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3 years ago

7

Round 9.921 to the nearest hundredth

1 answer:

user100 [1]3 years ago

6 0

9.921 rounded to the nearest hundredth is 9.92.
The hundredth place is located at the two. Therefore, check the number to the right of the two (in this case 1). If this number is less than 5, you keep the number the same. If it is 5 or greater, you increase the number by one.

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Which of the following describes how geometric figures move without changing shape?

nordsb [41]

Answer:

A: Transformation

Step-by-step explanation:

That'd be A: Transformation.

5 0

3 years ago

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What is the equation of the line that is parallel to the line 5x 2y = 12 and passes through the point (−2, 4)? y = – five-halves

Oduvanchick [21]

Answer:

The answer is

$y = - \frac{5}{2} x - 1$

Step-by-step explanation:

If two equations are parallel it means that both their gradients are equal. We were given the equation:

$5x + 2y = 12$

in order to find the gradient of this equation that we are given we have to ensure that it is in its simplest form:

$5x + 2y = 12 \\ 2y = 12 - 5x \\ \frac{2y}{2} = \frac{12}{2} - \frac{5}{2} x \\ y = 6 - \frac{5}{2} x \: \\ or \: \\ y = - \frac{5}{2} x + 6$

Therefore the gradient of the parallel line with points (-2, 4) is also -5/2

$y = mx + c \\ 4 = - \frac{ 5}{2} ( - 2) + c \\ 4 = \frac{10}{2} + c \\ 4 = 5 + c \\ 4 - 5 = c \\$

$c = - 1 \\ hence \: the \: equation \: for \: the \: \\ parallel \: line \: is \\ \: y = - \frac{5}{2} x - 1$

8 0

2 years ago

Find the equation of the line that pass through the points (4,8) and (6,2

jeyben [28]

Answer:

3x + y = 20

Step-by-step explanation:

The equation of line passing through two points is determined by formula:

$y-y_{1}=\frac{y_{2}-y_{1}}{x_{2} - x_{1}}(x - x_{1})$

Here, (x₁ , y₁) = (4, 8)

and (x₂, y₂) = (6, 2)

Putting these value in above formula. We get,

$y-8=\frac{2-8}{6 - 4}(x - 4)$

⇒ $y-8=\frac{-6}{2}(x - 4)$

⇒ ( y - 8) = -3 (x - 4)

⇒ y - 8 = -3x + 12

⇒ 3x + y = 20

which is required equation.

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4 years ago

2(x+1)=3x+5 help rsm

Advocard [28]

Answer:

x=-3

Step-by-step explanation:

Given: 2(x+1)=3x+5

Distributive Property: 2x+2=3x+5

Subtract 2x on both sides: 2=x+5

Subtract both sides by 5: x=-3

Therefore, x=-3

3 0

3 years ago

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For the set D = (4,6,8,10), determine n(D)

pentagon [3]

n(D) = 4

Step-by-step explanation:

Given Data:

Set D = {4, 6, 8, 10}

The number of elements in a set is called the cardinal elements (or) cardinality of the sets. This is denoted by n(A).

Here it is denoted by n(D).

The number of elements in the set D is 4.

The cardinality of the set is 4.

Hence, n(D) = 4.

8 0

3 years ago