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weqwewe [10]
3 years ago
15

Log4 x + log4(x-12)= 3

Mathematics
1 answer:
stellarik [79]3 years ago
6 0
             <span> log4(x+12)+log4x=3
log4(x(x+12))=3
log4(x^2+12x)=3
4^3=x^2+12x
64=x^2+12x
x^2+12x-64=0
(x+16)(x-4)=0
x=4 </span>
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The value of the expression 23 +32–3x4–52-5+(7x4) is
Mashcka [7]

Answer:

24

Explanation:

(23+32)-(3×4)-(52-5)+(7×4)

(55)-(12)-(47)+(28)

  • 55-12=43
  • -47+28= -19
  • 43-19=24
4 0
3 years ago
Stardust the unicorn, covered a distance of 50 miles on his first trip to the forest. On a later trip he travelled 300 miles whi
timama [110]
For this case, the first thing we must take into account is the following definition:
 d = v * t
 Where,
 d: distance
 v: speed
 t: time
 Substituting values we have:
 Trip 1:
 
50 = v * t1
 We cleared t1:
 t2 = (50) * (1 / v)
 Trip 2:
 
300 = (3 * v) * t2
 We cleared t2:
 t2 = (300/3) * (1 / v)
 t2 = (100) * (1 / v)
 Rewriting:
 t2 = 2 (50) * (1 / v)
 t2 = 2 * t1
 Answer:
 
His new time compared with the old time was:
 
Twice the old time.
 
t2 = 2 * t1.
4 0
3 years ago
1. Which of the following is NOT true about an isosceles trapezoid?
viktelen [127]
On an isosceles trapezoid, the two sides that are not parallel to each other will be exactly the same length.  If this is true, than it would be create a symetric trapezoid.  The diagonals would be the same length.  The bases of any trapezoid are parallel, so this is true.  The diagonals cannot possibly be perpendicular because the 2 nonparallel sides would be slanted.  So, the answer is the 3rd choice.
5 0
3 years ago
A prism with a triangular base has a volume of 432 cubic feet. The height of the prism is 8
Rashid [163]

Answer:

9 feet

Step-by-step explanation:

Given:

A prism with a triangular base has a volume of 432 cubic feet.

The height of the prism is 8.

The triangle base has a base of 12 feet.

Question asked:

The height of the triangular base of the prism = ?

solution:

Volume of  triangular prism = Area of triangle \times height

432 = Area of triangle \times8

Dividing both side by 8

54 = Area of triangle

54 =  \frac{1}{2} \times base \times height

54 = \frac{1}{2} \times12\times height\\54 = \frac{12}{2} \times height

Multiplying both side by 2

108 = 12 \times height

Dividing both side by 12

9 = height

Thus, height of the triangular base of the prism is 9

3 0
2 years ago
Which is a counterexample that disproves the conjecture? After completing several multiplication problems, a student concludes t
Dahasolnce [82]
When you make the product of a binomial of the kind x + a times other binomial that is of the kind x - a, you obtain another binomial (not a trinomial), so any example with that form will be a counterexample that disproves the conjecture:

(x + a) * (x - a) = x^2 - a^2

For example, (x +3) * (x - 3) = x^2 - 9. So, not always the product of two binomials is a trinomial.
5 0
3 years ago
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