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1 year ago

2. Write the mixed number -5(4/9) as a fraction in three different ways. Thenwrite the mixed number as a decimal.

Mathematics

1 answer:

emmasim [6.3K]1 year ago

3 0

Fraction #1

$-5\frac{4}{9}$

Fraction #2

$-\frac{49}{9}$

Fraction #3

$-4\frac{13}{9}$

Fraction #4

$-3\frac{22}{9}$

Decimal:

$-5\frac{4}{9}\approx5.4444$

Answer:

$-5\frac{4}{9}$

$-\frac{49}{9}$

$-4\frac{13}{9}$

Decimal: 5.4444

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Point B has coordinates (1,2). The x-coordinate of point A is -8. The distance between point A and point B is 15 units. What

Xelga [282]

Answer:

The possible coordinates of point A are $A_{1} (x,y) = (-8, 14)$ and $A_{2} (x,y) = (-8, -10)$ , respectively.

Step-by-step explanation:

From Analytical Geometry, we have the Equation of the Distance of a Line Segment between two points:

$l_{AB} = \sqrt{(x_{B}-x_{A})^{2} + (y_{B}-y_{A})^{2}}$ (1)

Where:

$l_{AB}$ - Length of the line segment AB.

$x_{A}, x_{B}$ - x-coordinates of points A and B.

$y_{A}, y_{B}$ - y-coordinates of points A and B.

If we know that $l_{AB} = 15$ , $x_{A} = -8$ , $x_{B} = 1$ and $y_{B} = 2$ , then the possible coordinates of point A is:

$\sqrt{(1+8)^{2}+(2-y_{A})^{2}} = 15$

$81 + (2-y_{A})^{2} = 225$

$(2-y_{A})^{2} = 144$

$2-y_{A} = \pm 12$

There are two possible solutions:

1) $2-y_{A} = -12$

$y_{A} = 14$

2) $2 - y_{A} = 12$

$y_{A} = -10$

The possible coordinates of point A are $A_{1} (x,y) = (-8, 14)$ and $A_{2} (x,y) = (-8, -10)$ , respectively.

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3 years ago

6x3 + 8x2 – 2x + 4 and 10x3 + x2 + 11x + 9

balu736 [363]

6x3+8x2-2x+4=30-2x

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3 years ago

(-1, -5) (-2, -4) (-5,-1) (-4, -2)

notka56 [123]

Answer:

(-4, -2)

Step-by-step explanation:

A = (-1, 2)

Add (-3, -4) to that and you get ...

A' = (-1-3, 2-4) = (-4, -2) . . . . matches the last choice

The translation function has the effect of moving the point left 3 and down 4. You can count grid squares on the graph to see that A' ends up at (-4, -2).

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3 years ago

8.1+3.8h-5.6h=-7.2 What is h?

mihalych1998 [28]

The answer will be
-1.8h=-7.2-8.1
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2 years ago

Read 2 more answers

2^5×5×11 and 2^3×5^2×7

IceJOKER [234]

Answer:

1. 1760

2. 1400

Step-by-step explanation:

2^5 = 32

32 × 5 = 160

160 × 11 = 1760

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8 × 25 = 200

200 × 7 = 1400

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2 years ago