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4 years ago

12

Which of the following is the additive inverse of 1/2

1 answer:

shtirl [24]4 years ago

8 0

Answer:

There is no additive inverse only a multiplication because 1/2 is division so you have to do multiplication. But the answer to that is 2.

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The The graph of g(x) is the result of translating the graph of f(x) = 3x six units to the right. What is the equation of g(x)?

kolbaska11 [484]

<u>Translation</u> the <u>graph</u> of the <u>function</u> $y=f(x)$ a units <u>to the right</u> gives you the function $y=f(x-a).$

If the graph of the function $f(x)=3^x$ is translated 6 units to the right, then the function becomes

$g(x)=f(x-6)=3^{x-6}.$

Answer: correct choice is A

3 0

4 years ago

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Find the distance between each pair of points.

scoundrel [369]

Answer:

(-1, -1) and (-4,5)

Distance between them ,

$\sqrt{ {( - 4 + 1)}^{2} + {(5 + 1)}^{2} }$

$= \sqrt{ {( - 3)}^{2} + {(6)}^{2} }$

$= \sqrt{9 + 36} = \sqrt{45} = 3 \sqrt{5}$

Option B

5 0

3 years ago

Suppose line segment AB has one endpoint at A(0, 0). What are the coordinates of B if (5, 3) is 1/3 of the way from A to B?

prisoha [69]

Answer:

$B(x_2,y_2)= (20,12)$

Step-by-step explanation:

Given

$A = (0,0)$

$Ratio; m : n = 1 : 3$

$Point\ at\ 1 : 3 = (5,3)$

Required

Coordinates of B

This question will be answered using line ratio formula;

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

In this case:

$(x,y) = (5,3)$

$(x_1,y_1) = (0,0)$

$m : n = 1 : 3$

Solving for $(x_2,y_2)$

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$ becomes

$(5,3) = (\frac{1 * x_2 + 3 * 0}{1 + 3},\frac{1 * y_2 + 3 * 0}{1 + 3})$

$(5,3) = (\frac{x_2 + 0}{4},\frac{y_2 + 0}{4})$

$(5,3) = (\frac{x_2}{4},\frac{y_2}{4})$

Comparing the right hand side to the left;

$\frac{x_2}{4} = 5$ -- (1)

$\frac{y_2}{4} = 3$ -- (2)

Solving (1)

$x_2 = 5 * 4$

$x_2 = 20$

Solving (2)

$y_2 = 3 * 4$

$y_2 = 12$

Hence;

$B(x_2,y_2)= (20,12)$

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4 years ago

Pls help !<br> i need help with all 3 questions quick

Zarrin [17]

Ask your mummy......

6 0

3 years ago

Pooja’s plant began sprouting 2 days before Pooja bought it, and she had it for 98 days until it died

xxMikexx [17]

Answer:

after sprouting it lived for 100 days

Step-by-step explanation:

6 0

3 years ago

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