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2 years ago

What is 100,203 in expanded form.

Mathematics

2 answers:

Andru [333]2 years ago

6 0

100,203 in expanded form:

$100 + 200 + 3$

slega [8]2 years ago

3 0

100,000+ 200+3=100,203

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Find PR in this shape

RUDIKE [14]

2 square root 51 or 14.28

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2 years ago

What is y in the first line if the line passing though (-1,y) and (1,0) perpendicular to the line passing (8,4) and (-1,1) ?

malfutka [58]

Answer:

$6$ .

Step-by-step explanation:

A line that goes through $(x_{0},\, y_{0})$ and $(x_{1},\, y_{1})$ where $x_{0} \ne x_{1}$ would have a slope of $m = (x_{1} - x_{0}) / (y_{1} - y_{0})$ .

The slope of the line that goes through $(8,\, 4)$ and $(-1,\, 1)$ would thus be:

$\begin{aligned}m_{2} &= \frac{1 - 4}{(-1) - 8} \\ &= \frac{(-3)}{(-9)} \\ &= \frac{1}{3}\end{aligned}$ .

Two lines in a cartesian plane are perpendicular to one another if and only if the product of their slopes is $(-1)$ .

Thus, if $m_{1}$ and $m_{2}$ denote the slope of the first and second lines in this question, $m_{1}\, m_{2} = (-1)$ since the two lines are perpendicular to one another. Since $m_{2} = (1/3)$ , the slope of the first line would be:

$\begin{aligned} m_{1} &= \frac{(-1)}{m_{2}} \\ &= \frac{(-1)}{(1/3)} \\ &= (-3)\end{aligned}$ .

Given that the first line goes through the point $(1,\, 0)$ , the point-slope equation of that line would be:

$(y - 0) = (-3)\, (x - 1)$ .

$y = -3\, x + 3$ .

Substitute in $x = (-1)$ to find the $y$ -coordinate of the point in question:

$y = -3\times (-1) + 3 = 6$ .

4 0

2 years ago

Condense log₂ 4 + log₂ 5

yawa3891 [41]

Answer: $\log_2(20)$

Work Shown:

$\log_2(4) + \log_2(5)\\\\\log_2(4*5)\\\\\log_2(20)\\\\$

The rule used is $\log_{b}(\text{x}) + \log_{b}(\text{y}) = \log_{b}(\text{xy})$

7 0

2 years ago

Read 2 more answers

Water stations will be placed every 400 meters of a 5 - kilometer race. How many water stations are needed? (hint 1 kilo=1,000 m

Neko [114]

1 kilo=1000 meters.
The race is 5,000 meters total.
5000 divided by 1 station every 400 miles.
5000/400=12.5
12.5 water stations!
I dont know if you're supposed to round but there you go!

8 0

3 years ago

Trigonometric identities assignment 4

kykrilka [37]

Answer:

Answer: choice D.

Step-by-step explanation:

Trigonometric Functions

We need to recall some properties and definitions of the trigonometric functions.

$\displaystyle \tan \theta=\frac{\sin\theta}{\cos\theta}$