All categories

3 years ago

Can you answer #1 and #3 please (find the slope) ASAP

Mathematics

2 answers:

daser333 [38]3 years ago

8 0

To calculate the slope of a line, you only need two points from that line, (x1, y1) and (x2, y2).

The equation used to calculate the slope from two points is:

(y2 - y1) / (x2 - x1)

#1:

First point : (5 ,7) = (x1, y1)

Second point : (2, -2) = (x2, y2)

Equation : (-2 - 7) / (2 - 5)

Solve the equation:

(-2 - 7) = -9

(2 - 5) = -3

-9/-3 = 3 (a negative number divided by a negative number gives you a positive number)

The slope of the line in #1 is : 3

#3:

First point : (5, 9) = (x1, y1)

Second point : (5, -2) = (x2, y2)

Equation : (-2 - 9) / (5 - 5)

Solve the equation:

In this case, you don't need to solve anything, because anything divided by zero will give you 0 (5 minus 5 = 0).

The slope of the line in #3 is : 0

Elodia [21]3 years ago

6 0

Answer: The answer to #3 is undefined while the answer to question 1 is 3 the slope is 3.

Step-by-step explanation: Using rise over run for question 1 we fin that going either 3 units up and then 1 unit to the right gives us the whole 3/1.

Or we could either go 6 units up and then 2 units to the right which gives us the fraction 6/2 which simplified is 3.

Hope this helps!

You might be interested in

Let f(x) = 1/x . Find the number b such that the average rate of change of f on the interval [2, b] is − 1/8

vekshin1

Answer:

b=4

Step-by-step explanation:

So, we have the function $f(x)=1/x$ . We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).

f(2) = 1/(2) = 1/2

So, we have the point (2, 1/2)

At point b, f(b) = 1/b.

Let's plug this into the slope formula:

$\frac{y_2-y_1}{x_2-x_1}=\frac{.5-\frac{1}{b} }{2-b} =-1/8$

Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).

$\frac{.5b-1}{2b-b^2} =\frac{-1}{8}$

Now, cross multiply.

$4b-8=b^2-2b$

$b^2-6b+8=0$

Solve for b. Factor using the numbers -4 and -2.

$=(b-4)(b-2)=0$

Thus, b=4 or b=2.

However, b=2 is not a possible solution since the interval [2,2] means nothing. Thus, b=4.

4 0

3 years ago

The speed limit on a road in Canada is 70 kilometers per hour. What is this speed in miles per hour? Round your answer to the ne

Marina CMI [18]

Answer:

43 miles/hr

Step-by-step explanation:

Use a conversion factor from km to miles while keeping track of your units:

70 km/hr x 0.62 miles/km = 43 miles/hr

4 0

3 years ago

Which of the following is equivalent to<br> 60 1/2

kotykmax [81]

Answer:

30 or 120 /4

Step-by-step explanation:

a^p/q here p denotes power raised and q denotes inverse power or root. So, 60^1/2 denotes square root of 60 raised to power 1.

3 0

2 years ago

Please Help ASAP!! NEED DONE QUICKLY!!

Kipish [7]

Answer:

z=t and y = 4y -- 6 for any t?

5 0

3 years ago

3/4 of the shirts in a store are black. 50% of the shirts are white and the remaining 12 shirts are red. How many black masks ar

saul85 [17]

Answer:

There are total 96 shirts out of which 72 are black and 12 are white and 12 are red.

Step-by-step explanation:

Let the total number of shirts be x.

Then 3/4= 0.75 shirts are black

50% or 50/100 =0.5 of 1/4 ( 1-3/4) remaining are white

and 12 are red

x= 0.75x+0.125x+12

x= 0.875x+ 12

x-0.875x= 12

0.125x= 12

x= 12/0.125

x= 96

There are total 96 shirts out of which 3/4 are black

96*0.75= 72 are black and

96*0.25= 24 are left behind out of which 50% are white.

12 are white and 12 are red.

4 0

3 years ago