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LuckyWell [14K]
3 years ago
11

Why?

Mathematics
1 answer:
zalisa [80]3 years ago
5 0
(C) (1, sqrt2) only other answers wrong
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Select the two values of x that are roots of this equation.<br>x + 2x - 6 = 0​
VLD [36.1K]

For this case we must solve the following quadratic equation:

x ^ 2 + 2x-6 = 0

Where:

a = 1\\b = 2\\c = -6

The solution is given by:

x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}

Substituting:

x = \frac {-2 \pm \sqrt {2 ^ 2-4 (1) (- 6)}} {2 (1)}\\x = \frac {-2 \pm \sqrt {4 + 24}} {2}\\x = \frac {-2 \pm \sqrt {28}} {2}\\x = \frac {-2 \pm \sqrt {2 ^ 2 * 7}} {2}\\x = \frac {-2 \pm2 \sqrt {7}} {2}\\x = -1 \pm \sqrt {7}

Thus, we have two roots:

x_ {1} = - 1+ \sqrt {7}\\x_ {2} = - 1- \sqrt {7}

ANswer:

x_ {1} = - 1+ \sqrt {7}\\x_ {2} = - 1- \sqrt {7}

8 0
3 years ago
ANSWER&gt;&gt; DETERMINE THE RANGE OF THE FUNCTION.
olga2289 [7]

Answer:

D

Step-by-step explanation:

When the function or the coefficient in this case 1/4x^2 is positive it means it's opening up like a u, meaning all the values will be bigger than the C term or -5 in this case.

6 0
3 years ago
Read 2 more answers
What is the area of the triangle?<br> 16<br> 8<br> 10
sertanlavr [38]

Answer:

64

Step-by-step explanation:

Find the area of both triangles inside the bigger triangle and add them together.

Use the Pythagorean theorem to find the missing length of the leg in the smallest triangle:

a² + b² = c²

8² + b² = 10²

64 + b² = 100

36 = b²

6 = b

Calculate the area of the smaller triangle:

1/2(<em>b</em>x<em>h</em>)

1/2(6 x 8)

1/2(48)

24

Calculate the area of the bigger triangle:

<em>We know that the longer leg is 10 units because we were able to subtract the length of the smaller triangle's leg from 16.</em>

1/2(<em>b</em>x<em>h</em>)

1/2(10 x 8)

1/2(80)

40

Add both areas to find the area of the largest triangle:

40 + 24 = 64

3 0
3 years ago
The left and right page numbers of an open book are two consecutive integers whose sum is 385. Find these page numbers.
Alona [7]
Consecutive integers are integers that follow one another. For example, 2,3,4,5,etc.... are consecutive integers

So algebraically, consecutive integers follow the form x, x+1, x+2, etc...

Since the sum of two consecutive integers is 239, this means:

x%2Bx%2B1=239

2x%2B1=239 Combine like terms on the left side

2x=239-1Subtract 1 from both sides

2x=238 Combine like terms on the right side

x=%28238%29%2F%282%29 Divide both sides by 2 to isolate x

x=119 Divide

So our first number is x=119

So to find the next number, simply add 1 to it to get 119%2B1=120

Answer: So our two page numbers are 119 and 120
6 0
3 years ago
Laisha saved $20 053 She Spent $8995 how much does she have left
const2013 [10]

Answer:11,058

Step-by-step explanation:

Just subtract

8 0
3 years ago
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