Step-by-step explanation:
the solutions for a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -4
c = k
x = (4 ± sqrt(16 - 4k))/2 = 2 ± sqrt(4 - k)
x1 = 2 + sqrt(4 - k)
x2 = 2 - sqrt (4 - k)
x1 = 2 + x2
2 + sqrt(4 - k) = 2 + 2 - sqrt(4 - k)
2×sqrt(4 - k) = 2
sqrt(4 - k) = 1
4 - k = 1
k = 4 - 1 = 3
x1 = 3
x2 = 1
The base of triangle is 24 inches whose area is 2.75 sq. feet
<u>Solution:</u>
Given, area of a triangle is 2.75 square feet and its height is 33 inches.
We have to find its base length in inches.
So let us convert area units from feet to inches.
Area = 2.75 square feet = 2.75 
ft ft
= 2.75 12 inches 12 inches
[since 1 foot = 12 inches
]
= 2.75 x 144 
Area = = 396
Area of triangle is given as:
Hence, the base of the triangle is 24 inches
Function rule: a = 20w + 115
Slope: 20
Initial value: 115
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We start with $115 in the account. This is the initial value. Each week we add on $20.
So we add $20 for 1 week
We add 2*20 = $40 for 2 weeks
We add 3*20 = $60 for 3 weeks
etc etc
In general, we add 20*w dollars for w weeks onto 115 to get a = 20w+115
The slope is 20 because this is the rate of change, ie how fast the account grows. It grows 20 dollars per week.
God loves you and will guide you to the anwser will external interference
<span>Part C: Plug in any values for x, get the y values, re-write them as (x,y) coordinates and graph.
Sorry, I do not know the other answers, but Part C was easy</span>
