When developing a plan for a proof, it is important to look at the "given" information. True False

Answers

Answer 1

Answer:

Yeah true

Step-by-step explanation:

Because it makes sense

Answer 2

It is true that when developing a proof, focusing on the "given" information is crucial as it forms the foundation of the logical argument leading to the conclusion that needs to be proven.

When developing a plan for a proof, it is indeed important to look at the "given" information. This is true because in the context of mathematical proofs, the "given" information represents the starting point from which you will build you argument to reach a conclusion. These are the facts, definitions, or previously proven theorems that can be used in establishing the validity of the statement you are tasked to prove.

To develop a successful proof, one generally follows a systematic approach:

Identify the given information in the problem.Analyze what the problem is asking you to find or prove.Consider what principles, theorems, or rules apply based on the given information.Develop a logical sequence of steps that connects the given information to the conclusion you are trying to reach.

This structured approach to problem-solving involves using what you know to logically arrive at a conclusion that was previously unknown or needs to be proven. This method not only applies to mathematics but also to other fields that require logical reasoning and evidence-based conclusions.


Related Questions

Jackie purchased 4 cupcakes for $4.50 each. There was a 10% sales tax on her total order. How much did she pay for her order?

Answers

4 x $4.50 to find out how much she paid for all four together

$18 for 4 cupcakes.

now multiply $18 by .10

$1.80

add $18 and $1.80 to find total

$19.80

What is the sum of the first ten terms of the sequence 4, -12, 36, -144 ...?

Answers

Answer:

−19810916

Step-by-step explanation:

plz vote my answer the brainiest, i rlly need it thanks!

hope this helps!

Final answer:

The sequence given is a geometric sequence with a common ratio of -3. The sum of the first ten terms of the sequence is calculated using the formula for the sum of a geometric series to be -236196.

Explanation:

The sequence given, 4, -12, 36, -144, ..., is actually a geometric sequence. In a geometric sequence, each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio. In this sequence, the common ratio is -3.

To find the sum of the first n terms in a geometric sequence, we use the formula: S_n = a(1 - r^n) / (1 - r), where S_n is the sum of the first n terms, a is the first term in the sequence, r is the common ratio, and n is the number of terms.

If we insert our values into formula, we get: S_10 = 4*(1 - (-3)^10) / (1 - (-3)), which results in S_10 = -236196.

So, the sum of the first ten terms of the sequence is -236196.

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A sweater that regularly sold for $52 is now on sale at 30% off. What is the sale price?



Answers

Answer:

Step-by-step explanation:

What you have to do is set it up like this

what you have to do is

(30*52) ÷ 100=x

1664 ÷ 100= 16.64

52-16.64= 35.36

35.36 is the new sale price

Please help somehow with graphing, I'm very very confused!

Answers

Ok, so first, the y-intercept is always the last number. So the y-intercept for the first equation would be -1, and for the second equation, 4.

Put a dot, or a point on -1and 4 on the graph.

The slope is always he number with an x.

So the slope would be 3 for the first equation.

And the slope for the 2nd equation would be -2.

If the slope doesn't have a denominator, put 1 as it's denominator.

So, 3x would turn into

[tex] \frac{3x}{1} [/tex]

And -2x would turn into

[tex] \frac{ - 2x}{1} [/tex]

So the rule for slope is:

[tex] \frac{rise}{run} [/tex]

So, go to your -1, and go up 3 and 1 right. Keep doing that until you reach the end of the graph.

Now, go to your -4, go down 2 and go left 1. Keep doing that until you reach the end of the graph.

Now, draw the lines.

I'll show on piece of paper how to do this if you dont get the explanation I gave.

Please help (thanks)
A. 6
B. 7
C. 8
D. 9

Answers

B It would be 7 because 27 it’s right befor 28!

Answer:

C 8

Step-by-step explanation:

To find the interquartile range take the third quartile (the right line of the box) and subtract the first quartile (the left line of the box)

33-25 = 8

shade in circles and write equivalent fractions 3/6​

Answers

Answer:

A fraction that would be equivalent to 3/6 would be 1/2, therefore a shaded circle would be half of a circle.

Step-by-step explanation:

Look at the picture.

Divide the circle to six congruent pieces. Shade three pieces.

Equivelent fractions:

[tex]\dfrac{3}{6}=\dfrac{3:3}{6:3}=\dfrac{1}{2}\\\\\dfrac{3}{6}=\dfrac{3\cdot2}{6\cdot2}=\dfrac{6}{12}\\\\\dfrac{3}{6}=\dfrac{1}{2}=\dfrac{1\cdot2}{2\cdot2}=\dfrac{2}{4}\\\vdots[/tex]

The dot pot shows the number of miles Zac ran each day

Answers

Answer:

could you specify the question because im not sure what it is??

