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eimsori [14]
4 years ago
5

Which of the following is a point-slope (-2,4) and a slope of 3 ​

Mathematics
1 answer:
REY [17]4 years ago
8 0

Answer:

y - 4 = 3(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 3 and (a, b) = (- 2, 4), hence

y - 4 = 3(x - (- 2)), that is

y - 4 = 3(x + 2) ← in point- slope form

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Jane is training for a triathlon. After swimming a few laps, she leaves the health club and bikes 16 miles south. She then runs
lianna [129]

Answer:

The equation for the distance Jane's trainer bikes is x=\sqrt{16^2+12^2}.

Step-by-step explanation:

We have attached diagram for your reference.

Given:

Distance traveled on bike towards south = 16 miles

Distance she ran towards west = 12 miles

We need to find distance Jane's trainer bikes.

Solution:

Let the distance Jane's trainer bike be 'x'.

Now we will assume it to be right angled triangle.

So by Pythagoras theorem which states that;

"Square of the third side is equal to the sum of square of the other two sides."

framing in equation form we get;

x^2=16^2+12^2\\\\x=\sqrt{16^2+12^2}

Hence the equation for the distance Jane's trainer bikes is x=\sqrt{16^2+12^2}.

On solving we get;

x=\sqrt{16^2+12^2}\\\\x= \sqrt{256+144}\\ \\x=\sqrt{400} \\\\x=20\ miles

Hence Jane's trainer bikes a distance of 20 miles.

7 0
3 years ago
Type the missing number in this sequence:<br> C , 38, 28, 18, 8, -2, -12
VMariaS [17]

Answer:

48

Step-by-step explanation:

If you go in the opposite direction, you will notice that each time the numbers go up by ten. So if you counted ten up from 38 it would be 48!

Let me know if this helps! Bya!

8 0
3 years ago
Which of the lines graphed has a slope of -1/2 and a y-intercept of 3
MAXImum [283]

Answer:

The correct option is C).

Figure show the line with slope of -1/2 and a y-intercept of 3

Step-by-step explanation:

The equation of line is given by y=mx+c.

Where m is slope and c is y-intercept.

Given that line has slope

m=\frac{-1}{2} and c=3

Thus equation of line will be

y=mx+c.

y=\frac{-1}{2}x+3

To plot the line we need at least two points

Take x=0

y=\frac{-1}{2}x+3

y=\frac{-1}{2}0+3

y=3

The required point is A(0,4)

Take x=2

y=\frac{-1}{2}2+3

y=2

The required point is B(2,2)

Using this points to graph the given equation of line

Figure show the line with a slope of -1/2 and a y-intercept of 3

The correct option is C).

7 0
3 years ago
Helpme<br><br><br> Given f(x) = 3x - 1, find f(2).<br> 1<br> 2<br> 5<br> 4
dimulka [17.4K]

Answer:

5

Step-by-step explanation:

f(x)=3x-1

f(2)=3×2-1

f(2)=6-1

f(2)=5

7 0
3 years ago
Is a rise of -7 the same as a fall of 7
iVinArrow [24]

The rise of -7 means that there is 7 less. The fall of 7 would mean that it is also 7 less. So, yes. They are both the same thing.

7 0
3 years ago
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