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3 years ago

The point (-1, 8) is on a line that has a slope of -3. Is the point (4, -7) on the same line?

1 answer:

3 0

First you can use the formula and find your line so the formula is : y = mx + b and m is the slope and b is the y-intercept so now you should find b :
8 = -3 (-1) +b ⇒ 8 = 3 + b ⇒ 5 =b so now you have : y = -3x + 5 and if you want to know that the (4 , -7) is in this line or not you can say :
-7 = -3(4) + 5 ⇒ -7 = -12 + 5 ⇒-7 = -7 so the point is on the same line :)))
i hope this is helpful
have a nice day

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A wise man once said, “400 reduced by 3 times my age is 163.” What is his age? ( I need the step by step equation to solve this)

Ainat [17]

Answer: the wise man is 79

Step-by-step explanation:

400 - 3x = 163

400–163 =3x

237 = 3x or 3x = 237 or x = 79…

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3 years ago

I NEED HELP PLEASE, THANKS.

saveliy_v [14]

Answer:

B. $33.7 mm; 54mm^2$

Step-by-step explanation:

To find the perimeter, use the formula:

P = a + b + c

P = 12 + 12 + 9.7

P = 33.7

To find area, use the formula:

A = $\frac{1}{2} bh$

A = $\frac{1}{2} (12)(9)$

A = $\frac{1}{2} (108)$

A = 54

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3 years ago

What is the value of tan (-2pi/3)?

wolverine [178]

This revolves around exact trig values - no easy way to say this, you just need to memorise them. They are there for sin cos and tan, but I will give you the main tan ones below - note this is RADIANS (always work in them when you can, everything is better):

tan0: 0
tanpi/6: 1/sqrt(3)
tanpi/4: 1
tanpi/3: sqrt(3)
tanpi/2: undefined

Now we just need to equate -2pi/3 to something we understand. 2pi/3 is 1/3 of the way round a circle, so -2pi/3 is 1/3 of the way round the circle going backwards (anticlockwise), so on a diagram we already know it's in the third quadrant of the circle (somewhere between pi and 3pi/2 rads).
We also know it is pi/3 away from pi, so we are looking at sqrt(3) or -sqrt(3) because of those exact values.

Now we just need to work out if it's positive or negative. You can look up a graph of tan and it'll show that the graph intercepts y at (0,0) and has a period of pi rads. Therefore between pi and 3pi/2 rads, the values of tan are positive. Therefore, this gives us our answer of sqrt(3).

4 0

4 years ago

Read 2 more answers

Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following.

goldfiish [28.3K]

Answer: a) 0.2500

b) 0.1875

c) 0.4375

d) 1.414

e) 0, x/2

f) 1.3333

g) 0.4714

h) 2

Step-by-step explanation: see attachment below

3 0

3 years ago

What is the value of x?

nalin [4]

Answer:

x = 42.9 m

Step-by-step explanation:

Corresponding sides of similar triangles MAB and MNP are proportional. This means ...

x/MP = MA/MN

However, we don't have a number for MA yet, so we need to find it.

MA +AN = MN

MA = MN - AN subtract AN

MA = 67.2 m - 32 m = 35.2 m

Now, we can use this to find x.

x = MP · (MA/MN) = (81.9 m) · 35.2/67.2

x = 42.9 m

4 0

3 years ago