Step-by-step explanation:
7. ∆ABC = ∆ILH by SSS
as, AB = IL , BC = LH , CA = HI
8. ∆DEF = ∆AMS by ASA
as , angle D = angle A, EF = MS , angle F = Angle S
9. ∆JKL = ∆HAT by SAS
as, JK = HA , KL = AT , angle L = angle T
10. ∆ABC = ∆KPG by ASA
as , CA = GK, Angle c = angle G and Angle B = angle P
11. ∆ABC = ∆YDE by ASA
as , angle A = angle Y, AB = YD , angle B = angle D
12. ∆MNO = ∆SAK by ASA
as , Angle M = angle S, NO = AK, angle O = angle K
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Answer:
y = 1.2x - 3 (slope intercept form)
or
5y-6x = -15 (standard form)
Step-by-step explanation:
Two parallel lines have the same slope, which means that our line's slope, will also be 1.2.
we can use the formula to find the equation of the line:
y-y1 = m (x-x1)
y1 - y coordinate of a point on the line
x1 - x coordinate of the same point on the line
m - slope
and we get:
y+3 = 1.2 (x-0)
y = 1.2x - 3 (slope intercept form)
or
5y-6x = -15 (standard form)
Answer:
No solution.
Step-by-step explanation:
6(n −1) + 2 = n(4 + 2) + 4
6n - 6 + 2 = 6n + 4
-4 = 4 (inconsistency)
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Quadratic Formula:

<u>Algebra II</u>
Step-by-step explanation:
<u>Step 1: Define function</u>
f(x) = -x² - 6x - 14
<u>Step 2: Set up</u>
- Set equation equal to 0: -x² - 6x - 14 = 0
- Factor out -1: -(x² + 6x + 14) = 0
- Divide both sides by -1: x² + 6x + 14 = 0
<u>Step 3: Define variables</u>
a = 1
b = 6
c = 14
<u>Step 4: Find roots</u>
- Substitute:

- Exponents:

- Multiply:

- Subtract:

- Factor:

- Simplify:

- Factor:

- Divide:

Answer:
$9.57
Step-by-step explanation:
You have to do 4.35 divided by 5 to get how much 1 can cost. You will find out that 1 can cost $0.87. Next you will take how much one cost and mutiply it by 11. When you do that you will get 9.57. That is how you will get $9.57 as your answer.