David is 38 years old and his son Frank is 8. In how many years will David be twice as old as Frank?Write then Solve the equation

Answers

Answer 1
Answer: 22 years.
38+22=60
8+22=30
60 divided by 2 = 30

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Solve the equation. 6 = 2(x + 8)- 5x
a. 2/3
b. 3 1/3
c. - 2/3
d. -3 1/3

Answers

6 =2(x+8)-5x
6 =2x+16-5x
6-16=2x-5x
-10=-3x
10=3x
x=10/3
hence proved

Which expressions are equivalent to 16^x/4^x

Answers

16^1 = 4^2 16•1 = 4•4 16 = 16

What should be done to both sides of the equation in order to solve y + 8.5 = 17.2?

Answers

In order to solve for y, you would have to subtract 8.5 to both sides. Therefore, it would be y = 8.7. Good luck!

(x^-4)^5
please simplify the expression

Answers

(x ^(-4) )^(5)

Apply exponent rule :

(a^b)^c = a^ ^(b.c)

=x ^((-4)*5)

(-4)*5

= - 20

Apply exponent  rule :

a ^(-b) = (1)/(a^b)

= (1)/(x ^(20) )

hope this helps!

Factor completely 2x^2 − 2x − 40. 2(x − 5)(x 4) (2x − 10)(x 4) (x − 5)(2x 8) 2(x − 4)(x 5)

Answers

2x^2 - 2x - 40 = 2x^2 -10x + 8x - 40 = 2x(x - 5) + 8(x - 5)

= (x-5)(2x+8) = 2(x-5)(x+4)

Three copies of a triangle were rotated and positioned as shown. Which statement is always true about the angles in the figure?a. Angle a and angle b form a right angle
b. Angle a, angle b, and angle c, form a straight angle.
c. angle a, angle b, and angle c from a acute angle.
d. Angle a and angle c form a right angle

Answers



If the above image is the supposed image for this problem, then,

B. Angle A, Angle B, and Angle C, form a straight angle.

A straight angle is 180°. C A B found in the middle of the picture forms the 180° straight angle.

Right angle is an angle which is equivalent to 90°
Acute angle is an angle which has less than 90°

As I can observe, the three triangles have two equal sides and two equal angles. These triangles are identified as isosceles triangles.