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2 years ago

3(x−2)=9 :solve for x?

Mathematics

2 answers:

Nadusha1986 [10]2 years ago

6 0

Answer:

x=5

Step-by-step explanation:

3(x−2)=9

Divide both sides by 3.

x-2=9/3

Divide 9 by 3 to get 3.

x−2=3

Add 2 to both sides.

x=3+2

Add 3 and 2 to get 5.

x=5

GarryVolchara [31]2 years ago

3 0

Answer:

Step-by-step explanation:

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A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the bui

Sedbober [7]

Answer:

0.675 m/s

Step-by-step explanation:

Let height of shadow= y,CD=x

Height of man=2 m

Speed of man= $\frac{dx}{dt}=1. 8 m/s$

$\triangle ABD\sim\triangle ECD$

Therefore, $\frac{AB}{EC}=\frac{BD}{CD}$

$\frac{y}{2}=\frac{12}{x}$

$xy=24$

Differentiate w.r.t t

$x\frac{dy}{dt}+y\frac{dx}{dt}=0$

$x\frac{dy}{dt}=-y\frac{dx}{dt}$

$\frac{dy}{dt}=-\frac{y}{x}\frac{dx}{dt}$

When the man is 4 m from the building

Then, we have x=12-4=8 m

$\frac{dx}{dt}=1.8 m/s$

Substitute the values in above equation then, we get

$8y=24$

$y=\frac{24}{8}=3$

Substitute the values then we get

$\frac{dy}{dt}=-\frac{3}{8}\times 1.8=-0.675 m/s$

Hence, the length of his shadow on the building decreasing at the rate 0.675 m/s.

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3 years ago

In a group of 30 children, 80%can’t swim how many children can’t swim

adoni [48]

Answer:

Step-by-step explanation:

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2 years ago

Read 2 more answers

Please help with this question! Thank you :)

UkoKoshka [18]

Answer:

D. 116

Step-by-step explanation:

$V=(\frac{1}{3})\pi r^{2}h$

V = (1/3)π(4)²(6.9)

V = 36.8π

V ≈ 115.55

<em>Note: You will NEVER use slant height to calculate the area, only to calculate the normal height if unknown. In this problem, we did not use it at all so try not to get confused!</em>

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2 years ago

In a lab experiment, 3100 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to do

timama [110]

2,862 bacteria

6,200/26 = x/12
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2 years ago

two points on the line are (-10,1) and (5,-5).if the coordinate of another point on the line is -3,what is the x-coordinate?

zlopas [31]

Answer:

x-coordinate = 0

Step-by-step explanation:

(-10,1) , (5,-5)

m = (y₂ - y₁)/(x₂ - x₁) = ( -5 - 1 ) / ( 5 - [-10] )

= -6 / ( 5 + 10)

= -6/15 = -2/5

y - y₁ = m (x - x₁)

y - 1 = (-2/5) ( x - [-10] )

y - 1 = (-2/5) ( x + 10 )

5 * (y -1) = -2 (x + 10)

5y - 5 = -2x -20

2x + 20 + 5y -5 = 0

2x + 5y + 15 = 0

Another point (a, -3) in on this line

2 * a + 5 * (-3) = -15

2a -15 = -15

2a = -15 +15

2a = 0

a = 0

x-coordinate = 0

6 0

3 years ago