ANSWER: $84
EXPLANATION:
We need to know the surface area of the room with the specified dimensions.
A = 2(wl + hl + hw)
w = 12
h = 8
l = 16
A = 2( (12 * 16) + (8 * 16) + (12 * 8) )
A = 2(192 + 128 + 96)
A = 2(416)
A = 832 square feet
832 / 150 = 5.546666666666667
(Round that up to the next whole number)
You need 6 gallons, or 6(14) dollars
Answer:
D[3, 3], C[1, 4], B[0, 1], A[4, -1]
Step-by-step explanation:
Whenever you are doing a 90° clockwise rotation ABOUT THE ORIGIN, it is in the form of [<em>y</em><em>,</em><em> </em><em>-</em><em>x</em>], meaning you take the <em>y</em><em> </em>and make it your <em>x</em><em>,</em><em> </em>then take your original <em>x</em><em> </em>and put its OPPOSITE.
90° counterclockwise rotation → [<em>-y, x</em>]
90° clockwise rotation → [<em>y, -x</em>]
I hope this helps, and as always, I am joyous to assist anyone at any time.
Step-by-step explanation:
C. khar de
B. le akfowasnl
A. wabenur
The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)
Step-by-step explanation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size
- If the equation of a line is ax + by = k is dilated, with center origin and scale factor k, then the equation of the image of the line is kax + kby = kc
- The line and its image are parallel
- The coordinates of a general point on the image is (kx , ky)
Line L is mapped onto the line T by a dilation centered at the origin and a scale factor of 3.
That means lint T is the image of line L after dilation
∵ The equation of line L is 2x - y = 7
∵ Line L is dilated by scale factor 3 and centered at origin
- That means multiply the equation of line L by 3 to find the
equation of line t
∵ Line T is the image of line L after dilation
∴ The equation of line T is (3)(2x) - (3)(y) = (3)(7)
∴ The equation of line T is 6x - 3y = 21
<em>Very important note:</em>
The equation of line T is the same with equation of line L but multiplied by the scale factor 3 ⇒ L and T are coincide lines (same line)
That means the equation of lines T and L is 2x - y = 7
The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)
Learn more:
You can learn more about dilation in brainly.com/question/2480897
#LearnwithBrainly
Let's actually find the roots, using the quadratic formula:
<span>p(x)=x^2+x+3 gives us a=1, b=1 and c=3.
-1 plus or minus sqrt(1^2-4(1)(3))
Then x = -----------------------------------------------
2
The discriminant here is negative, so the roots x will be complex:
-1 plus or minus sqrt(-11) -1 plus or minus i*sqrt(11)
x = ---------------------------------- = -------------------------------------
2 2
These are irrational roots; they cannot be expressed as the ratios of integers.</span>
