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Ira Lisetskai [31]
3 years ago
13

What is the distance between (-6,-2) and (0,-8)

Mathematics
2 answers:
Vesnalui [34]3 years ago
5 0
Distance\ Formula \\  \sqrt{(y2-y1)^{2}+(x2-x1)^{2}} \\  \\  \sqrt{(-2-(-8))^{2}+(-6-0)^{2}}   \\  \\  \sqrt{(6)^{2}+(-6)^{2}} \\  \\  \sqrt{36+36}= \sqrt{72} \\  \\  \sqrt{9*8}= 3\sqrt{8}=3 \sqrt{4*2}=6 \sqrt{2} \\  \\ \boxed{6 \sqrt{2} }
mariarad [96]3 years ago
3 0
You can use the distance formula for this. √(x-x)² + (y-y)²

So, √(0 + 6) + (-8 +2)
     =√(6)² + (-6)²
     =√36 + 36
     =√72
     =6√2

So, the distance between those points is 6√2 units.
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Determine the factors of x2 − 7x − 10. (5 points) a (x + 2)(x − 5) b Prime c (x − 2)(x + 5) d (x + 10)(x − 1)
Savatey [412]

For this case we must factor the following expression:

x ^ 2-7x-10

To factor, we must find two numbers that when added together give -7 and when multiplied by -10.

It is observed that there are not two whole numbers that comply with the aforementioned.

Thus, the following equation applies:

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

Where:

a = 1\\b = -7\\c = -10

We replace:

x = \frac {- (- 7) \pm \sqrt {(- 7) ^ 2-4 (1) (- 10)}} {2 (1)}\\x = \frac {7 \pm \sqrt {49 + 40}} {2}\\x = \frac {7 \sqrt {89}} {2}

So, the roots are:

x_ {1} =\frac {7+ \sqrt {89}} {2}\\x_ {2} =\frac {7- \sqrt {89}} {2}

Answer:

x_ {1} =\frac {7+ \sqrt {89}} {2}\\x_ {2} =\frac {7- \sqrt {89}} {2}

6 0
3 years ago
Graph the function in the image.
il63 [147K]

Answer:

Here is the graph to the intercepts.

Step-by-step explanation:

Graph of (6, 4), (4, 3), (-2, 0)

Hope it helps :)

8 0
3 years ago
Given f(x) = -6x - 1 and g(x) = x3, choose<br> the expression for fºg)(x).
Gelneren [198K]

Answer:

- 6x³ - 1

Step-by-step explanation:

Substitute x = g(x) into f(x), that is

(f ○ g)(x)

= f(x³ )

= - 6(x³) - 1

= - 6x³ - 1

4 0
3 years ago
Glenn invested $15,000 at 3% interest compounded annually.
Anestetic [448]

15000 * (1+ 0.03)^4

15000  *1.1255 = 16882.63 total after 4 years


16882.63 - 15000 = 1882.63 total interest


Answer is D


3 0
3 years ago
Explain how to do this problem
Darina [25.2K]
The lines are parallel that mean that they both have a slope of 2 
3 0
3 years ago
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