in the expression shown below, the number 2 and 5 that are place in front of the variables are called
2x^2+5x-3

A. Degrees
B. Polynomials
C. Coefficient
D. Radicals ​

Answer:

1) ΔABC ≅ ΔDBC by Side-Angle-Side (SAS)

2) ΔABC ≅ ΔCDB by Side-Side-Side (SSS)

3) ΔABC ≅ ΔDBE by Angle-Angle-Side (AAS)

4) m∠Y = 53°

5) y = 3

6) ΔABC ≅ ΔEDC by Side-Angle-Side (SAS)

7) ΔABC ≅ ΔADC by Angle-Angle-Side (AAS)

8) ΔABC ≅ ΔADC by Side-Angle-Side (SSS)

Step-by-step explanation:

1) Side AC ≅ Side BD      [tex]{}[/tex]        given

Side BC ≅ Side BC      [tex]{}[/tex]            reflexive property

∠DBC ≅ ∠ACB                [tex]{}[/tex]        given

Therefore ΔABC ≅ ΔDBC by Side-Angle-Side (SAS)

2) Side AC ≅ Side BD      [tex]{}[/tex]        given

Side DC ≅ Side BA      [tex]{}[/tex]            given

Side BC ≅ Side BC      [tex]{}[/tex]            reflexive property

Therefore, ΔABC ≅ ΔCDB by Side-Side-Side (SSS)

3) ∠BAC ≅ ∠DEB                [tex]{}[/tex]        given

Side BC ≅ Side BD      [tex]{}[/tex]               given

∠ABC ≅ ∠DBE                [tex]{}[/tex]            vertically opposite angles

Therefore, ΔABC ≅ ΔDBE by Angle-Angle-Side (AAS)

4) ΔXYZ ≅ ΔABC                [tex]{}[/tex]        given

m∠A = 44°, and m∠C = 83°

m∠B = 180 - (44 + 83) = 53°                [tex]{}[/tex]   Sum of angles in a triangle

m∠Y = m∠B = 53°                [tex]{}[/tex]   Corresponding Parts of Congruent Triangles are Congruent (CPCTC)

5) Given that Triangle GHK is congruent to Triangle TZK

GH ≅ XT, KG ≅ KT, and HK ≅ ZK by the definition of congruency

Therefore, GH = 4 = XT = 3y - 2

4 = 3y - 2

3y - 2 = 4

3y = 4 + 2 = 6

y = 6/2 = 3

y = 3

6) Side BC ≅ Side EC      [tex]{}[/tex]           given

Side AC ≅ Side DC      [tex]{}[/tex]              given

∠ACB ≅ ∠DCE                [tex]{}[/tex]            vertically opposite angles

Therefore, ΔABC ≅ ΔEDC by Side-Angle-Side (SAS)

7) ∠BAC ≅ ∠DAC                [tex]{}[/tex]        given

∠ADC ≅ ∠ABC                [tex]{}[/tex]            given

Side AC ≅ Side AC      [tex]{}[/tex]               reflexive property

Therefore, ΔABC ≅ ΔADC by Angle-Angle-Side (AAS)

8) Side AD ≅ Side BC      [tex]{}[/tex]           given

Side AC ≅ Side AC      [tex]{}[/tex]               reflexive property

Side AB ≅ Side DC      [tex]{}[/tex]                given that the included angle between the two legs side AD and side AC and side AC and side BC are both acute, the third sides side AB and side DC are equal

Therefore, ΔABC ≅ ΔADC by Side-Angle-Side (SSS)

Answer:

positive slope

Step-by-step explanation:

Answer:

In 3 years, you will have $4,408.99

Step-by-step explanation:

The formula used in the compound interest calculator is A = P(1+r/n)^(nt)

A = the future value of the investment

P = the principal investment amount

r = the interest rate (decimal)

n = the number of times that interest is compounded per period

t = the number of periods the money is invested for

Answer:

(D) 24°

Step-by-step explanation:

(5x + 6)° + (3x)° + (142 - 4x)° = 180°

5x + 6 + 3x + 142 - 4x = 180

4x + 148 = 180

4x = 32

x° = 8°

m∠E = 3×8° = 24°

Answer:

(0, 10 )

Step-by-step explanation:

5 units up means add 5 to the y- coordinate

3 units left means subtract 3 from the x- coordinate

Translation rule is

(x, y ) → (x - 3, y + 5 ) , thus

(3, 5 ) → (3 - 3, 5 + 5 ) → (0, 10 )

Answer:

18.92

Step-by-step explanation:

Im preatty sure this is right

Answer:

18.92

I multiplied 0.22 and 86

Answer:

The y intercept is 4

Step-by-step explanation:

Given:

-Given point: (-5,-6)

-Slope of 2

1) Put the equation into point-slope form y - y1 = m(x - x1)

With the given, we can plug it all in using this formula!

