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2 years ago

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show that the equation y = 7/3x - 11/8 can be written in the standard form ax + by = c, in which a, b, and c are all integers

1 answer:

lilavasa [31]2 years ago

8 0

Step-by-step explanation:

<h2>please mark me as brainlist please I </h2>

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Find an equation of the circle that has center (-1, 3) and passes through (1.<br> 1)

pshichka [43]

Answer:

(x + 1)² + (y - 3)² = 8

Step-by-step explanation:

radius (r): √(1 - (-1))² + (1 - 3)² = √8 = 2√2

Formula for circle with center (h,k): (x – h)² + (y – k)² = r²

(x + 1)² + (y - 3)² = 8

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3 years ago

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A manufacturer wants to make open tin boxes from pieces of tin with dimensions 8 in. by 15 in. by cutting equal squares from the

Stells [14]

Answer:

$\frac{5}{3}$ in

Step-by-step explanation:

Let x be the side of square.

Length of box=8-2x

Width of box=15-2x

Height of box=x

Volume of box= $L\times B\times H$

Substitute the values then we get

Volume of box=V(x)= $(8-2x)(15-2x)x=(15x-2x^2)(8-2x)$

$V(x)=120x-30x^2-16x^2+4x^3$

$V(x)=4x^3-46x^2+120x$

Differentiate w.r.t x

$V'(x)=12x^2-92x+120$

$V'(x)=0$

$12x^2-92x+120=0$

$3x^2-23x+30=0$

$3x^2-18x-5x+30=0$

$3x(x-6)-5(x-6)=0$

$(x-6)(3x-5)=0$

$x-6=0\implies x=6$

$3x-5=0\implies x=\frac{5}{3}$

Again differentiate w.r.t x

$V''(x)=24x-92$

Substitute x=6

$V''(6)=24(6)-92=52>0$

Substitute x=5/3

$V''(5/3)=24(5/3)-92=-52$

Hence, the volume is maximum at x= $\frac{5}{3}$

Therefore, the side of the square , $x=\frac{5}{3}$ in cutout that gives the box the largest possible volume.

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3 years ago

Multiply and simplify the following expression -4√15 x(-√3)

larisa [96]

Answer:

$\large\boxed{12\sqrt5}$

Step-by-step explanation:

$\text{Use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\-----------------\\\\-4\sqrt{15}\cdot\left(-\sqrt3\right)=4\sqrt{(15)(3)}=4\sqrt{5\cdot3\cdot3}=4\sqrt5\cdot\sqrt9\\\\=4\sqrt5\cdot3=12\sqrt5$

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3 years ago

Please answer this ASAP

Lostsunrise [7]

$\text { Slope = } \dfrac{Y_2 - Y_1}{X_2 - X_1} = \dfrac{3-3}{6-2} = 0$

Answer B

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3 years ago

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Arisa [49]

Answer:

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Step-by-step explanation:

In order to be congruent their angles have to be the same and angle A (60º) and D (40º) are different

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