Answer:
yes
Step-by-step explanation:
Answer:
11,400 ft^2
with no allowances for doors or windows
Step-by-step explanation:
ceiling: (35)(40) = 1400
walls: 2(35 x 16) + 2(40 x 16) = 2400
2400 = 1400 = 3800 ft^2
3800 ft^2 x 3 = 11,400 ft^2
Since it says what the area of the circle is, you need to work the problem backwards from finding the area. So it would be 100 ÷ 3.14 = 31.84 that is the radius. Next you need to find the diameter, so 31.84 × 2 = 63.68. Now you multiply 63.68 × 3.14 = 199.95, round that to 200, divide 200 ÷ 2 = 100 ÷ 2 = 50 miles
Answer= 50 miles
Step-by-step explanation:
Here, f(x) is the given polynomial.
By remainder Theorem,
When divided by (3x-1),
f(1/3) = -3........(1)
When divided by (x+1),
f(-1) = -7.........(2)
<em>Another</em><em> </em><em>polynomial</em><em> </em><em>is</em><em> </em><em>3</em><em>x</em><em>²</em><em>+</em><em>2</em><em>x</em><em>-</em><em>1</em>
Solving,
3x²+2x-1
= 3x²+3x-x-1
=3x(x+1)-(x+1)
=(3x-1)(x+1)
So
f(x) = (3x-1)(x+1)Qx + (ax+b)
For f(-1),
-7 = -a+b
b= a-7
For f(1/3),
-3 = a/3+b
or, -3 = a/3+a-7
or, 4×3 = 4a
or a = 3
Also, b = 3-7 =-4
Hence, remainder is (3x-4)
Answer:
1) The graph is as shown at the attached figure.
2) The line passes with (1,-3) and (2,-2)
Step-by-step explanation:
graph the line that passes with (3,-1) and has a y-intercept of -4
y-intercept is the value of y when x = 0
So, the line passes with (0 , -4)
The general form of the line y = mx + c
Where m is the slope and c is y-intercept
given y-intercept = -4 ⇒ ∴ c = -4
using the other point to find m
So, when x = 3 , y = -1
So, -1 = 3m - 4
Solve for m
3m = -1 + 4 = 3
m= 3/3 = 1
So, the equation of the line ⇒ <u>y = x - 4</u>
See the attached figure which represents the graph of the line
As shown at the graph the line passes through the points <u>(1,-3) and (2,-2)</u>
