HELP PLEASE!!!!!!!!?!??

Answer:

c = 1

Step-by-step explanation:

Given

x² + 2x + c

To complete the square

add ( half the coefficient of the x- term )² to x² + 2x

x² + 2(1)x + 1

= (x + 1)²

Thus

x² + 2x + 1 = (x + 1)² ← a perfect square

with c = 1

Answer:

Step-by-step explanation:

3x + 49 = 7x - 23

4x = 72

x = 18

11y - 1 = 3(18)

11y = 55

y = 5

The value of x is 18 and y is 5.

Following are the properties of parallel lines,

Given:

<1 = 7y -23

<2 = 11y -1

<3 = 3x

Using corresponding angle

7x - 23 = 3x + 49

4x = 72

x = 18

again, Using corresponding angle

3x = 11y - 1

3(18) = 11y - 1

11y = 55

y= 5

Hence, the value of x is 18 and y is 5.

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Answer:

Step-by-step explanation:

Given ratio of boys and girls in the class =7:5

No of boys is 8more than the girls

So

Let no of boys in the class =7x

No of girls in the class=5x

7x=5x+8

2x=8

X=8/2

X=4.

Total strength =no of boys + no of girls

=7x+5x

=7×4+5×4

= 28+20

=48.

Total strength in the class is 48.

Answer:

Total class strength = 48

Step-by-step explanation:

Boys : Girls = 7 : 5

Number of boys  = 7x

Number of girls = 5x

7x - 5x = 8

      2x = 8      

       x = 8/2

       x = 4

Total strength = 7x + 5x = 12x = 12*4  = 48

Answer:

a

Step-by-step explanation:

just did it and got right

The required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.

These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operation.

Let,

= [tex]tan(\pi /12) = tan((3-2)\pi /12)[/tex]
[tex]= tan[(3\pi -2\pi )/12]\\=tan(3\pi /2-2\pi /12)\\=tan(\pi /4-\pi /6)\\=\frac{tan(\pi/4)-tan(\pi/6)}{1+tan(\pi/4)tan(\pi/6)}[/tex]
= [tex]\frac{1-1/\sqrt{3} }{1+1*1/\sqrt{3} } \\[/tex]
[tex]=\frac{(\sqrt{3}-1)/\sqrt{3}}{(\sqrt{3}+1))/\sqrt{3}}[/tex]
[tex]=\frac{(\sqrt{3}-1)}{(\sqrt{3}+1)}\\=\frac{(\sqrt{3}-1)(\sqrt{3}+1)}{(\sqrt{3}+1)(\sqrt{3}+1)}\\=\frac{(3-2\sqrt{3}+1)}{(3-1)}\\\\=\frac{(4-2\sqrt{3})}{(2)}\\={(2-\sqrt{3})}\\[/tex]


Thus, the required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.

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Answer:

£36.39

Step-by-step explanation:

hope this helps

Answer:

61

Step-by-step explanation:

nth=5n+1

.: 12th=5(12)+1 =60+1

=61

Answer:

A. Isosceles

D. Scalene

E. Acute

Answer:

2x-6

Step-by-step explanation:

Answer:

Adults =193

children=52

Step-by-step explanation:

Step one:

let the number of tickets adults be x

and the number of tickets children be y

x+y=245--------1

6.5x+3y=1410.5---2

Step two:

solve the system of equation using substitution

x+y=245

x=245-y

put x=245-y in equation 2 we have

6.5(245-y)+3y=1410.5

1592.5-6.5y+3y=1410.5

-6y+3y=1410.5-1592.5

-3.5y=-182

y=182/3.5

y=52

put y=52 in x=245-y

x=245-52

x=193

Answer:

There are 4 possible scenarios where given relation could not be a function:

i)  [tex](-1, 4), (0,4), (2,5), (3,-6), (-1, 7)[/tex]

ii) [tex](-1, 4), (0,4), (2,5), (3,-6), (0, 7)[/tex]

iii) [tex](-1, 4), (0,4), (2,5), (3,-6), (2, 7)[/tex]

iv) [tex](-1, 4), (0,4), (2,5), (3,-6), (3, 7)[/tex]

Step-by-step explanation:

From Function Theory, we remember that a relation is not a function when at least one element from domain (x-coordinate) is related to one or more elements from range (y-coordinate). Hence, there are four possibilities of making the relation not a function:

i)  [tex](-1, 4), (0,4), (2,5), (3,-6), (-1, 7)[/tex]

ii) [tex](-1, 4), (0,4), (2,5), (3,-6), (0, 7)[/tex]

iii) [tex](-1, 4), (0,4), (2,5), (3,-6), (2, 7)[/tex]

iv) [tex](-1, 4), (0,4), (2,5), (3,-6), (3, 7)[/tex]

Answer: 15 boxes

Step-by-step explanation:

From the question, we are informed that Denise wants to cover a 21.75 square foot wall with weathered wood and that each box of weathered wood contains 1.5 square feet of wood.