Which monomials are divisible by -12?
A. 12a^5
B. -18b^3
C. None of the above

Answers

A. 12a^5 is the answer

simplify the equation (-5-c) (-1)

a.) 5-c
b.) 5+c
c.) -5-c
d.) -5+c

Answers

-1(-5-c)

-1*-5=5

-1*-c=c

:5+c

Answer:

d) 5 + c

Step-by-step explanation:

We know:

(-)(-) = (+)

(+)(+) = (+)

(-)(+) = (+)(-) = (-)

We have (-5 - c)(-1)   use the distributive property a(b + c) = ab + ac

= (-5)(-1) + (-c)(-1) = 5 + c

The function f(x)=x^2 and its transformation f(x)=(x-k)^2 are shown below. What is the value of k?

Answers

Answer:

f(x - k) = (x - k)²⇒ k = 5

Step-by-step explanation:

f(x) + n - shift the graph n units up

f(x) - n - shift the graph n units down

f(x - n) - shift the graph n units to the right

f(x + n) - shift the graph n units to the left

==============================================

Look at the picture.

The graph has been shifted 5 units to the right.

Therefore we have f(x - 5).

use the graph of the polynomial function to find the factored form of the related polynomial. Assume it has no constant

Answers

Answer:

The correct answer is B) (x + 4)(x - 4)

Step-by-step explanation:

We can tell this since it crosses the x axis at 4 and -4. This means we need parenthesis that gives us these two values.

Answer:

B (x+4)(x-4)

Step-by-step explanation:

when using FOIL to unfactor this, the bx term is equal to 0, hence why it is at 0 as the x value

What is the slope of the line l described by the equation below? y=-2x+4

Answers

Answer:

The slope of the line would be -2.

Step-by-step explanation:

Because the equation is a line, the slope is the same throughout the entire graph on the equation.

Lets let f(x)=y=-2x+4.

f(0) = -2(0) + 4 = 4

f(0)=4

f(1) = -2(1) + 4 = 2

f(1)=2

Use the equation to find slope.

m(slope) = [tex]\frac{2-4}{1-0}[/tex] = [tex]\frac{-2}{1}[/tex] = -2

The slope would be -2.

Or:

Use the equation y = mx + b where m=slope.

In the equation y=-2x+4, m=-2.

The slope is -2.

Answer:

y = -2x + 4 slope is -2

Step-by-step explanation:

that's what I got

John drew a polygon with 2 line segments that meet to form a right angle.

Answers

Answer:

Step-by-step explanation:

Two lines that intersect and form right angles are called perpendicular lines. The symbol ⊥ is used to denote perpendicular lines.

what is the area of a square when the side length is 2/3cm

Answers

[tex]\bf \textit{area of a square}\\\\ A=s^2~~ \begin{cases} s=length~of\\ \qquad a~side\\[-0.5em] \hrulefill\\ s=\frac{2}{3} \end{cases}\implies A=\left( \cfrac{2}{3} \right)^2\implies A=\cfrac{2^2}{3^2}\implies A=\cfrac{4}{9}[/tex]


16)
If a parachutist jumped from an airplane flying at an altitude of 10,000 feet and fell at an average free fall speed of 158 feet per second for 17 seconds, what impact will it have on the altitude of the parachutist?
A) -2,686 feet
B) -2,669 feet
C) 2,669 feet
D) 2,686 feet

Answers

I think the answer is D

Answer:

The answer is A

Step-by-step explanation:

First multiply 158 by 17 and you get 2,686 and since your falling it will be going down making it a negative

What is the measure of arc WX in the diagram below ?

Answers

Your answer would be 45

The measure of the arc WX is 26 degrees.

What is the secant of the circle?

A secant is a line that intersects a circle in exactly two pints. When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one half the positive difference of the measure of the intercepted arcs.

According to the given question.

WSX is a secant angle.

TR and WX are intercepted arcs.

Therefore, by the secant of the circle formula

[tex]\frac{1}{2} (116^{o} -WX) = 45^{o}[/tex]

[tex]\implies 116^{o} -WX = 90^{o}[/tex]

[tex]\implies WX = 116^{o} -90^{o}\\ \implies WX = 26^{o}[/tex]

Hence, the measure of the arc WX is 26 degrees.

Thus, option B is correct.

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Help on number four please?​

Answers

Answer:

49

Step-by-step explanation:

Bisection means that the angle is divided exactly in half.

All you have to do it divide 98/2 to find the angle measure of MVP

That number is 49.

Hey im struggling i need help pleaseee

Answers

Answer:

D

Step-by-step explanation:

The opposite angles of the inscribed quadrilateral are supplementary

∠A + ∠C = 180 and ∠B + ∠D = 180

∠B + ∠D = 93 + x + 30 = x + 123, hence

x + 123 = 180 ( subtract 123 from both sides )

x = 57 → D

What are the possible values for p in the equation below? Check all that apply. |p| = 12

Answers

-12 and 12

Absolute value is the distance a number is from zero. Only two numbers are 12 away from zero on a number line, and those are -12 and 12.

Answer:

A and F

Step-by-step explanation:

There are 25 lettuce plants. If you split them equally among 5 rows, how many lettuce plants are in each row? and it wants me to pick three anwers

Answers

Answer:

If there are 25 lettuce plants, and five rows you split the 25 among the five rows giving you 5  lettuce plants per row.

