figure were multiplied by \frac{`1}{2} .

The scale factor is k=\frac{`1}{2} and this is between 0 and 1

5 0
3 years ago
Precalculus question:
nirvana33 [79]

Considering the polynomial f(x) = x^4  - 16x³ + 70x² + 48x - 219, we have that:

a) The zeros are: x = -1.995, x = 1.995, x = 8 - 3i, x = 8 + 3i.

b) The linear factors are: (x + 1.995)(x - 1.995)(x - 8 + 3i)(x - 8 - 3i).

c) The solutions to f(x) = 0 are: x = -1.995, x = 1.995, x = 8 - 3i, x = 8 + 3i.

<h3>How to obtain the zeros of the polynomial?</h3>

The given zero of the polynomial is:

8 + 3i

Hence it's conjugate is also a zero, that is:

8 - 3i.

Thus the first two factors are given as follows:

(x - 8 - 3i)(x - 8 + 3i) = x² - 16x + 64 + 9i² = x² - 16x + 55.

Then the polynomial can be written as follows:

x^4  - 16x³ + 70x² + 48x - 219 = (ax² + bx + c)(x² - 16x + 55).

As a fourth order polynomial can be the product of two second order polynomials. Applying the distributive property to the right side of the equality, we have that:

x^4  - 16x³ + 70x² + 48x - 219 = ax^4 + x³(b - 16a) + x²(55a + c - 16b) + x(55b - 16c) + 55c.

Then the coefficients are given as follows:

  • a = 1.
  • 55c = -219 -> c = -219/55 -> c = -3.98.
  • b - 16a = -16 -> b = 0.

Hence the other two factors are given as follows:

x² - 3.98 = 0

x = ± sqrt(3.98)

x = ± 1.995.

The linear factors are:

(x - x')(x - x'')(x - x''')(x - x'''').

In which x', x'', x''' and x'''' are the roots.

The solutions to f(x) = 0 are the roots.

More can be learned about the zeros of a polynomial at brainly.com/question/19030198

#SPJ1

3 0
1 year ago
Mount Everest is 8848 above sea level. Death valley is 86m below sea level. What is the difference in the elevation between the
Alex17521 [72]

8848 - (-86)

8848 + 86 = 8934

There is an 8934 foot difference.

5 0
3 years ago
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