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3 years ago

What is the slope of the line that passes through the points (-2 4) and (8 -1)

Mathematics

2 answers:

Elina [12.6K]3 years ago

7 0

Answer: -2-8= -10

4+1 = 5 (the negative switches to a positive)

Your slope equals -10/5. You can look at this in a fraction for when you might use it later in point slope or slope intercept form, or you can just simplify it to -2. It might also be helpful to remember the numerator as the rise and the denominator as run, or “rise over run” if you need to graph it.

Slope = -10/5 or -2

Step-by-step explanation:

Slope, often referred to as the variable “m” can be found by solving y2-y1/x2-x1. You can do it the opposite way, though make sure the y-values are on the top.

Ahat [919]3 years ago

3 0

Answer:

-5/6

Step-by-step explanation:

-1-4=-5

8-(-2)=-6

the slope is m=-5/6

m=rise/run=y₂-y₁/x₂-x₁

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Can some one help me i have no idea what this is

ahrayia [7]

Answer:

b=-25

Step-by-step explanation:

10= -2/5b

------ -------

-2/5 -2/5b

b=-25

Check:

-2/5(-25)=10

10=10

5 0

3 years ago

Read 2 more answers

What is the mass of an object if it takes a net force of 32 N to accelerate

Sonbull [250]

We will find the answer using the second law of motion i.e. Force is equal to the product of mass and acceleration.

$\sf \: F=ma$

Where,

F is force
M is mass
A is acceleration

In our case,

F = 32 N
A = 0.88m/s
M = ?

Let's solve for M ~

$\tt \: 32 = m \times 0.88$

$\tt \: 32 = 0.88m$

$\tt \: 0.88m = 32$

$\tt \: m = 36.36$

Thus, The mass of object is 36.36 grams...~

5 0

2 years ago

Solve for the unknown variable 2/5(3x-4)=-4

Elanso [62]

Answer:

x = -2

Step-by-step explanation:

Solve for x:

(2 (3 x - 4))/5 = -4

Multiply both sides of (2 (3 x - 4))/5 = -4 by 5/2:

(5×2 (3 x - 4))/(2×5) = -4×5/2

5/2×2/5 = (5×2)/(2×5):

(5×2)/(2×5) (3 x - 4) = -4×5/2

5/2 (-4) = (5 (-4))/2:

(5×2 (3 x - 4))/(2×5) = (-4×5)/2

(5×2 (3 x - 4))/(2×5) = (2×5)/(2×5)×(3 x - 4) = 3 x - 4:

3 x - 4 = (-4×5)/2

(-4)/2 = (2 (-2))/2 = -2:

3 x - 4 = 5×-2

5 (-2) = -10:

3 x - 4 = -10

Add 4 to both sides:

3 x + (4 - 4) = 4 - 10

4 - 4 = 0:

3 x = 4 - 10

4 - 10 = -6:

3 x = -6

Divide both sides of 3 x = -6 by 3:

(3 x)/3 = (-6)/3

3/3 = 1:

x = (-6)/3

The gcd of -6 and 3 is 3, so (-6)/3 = (3 (-2))/(3×1) = 3/3×-2 = -2:

Answer: x = -2

6 0

3 years ago

Read 2 more answers

In a direct variation equation, f(x)=6 when x = 4. What is the direct variation equation?

jeyben [28]

Answer:

$f(x) = \dfrac{3}{2}x$

Step-by-step explanation:

The general direct variation equation is

y = kx

Plug in x = 4 and y = 6 and solve for k.

6 = k * 4

4k = 6

k = 6/4 = 3/2

$f(x) = \dfrac{3}{2}x$

7 0

4 years ago

An automobile firm wants to purchase either machine A or machine B. The intial cost of machines A and B are $40,000 and $50,000,

Fynjy0 [20]

Answer:

C. $118,000 and $110,000, respectively.

Step-by-step explanation:

Please consider the complete question.

An automobile firm wants to purchase either machine A or machine B. The intial cost of machines A and B are $40,000 and $50,000, respectively. The power consumption per year of machines A and B are 120 MWh and 100 MWh, respectively. The power cost is $40/MWh. The estimated operating and maintenance cost over 10 years is $30,000 for machine A and $20,000 for machine B.

First of all, we will find the amount spent on power consumption for 10 years by each machine as:

$\text{Machine A}=10\cdot 120(\$40)\\\text{Machine A}=\$48,000$