Please i need help on this i’m stuck

Prove that: (1+cot^2x)tan^2x = sec^2x

timofeeve [1]

Answer:

Step-by-step explanation:

$1+cot^2x = csc^2x= \frac{1}{sin^2x}$

it becomes

$\frac{1}{sin^2x}*\frac{sin^2x}{cos^2x}=\frac{1}{cos^2x}=sec^2x$

Done

8 0

3 years ago

You went to Best Buy to purchase a new computer. You have a coupon for 20% off of

enyata [817]

Answer: $714.35

Step-by-step explanation: First, you have a coupon for 20% off. Next, Best Buy also have a promotion discount for an additional 15% off. After you add all the discounts, you will have 35% off. 35% of 1099 is 384.65, so you will take 384.65 off of the original price, 1099. 1099-384.65 is equal to $714.35

6 0

3 years ago

A six-sided number cube is tossed and a coin is flipped.

zhuklara [117]

4/6 numbers are greater than 2
1/2 chance of flipping heads
Multiply the two fractions together to get the probability
1/2*4/6=2/6=1/3
1/3 probability

4 0

4 years ago

Write a quadratic equation with the given roots. Write the equation in the form of ax^2+bx+c=0 where a b and c are integers

Bas_tet [7]

You haven't provided the required roots, but I can tell you how to do this kind of exercises in general.

If the $x^2$ coefficient is 1, i.e. the equation is written like $x^2+bx+c=0$ , then you can say the following about the coefficients b and c:

$b$ is the opposite of the sum of the roots
$c$ is the multiplication of the roots.

So, for example, if we want an equation whose roots are 4 and -2, we have:

$4+(-2) = 4-2 = 2 \implies b = -2$
$4 \cdot (-2) = -8 \implies c = -8$

So, the equation is $x^2-2x-8=0$

If your roots are rational, you can work like this: suppose you want an equation with roots 3/4 and 1/2. You have:

$\dfrac{3}{4}+\dfrac{1}{2} = \dfrac{3}{4}+\dfrac{2}{4} = \dfrac{5}{4} \implies b = -\dfrac{5}{4}$
$\dfrac{3}{4} \cdot \dfrac{1}{2} = \dfrac{3}{8} \implies c = \dfrac{3}{8}$

And so the equation is

$x^2 - \dfrac{5}{4} + \dfrac{3}{8} = 0$

In order to have integer coefficients, you can multiply both sides of the equation by 8:

$8x^2 - 10 + 3 = 0$

5 0

3 years ago

What is the definition of property of equality

AnnZ [28]

<u><em>Answer: Addition property of equality, Subtraction property of equality, Multiplication property of equality, and Division property of equality.</em></u>

Step-by-step explanation:

Addition property of equality is adding the same number to both sides of an equation does not change the equation.

a+c=b+c

Example: t-6=13

add 6 both sides of an equation.

t-6+6=13+6

answer: t=19

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Subtraction property of equality is subtracting the same number from both sides of an equation does not change the equation.

a-c=b-c

11=x+5

switch sides of equation

x+5=11

subtract by 5 both sides of an equation.

x+5-5=11=5

answer: x=6

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Multiplication property of equality is multiplying both sides of an equation by the same number does not change the equation.

a*c=b*c

t/5=3

example:

5/1*t/5=3*5

then multiply on the right side.

t=3*5

answer: t=15

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Division property of equality is dividing both sides of an equation by the same non-zero number does not change the equation.

a/c=b/c for c≠0

10a/10=130/10

divide by 10 both sides of an equation.

10a/10=130/10

simplify.

130/10=13

answer: a=13

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Hope this helps!

Thanks!

8 0

4 years ago