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PSYCHO15rus [73]
3 years ago
9

B ^ 2 - 4b - 14 = 0

Mathematics
2 answers:
vodka [1.7K]3 years ago
5 0
B^2 -4b -14= 0
For this equation: a=1, b=4, c=-14
Use the quadratic formula and plug in the values^
Answer: 2 + 3 square root of 2, 2 - 3 square root of 2
Blizzard [7]3 years ago
3 0
Simplifying
b2 + -4b + -14 = 0

Reorder the terms:
-14 + -4b + b2 = 0

Solving
-14 + -4b + b2 = 0

Solving for variable 'b'.

Begin completing the square.

Move the constant term to the right:

Add '14' to each side of the equation.
-14 + -4b + 14 + b2 = 0 + 14

Reorder the terms:
-14 + 14 + -4b + b2 = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -4b + b2 = 0 + 14
-4b + b2 = 0 + 14

Combine like terms: 0 + 14 = 14
-4b + b2 = 14

The b term is -4b. Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4b + 4 + b2 = 14 + 4

Reorder the terms:
4 + -4b + b2 = 14 + 4

Combine like terms: 14 + 4 = 18
4 + -4b + b2 = 18

Factor a perfect square on the left side:
(b + -2)(b + -2) = 18

Calculate the square root of the right side: 4.242640687

Break this problem into two subproblems by setting
(b + -2) equal to 4.242640687 and -4.242640687. b + -2 = 4.242640687

Simplifying
b + -2 = 4.242640687

Reorder the terms:
-2 + b = 4.242640687

Solving
-2 + b = 4.242640687

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + b = 4.242640687 + 2

Combine like terms: -2 + 2 = 0
0 + b = 4.242640687 + 2
b = 4.242640687 + 2

Combine like terms: 4.242640687 + 2 = 6.242640687
b = 6.242640687
Simplifying
B = 6.242640687

Subproblem 2
b + -2 = -4.242640687

Simplifying
b + -2 = -4.242640687

Reorder the terms:
-2 + b = -4.242640687

Solving
-2 + b = -4.242640687

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + b = -4.242640687 + 2

Combine like terms: -2 + 2 = 0
0 + b = -4.242640687 + 2
b = -4.242640687 + 2

Combine like terms: -4.242640687 + 2 = -2.242640687
b = -2.242640687

Simplifying
b = -2.242640687
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If the points (-8, 7) and T (6,-3) are on a line segment, find the length of ST.​
larisa86 [58]

Answer:

The answer is

<h2>2√74 or 17.20 units</h2>

Step-by-step explanation:

The length of w line segment between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

S(-8, 7) and T (6,-3)

The length of ST is

|ST|  =  \sqrt{ ({ - 8 - 6})^{2} +  ({7 + 3})^{2}  }  \\  =  \sqrt{ ({ - 14})^{2} +  {10}^{2}  }  \\  =  \sqrt{196 + 10}  \\  =  \sqrt{296}  \\  = 2 \sqrt{74}  \\  = 17.2046505...

We have the final answer as

<h3>2√74 or 17.20 units</h3>

Hope this helps you

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wolverine [178]

Answer:

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2nd - It is likely that he can still default on loans as paying double money each month can create problems and James can again stop making payments.

3rd - If James starts paying his debts now, he can be free in a few years time and his credit score will again become good. Then he will get the regular rate of interest for his car as he will be debt free.

So, we can say, he made the right decision.

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From the text of the task we can write the equation:


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7 0
3 years ago
Read 2 more answers
Combine like terms to create an equivalent expression 2s+ (-4s) pls help
pav-90 [236]

The equivalent expression to 2s + (-4s) is -2s.

Step-by-step explanation:

Step 1:

In sums like these, it is easier to take the common term out of the simplification.

In the expression 2s + (-4s), the common term between 2s and -4s is the term s. So we take the term s as the common factor.

So taking s out of 2s + (-4s) we get s (2+(-4)).

Step 2:

If we multiply a positive with a negative we get a negative. S0 +(-4) = -4.

2s + (-4s) = s (2-4) = s(-2) = -2s.

So the equivalent expression to 2s + (-4s) is -2s.

5 0
2 years ago
There is a line that includes the point (3, 8) and has a slope of 6 . What is its equation in slope-intercept form ?
goldenfox [79]

Answer:

y=6x-10

Step-by-step explanation:

Use Point-Slope form to solve this problem

Point Slope Form: y-y1=m(x-x1)

M is your slope, in this case, m will be 6

Plug in the values of your coordinates (3,8), ambigously, 3 will be the value of x1 and 8 will be the value of y1.

New equation: y-8=6(x-3), start solving from here

y-8=6x-18

Use inverse operations to get y alone, opposite of subtraction is additiin so add 8 to both sides of the equation

y=6x-10

5 0
3 years ago
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