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3 years ago

Name the coordinates of M(-5, 8) under a translation along the vector < 3, -2 >.

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

8 0

Are there any answers to choose from ?

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Find a cubic polynomial whose zeros are 1/2,1 and -3.

Alexxx [7]

Answer:

2x³+3x²-8x+3

Step-by-step explanation:

So we know x=½,x=1 and x=-3

Then (2x-1)(x-1)(x+3) are the factors

(2x-1)[(x²+3x-x-3)]

(2x-1)[(x²+2x-3)]

2x³+4x²-6x-x²-2x+3

2x³+3x²-8x+3

5 0

1 year ago

Gravel is being dumped from a conveyor belt at a rate of 15 ft3/min, and its coarseness is such that it forms a pile in the shap

gayaneshka [121]

Answer:

0.13 ft/min

Step-by-step explanation:

We are given that

$\frac{dV}{dt}=15ft^3/min$

We have to find the increasing rate of change of height of pile when the pile is 12 ft high.

Let d be the diameter of pile

Height of pile=h

d=h

Radius of pile,r= $\frac{d}{2}=\frac{h}{2}$

Volume of pile= $\frac{1}{3}\pi r^2 h=\frac{1}{12}\pi h^3$

$\frac{dV}{dt}=\frac{1}{4}\pi h^2\frac{dh}{dt}$

h=12 ft

Substitute the values

$15=\frac{1}{4}\pi(12)^2\frac{dh}{dt}$

$\frac{dh}{dt}=\frac{15\times 4}{\pi(12)^2}$

$\frac{dh}{dt}=0.13ft/min$

7 0

3 years ago

Which set of measurements would create a triangle?

scZoUnD [109]

B. 5 cm, 6 cm, 7 cm . because the sum of two sides should be greater then the 3rd side

3 0

2 years ago

6n + 9 = -3 - 21 - 6

denis23 [38]

$6n+9=-3-21-6$
subtract the numbers: $-3-21-6=-30$
$6n+9=-30$
subtract 9 from both sides
$6n+9-9=-30-9$
simplify
$6n=-39$
divide both sides by 6
$\frac{6n}{6}= \frac{-39}{6}$
$n= \frac{-13}{6}$
decimal $n=-6.5$
Hope this helps :)

3 0

2 years ago

F(x)=3x-4 and g(x) = x2 find the value of f(3)-g(2) <br><br> show all work

zheka24 [161]

Answer: 1

f(x) = 3x - 4 => f(3) = 3.3 - 4 = 9 - 4 = 5

g(x) = x² => g(2) = 2² = 4

=> f(3) - g(2) = 5 - 4 = 1

Step-by-step explanation:

3 0

3 years ago