Answer:
If a line is perpendicular to another line, that means that the slope is completely opposite that of the original line. The first thing that we do to the slope is we negate the number which means that if we have a slope of
our slope because
in this step. In our case our slope is
so in this step it becomes
.
Moving onto the second part which is to get the reciprocal of the number which means that if we have
then we would switch it to
. In our case our number is
so we would make that into a fraction like this
.
In conclusion, our final slope of the perpendicular line is
.
<u><em>Hope this helps! Let me know if you have any questions</em></u>
Answer:
(2×3)¹
(11×1)¹
Step-by-step explanation:
2×3=6 so 2 to the power 1 is 2 and 3 to the power 1 is 3 so 2×3=6
11×1=11 so 11 to the power 1 is 11 and 1 to the power 1 is 1 so 11×1 =11
Answer: 30 degrees
Step-by-step explanation: Vertical angles are always congruent. If Angle A and Angle B are vertical then they are equal to each other. They both will way thirty degrees.
Answer:
49% and 30% respectively
Step-by-step explanation:
Step one:
Given data
Principal = Rs. 4,200
Final Amount= Rs. 9282 respectively
time = 2 years and
time = 4 years
Required
The rate of interest for 2 and 4 years
Step two:
the compound interest formula is
A= P(1+r)^t
for 2 years
Substitute


the rate is 49%
For 4 years we have

![1+r= \sqrt[4]{\frac{9282}{4500} } \\\\1+r=\sqrt[4]{2.21} \\\\1+r= 1.30\\\\r=1.30-1\\\\r= 0.30\\\\](https://tex.z-dn.net/?f=1%2Br%3D%20%5Csqrt%5B4%5D%7B%5Cfrac%7B9282%7D%7B4500%7D%20%7D%20%5C%5C%5C%5C1%2Br%3D%5Csqrt%5B4%5D%7B2.21%7D%20%20%5C%5C%5C%5C1%2Br%3D%201.30%5C%5C%5C%5Cr%3D1.30-1%5C%5C%5C%5Cr%3D%200.30%5C%5C%5C%5C)
the rate is 30%
Four-fiths its the same as 4\5, so u do like this: 20×(4/5)
=16 words