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2 years ago

.....................

Mathematics

1 answer:

Studentka2010 [4]2 years ago

4 0

Answer:

B. √16 × √6

C. √96

Step-by-step explanation:

4√6

4 can be written as a square root.

4 = √16

√16 × √6

The square roots are multiplied, they can be written under one whole square root.

√(16 × 6)

√96

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A bag contains 4 red marbles, 2 blue marbles, 1 purple marble, and 3 green marbles.

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Answer:

10 outcomes

Step-by-step explanation:

The number of outcomes is the number of marbles in the bag since we are taking out one marble

4+2+1+3 = 10

There are 10 outcomes

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Square root of 90 minus r equals r

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Express 78 billion in scientific notation

ryzh [129]

Answer:

$7.8 * 10^{10}$ is scientific notation of 78 billion

Step-by-step explanation:

For scientific notation , follow the following notation:

$a * 10^{b}$ -------->(equation 1)

Let, $a^{'} = 78 billion$

$a^{'} = 78000000000$

$a^{'} = 78000000000.0$

In standard form

$a = 7.8000000000$

$a = 7.8$

As decimal point move 10 places from right to left, therefore

b = 10

Put the value of 'a' and 'b' in (equation 1)

$7.8 * 10^{10}$ is scientific notation of 78 billion

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2 years ago

What are the coordinates of the point LaTeX: \frac{3}{4}\:3 4of the way from A to B? coordinate plane with line segment AB. Poin

egoroff_w [7]

Answer: $\left(\dfrac{-7}{2},\dfrac{5}{4}\right)$ .

Step-by-step explanation:

It is given that Point A is at (-5, -4) and point B at (-3, 3).

We need to find the coordinates of the point which is 3/4 of the way from A to B.

Let the required point be P.

$AP:AB=3:4$

$AP:PB=AP:(AB-AP)=3:(4-1)=3:1$

It means, point P divides segment AB in 3:1.

Section formula: If a point divides a line segment in m:n, then

$\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)$

Using section formula, we get

$P=\left(\dfrac{3(-3)+1(-5)}{3+1},\dfrac{3(3)+1(-4)}{3+1}\right)$

$P=\left(\dfrac{-9-5}{4},\dfrac{9-4}{4}\right)$

$P=\left(\dfrac{-14}{4},\dfrac{5}{4}\right)$

$P=\left(\dfrac{-7}{2},\dfrac{5}{4}\right)$

Therefore, the required point is $\left(\dfrac{-7}{2},\dfrac{5}{4}\right)$ .

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2 years ago