Step-by-step explanation:

25 / 5 = 5

Consider the polinomial function (x+3) (x+9) (x-6)=0. Which of the following are zeros of the function ? Select all the apply

Answers

Answer:

The zeros are -9,-3,6

Step-by-step explanation:

(x+3) (x+9) (x-6)=0.

We can use the zero product property

x+3 =0    x+9 =0     x-6 =0

x = -3      x = -9         x=6

The zeros are -9,-3,6

the volume of a box (V) varies directly with its length (l). if one of the boxes has a volume of 288 cubic inches and a length of 12 inches, what is the constant proportionality for the group of boxes

Answers

ANSWER

The constant of proportionality is 24.

EXPLANATION

If the volume of a box (V) varies directly with it's length (l), then we can write the mathematical statement,

[tex]V\propto l[/tex]

We introduce the constant of proportionality k, and write the equation,

[tex]V = k l[/tex]

When V=288, l=12.

We substitute these values to obtain;

[tex]288 = 12k[/tex]

Divide both sides by 12,

[tex]k = \frac{288}{12} =24 [/tex]

Answer: 24

Step-by-step explanation: got it righ

About​ ______% of the area is between zequalsminus1 and zequals1 ​(or within 1 standard deviation of the​ mean).

Answers

Final answer:

According to the empirical rule, about 68% of the data in a normal distribution is within one standard deviation of the mean, which corresponds to z-scores between -1 and 1.

Explanation:

The question is about the percentage of data found within certain ranges of standard deviations from the mean in a normal distribution, as represented by z-scores. Specifically, it refers to the proportion of data within one standard deviation (z-scores between -1 and 1). According to the empirical rule (also known as the 68-95-99.7 rule), about 68% of the data in a normal distribution is within one standard deviation of the mean.

So, about 68% of the area is between z=-1 and z=1 (or within 1 standard deviation of the mean). This empirical rule is a quick way to estimate the spread of data in a normal distribution and is useful for various statistical analyses.

if a cylindrical glass with a radius of 3 , height of 8 centimeters . of the glass is 60% fool of soda how many cubic centimeters of soda are in the glass?

Answers

43.2pi cubic centimeters (about 135.648)



First, find the volume of the glass using the formula (pi)r^2*h.

pi * 3^2 * 8

pi * 9 * 8

72pi

Now, find 60% of that by multiplying by 0.6.

72pi * 0.6

43.2pi

If you want, you can estimate the answer by using 3.14 as pi.

43.2 * 3.14

135.648

What are the roots of the polynomial equation x^3 - 7 x = 6x - 12

Answers

Answer:

x(roots)  = 3, 1, -4.

Step-by-step explanation:

Find the roots by solving for x.

Hope this helps,

Davinia.

x^3 - 7x = 6x -12

Subtract 6x from both sides:

x^3 - 13x = -12

Add 12 to both sides:

x^3 - 13x +12 = 0

Factor the left side:

(x-3) (x-1)(x+4) = 0

Now solve for x in each set of parenthesis so they all equal 0:

x = 3

x = 1

x = -4

The roots are 3,1, -4

What time and day will it be
154hr 36 mins after Thursday 1:26pm?

Answers

Final answer:

The time and day that will be 154 hours and 36 minutes after Thursday 1:26pm is Thursday at 8:02pm.

Explanation:

To determine the day and time that will be 154 hours and 36 minutes after Thursday 1:26pm, we need to perform some calculations:

Add 154 hours to the given time of 1:26pm. This gives us a new time of 7:26pm on the same day.Next, add 36 minutes to the new time of 7:26pm. This gives us a final time of 8:02pm on the same day.Since the question asks for the day as well, the answer would be the same Thursday, with a time of 8:02pm.

Therefore, it will be Thursday at 8:02pm 154 hours and 36 minutes after Thursday 1:26pm.

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please help me this is urgent

Answers

Answer:

99.9

Step-by-step explanation:

what is f(-8) equal to......Please correct​

Answers

Answer:

Your answer is incorrect. Correct answer is f(-8) = -3

Step-by-step explanation:

[tex]f(x)=\dfrac{x+2}{2}\\\\f(-8)\to\text{put x = -8 to the equation of the function}\ f:\\\\f(-8)=\dfrac{-8+2}{2}=\dfrac{-6}{2}=-3[/tex]

Final answer:

The value of f(-8) refers to the result of a function, f(x), when x equals -8. However, without the specific function, we cannot provide an exact value.

Explanation:

To determine the value of f(-8), we need to know the function f(x). In mathematics, f(-8) typically refers to the value of a function, denoted as f(x), at x=-8. For instance, if we have the function f(x) = x^2, then f(-8) would equal to (-8)^2, which is 64. However, without knowing the specific equation for f(x), we cannot provide the exact answer for f(-8).

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Translate answer T^2=A^3 into words

Answers

Answer:

T to the power of two equals A to the power of 3

~batmans wife dun dun dun...aka ~serenitybella

Answer:

Step-by-step explanation:

Té al cuadrado es igual a A al cubo.

The sum of two numbers is 55 and the difference is 7. What are the numbers?

larger number:
smaller number:


Answers

Answer:

31

24

Step-by-step explanation:

the larger number is 31 and the smaller number is 24 :)

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