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Mariulka [41]
2 years ago
9

Verify that each equation is an identity. Show Work plzzz!!!

Mathematics
1 answer:
Morgarella [4.7K]2 years ago
3 0

sin^2(x)[csc^2(x)+sec^2(x)]=sec^2(x) \\\\[-0.35em] ~\dotfill\\\\ sin^2(x)[csc^2(x)+sec^2(x)]\implies sin^2(x)\left[\cfrac{1}{sin^2(x)}+\cfrac{1}{cos^2(x)} \right] \\\\\\ ~~\begin{matrix} sin^2(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ \left[\cfrac{cos^2(x)+sin^2(x)}{~~\begin{matrix} sin^2(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ cos^2(x)} \right]\implies \cfrac{1}{cos^2(x)}\implies sec^2(x)

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The table represents the metric volume measure of a liter. Each amount is represented by its power of 10.
solmaris [256]

Answer:

10000

Step-by-step explanation:

What is 10 to the 6th power? That would be 1000000. 10 to the second power is 100.

1000000

100

There are 4 zeros left. Meaning that the answer is 10000.

8 0
3 years ago
Solve -3 = x + x + x.
kozerog [31]
-3 = x + x + x
-3 = 3x
-3/3 = x
x = -1
6 0
3 years ago
Read 2 more answers
Anyone know? Will mark brainliest if correct!
almond37 [142]

Answer:

B

Step-by-step explanation:

using the two points, you can find the slop using rise over run. For every two up, you go three over to the left. Your slope is -2/3, which means the only possible answer is B

6 0
3 years ago
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The longer leg of a right triangle is 4cm longer than the shorter leg. the hypotenuse is 8cm longer than the shorter leg. find t
Alexeev081 [22]
Longer leg = x + 4

Shorter leg = x

Hypotenuse = x + 8


Using Pythagorean Theorem:

a^2 + b^2 = c^2

(x + 4)^2 + x^2 = (x + 8)^2

x^2 + 8x + 16 + x^2 = x^2 + 16x + 64

2x^2 + 8x + 16 = x^2 + 16x + 64

2x^2 +8x = x^2 + 16x + 48

2x^2 - 8x = x^2 + 48

x^2 - 8x = 48

x^2 - 8x - 48 = 0

You can complete the square from here or use the quadratic formula.

Completing the square:

x^2 - 8x = 48

x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2

x^2 - 8x + 16 = 48 + 16

(x - 4)(x - 4) = 64 or (x - 4)^2 = 64

x - 4 = +√64 OR x - 4 = -√64

x - 4 = +8 OR x - 4 = -8

x = 12 OR x = -4

However, you can't use negative 4 as a length because your length needs to be a positive.

So x will be 12.


Shorter leg: 12

Longer leg: 12 + 4

Hypotenuse: 12 + 8

8 0
3 years ago
(ab² + 13b - 4a) + (3ab² + a +7b)
Natalija [7]

Answer:

4ab² + 20b - 3a

Step-by-step explanation:

This question most likely asks us to simplify the expression, as factoring is not possible...

(ab² + 13b - 4a) + (3ab² + a + 7b),

ab² + 13b - 4a + 3ab² + a + 7b,

ab² + 3ab² + 13b + 7b - 4a + a,

Solution : 4ab² + 20b - 3a

4 0
3 years ago
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