-y1 = -6

-x1 = -5

m = 2

(you would change these negative numbers into positives because the equation shows them being subtracted! remember that two negatives make one positive!)

y+6= 2(x+5)

2) Simplify

y+6= 2(x+5)

y+6=2x+10

y=2x+4

With y=2x+4, set x to 0 because the y intercept is where x is equal to 0 and you get 4!

Answer:

um hope this helps :D

Step-by-step explanation:

A system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system. The problem can be expressed in narrative form or the problem can be expressed in algebraic form.

A collection of two or more equations with the same set of unknowns is referred to as a system of equations. I

A system of equations is a collection of two or more equations with the same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system. The problem can be expressed in narrative form or the problem can be expressed in algebraic form.

If the lines intersect, we identify the point of intersection. This is the solution to the system. The solutions of a system of equations are the values of the variables that make all the equations true.

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Answer: 75%

Step-by-step explanation: So 15/20 simplified is 3/4 and 3 divided by 4 equals 0.75. To convert a decimal to a percentage, you multiply 0.75 by 100 to get 75%.

Answer:answer is 387

Step-by-step explanation:ok got it

Answer:

There are 33 students in the class.

Step-by-step explanation:

Answer:

hope this helps

Step-by-step explanation:

9+6(10-7x)

9+60-42x

69-42x

Answer:

X=13. y=5 AC=20

Step-by-step explanation:

To do this we first have to find the value of x... giving the fact that DE is a mid segment, We know that the length of BC is double the length of DE this means that the length of BC equals 16. So, to equal 16 x will have to equal 13 so 13 + 3 = 16. Now we will find the value of y. We do this by looking at the length of ae and ec. AE equals EC so now that we know x equals 13 we can do 13 minus 3 equals 10 for AE. since EC has to equal 10 we can do 10 minus 5 which equals 5. We now know that y equals 5. We can now add this all up to find the length of AC. We would do 10 + 10 = 20. Hope this helps!

The length of AC from the diagram is 25

To get the value of x and y, we will use the similarity theorem of a triangle

BC = 2DE

x + 3 = 2(8)

x + 3 = 16

x = 16 - 3

x = 13

Hence BC = 16

From the given figure;

AE/DE = AC/BC

x-3/8 = (x-3+y+5)/x+3

10/8 = 15+y/13

130 = 8(15+y)

130 = 120 + y

y  = 10

Get the length of AC

AC = 13-3+10+5

AC = 25

Hence the length of AC from the diagram is 25

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Answer:

Step-by-step explanation:

Answer:

x=3 y=-1

Step-by-step explanation:

2x+3y=3;y=8−3x

Rewrite

y=−3x+8 2x+3y=3

Step: Solvey=−3x+8 for y:

y=−3x+8

Step: Substitute−3x+8foryin2x+3y=3:

2x+3y=3

2x+3(−3x+8)=3

−7x+24=3(Simplify both sides of the equation)

−7x+24+−24=3+−24(Add -24 to both sides)

−7x=−21

−7  - 7

x=3 (Divide both sides by -7)

x=3

Step: Substitute3forxiny=−3x+8:

y=−3x+8

y=(−3)(3)+8

y=−1(Simplify both sides of the equation)

this might be confusing but you gotta study :)

Answer:

C

Step-by-step explanation:

Marginal relative frequency for the people who do not like cantaloupe is 0.455

or

91/100

Answer:

C is correct

Step-by-step explanation:

Answer:

Sean's sum divided by Julie's sum is 2.

Step-by-step explanation:

The sum of an arithmetic sequence is:

[tex]\frac{n}{2}(2a+(n-1)d)[/tex]

In Sean's sequence, a = 2, n = 250, and d = 2

In Julie's sequence, a = 1, n = 250, and d = 2

[tex]\frac{\frac{250}{2}(2(2)+(250-1)2)}{\frac{250}{2}(2(1)+(250-1)1)}\\= 2[/tex]

The Sean's sum divided by Julie's sum gives the 2.

An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

a, a + d, a +  2d, ... , a + (n+1)d, ...

Its nth term is ; T_n = a + (n-1)d

(for all positive integer values of n)

And thus, the common difference is T_{n+1} - T_n for all positive integer values of n

The sum of an arithmetic sequence is;

[tex]= \dfrac{n}{2}[2a + (n-1)d ][/tex]

In Sean's sequence, a = 2, n = 250, and d = 2

[tex]= \dfrac{250}{2}[2(2) + (250-1)2 ]\\[/tex]

In Julie's sequence, a = 1, n = 250, and d = 2 then;

[tex]= \dfrac{250}{2}[2(1) + (250-1)2 ]\\[/tex]

Therefore, the Sean's sum divided by Julie's sum gives the 2.

