HELP I GIVE BRAINS TO RIGHT ANSWER

Find the slope of the line with the 2 points (0,-10)(5,-5)

Juliette [100K]

Answer:

$\frac{4}{5}$

Step-by-step explanation:

$M=\frac{x2-x1}{y2-y1}$

$M=\frac{5-1}{-5-(-10)}$

$M=\frac{4}{5}$

3 0

3 years ago

Complete the equation of the line through (2, 1) and (5, -8). Use exact numbers. y = ___

KATRIN_1 [288]

Answer:

y= 21/2(3)

Step-by-step explanation: Use exact numbers.

y = ___

3 0

4 years ago

What is the sum of the geometric sequence –4, 24, –144, … if there are 7 terms? A) 308,829 B) –159,964 C) –411,772 D) 119,973 .

alina1380 [7]

Sum of the geometric sequence:
S n = a * ( 1- r^n ) / ( 1 - r )
a = - 4 ( the 1st term of the sequence ), r = - 6, n = 7
S 7 = (- 4 ) * ( 1 - ( - 6 )^7 ) / 1 - ( - 6 ) = ( - 4 ) * 279937 / 7 = - 159,964
Answer: B )

5 0

3 years ago

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find a set of parametric equations of the line the line pases through the point (2,3,4) and is parallel to the xz-plane and the

joja [24]

Answer:

$x=2, y=3, z=4+t$

Step-by-step explanation:

For this case we need a line parallel to the plane x z and yz. And by definition of parallel we see that the intersection between the xz and yz plane is the z axis. And we can take the following unitary vector to construct the parametric equations:

$u= (u_x, u_y, u_z)= (0,0,1)$

Or any factor of u but for simplicity let's take the unitary vector.

Then the parametric equations are given by:

$x= P_x + u_x t$

$y= P_y + u_y t$

$z= P_z + u_z t$

Where the point given $P=(2,3,4)= (P_x , P_y, P_z)$

And then since we have everything we can replace like this:

$x= P_x + u_x t 2+ 0*t = 2$

$y= P_y + u_y t= 3+ 0*t = 3$

$z= P_z + u_z t = 4+ 1t = 4+t$

$x=2, y=3, z=4+t$

6 0

3 years ago

The sum of the digits of a two-digit number is 11. When the digits are reversed, the new number is 27 more than the original num

Gwar [14]

Answer: 47

Step-by-step explanation: To solve this problem, let's use t to represent our tens digit and u to represent our units digit so that the value of our number can be represented as 10t + u.

If we represent the value of our number as 10t + u, the value of the number with the digits reversed can be represented as 10u + t.

Since the first sentence states that the sum of the digits of a two-digit number is 11, that's t + u = 11.

Reading through our second sentence, when the digits are reversed, the new number is 27 more than the original number, that's 10u + t "is" which means equals 27 more than the original number that's 10t + u + 27.

So 10t + u = 10t + u + 27.

Before solving this system however, let's rearrange our second equation so that the t's and u's are on the same side by subtracting 10t and u from both sides to get 9u - 9t = 27 and when we rewrite our first equation above it, instead of writing it as t + u = 11, let's write it as t + u = 11 so that our u's and t's will match up in the system.

To solve this system, let's use addition so multiply the top equation by 9 to get 9u + 9t = 99 and 9u - 9t = 27 so that when we add the equations together the t's cancel and we get 18u = 126. Dividing both sided by 18, u = 7.

To find t, plug 7 back in for u in our first equation to get t + 7 = 11. Subtract 7 from both sides and t = 4.

Since our tens digit is 4 and our units is 7, our number must be 47.

I have also attached my work on a whiteboard.

5 0

4 years ago

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