Let "a", "b" and "с" be sides of the triangle ("с" is the longest side).
The triangle will be:
right if a² + b² = c²
аcute if a² + b² > c²
obtuse if a² + b² < c²
a.
a=3, b=4 and c=5
a² + b² = 3² + 4² = 9 + 16 = 25 and c² = 5² = 25
25 = 25 ⇒ right triangle.
b.
a=5, b=6 and c=7
a² + b² = 5² + 6² = 25 + 36 = 61 and c² = 7² = 49
61 > 49 ⇒ аcute triangle.
c.
a=8, b=9 and c=12
a² + b² = 8² + 9² = 64 + 81 = 145 and c² = 12² = 144
145 > 144 ⇒ аcute triangle.
Answer:
Answer : 1,3,5,15
Step-by-step explanation:
The factors of 15.
Answer:
The equation of the line would be y = 2x + 8
Step-by-step explanation:
In order to find the equation of the line, we first need to find the slope of the original line. We can do that by solving for y.
14x - 7y = 1
-7y = -14x + 1
y = 2x - 1/7
Now that we have a slope of 2, we know the new slope will be the same since parallel lines have the same slope. So we can use it along with the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 4 = 2(x + 2)
y - 4 = 2x + 4
y = 2x + 8
Answer:
9 weeks
Step-by-step explanation:
9514 1404 393
Answer:
b. 60
Step-by-step explanation:
The list of factors is 2, 3, 5, 7. The list of common factors is 2, 3, 5. The lowest exponents on those factor are ...
2^2 × 3^1 × 5^1 = 60
The GCF of 720 and 2100 is 60.
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<em>Additional comment</em>
You can verify this using Euclid's method of finding the GCF.
2100/720 = 2 r 660
720/660 = 1 r 60
660/60 = 11 r 0 . . . . 60 is the GCF
Find the remainder from the division. If it is zero, the divisor is the GCF. If it is non-zero, replace the largest number with the remainder, and repeat.