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Answer:

See Below.

Step-by-step explanation:

1) Given:

[tex]3x+2y+7=5x+3y+10[/tex]

2) Subtraction Property of Equality (subtract 2y from both sides):

[tex]3x+7=5x+y+10[/tex]

3) Subtraction Property of Equality (subtract 5x from both sides):

[tex]-2x+7=y+10[/tex]

4) Subtraction Property of Equality (subtract 10 from both sides):

[tex]-2x-3=y[/tex]

5) Symmetric Property:

[tex]y=-2x-3[/tex]

6) Slope-intercept form:

[tex]y=mx+b\text{, where $m$ is slope and $b$ is y-intercept.}[/tex]

7) Substitution:

[tex]m=-2[/tex]

Answer:

The answer is X= 4.

9514 1404 393

Answer:

  y = 2x -6

Step-by-step explanation:

One form you can use for this purpose is ...

  (x2 -x1)(y -y1) = (y2 -y1)(x -x1)

Filling in the given point values, this is ...

  (0 -4)(y -2) = (-6 -2)(x -4)

  -4y +8 = -8x +32

Generally, we like the equation to have coefficients with no common factors. All of these coefficients can be divided by -4.

  y -2 = 2x -8

This can be rearranged to any form you may like--or left as is.

  y = 2x -6 . . . . . slope-intercept form

Answer:

D. (x - 3)(x - 1)

Step-by-step explanation:

Factor the following:

[tex] \longrightarrow [/tex] x² - 4x + 3

The factors of 3 that sum to -4 are -1 and -3.

So,

[tex] \longrightarrow [/tex] x² - x - 3x + 3

[tex] \longrightarrow [/tex] x(x - 1) - 3(x - 1)

[tex] \longrightarrow [/tex] (x - 3)(x - 1)

Answer:

the slope is [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

Given: 4y - 7x = 10; solve y

4y - 7x = 10; add 7x to both sides to isolate the 4y variable

4y = 7x + 10; now divide by 4

y = [tex]\frac{7}{4}[/tex]x + [tex]\frac{10}{4}[/tex]; reduce the fraction

y = [tex]\frac{7}{4}[/tex]x + [tex]\frac{5}{2}[/tex]; the slope is

Answer:

m= 7/4

Step-by-step explanation:

Answer: $10

Step-by-step explanation:

Angie buys = 1 software package and 1month of gameplay.

Kenny buys = 1 software package and 2 months of game play.

Cost of each software package = $30. Total cost = ​$90​

The total cost is the addition of what Kenny and Angie bought. This will be:

(1 SF + 1 G) + (1 SF + 2 G) = 90

where,

SF = software package = 30

G = game

(1 SF + 1 G) + (1 SF + 2 G) = 90

30 + 1G + 30 + 2G = 90

60 + 3G = 90

3G = 90 - 60

3G = 30

G = 30/3

G = 10

One month of game play cost $10

Answer:

The first selection is the answer.

Step-by-step explanation:

x+12=86

The equation that can be used to find x is x + 12 = 86

A linear equation is of the form:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Let x represent the number of seashells in the collection before the 12 were added.  Hence to find x, we use the equation:

x + 12 = 86

The equation that can be used to find x is x + 12 = 86

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Answer:

She drank 4 cartons in February.

Step-by-step explanation:You multiply 2x2 because it doubles.

The number of years it will take for the value of the money in the account to reach $153,400 would be = 17 years.

Simple interest is defined as the amount of money that is received as an extra cash based on an investment made in an account.

The principal amount of money invested= $96,000

The rate of interest = 3.5%

The total interest on the principal amount = $153,400- $96,000 = $57,400

The time for this investment= ?

Using the formula for simple interest= p×T×R/100

57,400 = 96,000 ×T× 3.5 /100

Make T the subject of formula;

T = 57,400×100/96,000×3.5

T = 5740000/336000

T = 17 years (approximately)

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Answer:

C is the answer.

C has a common difference of "2"

Step-by-step explanation:

You could say that the word "difference" also means Subtraction, so in a simpler way of saying "The common difference of 2" you could say, "Which one of the following is subtracting by 2?"

PLEASE MARK BRAINLIEST

Answer:

Pay Rate = Constant of Proportionality = E/h

Step-by-step explanation:

Recall this formula:  Total Pay = (Hourly Pay Rate)*(Number of Hours Worked)

Apparently there was a graph associated with this problem; it's up to you to share all instructions and other info that comes with your question.

Rewriting Total Pay = (Hourly Pay Rate)*(Number of Hours Worked), using E for total earnings and h for the number of hours worked, we get:

E = (Hourly Pay Rate)*h

The relevant constant of proportionality is found by dividing E by h:

Pay Rate = Constant of Proportionality = E/h

Answer:

If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.