All categories

3 years ago

Nathanial is using the quadratic formula to solve 0=x^2+5x-6. His steps are shown below. What are the solutions to the equation?

Mathematics

1 answer:

ollegr [7]3 years ago

8 0

Answer:

x=1, x=-6

Step-by-step explanation:

x^2+5x-6=0 can be reduced to (x+6)(x-1)=0

we now have x+6=0 and x-1=0

solve by subtracting 6 from each side in the first equation and adding 1 to each side in the second.

x=1, x=-6

You might be interested in

How do you subtract -2 from 3

jonny [76]

Make a number starting from -2 and ending with 3. Start at -2 and go to the right 3 times and you get 1

8 0

3 years ago

What is the nth derivative of sin^3x?

Vladimir79 [104]

Using the chain rule.

sin^3(x) = [sin(x)]^3

d/dx[sin(x)]^3∗d/dx[sin(x)]

d/dx sinx = cosx
d/dx cosx = -sinx 
d/dx (-sinx) = -cosx 
d/dx (-cosx) = sinx
back to where we started from!!! 
So,
repeat repeat repeat !!

5 0

3 years ago

A dilation with a scale factor of 4 is applied to the three line segments shown. The resulting images are P'Q', A'B', and M'N' D

alexira [117]

Answer:

1st into the 3rd 2nd into 1st 3rd into 3rd

Step-by-step explanation:

8 0

2 years ago

How do you turn 3/5 to a decimal

Simora [160]

Answer: the answer is 0.6

Step-by-step explanation:

you divide 3 by 5

5 0

3 years ago

A boat sails on a bearing of 77 degrees for 135 miles and then turns and sails 207 miles on a bearing of 192 degrees. Find the d

Andrew [12]

Answer:

193.53 miles

Step-by-step explanation:

Please see the diagram for understanding of how the angles were derived,

Applying Alternate Angles, ABO =77 degrees

The bearing from B to C is 192=180+12 degrees

Subtracting 12 from 77, we obtain the angle at B as 65 degrees.

We want to determine the boat's distance from its starting point.

In the diagram, this is the line AC.

Applying Law of Cosines:

$b^2=a^2+c^2-2acCosB\\b^2=207^2+135^2-2(207)(135)Cos65^\circ\\b^2=37453.8654\\b=\sqrt{37453.8654} \\b=193.53\: miles$

The distance of the boat from its starting point is 193.53 miles (correct to 2 decimal places).

6 0

3 years ago