Position and label each triangle on the coordinate plane.isosceles Δ A B C with base AB that is a units long

Answer:

Similarities: They both are polynomials of degree 2, both of their graphs is a parabola, both have either 2 or 0 real solutions, they are both continuous functions over R

(DOS= difference of two squares, PST=perfect square trinomial

Differences: PST has three terms, whereas the difference of squares has 2. PST's factors are both the same, whereas DOS's elements are conjugates of each other. DOS can always be factored into two distinct polynomials with rational coefficients, whereas PST has two same polynomial factors.

Step-by-step explanation:

For both graphs to be parallel, the value of a = -1/2.

If two graphs are parallel, their equation expressed in slope-intercept form y = mx + b, will have the same value of m which is the slope of the graphs.

Given, 4 = 3x + 6y, rewrite both equations in slope-intercept form:

4 = 3x + 6y

-3x + 4 = 6y

-3x/6 + 4/6 = 6y/6

-1/2x + 2/3 = y

y = -1/2x + 2/3 [slope (m) = -1/2]

This means that for both graphs to be parallel, the value of a = -1/2.

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Answer:

-4 smh

Step-by-step explanation:

ono edge

Answer:GCF = 6

Step-by-step explanation=Notice we have these factorizations

12 = 6*2

18 = 6*3

Which shows that 6 is the greatest common factor (GCF)

So,

12+18 = 6*2+6*3 = 6*(2+3)

We use the distributive property which is a(b+c) = ab + ac

I'll leave the 2+3 part un-simplified so that you can see the two original pieces, and how the 6 can multiply with them both to get back to 12+18 again.

original sum rewrites to 6(2+3)

Answer:

16/39

Step-by-step explanation:

1/3=13/39

1/13=3/39

13/39+3/39=16/39

Ilhan's average speed in the race is 11.03 miles per hour.

The average speed is a scalar measure of the total distance divided by the total time.

The average speed shows an object's displacement rate from one point to another.

Speed measures the rate of fastness, while the average speed shows the average rate of fastness of an object in movement.

The average speed is measured in magnitude without direction as a scalar quantity.

Beginning time for the race = 7:22 am

Ending time for the race = 8:07 pm

Time used = 12hours 45 minutes or 12.75 hours (8:07 pm - 7:22 am)

Swimming 2.4 miles

Cycling 112 miles

Running 26.2 mile

Total distance = 140.6 miles

Average speed = Distance/Time

= 11.03 miles per hour (140.6/12.75)

Thus, Ilhan's average speed in the race is 11.03 miles per hour.

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The expression for the height is given as 3V/pir³

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the ape-x or vertex.

The formula for calculating the volume of a cone is expressed according to the equation;

V = 1/3pir³h

We are to make h the subject of the formula;

V = 1/3pir³h

Cross multiply

3V = pir³h

Divide both sides by pir³

3V/pir³ = pir³h/pir³

3V/pir³ = h

Swap

h = 3V/pir³

Hence the expression for the height is given as 3V/pir³

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thanks man you gudjkkhshsj

Answer: 82

Step-by-step explanation:

The Jon's age is 35 years.

We are given the product of ages of both the persons. Also, we are given Jon's age = j years and Laura's age = (j + 3) years. So, representing the given information in mathematical expression form -

j × (j + 3) = 1330

Performing multiplication on Left Hand Side of the equation to find the value of j

j² + 3j = 1330

Shifting 1330 to Left Hand Side of the equation to find the value of j

j² + 3j - 1330 = 0

Solving the mentioned quadratic equation by factorization -

j² + 38j - 35j - 1330 = 0

Further solving the quadratic equation -

j (j + 38) -35 (j + 38) = 0

(j + 38) (j - 35) = 0

j = 35, -38

The age of Jon can not be negative. So, the age of Jon will be 35 years.

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The complete question is -

Jon is 3 years younger than Laura. The product of their ages is 1,330. If j represents Jon's age and j + 3 represents Laura's age, what value of j could be Jon's age?

The missing second term of the given arithmetic sequence is: 2.5.

