Use an equation to find the value of k so that the line passing through (−4,k) and (6,−7) has a slope of −1/5.

Mathematics

2 answers:

Naddik [55]3 years ago

6 0

Answer:

k=43

Step-by-step explanation:

Virty [35]3 years ago

3 0

Answer:

k = -5

Step-by-step explanation:

Hi there!

$m=\displaystyle \frac{y_2-y_1}{x_2-x_1}$ where the two points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given information:

$\displaystyle -\frac{1}{5}= \displaystyle \frac{-7-k}{6-(-4)} \\\\\displaystyle -\frac{1}{5}= \displaystyle \frac{-7-k}{6+4} \\\\\displaystyle -\frac{1}{5}= \displaystyle \frac{-7-k}{10} \\\\\displaystyle -\frac{2}{10}= \displaystyle- \frac{-7-k}{10} \\\\-2=-7-k\\k=-5$

I hope this helps!

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1. if m<b = 60 what is AB<br><br><br>2. if m<b =45 what is the perimeter of the trapezoid.

nika2105 [10]

Answer:....

Step-by-step explanation:

first we need to find the base of the triangle, so the total is 20, they also give us 12, so we subtract 20-12=8 now divide. 8/2=4. Now we use the 4 and the 60. We use SOH-CAH-TOA, they give us the base now we need to find AB which is the hypotenuse. So we take out the TOA, and the 4 is the adjacent so we take out the SOH, we have CAH now, so we use cos. Now equation time....

$cos60=\frac{4}{x}$ since x is the bottom we switch $\frac{4}{cos60}$ , which equals 8. AB=8.

Now to find the perimeter. We still use the 4 to find the hypotenuse so we can find the outside side. For this one they tell us to use 45, so now lets see what method we use. SOH-CAH-TOA. We need the hypotenuse and they give us the adjacent, so we use cos again. Now setting up the equation...

$cos45=\frac{4}{x}$ x is at the bottom again to we switch.