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2 years ago

What is the slope of a line that contains the points (-8,7) and (-4,-5)?

Mathematics

1 answer:

Pani-rosa [81]2 years ago

7 0

Answer:

-3

Step-by-step explanation:

To find the slope given two points

m = (y2-y1)/(x2-x1)

= (-5-7)/(-4- -8)

= (-12)/(-4+8)

=-12/4

= -3

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What is the overlap of Data Set 1 and Data Set 2?

Dima020 [189]

<h3>Answer: A) high</h3>

Explanation:

Each set spans from 3 to 7 as the min and max. Since we're dealing with the same endpoints, we have perfect overlap.

4 0

2 years ago

The general solution of 2 y ln(x)y' = (y^2 + 4)/x is

Sav [38]

Replace $y'$ with $\dfrac{\mathrm dy}{\mathrm dx}$ to see that this ODE is separable:

$2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}$

Integrate both sides; on the left, set $u=y^2+4$ so that $\mathrm du=2y\,\mathrm dy$ ; on the right, set $v=\ln x$ so that $\mathrm dv=\dfrac{\mathrm dx}x$ . Then

$\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v$

$\implies\ln|u|=\ln|v|+C$

$\implies\ln(y^2+4)=\ln|\ln x|+C$

$\implies y^2+4=e^{\ln|\ln x|+C}$

$\implies y^2=C|\ln x|-4$

$\implies y=\pm\sqrt{C|\ln x|-4}$

4 0

2 years ago

What is the answer ti 3\4 × g = 5/8

gladu [14]

For this case we have the following expression:

$\frac {3} {4} g = \frac {5} {8}$

We clear the value of the variable "g", for this:

We multiply by 4 on both sides of the equation:

$4 * \frac {3} {4} g = \frac {5} {8} * 4\\3g = \frac {20} {8}$

We divide by 3 on both sides of the equation:

$\frac {3g} {3} = \frac {20} {8 * 3}\\g = \frac {20} {24}$

We simplify:

$g = \frac {10} {12} = \frac {5} {6}$

Answer:

$g = \frac {5} {6}$

4 0

2 years ago

Erik drives 19.2 miles in 16 minutes.

Kipish [7]

Bruh it clearly says 65 mph so that’s the answer

7 0

3 years ago

How many solutions does the system have?

kramer

Answer:

B. No solutions

Step-by-step explanation:

y= -3x + 9

3y = -9x + 9

Rewrite the first equation below. Then, divide both sides of the second equation by 3 and write it below the first equation.

y = -3x + 9

y = -3x + 3

Now look at the two equations. They are both written in the slope-intercept form, y = mx + b, where m = slope, and b = y-intercept. They have the same slope (m = -3) and different y-intercepts (9 and 3), so they are equations of two different lines, but since the slopes are the same, the lines are parallel. Since the lines never intersect, there is no solution.

Answer: No solutions

8 0

2 years ago