Answer:
(x-5) (x+9)
Step-by-step explanation:
what multiplies to -45 but adds to positive 4? -5 and 9. that's how you get (x-5) (x+9)
Answer:
125in³
Step-by-step explanation:
A box that would perfectly fit the bowling ball will be a cube shape.
The box will have the dimensions 5in by 5in by 5in. These dimensions come from the diameter for the ball.
Calculate volume using V = s³, where "s" stands for a side.
V = s³
V = (5in)³
V = 125in³
Mr. Ryan needs a box with the volume 125 cubic inches.
Answer:
m = 0.667
Step-by-step explanation:
Calculate and show the solution for the x-intercept and y-intercept of 4x - 6y = 14.
Calculate the graph plot coordinates for 4x - 6y = 14
Solve 4x - 6y = 14 for x and also for y.
Calculate and show the solution for the slope of 4x - 6y = 14
Find x-intercept
The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y1=0 and then solve for x.
4x - 6y = 14
4x - 6(0) = 14
x1 = 3.5 y1 = 0
Find y-intercept
The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.
4x - 6y = 14
4(0) - 6y = 14
y2 = -2.333 x2 = 0
Get Graph Plot Coordinates
Getting two graph points will allow you to make a straight line on a graph. The plot coordinate format is (x1,y1) and (x2,y2).
Thus, we use the x-intercept and y-intercept results above to get the graph plots for 4x - 6y = 14 as follows:
(x1,y1) and (x2,y2)
(3.5,0) and (0,-2.333)
Find slope
The slope of the line (m) is the steepness of the line. It is the change in the y coordinate divided by the corresponding change in the x coordinate. Simply plug in the coordinates from above and solve for m to get the slope for 4x - 6y = 14
m = (y2 - y1)/(x2 - x1)
m = (-2.333 - 0)/(0 - 3.5)
m = 0.667
hope this is correct! c:
Step 1: Assign variable for the unknown that you need to find.
Step 2: List the given details
Distance between you and your friend is 12 miles. It means the total distance traveled by you by walk and your friend using bicycle when both travel towards each other to meet in 't' hours
Equation 1:
Your Walking rate and your friends Cycling rate is given below:
Step 3: Set up an equation using the relationship between distance, time and rate.
Substituting the above in equation 1
Distance traveled by you by walking from home and distance travelled by your friend in cycle in 0.8 hours is given below:
The right answer is of option D.
please see the attached picture for full solution...
Hope it helps...
Good luck on your assignment......
