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3 years ago

True or false? To begin an indirect proof, you assume the converse of what you intend to prove is true.

Mathematics

1 answer:

djyliett [7]3 years ago

4 0

Answer:

The statement is false.

Step-by-step explanation:

To begin an indirect proof, you assume the converse of what you intend to prove is true. This is false.

Rather the correct answer is that to begin an indirect proof, you assume the inverse of what you intend to prove is true.

The converse can be either true or false, depending on what the original statement is, so assuming the converse is pointless.

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Determine the factors of 3x2 + 10x − 8. (Which is the right answer?)

VMariaS [17]

ANSWER

$(3x - 2)(x + 4)$

EXPLANATION

The given quadratic trinomial is

$3 {x}^{2} + 10x - 8$

Comparing to the general quadratic trinomial:

$a{x}^{2} + bx + c$

We have a=1, b=10 and c=-8

$ac = 3 \times - 8 = - 24$

The factors of -24 that adds up to 10 are -2 and 12.

We split the middle term to obtain;

$3 {x}^{2} + 12x - 2x- 8$

Factor;

$3x(x+ 4) - 2(x + 4)$

Factor further;

$(3x - 2)(x + 4)$

The last option is correct.

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3 years ago

An equilateral triangle has a perimeter of 48 cm. What is the area?

KiRa [710]

Answer:

$A=64\sqrt{3}\ cm^2$

Step-by-step explanation:

we know that

An <u><em>equilateral triangle</em></u> has three equal sides and three equal interior angles (each interior angle measure 60 degrees)

The perimeter is equal to

$P=3b$

where

b is the length side of the equilateral triangle

we have

$P=48\ cm$

substitute

$48=3b$

solve for b

$b=48/3\\b=16\ cm$

Find the area

The formula of area applying the law of sines is equal to

$A=\frac{1}{2}b^2sin(60^o)$

substitute the value of b

$A=\frac{1}{2}(16)^2sin(60^o)$

$sin(60^o)=\frac{\sqrt{3}}{2}$

$A=\frac{1}{2}(16)^2(\frac{\sqrt{3}}{2})$

$A=64\sqrt{3}\ cm^2$

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2 years ago

Alexi’s restaurant bill is $58, and he wants to leave a 20 percent tip. Which expression represents the total amount that Alexi

IRISSAK [1]

Answer:

58 dollars (0.20) + 58 dollars

Step-by-step explanation:

58 dollars (0.20) + 58 dollars

4 0

3 years ago

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6. Suppose you decide to make and sell silk flower arrangements. You spend $220.00 on materials. You sell each flower arrangemen

Gekata [30.6K]

The profit would you make if sold 23 silk flower arrangements be $21.5.

<h3>What is Unitary method?</h3>

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

spend on materials = 220

Price for each flower =10.50

If 23 flowers are sold price would be,

= 10.50*23

=241.5

Hence, the profit would be = 241.5-220

= $21.5

Learn more about unitary method here:

brainly.com/question/22056199

#SPJ1

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2 years ago

Select the function that represents the simple interest formula.

Anit [1.1K]

Answer:

D. A(n) = P + (n-1)i*P

Step-by-step explanation:

The formula to calculate the simple interest is:

$SI = \frac{Pnr}{100}$

Replace i by $\frac{r}{100}$ , then

SI = Pni

where n is the number of years.

So, for n-1 years, the simple interest is:

SI = P(n-1)*i

The Total amount is:

A(n) = P + (n-1)i*P

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3 years ago

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