A line passes through the points (8, 1) and (6, 7). What is the slope of the line? Answer choices: A)-3 B) -1/3 C) 1/3 D)3

Which of the following factors gives a product of×²+5+4?

Sauron [17]

X square + 1x + 4x + 4
X(x+1)+4(x+1)
(X+1)(x+4)

7 0

3 years ago

Mr. Robison rides 136 miles per hour on his bike ride. He wants to ride more than 360 miles at the same rate during his next bik

Sever21 [200]

Answer: See explanation

Step-by-step explanation:

From the equation, we are informed that Mr. Robison rides 136 miles per hour on his bike ride and that he wants to ride more than 360 miles at the same rate during his next bike ride.

The inequality that represents all possible values for b, the number of hours Mr. Robison must bike will be:

136b > 360

b > 360/136

b > 2.65

Therefore, Me Robinson must bike for more than 2.65 hours

4 0

3 years ago

A venue plans to host trucking events regularly throughout the year. The expected revenue from each event is $100,000. The cost

iris [78.8K]

Answer:

The venue has to host 47 events throughout the year

Step-by-step explanation:

Profit:

Profit is revenue subtracted by costs.

Per event:

$100,000 revenue

$50,000 costs

$100,000 - $50,000 = $50,000 profit.

If the venue wants to make a total profit margin of $2,350,000, how many events does the venue have to host throughout the year?

1 event - $50,000 profit.

x events - $2,350,000 profit.

$50000x = 2350000$

$x = \frac{2350000}{50000}$

$x = 47$

The venue has to host 47 events throughout the year

6 0

3 years ago

How do you solve 38.2 X 10^-2 ?

Jet001 [13]

Since its to the tenth power and the exponent is negative all you have to do is move the decimal point two positions back and your new answer is 0.382

3 0

3 years ago

A line is tangent to the circle x^2+y^2=41, at the point (-4,-5)

VashaNatasha [74]

If the equation of the circle is x^2+ y^2 = 41, we must first understand the parts of the equation.
A general circle's equation is (x-h)^2+(y-k)^2= r^2
(h.k) is the radius of the circle
r is the radius of the circle
Another useful fact to know is that tangent lines touch the circle at one point (4,5)

Since in our original equation there are no h or k values, we can assume that the center of the circle is (0,0).

The formula for slope is Y1-Y2
X1-X2
We can break this down with our two points (center and tangent)
(0,0) and (-4,-5)
(X1,Y1) and (X2,Y2)

therefore, we will put the equation as such
0-(-5)= 5 = 5
0-(-4)= 4  4

this is our slope from the center to the point of tangency.

We know that tangent lines are perpendicular to the radius, which we've already found the slope of. Perpendicular lines are opposite reciprocals of the line they are perpendicular to.

Therefore, we take our slope from center to the tangent, and make it opposite and then take the reciprocal of that slope, which will give us the slope of the tangent line itself. (note: reciprocal means flip the numerator and denominator)
5 = -5 = -4
4 4 5

Now, we have a point on the line, and the line's slope. We can use slope-intercept equation to find the equation of the line.

Slope-int y=mx+b
(x,y) is a point,
m is the slope
b is the y intercept ( the point where x=0, or where its on the y axis)

now we plug things in
(-4,-5) is our point,
-4 is our slope
5

-5=-4(-4)+b After we plug things in, solve for b
5

-5= 3.2+b

-1.8= b or b= 1 4
5

Now we just need to rewrite our equation with all our components.
(-4.-5) = point
-4 = slope
5
1 4 = y-intercept
 5

y=-4 x+ 1 4 This is the equation of the tangent line
 5 5

Hope that helped

7 0

3 years ago