Answer:
y = - 2x + 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange y + 2x = m into this form by subtracting 2x from both sides
y = - 2x + m ← in slope- intercept form
with slope m = - 2
Parallel lines have equal slope, thus
y = - 2x + c ← is the partial equation
To find c substitute (4, 3) into the partial equation
3 = - 8 + c ⇒ c = 3 + 8 = 11
y = - 2x + 11 ← equation of line
Answer:
A: y=x3 +1
Step-by-step explanation:
Hopefully this helps!
Answer:
Choice A is correct; Kindly rate
Step-by-step explanation:
A function is said to be increasing over a given interval if the value of the function is increasing over the said interval. From the graph, the function is increasing over the interval since with every change in the x-value, the y-value is increasing
Answer:
Step-by-step explanation:
let the integers be x,x+1,x+2
x+x+1+x+2≤951
3x≤951-3
3x≤948
x≤316
greatest value of x=316
x+1=316+1=317
x+2=316+2=318
so integers are 316,317,318
Greatest inter=318
Answer:
64√3 ft²
Step-by-step explanation:
The short leg of the triangle has length (8 ft)(cos 60°), or (8 ft)(1/2), or 4 ft.
The long leg (represented by the dashed line) is (8 ft)(sin 60°), or
(8 ft)(√3/2), or 4√3. This is also the width of the horizontal trapezoid.
The area of this horizontal trapezoid is:
(sum of horizontal sides)
A = ------------------------------------- * (width)
2
Here, the area is:
(18 ft + (18 ft - 4 ft)
= ------------------------------------- * (4√3)
2
32 ft
= ----------- * 4√3 = 64√3 ft²
2
