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zepelin [54]
3 years ago
8

Find the slope perpendicular to the line 21y=-4x

Mathematics
1 answer:
Alexxx [7]3 years ago
4 0

Answer:

21/4

Step-by-step explanation:

21 y = -4x           Divide 21 on both sides

y = -4/21x            Slope is -4/21

Perpendictulare lines have a slope that are the negative inverses of eachother, so flip the 4 and the 21 and make it positve instead of negative

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A^2(64a^2-3)/3=27-4a^2/4
frutty [35]
The answer is a = 3/4 = 0.75

First get rid of the paranthesis,
{a}^{2} (64 {a}^{2}  - 3) = 64 {a}^{4} -  3 {a}^{2}
Then set the denominators equal:
\frac{ 256 {a}^{4}  - 12 {a}^{2}}{12}  =  \frac{81 - 12 {a}^{2} }{12}
Then remove the denominators and solve:
256 {a}^{4}  - 12 {a}^{2}  = 81 - 12 {a}^{2}
Eliminate -12a^2 by adding 12a^2 to both sides:
256 {a}^{4}  = 81
Take the fourth root of them or take the square root twice:
\sqrt[4]{256 {a}^{4} }  =  \sqrt[4]{81}   \\  4a = 3
Divide both sides by 4:
a =  \frac{3}{4}  = 0.75
7 0
3 years ago
Let’s try another one. A bag contains 36 red, 48 green, 22 yellow, and 19 purple blocks. There are 125 blocks in the bag. You ch
kati45 [8]
Theoretical probability (TP) is given by:
TP=[Number of favorable (desired) outcomes]/[Total number of possible outcomes]
From the information given:
Number of purple blocks=19
Total number of possible outcomes=125
thus;
TP=19/125
    =0.152
6 0
3 years ago
4. If you have earned income, which of the following retirement devices must you contribute to, by law?
Svetradugi [14.3K]
Social security. (FICA)
5 0
3 years ago
A boat is 60m from the base of a lighthouse. The angle of depression between the lighthouse and the boat is 37°. How tall is the
LekaFEV [45]

Answer: 34.64 m

Step-by-step explanation:

Given: A boat is 60 m from the base of a lighthouse.

The angle of depression between the lighthouse and the boat is 37°.

By using trigonometric ratios :

\tan x=\dfrac{\text{Side opposite to }x}{\text{Side adjacent to }x}

here x= 37°, side opposite to x = height of lighthouse (h) , side adjacent to x = 60 m

\tan 37^{\circ}=\dfrac{h}{60}\\\\\Rightarrow\ 0.57735=\dfrac{h}{60}\\\\\Rightarrow\ h= 60\times0.57735\approx34.64

Hence, the lighthouse is 34.64 m tall.

6 0
3 years ago
Write the decimal number in words 235.678
ValentinkaMS [17]
Two hundred thirty-five and six hundred seventy-eight thousandths
3 0
3 years ago
Read 2 more answers
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