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Butoxors [25]
3 years ago
10

X^2 + 2x + 8 find the solution

Mathematics
1 answer:
Lina20 [59]3 years ago
4 0

x^2 + 2x + 8

First, we'll try using the AC method.

(Because the degree of the quadratic is 2, there are two solutions.)

We cannot split the term using the AC method.

We'll instead use the quadratic formula.

\frac{-b +/- \sqrt{b^2 - 4ac} }{2a}

Plug in values.

(-2 +/- √4 - 32)/2

(-2 +/- √-28)/2

(-2 +/- i√28)/2

(-2 +/- 2i√7)/2

(-1 +/- i√7)

<h3>x = (-1 + i√7)</h3><h3>x = (-1 - i√7)</h3><h3>The two values of x are found.</h3>
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maria [59]

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exponential form:

(0.9)^5 = 0.59045

6 0
3 years ago
Triangle ABC has vertices at A(-2,1), B(-2,-3), and C(1,-2). What is the area of the triangle? a 18 square units b 9 square unit
natka813 [3]

Answer:

Option C. 6 square units

Step-by-step explanation:

we know that

Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.  

Let  

a,b,c be the lengths of the sides of a triangle.  

The area is given by:

A=\sqrt{p(p-a)(p-b)(p-c)}

where

p is half the perimeter

p=\frac{a+b+c}{2}

we have

Triangle ABC has vertices at A(-2,1), B(-2,-3), and C(1,-2)

the formula to calculate the distance between two points is equal to

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

step 1

Find the distance AB

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

d=\sqrt{(-4)^{2}+(0)^{2}}

dAB=4\ units

step 2

Find the distance BC

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

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

dBC=\sqrt{10}\ units

step 3

Find the distance AC

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

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

dBC=\sqrt{18}\ units

step 4

a=AB=4\ units

b=BC=\sqrt{10}\ units

c=AC=\sqrt{18}\ units

Find the half perimeter p

p=\frac{4+\sqrt{10}+\sqrt{18}}{2}=5.70\ units

Find the area

A=\sqrt{5.7(5.7-4)(5.7-3.16)(5.7-4.24)}

A=\sqrt{5.7(1.7)(2.54)(1.46)}

A=\sqrt{35.93}

A=6\ units^{2}

7 0
3 years ago
In a New York coupon experiment, the experiment was conducted to test the effects of the face value of coupons on the likelihood
steposvetlana [31]

Answer:

The correct approach will be "the likelihood of cashing the coupon".

Step-by-step explanation:

  • That what's being examined as well as calculated throughout the experiment or observational study seems to be the dependent variable (almost always widely recognized as that of the responding variable). As a consequence of the modifications to something like the independent variable, that's what modifications.  
  • Whether large you are really at various ages would be an illustration of some kind of dependent variable.
5 0
3 years ago
. Noel buys 12 balloons and 35 paper cups for his birthday party. What is the ratio of balloons to paper cups? 3.
Varvara68 [4.7K]

Answer:

12:35

Step-by-step explanation:

7 0
3 years ago
Which answer choice shows 4 + 0.3 + 0.09 written in standard form?
puteri [66]

Solution:

<u>A few changes were made:</u>

  • 4 as 4.00.
  • 0.3 as 0.30

<u>New equation:</u>

  • 4 + 0.3 + 0.09 = 4.00 + 0.30 + 0.09

<u>Solving the equation:</u>

  • 4.00 + 0.30 + 0.09
  • => 4.39 (Refer to image for work)

Correct option is B.

8 0
2 years ago
Read 2 more answers
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