A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

given: -3, __, 8 is an arithmetic sequence, where a₁ = -3 and a₃ = 8

Now, as [tex]a_n=a_1+(n-1)d[/tex], for the nth term of an arithmetic sequence,

For n = 3, a₃ = -3 + (3 - 1)d

=> 8 = -3 + 2d

=> 11/2 = d

=> d = 5.5

Hence, a₂ will be given as n = 2, in the above formula

=> a₂ = -3 + (2 - 1) (5.5)

=> a₂ = -3 + 5.5

=> a₂ = 2.5

Hence, The missing second term of the given arithmetic sequence is: 2.5.

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Answer:

false

Step-by-step explanation: You start by answering what's n parenthesis first (pemdas) 3(27 + 6) =

. 3 • 33=

. 99 then answer the second. Problem 18 + 27= 45

So now you know 99>45 which means answer is false

Determine whether each infinite geometric series diverges or converges. The series converges.

If the series converges, state the sum. 1+ 1/4 + 1/16 + . . . .

The sum of the infinite series is 4/3

What is the sum of the infinite series?

Given:

[tex]a(\text{ the first term })=1\\\\r=\frac{a_{2} }{a_{1} } =\frac{1/4}{1} =\frac{1}{4}\\[/tex]

Since   [tex]\vert r \vert < 1[/tex] , the  infinite series converges.  

The sum of infinite geometric series is:

[tex]S_\infty=\frac{a}{1-r} ; -1 < r < 1\\\\S_\infty=\frac{1}{1-\frac{1}{4}}=\frac{4}{3}[/tex]

The sum of the infinite series is 4/3

What is an infinite geometric series?

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Correct answer is A. Amal owes Bella  x 3(-2.5)

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Given,

School sells bags of popcorn on Fridays for $2.50.

money paid back to Bella after 3 weeks - 1/2

⇒ Amal owes Bella =  x 3(-2.5)

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Answer:

35 pennies

Step-by-step explanation:

Savannah started with 5 pennies. You gave her 3 pennies each day for 10 days. The first day you gave her 3 pennies she now has 8. Now the for the second day you add 3 to 8 which 11. You keep adding 3 each day for 10 days.

Easiest way: 10×3=30 30+5=35

She will have 35 pennis after 10 days.

I answered the first question where it asked: "How much money will Savannah have after 10 days."

In other words, the triangles are consistent if the hypotenuse and one of the legs of one right triangle agree with the hypotenuse and one of the legs of another right triangle.

Congruent triangles are two triangles that are the same size and shape. Two congruent triangles remain congruent even if we flip, turn, or rotate one of them. Two triangles must have the same angles and, as a result, must be congruent if their sides are the same.

Two right triangles are supposed to be consistent on the off chance that they are of a similar shape and size. All in all, two right triangles are supposed to be consistent in the event that the proportion of the length of their comparing sides and their relating points is equivalent.

Right triangles are harmonious in the event that both the hypotenuse and one leg are a similar length. These triangles are harmonious by HL or hypotenuse leg.

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The probability that all three cards will be red is [tex]\frac{2}{17}[/tex]

In a deck of cards, the total number of cards is 52.

The total number of red cards in a deck is 26 i.e., half the total number of cards.

Selection of 3 cards from 52 cards is done according to 52C3.

Selection of 3 cards from 26 red cards is done according to 26C3.

∴ Probability = [tex]\frac{Favorable Outcomes}{Total Outcomes}[/tex]

= [tex]\frac{26C3}{52C3}[/tex]

= [tex]\frac{2600}{22100}[/tex]

= [tex]\frac{2}{17}[/tex].

Hence, the probability that all three chosen cards from the deck of 52 cards will be red is [tex]\frac{2}{17}[/tex].

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Answer:

2 hours and 22 minutes

Step-by-step explanation:

Rate x Time = jobs

Mr. Comb's rate is 1 field in 5 hours or 1/5.

Mr. Ramset's rate is 1 fiend in 4.5 hours.

