Write an equation in standard form for a line that passes through (4,1) & (5,7)

Answers

Answer 1

Answer: y = mx + b

First equation 1 = m(4) + b, bring everything to one side m(4) + b - 1 = 0
Second equation 7 = m(5) + b, bring everything to one side m(5) + b - 7 = 0

Set them equal to each other,

m(4) + b - 1 = m(5) + b - 7

If you bring the b over to the left hand side it becomes

m(4) + b - b - 1 = m(5) - 7

m(4) - 1 = m(5) - 7

Solve for m

6 = m

Plug m = 6 into either equation from the beginning,

m(4) + b - 1 = 0

6(4) + b - 1 = 0

24 + b - 1 = 0

b = -23

Knowing m and b we can now make an equation

y = mx + b

y = 6x -23 Final answer

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Given that (-4,3) and (6,-3) are opposites points on the circle (i.e diameter) write the equation of the circle

Answers

The center of the circle is the midpoint of the points or ((-4+6)/2,(-3+3)/2)=(1,0). Now, the diameter is the distance between the points. Using distance formulas (or noticing that the y-values are the same so it is a horizontal line), the distance is 10. Therefore, the radius is 5. The equation of a circle is (x-a)^2+(y-b)^2=r^2 where (a,b) is the center. Therefore, the equation is (x-1)^2+(y-0)^2=5^2.

Which of the following does not represent a function?graph of a negative parabola oriented about the y axis with y intercept at positive 6

graph of an absolute value function oriented about the y axis

graph of an ellipse with x intercepts negative 8 and positive 8

graph of a line with a positive slope and y intercept of negative 6

Answers

funcion must pass the vertical line test
basically we see if any 1 x value produces 2 y values

we imidiately see the elipse and know that that is the answer

answer is elips is not funciton

What is 12 miles below sea level

Answers

Answer:

I'm assuming you mean the negative number of it so -12

Step-by-step explanation:

Answer:

-12 miles

Step-by-step explanation:

below is a key word, so you know you are going down

mayo runs m miles each day. De'Anthony runs twice as many miles is Mako. Altogether, they run 18 miles each day. How many miles does Mako run each day.

Answers

18 divided by 2 equals 9

If im doing this right i believe the answer would be 6

Find the lateral area the regular pyramid.

L. A. =

Answers

we have a formula to find the lateral surface area of regular pyramid.

$L.A=12.P.L$

$P$ is the perimeter of the base of regular pyramid

$L$ is the slant height .

At the metal-casting company where you work, you must set up a conveyor system to move castings from the furnace to the heat treatment area 55 yards away. The castings cool at the rate of 0.3°F (degrees Fahrenheit) per second and must not be allowed to cool more than 7°F before being heat treated. What is the minimum speed, in feet per second, that the conveyor must move?