Answer:
-1/5
Step-by-step explanation:
When a line is perpendicular to another line, it's gradient will be a reciprocal.
To calculate the reciprocal of a number you have to flip the fraction the other way around.
So, in the case our current gradient is 5/1 (5/1 is the same as just 5) and we need to flip in over to get 1/5, which is our new gradient.
The final step is to make the number negative because the line is going down. This gives us the final answer of -1/5.
Answer:
Add
2
π
to
−
15
π
2
.
−
15
π
2
+
2
π
The resulting angle of
−
11
π
2
is coterminal with
−
15
π
2
but isn't positive. Repeat the step.
−
11
π
2
Add
2
π
to
−
11
π
2
.
−
11
π
2
+
2
π
The resulting angle of
−
7
π
2
is coterminal with
−
15
π
2
but isn't positive. Repeat the step.
−
7
π
2
Add
2
π
to
−
7
π
2
.
−
7
π
2
+
2
π
The resulting angle of
−
3
π
2
is coterminal with
−
15
π
2
but isn't positive. Repeat the step.
−
3
π
2
Add
2
π
to
−
3
π
2
.
−
3
π
2
+
2
π
The resulting angle of
π
2
is positive and coterminal with
−
15
π
2
.
π
2
Step-by-step explanation:
zorry if im wrong
Answer: 1year, 3 months
Step-by-step explanation:
According to the question,
Principle = Rs 3000
Amount = Rs 4234
Rate = 9% = 9/100 = 0.09
Time = n.
From the Formula:
P( 1 + r )ⁿ = A
A => P ( 1 + r)ⁿ
A=> 3000( 1 + 0.09 )ⁿ
4234=> 3000 ( 1 + 0.09 )ⁿ
Divide both sides by 3000
1.41 = (1.09)ⁿ
Divide both sides by 1.09
n = 1.29 approximately 1.3
Therefore, a sum of Rs.3000 amount to Rs.4234 at 9% pa compounded annually in 1 year, 3 months.
I hope this helps.
Answer:
x = 25°
Step-by-step explanation:
The 2 angles are vertical angles and are congruent , then
2x + 100 = 150 ( subtract 100 from both sides )
2x = 50 ( divide both sides by 2 )
x = 25°
The simplified expression of 4x + 5xy - 2y is 4x(1 + y) + y(x - 2)
<h3>How to solve the expression?</h3>
The expression is given as:
4x + 5xy - 2y
The above expression cannot be solved.
However, the expression can be grouped
So, we have:
4x + 5xy - 2y
Rewrite 5xy as 4xy + xy
So, we have:
4x + 5xy - 2y = 4x + 4xy + xy - 2y
Factorize the expression
4x + 5xy - 2y = 4x(1 + y) + y(x - 2)
Hence, the simplified expression of 4x + 5xy - 2y is 4x(1 + y) + y(x - 2)
Read more about expressions at:
brainly.com/question/723406
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