If we take the time and rate that it takes Mr. Comb's to mow one field and add it to the time and rate that it takes Mr. Ramset's to move one field  we can find out how long it takes them to mow one field together

RT + RT = 1 (job)

1/5T + 1/4.5T = 1  We need a common denominator.  I just multiplied 5 x 4.5  for get 22.5  Rewrite 1/5 and 1/4.5 with a common denominator or 22.5 we get the equivalent fractions that we can add together.

4.5/ 22.5T + 5/22.5T = 1  Add the fractions together

9.5/22.5T = 1  We want to solve for T, so we will multiply both sides of the equation by 22.5/9.5

9.5/22.5(22.5/9.5)T= 1 22.5/9.5

T = 22.5/9.5  When I divide these, I get 2 35/95 hours.  I need to change the fraction part of an hour to minutes.  I will use the unit multiplies 60 minutes/ 1 hour.

35hours/95 (60 minutes/1 Hour) = 22.10526331579.  I need to round this to the nearest minutes which will be 22 minutes.

Answer:

48°

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180°.

We can use this information to find the value of third angle, represented with x.

70 + 62 + x = 180 add like terms

132 + x = 180 subtract 132 from both sides

x = 48°

Answer:

{36+7[6-2(10÷)+9(2)]}÷4

1/2 is  the probability of following event. The card is a 4 .

In statistics, what does a probability mean?

In a standard 52 card deck, there are 4 categories each having 13 cards.

Spades ; Hearts ; Diamonds ; Clubs

Hearts and Diamonds are red.

No. of red cards= 13 x 2 = 26

Probability, P(r) = No. of red cards/ Total no. of cards

P(r) = 26/52 = 1/2

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Answer:

first is positive

second is also positive

third id negative

forth is also negative

Step-by-step explanation:

1) and 2) It is because there is no sign before the solution.

for 3) and 4) there is a - (minus) sign before the product so the solution is negative.

A glide reflection is a translation followed by a reflection in a line parallel to the translation vector.

A glide translation is what?

when a figure is subjected to one transformation before another is applied?

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Answer:

C. 14.7

Step-by-step explanation:

I did it on my calculator

Answer:

a = 2, 4

b = 3,0

c =1,2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

7 + 3 * x = 52

x = 15

Step-by-step explanation:

Let's call the number x.

The sum of seven and three times a number is 52

Let's substitute x for "a number" and write it mathematically:

7 + 3 * x = 52

3 * x = 52 - 7

3 * x = 45

x = 15

Mean = 295.4

321, 285, 300, 285, 286, 293,298

Solution:

The mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations), the geometric mean, and the harmonic mean

or

Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data set. The mean, median and mode are the three commonly used measures of central tendency.

Mean :

Mean is a statistical concept that carries a major significance in finance and is used in various financial fields and business valuation. Mean, median, and mode are the three statistical measures of the central tendency of data.

Let there be "n" number of items in a list.

mean of data = sum of data/number of data

= 321 + 285 + 300 + 285 + 286 + 293 + 298 / 7

= 2098/7

= 295.4

Mean = 295.4

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The real word examples of Symmetric, Transitive, and Substitution properties are {2 = 1 + 1 ⇒ 1 + 1 = 2} , {4 = 2 + 2 and 2 + 2 = 5 - 1 then 4 = 5 - 1} , { if 4 = 2 + 2 then 8×4 = 8(2+2) } respectively there is no non-example.

A decimal number is a very common number that we use frequently.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Symmetric property states that if a = b  then b = c

For example 2 = 1 + 1 ⇒ 1 + 1 = 2

Transitive property states that if a = b , b = c then a = c

For example 4 = 2 + 2 and 2 + 2 = 5 - 1 then 4 = 5 - 1

Substitution property states that if a = b then we can put b instant of an in any equation.

For example 4 = 2 + 2 then 8×4 = 8(2+2)

Hence "The example of real word on Symmetric, Transitive, and Substitution properties are {2 = 1 + 1 ⇒ 1 + 1 = 2} , {4 = 2 + 2 and 2 + 2 = 5 - 1 then 4 = 5 - 1} , { if 4 = 2 + 2 then 8×4 = 8(2+2) } respectively".

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