Answer:
Prime
Step-by-step explanation:
x² + 25 is prime (unfactorable).
Here's what the other options come out to:
(x + 5)(x + 5) = x² + 10x + 25
(x + 5)(x − 5) = x² − 25
(x − 5)(x − 5) = x² − 10x + 25
<h2>
Range of x </h2><h3>
and x>6</h3><h3>
Step-by-step explanation:</h3>
Given AB = 4x + 5, BC = 3x - 2 and AC 9x -5
The sum of the length of any two sides of a triangle is greater than the length of third side.
Case I
AB + BC > AC
⇔4x +5 +3x -2 > 9x -5
⇔7x + 3 >9x - 5
⇔ 7x -9x > -5 -3
⇔-2x > -8
⇔x <4
Case II
if AB+AC > BC
4x +5 +9x -5> 3x -2
⇔13x >3x -2
⇔ 13x -3x> -2
⇔10x > -2
⇔x >
Case III
AC+BC > AB
⇔9x - 5 +3x - 2 > 4x +5
⇔6x -7 > 4x +5
⇔6x -4x >5+7
⇔2x > 12
⇔x > 6
Answer:
5 pounds
Step-by-step explanation:
the volume of the container = 2*1.5*3.5= 10.5cubic foot.
Density of the content = 0.49 pound per cubic foot.
As already know,
Density = mass/ volume.
therefore, mass = density * volume.
mass of the content = 0.49 * 10.5 =5 pounds approximately
Answer:
Throw a die
Every number on the die represents one of the 6 prizes
The amount of times you throw the die describes the number of boxes you need.
Step-by-step explanation:
Answer:
- Two unique triangles possible
Step-by-step explanation:
Given two sides of 10 cm and one 40° angle
<u>If we use these, we'll get isosceles triangle with:</u>
1. Included 40° angle.
<u>Then the other angles will be same and measure:</u>
2. Adjacent 40° angle. Then one of the angles must be 40° angle as opposite of 10 cm sides.
<u>The remaining angle will measure:</u>
There no more unique triangles possible, so the answer is two.
