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Deffense [45]
2 years ago
10

Someone please help

Mathematics
1 answer:
Artyom0805 [142]2 years ago
7 0

Answer:

x = -3.73 or -0.27

Step-by-step explanation:

From the question,

x²+ 4x+1 = 0

This is a quadratic equation, and it can be solved using any of the 3 methods.

Using completing the square method,

x²+4x = -1

Add half the coeffiecient of x, square it and add it to both side of the equation.

The coefficient of x is 4,

half the cofficient is 2

Add 2² to both side of the equation

x²+4x+2² = -1+2²

(x+2)² = 3

x+2 = ±√3

x+2 = ±1.73

Either,

x+2 = -1.73

x = -1.73-2

x = -3.73

or

x+2 = +1.73

x = =1.73-2

x = -0.27

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I really need help with b I have already done a
marishachu [46]

Answer:

Step-by-step explanation:

In the first pattern, there were 6 sticks

In the second pattern, there were 10 sticks.

In the third pattern, there were 14 sticks.

Based on the pattern, we see that each time, 4 more sticks are added and that the initial amount of stick is 6.

Thus: the equation for how many sticks there would be in pattern n is:

# of sticks in pattern n = 6 + 4n

Hope that helps!

3 0
2 years ago
A firm has a beta of 1.3 and a debt-to-equity ratio of .4. The market rate of return is 11.6
Citrus2011 [14]

Beta= 1.3

Debt to equity ratio= 0.4

Market rate of return= 11.6%

= 11.6/100

= 0.116

Tax rate= 32%

= 32/100

= 0.32

Risk free rate=  3.3%

= 3.3/100

= 0.033

Pretax cost of debt= 7.2%

= 7.2/100

= 0.072

The firm's WACC can be calacluated as follows

RS= 0.033+1.3(0.116-0.033)

= 0.033+1.3(0.083)

= 0.033+0.1079

= 0.1409

WACC= (1/1.4)(0.1409)+(2/1.4) (0.072)(1-0.32)

= (0.7142)(0.1409) + (1.4285)(0.072)(0.68)

= 0.1006+0.0699

= 0.1705(100)

= 17.05%

Hence the firm's WACC is 17.05%

6 0
2 years ago
What is the perimeter of the triangle shown on the coordinate plane, to the nearest tenth of a unit?
Akimi4 [234]

Answer:

25.6 units

Step-by-step explanation: From the figure we can infer that our triangle has vertices A = (-5, 4), B = (1, 4), and C = (3, -4).

First thing we are doing is find the lengths of AB, BC, and AC using the distance formula:

d=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}

where

(x_1,y_1) are the coordinates of the first point

(x_2,y_2) are the coordinates of the second point

- For AB:

d=\sqrt{[1-(-5)]^{2}+(4-4)^2}

d=\sqrt{(1+5)^{2}+(0)^2}

d=\sqrt{(6)^{2}}

d=6

- For BC:

d=\sqrt{(3-1)^{2} +(-4-4)^{2}}

d=\sqrt{(2)^{2} +(-8)^{2}}

d=\sqrt{4+64}

d=\sqrt{68}

d=8.24

- For AC:

d=\sqrt{[3-(-5)]^{2} +(-4-4)^{2}}

d=\sqrt{(3+5)^{2} +(-8)^{2}}

d=\sqrt{(8)^{2} +64}

d=\sqrt{64+64}

d=\sqrt{128}

d=11.31

Next, now that we have our lengths, we can add them to find the perimeter of our triangle:

p=AB+BC+AC

p=6+8.24+11.31

p=25.55

p=25.6

We can conclude that the perimeter of the triangle shown in the figure is 25.6 units.

Read more on Brainly.com - brainly.com/question/12560433#readmore

8 0
3 years ago
One person sends an email to 3 people. Those 3 people send it to 9 people, and those 9 send it to 27 people.
Naya [18.7K]
Exponential due to each number being exponented.
4 0
2 years ago
Approximate the square root to the nearest integer.<br> 37
REY [17]
6.083 would be the answer
8 0
3 years ago
Read 2 more answers
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