Step-by-step explanation:
m=5/7
m1=m2=5/7
L;y-(-2)=5/7(x-(-5)
y+2=5/7(x+5)
7y+14=5X+25
7y-5x=11 is parallel lines
m1*m2=-1 is perpendicular lines
m2=-1*7/5
m2=-7/5
L;y+2=-7/5(x+5)
5Y+10=-7x-35
5y+7x=-45 is perpendicular lines
Answer:
20
Step-by-step explanation:
According to the question,five over 25 divided by 100
Can also be written as
5/25/100
So
5/25×100
1/5 ×100
20
So the final answer is 20
Step-by-step explanation:
The total probability that the DeLorean makes the trip is:
P = P(engine) × P(at least 1 time circuit) × P(at least 2 capacitors)
P = P(engine) × (1 − P(0 time circuits)) × P(at least 2 capacitors)
P = 0.94 × (1 − ₄C₀ 0.75⁰ 0.25⁴) × (₃C₂ 0.8² 0.2¹ + ₃C₃ 0.8³ 0.2⁰)
P = 0.94 × (1 − 0.25⁴) × (0.384 + 0.512)
P = 0.83895
The reliability of the DeLorean is approximately 83.9%.
Answer:
Options (1), (3) and (5)
Step-by-step explanation:
Equation that represents the relationship between the three sides of a triangle is,
a² + b² = c²
Where c = longest side of the triangle
If the length of the given sides satisfy the equation, triangle formed by the sides will be a right triangle.
Option A.
27 in, 36 in, 45 in
(45)² = (27)² + (36)²
2025 = 729 + 1296
2025 = 2025
True.
Option 2.
18 in, 22 in, 28 in
(28)² = (18)² + (22)²
784 = 324 + 484
784 = 808
False.
Option 3
10 in, 24 in, 26 in
(26)² = (10)² + (24)²
676 = 100 + 576
676 = 676
True.
Option 4
20 in, 21 in, 31 in
(31)² = (20)² + (21)²
961 = 400 + 441
961 = 841
False.
Option 5
28 in, 45 in, 53 in
(53)² = (28)² + (45)²
2809 = 784 + 2025
2809 = 2809
True.
Therefore, Options (1), (3) and (5) will be the correct options.
Answer:
D is 107 and E is 38
Step-by-step explanation:
20x+40=180
20x=140
X=140/20
x=7
M<A=5(7)+3
38
m<a=m<e
15(7)+2
107
m<b=m<d