Answer:
16/15
Step-by-step explanation:
Simplify the following:
8/3 - 8/5
Put 8/3 - 8/5 over the common denominator 15. 8/3 - 8/5 = (5×8)/15 + (3 (-8))/15:
(5×8)/15 + (3 (-8))/15
5×8 = 40:
40/15 + (3 (-8))/15
3 (-8) = -24:
40/15 + (-24)/15
40/15 - 24/15 = (40 - 24)/15:
(40 - 24)/15
| 3 | 10
| 4 | 0
- | 2 | 4
| 1 | 6:
Answer: 16/15
Answer:
6.68, 13.37, 14.95
Step-by-step explanation:
One of the legs is twice as long as the other.
b = 2a
The perimeter is 35.
35 = a + b + c
The triangle is a right triangle.
c² = a² + b²
Three equations, three variables. Start by plugging the first equation into the second and solving for c.
35 = a + 2a + c
c = 35 − 3a
Now plug this and the first equation into the Pythagorean theorem:
(35 − 3a)² = a² + (2a)²
1225 − 210a + 9a² = a² + 4a²
1225 − 210a + 4a² = 0
Solve with quadratic formula:
a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)
a = (210 ± √24500) / 8
a ≈ 6.68 or 45.82
Since the perimeter is 35, a = 6.68. Therefore, the other sides are:
b ≈ 13.37
c ≈ 14.95
Answer:
y = -1/3x + 4
Step-by-step explanation:
y = 3x +5
current slope m is 3, perpendicular is opposite inverse which is -1/3
Passing through (6,2):
y = mx + b
2 = -1/3(6) + b
2 = -2 + b
b = 4
Use the perpendicular m = -1/3 and b = 4 to form equation of line:
y = mx + b
y = -1/3x + 4
The sets to which the number -√3 belongs are:
D: Rational numbers.
E: Real numbers.
<h3>To which sets the number belong?</h3>
Here we have the number:
-√3
Notice that 3 is a prime number, and the square root of 3 is then an irrational number.
If it is an irrational number, it also is a real number (Remember that the real set contains all the numbers that are either rational or irrational). And because it has a negative sign, it is a negative number.
Then the correct options are:
D: Rational numbers.
E: Real numbers.
Concluding, the sets to which the number -√3 belongs are:
D: Rational numbers.
E: Real numbers.
If you want to learn more about irrational numbers:
brainly.com/question/20400557
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