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3 years ago

If you are solving the equation by factoring, which of the following equations would you use the zero product property on?

Mathematics

1 answer:

Artist 52 [7]3 years ago

8 0

Answer:

(x + 5)(x + 10) = 0

Step-by-step explanation:

When you solve for the equation: $\frac{1}{x-4}-\frac{14}{x+2}+1=0$ , you get that the answer is $x=10,\:x=5$ .

<em>Hope this helped!!</em>

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Is 16% of 40 the same as 40% of 60? Explain your reasoning.

o-na [289]

No 16% of 40 is 32/5 where 40%of 60 is 24.
Hope this helps.

6 0

3 years ago

Read 2 more answers

Solve for a 2a + ab = b

amid [387]

Answer: a= b/ b+2

Step 1: factor out variable a.

a(b+2)= b

Step 2: divide both sides by b+2.

a(b+2)/ b+2 = b/b+2

6 0

3 years ago

Prove the trigonometric identity

Annette [7]

Answer:

Proved See below

Step-by-step explanation:

Man this one is a world of its own :D Just a quick question are you a fellow Add Math student in O levels i remember this question from back in the day :D Anyhow Lets get started

For this question we need to know the following identities:

$1+tan^{2}x=sec^2x\\\\1+cot^2x=cosec^2x\\\\sin^2x+cos^2x=1$

Lets solve the bottom most part first:

$1-\frac{1}{1-sec^2x} \\\\$

Take LCM

$1-\frac{1}{1-sec^2x} \\\\\frac{1-sec^2x-1}{1-sec^2x} \\\\\frac{-sec^2x}{1-sec^2x} \\\\\frac{-(1+tan^2x)}{-tan^2x}$

now break the LCM

$\frac{-1}{-tan^2x}+\frac{-tan^2x}{-tan^2x}\\\\\frac{1}{tan^2x}+1\\\\cot^2x+1$

because 1/tan = cot x

and furthermore,

$cot^2x+1\\cosec^2x$

now we solve the above part and replace the bottom most part that we solved with $cosec^2x$

$\frac{1}{1-\frac{1}{cosec^2x} } \\\\\frac{1}{1-sin^2x} \\\\\frac{1}{cos^2x}\\\\sec^2x$

Hence proved! :D

4 0

3 years ago

Which of the following quadrilaterals have diagonals that are perpendicular to each other? Check all that apply.

mars1129 [50]

Answer: Option B and option D.

Step-by-step explanation:

We know that a quadrilateral is a 2-dimensional closed shape that has four sides.

By definition the diagonals of a quadrilateral are the lines that connect two non-adjacent vertices.

The following quadrilaterals have diagonals that are perpendicular to each other (also known as perpendicular bisector diagonals), which means that they form four angles of 90 degrees (right angles): <em>Rhombus and Square.</em>

Therefore the answers are: the option B and the option D.

4 0

3 years ago

1.Which equation gives the direct variation if y=8 when x=2?

Mama L [17]

First one is y=4x and the second one is y=2x

3 0

3 years ago