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3 years ago

7

the relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card. sta

te whether the graph of each linear relationship is a solid line or a set of unconnected point. Explain your reasoning.

1 answer:

d1i1m1o1n [39]3 years ago

7 0

An unconnected point because you cannot buy a fractional part of lunch

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Consider a circle whose equation is x2 + y2 + 4x – 6y – 36 = 0. Which statements are true? Check all that apply. To begin conver

umka21 [38]

Answer:

1) False, to begin converting the equation to standard form, each side must be added by 36. 2) True, to complete the square for the x terms, add 4 to both sides, 3) True, the center of the circle is at (-2, 3), 4) False, the center of the circle is at (-2, 3), 5) False, the radius of the circle is 7 units, 6) False, the radius of the circle is 7 units.

Step-by-step explanation:

Let prove the validity of each choice:

1) To begin converting the equation to standard form, subtract 36 from both sides:

Let consider the following formula and perform the following algebraic operations:

(i) $x^{2} + y^{2} + 4\cdot x - 6\cdot y - 36 = 0$ Given

(ii) $x^{2} + 4\cdot x + y^{2} - 6\cdot y - 36 = 0$ Commutative Property

(iii) $(x^{2} + 4\cdot x + 4) - 4 + (y^{2} - 6\cdot y + 9) - 9 -36 = 0$ Modulative/Associative Property/Additive Inverse Existence

(iv) $(x+ 2)^{2} - 4 + (y - 3)^{2} - 9 - 36 = 0$ Perfect Trinomial Square

(v) $(x+2)^{2} +(y-3)^{2} = 4 + 9 + 36$ Commutative Property/Compatibility with Addition/Additive Inverse Existence/Modulative Property

(vi) $(x+2)^{2} + (y-3)^{2} = 49$ Definition of Addition/Result

False, to begin converting the equation to standard form, each side must be added by 36.

2) True, step (iii) on exercise 1) indicates that both side must be added by 4.

3) The general equation for a circle centered at (h, k) is of the form:

$(x-h)^{2}+ (y-k)^{2} = r^{2}$

Where $r$ is the radius of the circle.

By direct comparison, it is evident that circle is centered at (-2,3).

True, step (vi) on exercise 1) indicates that center of the circle is at (-2, 3).

4) False, step (vi) on exercise 1) indicates that the center of the circle is at (-2, 3), not in (4, -6).

5) After comparing both formulas, it is evident that radius of the circle is 7 units.

False, the radius of the circle is 7 units.

6) After comparing both formulas, it is evident that radius of the circle is 7 units.

False, the radius of the circle is 7 units.

5 0

3 years ago

Read 2 more answers

How is 33 the answer to 6% of 550

NikAS [45]

Is %
=
of 100

x 6
=
550 100
cross multiply and divide

100x=3300
divide both sides by 100
x=33

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3 years ago

I need help solving #9 & #11! It's geometry but I'm just really stuck<br><br>

Vikentia [17]

Answer:

9)x=11 y=3

11)x=18 y=5

Step-by-step explanation:

9) 9x+25=13x+19 13x-19+17y+5=180

9x+44=13x 129+17y=180

44=4x 17y=51

11=x y=3

11) 49+3x=7x-23 3x=11y-1

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3 years ago

What is a bank statement

azamat

Answer:

A bank statement can be defined as a record of payments in and out of a bank account.

Step-by-step explanation:

For example, energy providers offer direct debit payments as the amount that is used each month may vary and they take the required amount at each bill. Standing orders are similar to a direct debit except that they are for a fixed amount.

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Write each expression in radical form y^-4/3

Sholpan [36]

Answer:

y=scott the woz

Step-by-step explanation:

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