Answer:
{-2/7, 2/7}
Step-by-step explanation:
Here you're being asked to solve the given equation 49w^2-4=0 for w with the hint that the solutions are fractions.
49w^2-4=0 is the product of the sum and difference of two squares:
(7w - 2)(7w + 2) = 0
Setting each factor equal to zero and solving for w, we get:
{-2/7, 2/7} as the solutions.
Answer:
y = -2.5 x + 6.5
Step-by-step explanation:
The equation of a line in slope-intercept form is written as
y = mx + b where m is the slope and b is the y-intercept.
a) We can find the slope of the line passing through (-1,30 and (-4, 5) by subtracting the y coordinates and dividing the difference by the difference if the x coordinates:
m = (5 - 3 ) = 2
-4 - (-1) -3
Now use this slope and substitute the coordinates of either of the given points to find the y-intercept, b . Let's use (-1,3):
y = mx + b
3 = -2 • -1 + b
3
3= 2 + b
3
7 = b
3
The equation of the line will be y = -2 x + 7
3 3
b) Using y = mx + b, we can substitute -2.5 for the slope and use the point to find the y-intercept:
y = -2.5x + b
1.5 = -2.5 • 2 + b
1.5 = -5 + b
6.5 = b
The equation of the line will be:
y = -2.5 x + 6.5
Answer:
x= -5, 2
Step-by-step explanation:
5x=3x-10. 4x=2x+4
5x-3x= -10. 4x-2x=4
2x= -10. 2x=4
x= -5. x=2
Answer:
21
Step-by-step explanation:
since its a rectangle there are two lengths of six. If you add them together you get 12. subtract the total perimeter of 54 by the 12 and get 42. Since there is 2 sides left divide by 2. You should get 21 for the width of the rectangle
Answer:
y = 45 / 2x + 50
Step-by-step explanation:
The best equation for the line of the best fit would be y = 45 / 2x + 50.
The slope would be 45 / 2 and the y-intercept would be ( 0 , 50 ).
I used the points, ( 0 , 50 ) and ( 4 , 140 ) to get the equation, slope, and the y-intercept.
I used those points because they were the most accurate ones that I know for now.
Also, remember the formula is, "y = mx + b."
