The width of the driveway is 5x-2 and the height of the carport is 6x+1.
The area of a rectangle is given by length * width. Since the area is 5x²+43x-18 and the length is x+9, to find the width, we divide:
The first term of the quotient will be the number of times x goes into 5x². It goes 5x times; multiply this by the divisor, and we have 5x²+45x to write under the first two terms of the dividend.
Subtracting these, we have -2x left over; bring down the -18. The second term of the quotient will be the number of times x+9 goes into -2x-18; it goes -2 times. Multiply this by the divisor, and we have -2x-18 with no remainder. This gives the quotient 5x-2.
The volume of the carport is given by the area of the base * the height; since the volume is 48x³+68x²-8x-3 and the area of the base is 8x²+10x-3, we divide to get the height.
The first term of the quotient will be the number of times 8x² goes into 48x³. It goes 6x times; multiply this by the divisor and we have 48x³+60x² to write under the first two terms of the dividend.
Subtract these and we have 8x²+10x left over; bring down the -3. The second term of the quotient will be the number of times 8x² goes into 8x²; it goes 1 time. Multiply this by the divisor and we have 8x²+10x-3 with no remainder. This makes the height 6x-3.
Answer:
its OX= -9
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Use the formula for angle formed by the chords:</u>
- Angle formed by 2 chords = 1/2( sum of intercepted arcs)
<u>Let the supplementary angle of x be y</u>
- x + y = 180 (straight angle)
<u>Find the value of y, using the above mentioned formula</u>
- y = 1/2(168 + 40) = 1/2(208) = 104
<u>Find the value of x:</u>
- x = 180 - y
- x = 180 - 104 = 76
Correct choice is C
Answer:
degree of length = 1
degree of width = 1
degree of height = 3
degree of volume = 4
Step-by-step explanation:
V = (4x - 1)( x)(x³) = (4x² - x)x³ = 4x∧5 - x∧4
dV/dx = 20x∧4 - 4x³
d²V/dx² = 80x³ - 12x²
80x³ - 12x² = 0
4x²(20x - 3) = 0
20x - 3 = 0
20x = 3
∴ x = 3/20
Length, 4x - 1 = 4 (3/20) - 1 = 3/5 - 1 = -2/5
∴ degree of length = 1
Width, x = 3/20
∴ degree of width = 1
Height, x³ = (3/20)³ = 27/8000
∴ degree of height = 3
Volume, 4x∧5 - x∧4 = 4(3/20)∧5 - (3/20)∧4 = 4(243/3200000) - (81/160000) = 243/800000 - 81/160000 = (243 - 405)/800000 = - 162/800000 = - 81/400000
∴ degree of volume = 4
Answer:
<h3>x=8</h3><h3>y=12</h3>
Step-by-step explanation:
<h3>for the first question:-2x-4-2x=4</h3><h3>2x-2x=4+4</h3><h3>x=8</h3><h3>y=4-2x</h3><h3>y=4-2×8</h3><h3>y=12 </h3>