Answer:
y = mx+b
m represents the slope and b represents the y-intercept
since you have the slope and a point you can find here the line crosses the y-axis
y = -1/2x + b
the point (-14, 6) can be substituted into the eq for x and y
(6) = -1/2(-14)+b
6 = 7 +b (subtract 7 from both sides)
-1 = b
The line crosses the y-axis at -1
Answer:
Step-by-step explanation:
if we have 5^22 and 5^26
5^26= 5^22 x5^4
5^26 is bigger by the number 5^4
Answer:
C ; A
Step-by-step explanation:
<u>Question 30:</u>
Perimeter is the sum of all sides.
Perimeter for a recatngle can be found with the formula:
2(L+W)
Length is 7
Width is 4
Plug our values in.
2(7+4)
2(11)
22
Answer C
<u>Question 31:</u>
Circumference of a circle can be found with the formula:
πd.
Diameter of the given circle is 6.
Plug it in
6π
Round π to 3.14
6(3.14)
18.84
Answer A
<span>First of all, there should be coherence for the units of measurement -- either they are all meters or they are all ft. I would assume they are all ft.
The correct answer is 75 ft above. T
The explanation is the following: suppose the ground level is the x-axis, the 2 feet of the arch lie respectively on (0,0) and (100,0) on the ground level. Since the arch is 100ft high, the vertex of the parabola will be the point (100,100). Thus, we can find the equation describing the parabola by putting the three points we know in a system and we find that the equation of the parabola is y=(-1/100)x^2+2
To find the focus F, we apply the formula for the focus of a vertical axis parabola, i.e. F(-b/2a;(1-b^2+4ac)/4a).
By substituting a=-1/100, b=2 and c=0 into the formula, we find that the coordinates of the focus F are (100,75).
So we conclude that the focus lies 75ft above ground.</span>
