14 - 2x = 3(x - 2) what is the answer

What is the slope of (-1,6) and (2,3)?

LenKa [72]

Answer:

-1

Step-by-step explanation:

For a line joining two points (x1, y1) and (x2, y2), it's slope is given as:

$\boxed{ \mathsf{slope = \frac{ y_{2} -y _{1}}{ x_{2} - x _{1}} }}$

Here, the two points are (-1, 6) and (2, 3) in place of (x1, y1) and (x2, y2).

Solving for slope:

$\implies \mathsf{ \frac{3 - 6}{2 - ( -1 )} }$

$\implies \mathsf{ \frac{ - 3}{2 + 1 } }$

$\implies \mathsf{ \frac{ - 3}{3 } }$

$\implies \mathsf{ - 1 }$

Hence, the slope of the line joining the given points is -1.

4 0

3 years ago

Which of the statement is true

matrenka [14]

Answer:

c

Step-by-step explanation:

Profit = 4.5 (240)-1080 = 0

the maximum profit would occur when u sell all 350 tickets,

profit = 4.5(350)-1080 = 495 (not a nor b)

5 0

3 years ago

Read 2 more answers

jill received 45 ballots from the student council election. Mr. Alvarez, the advisor drops off quite a few more and jill now has

Vitek1552 [10]

Answer: 205

Step-by-step explanation:

Initially, Jill received ballots from the student council election = 45

After, dropping ballot by Mr. Alvarez, new ballots he has = 250

Hence, The Ballots drooping by Mr. Alvarez = new ballots Jill has - Initial ballots Jill has

= 250 - 45

= 205

Therefore, Mr. Alvarez drop off 205 ballots.

8 0

3 years ago

Find the measure of each marked angle. (9x-27) (4x)

valkas [14]

Answer:

(9×-27)

= (243×4)

= 972

5 0

3 years ago

2. Use the following picture for this question:

Art [367]

Answer:

a. $24\sqrt{3}$ and 41.6

b. 52.1

Step-by-step explanation:

a.

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

Note: the exact value of tan 60 is $\sqrt{3}$

Thus, we can write $Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}$

Approximate value (rounded to nearest tenth): $24\sqrt{3} =41.6$

b.

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

$Sin(53)=\frac{41.6}{x}\\x=\frac{41.6}{Sin(53)}=52.1$

4 0

3 years ago

14 - 2x = 3(x - 2) what is the answer​

14 - 2x = 3(x - 2) what is the answer