Answer:
f = -10
( -3, -4) ( - 4 , -10)
Step-by-step explanation:
Formula for slope
m =( y_2 - y_1)/(x _2 - x _1)
m = 6
6 = (y_2 - y_1) / (x _2 - x_1)
Substitute the points
( -3 , -4) ( -4 , f)
x_1 = -3
y_1 = -4
x_2 = -4
y_2 = f
Insert the values into
6 = (y_2 - y_1) / (x_2 - x_1)
6 = (f - (-4))/ ( -4 - (-3)
6 = ( f + 4)/ ( -4 + 3)
Cross multiply
6 ( -4 + 3) = f + 4
6 ( -1) = f + 4
-6 = f + 4
-6 - 4 = f
f = -6 - 4
f = -10
( -3 , -4) ( -3 , f)
The value of f is -10
( -3 , -4) ( -3 , -10)
Answer:
The length is 8 inches and the width is 3 inches
Step-by-step explanation:
Let w represent the width.
The length can be represented by 2w + 2
Use the area formula, A = lw, and plug in the area and the expressions for the length and width:
A = lw
24 = (2w + 2)(w)
Simplify and solve for w:
24 = 2w² + 2w
2w² + 2w - 24
Divide everything by 2:
w² + w - 12
Factor:
(w + 4)(w - 3)
Set equal to 0 and solve for each factor:
w + 4 = 0
w = -4
w - 3 = 0
w = 3
Since the width cannot be negative, the width has to be 3.
Next, find the length by plugging in 3 as w:
2w + 2
2(3) + 2
= 8
So, the length is 8 inches and the width is 3 inches
Answer:
3,600 square ft
Step-by-step explanation:
Area = length x width
A = 75 x 48
A = 3,600 square ft
Answer:
3 x-intercepts
Step-by-step explanation:
f(x) = x⁴ - 5x²
Answer:
x=3
y=0
Step-by-step explanation:
2x-3=3
2x=6
x=3
x+y=3
3+y=3
y=0
