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3 years ago

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5.9 in standard form and expanded form

2 answers:

Anuta_ua [19.1K]3 years ago

6 0

5+0.9 is how you write it in expanded form

lions [1.4K]3 years ago

3 0

<span>standard form: five and nine tenths</span>
expanded form: (5 X 1) + (9 X 0.1)

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What is the equation of the line that passes through the point (5,4) and is perpendicular to the line whose equation is 2x + y =

Zepler [3.9K]

The equation of the line that passes through the point (5,4) and is perpendicular to the line whose equation is 2x + y = 3 in standard form is x - 2y = - 3

<u>Solution:</u>

Given, line equation is 2x + y = 3

2x + y – 3 = 0 ----- eqn (1)

We have to find a line that is perpendicular to 2x + y – 3 = 0 and passing through (5, 4).

Now, let us find the slope of the given line,

$\text { Slope of a line }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-2}{1}=-2$

$\text { Slope of a line } \times \text { slope of perpendicular line }=-1$

$\begin{array}{l}{-2 \times \text { slope of perpendicular line }=-1} \\\\ {\text { Slope of perpendicular line }=-1 \times \frac{1}{-2}=\frac{1}{2}}\end{array}$

Now, slope of our required line = 1/2 and it passes through (5, 4)

<em><u>The point slope form is given as:</u></em>

$y-y_{1}=m\left(x-x_{1}\right)$

$\text { where } m \text { is slope and }\left(x_{1}, y_{1}\right) \text { is point on the line. }$

$\text { Here in our problem, } \mathrm{m}=\frac{1}{2}, \text { and }\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right)=(5,4)$

$y-4=\frac{1}{2}(x-5)$

<em><u>Now let us convert to standard form:</u></em>

The standard form of a line is just another way of writing the equation of a line.

The standard form of an equation is Ax + By = C. In this kind of equation, x and y are variables and A, B, and C are integers.

2(y – 4) = 1(x - 5)

2y – 8 = x – 5

x – 2y - 5 + 8 = 0

x - 2y + 3 = 0

x - 2y = - 3

Hence, the line equation in standard form is x - 2y = - 3

4 0

3 years ago

8. Sheila buys two concert tickets from her friend.

dalvyx [7]

Cost of two tickets that Sheila paid to her friend = $ 90

Actual price of 1 ticket = $ 52.50

So, actual price of 2 tickets = 52 x 2 = 105

Hence, markdown or discount Sheila's friend gave her is =

105 - 90 = 15

The answer is $15.

7 0

3 years ago

Read 2 more answers

Please tell me which ones go on the answer.

tia_tia [17]

1. 15*15= 225
2. 8*8= 64
3. 225+64= 289
4 . 17*17=289

6 0

3 years ago

Hao bought a 16-pound bag of dog food. If his dog eats pound of food every day, for how many days will the bag of dog food last?

densk [106]

Answer:

uh 1 pound per day 16 pounds so 16 days, i guess

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A town has a population of 200,000 and decreases at 4.5% every year.what will be the population after 30 years?

sveticcg [70]

ANSWER
= 200000 x (1-4.5%)^30
= 200000 x (1-0.045)^30
= 200000 x 0.955^30
= 50249.43
= <u>50249</u>

4 0

4 years ago

Read 2 more answers