The number of boxes of weathered wood that she need will be calculated by dividing 21.75 square feet by 1.5 square feet. This will be:

= 21.75/1.5

= 14.5

= 15 boxes approximately

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

Explanation:

Let n be the degree of the numerator

Let d be the degree of the denominator

If n < d, then the limit at infinity is always 0. This is because the denominator is growing faster compared to the numerator. I suggest looking at a table of values to see this in action.

In this case, n = 3 and d = 4, so we see that n < d is the case here. So that's why the answer is 0.

----------------------

Side notes:

Answer:

128 ounces

Step-by-step explanation:

Answer:

128 ounces

Isaac weighed 8 lbs, or 128 ounces

Just multiply the mass value by 16, and you'll get 128.....

Hope this helps you

Answer:

83.2%

Step-by-step explanation:

Just add all the percentages together and divide it by the number of scores, which in this case is 5.

Answer:

83.2%

Step-by-step explanation:                                                                                                  we know, mean = sum of data/ number of data

= 78+82+89+83+84

=416

now ,

416/5 = 83.2%

Answer:

1/5

Step-by-step explanation:

A metre is 100cm, thus

20cm/100cm= 1/5

Answer:

Even

Step-by-step explanation:

Answer: the slope of this line is 2/3

Step-by-step explanation:

If you use rise/run, you will find that rise=2 and run=3, so the slope 2/3.

Answer: -2/3

rises by 2 and runs by 3

using points (0,2) and (-3,3)

I hope this is good enough:

Answer:

I hope I helped :)

Step-by-step explanation:

a. The y-intercept represents b. (y = mx + b) also b is 20 because that's where the line touches the y-axis.

b. The slope represents Sam's monthly fee.

c. Sam's monthly fee is 0.4 or 2/5

d. Every 50 minutes is $20.

Answer:

The answer is A and E.

A.∠Z ≅ ∠G and XZ ≅ FG

E.∠Z ≅ ∠G and XY ≅ FE

Step-by-step explanation:

Answer:

1 & 5

Step-by-step explanation:

i know da way

Answer:

y = 4×-37

Step-by-step explanation:

y - 3 = 4(× - 10)

y - 3 = 4× - 40

+3. +3

y = 4x - 37

sorry if this wrong, but the equation setup is right

Answer:

d = - 1/5

Step-by-step explanation:

slope form: m= y2-y1/x2-x1

m= -5-(-7)/-6-4

m= 2/-10

m= - 1/5

9514 1404 393

Answer:

  salt, super clean, pepper, washing powder

  44oz drink, popcorn, 32oz drink

Step-by-step explanation:

The number of ounces can be found by dividing the price by the price per ounce:

  3.60/(0.30/oz) = 12 oz . . . salt

  8.80/(0.11/oz) = 80 oz . . . super clean

  6.72/(0.42/oz) = 16 oz . . . pepper

  7.80/(0.13/oz) = 60 oz . . . washing powder

__

  3.52/(0.08/oz) = 44 oz . . . 44oz drink

  9.00/(0.18/oz) = 50 oz . . . popcorn

  1.92/(0.06/oz) = 32 oz . . . 32oz drink

Answer:

[tex]x = 9.33(appx)[/tex]

Step-by-step explanation:

If two angles form an supplementary angle, their sum will be 180°.

In the question , angleM & angleR form a supplementary angle.

[tex] = > 13x + 40 + 2x = 180[/tex]

[tex] = > 15x + 40 = 180[/tex]

[tex] = > 15x = 180 - 40 = 140[/tex]

[tex] = > x = \frac{140}{15} = 9.33(appx)[/tex]

Answer:

m:number that is multiplied on x  b:the y-intercept

Step-by-step explanation:

In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the "slope-intercept form".

In the equation y = mx + b, m represents slope and b represents y intercept.

In the equation y = mx + b, the variables "m" and "b" represent coefficients or constants. Specifically:

"m" represents the slope of the line. It determines the steepness or inclination of the line.

The slope indicates how much y (the dependent variable) changes for each unit change in x (the independent variable).

"b" represents the y-intercept of the line. It is the value of y when x is equal to zero.

The y-intercept is the point where the line intersects the y-axis.

m and b define the equation of a straight line in slope-intercept form, where "m" is the slope and "b" is the y-intercept.

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Answer:

(6/11, 16/11)

Step-by-step explanation:

While it's fairly obvious that you're supposed to "solve this system of equations," it'd be clearer if you were to say so specifically.  Also, reduce ambiguity by using parenthes:  You meant either (5/3)x or 5/(3x).  Which one?  I'm assuming it's (5/3)x.

Then our system is:

(5/3)x - 2y = -2

      x  +  y =  2

Let's eliminate y through addition/subtraction.  Multiply the 2nd equation through by +2:

(5/3)x - 2y = -2

     2x  + 2y = 4

------------------------

(11/3)x       =  2

Multiplying both sides by 3 eliminates the fractional coefficient:

11x = 6

Then x = 6/11.  Now we must solve for y:

-(6/11) + y = 2

Multiplying 2 by 11/11 yields:

-(6/11) + y = 22/11.

This simplifies to y = 16/11

Thus, the solution of this system is

(6/11, 16/11)