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3 years ago

How to solve the question for 5 and 6

Mathematics

1 answer:

Oksana_A [137]3 years ago

8 0

Answer:

5 is $1.35 for tip

Equation: y=6.26x+2.06

Step-by-step explanation:

Do a linear regression. Use desmos.com next time.

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Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (-3,5) and parallel to x + 4

Dmitry [639]

Answer:

$\boxed{\sf Standard-form :x + 4y -17=0 }\\$

$\boxed{\sf Slope-intercept\ form :y =\dfrac{-1}{4}x +\dfrac{17}{4}}$

Step-by-step explanation:

Here a equation of the line is given to us and we need to find out the equation of line which passes through the given point and parallel to the given line , the given equation is ,

$\longrightarrow x + 4y = 7\\$

Firstly convert it into slope intercept form of the line which is y = mx + x , as ;

$\longrightarrow 4y = -x + 7 \\$

$\longrightarrow y =\dfrac{-x}{4}+\dfrac{7}{4}\\$

On comparing it to y = mx + c , we have ,

$\longrightarrow m =\dfrac{-1}{4}\\$

$\longrightarrow c =\dfrac{7}{4}\\$

Now as we know that the slope of two parallel lines is same . Therefore the slope of the parallel line will be ,

$\longrightarrow m_{||)}=\dfrac{-1}{4}\\$

Now we may use point slope form of the line as ,

$\longrightarrow y - y_1 = m(x-x_1) \\$

On substituting the respective values ,

$\longrightarrow y - 5 =\dfrac{-1}{4}\{ x -(-3)\}\\$

$\longrightarrow y -5=\dfrac{-1}{4}(x+3)\\$

$\longrightarrow 4(y -5 ) =-1(x +3) \\$

$\longrightarrow 4y -20 = - x -3 \\$

$\longrightarrow x + 4y -20+3=0\\$

$\longrightarrow \underset{Standard \ Form }{\underbrace{\underline{\underline{ x + 4y -17=0}}}} \\$

Again the equation can be rewritten as ,

$\longrightarrow y - 5 = \dfrac{-1}{4}(x +3) \\$

$\longrightarrow y = \dfrac{-1}{4}x -\dfrac{3}{4}+5 \\$

$\longrightarrow y = \dfrac{-1}{4}x -\dfrac{20-3}{4} \\$

$\longrightarrow \underset{Slope-Intercept\ form }{\underbrace{\underline{\underline{ y =\dfrac{-1}{4}x +\dfrac{17}{4}}}}}\\$

6 0

2 years ago

Tax of northglenn city is calculated at 6.5%. Carlos is at a convenience store with his mom and needs to convert the percent the

Kisachek [45]

I think it’s 0.065 hope that helps

8 0

3 years ago

3{MCCORP.3c) Notebooks cost $1.20 each. This weekend they will be on sale for

Lyrx [107]

The discount percentage is 33%

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3 years ago

How many meters tall is the statue of liberty if it is thirty times the height of a 154 centimeter person?

Reptile [31]

The question states that the Statue of Liberty is 30 times the height of a 154 centimeter person and asks how many meters tall the the Statue of Liberty is.
This is basically asking us to find 30 times 154 centimeters and convert it to meters.

30 • 154 = 4620
This tells us that the Statue of Liberty is 4,620 centimeters (cm) tall.

Now we must convert 4,620 cm to meters (m).
There are 100 cm in 1 m.
This means 100 cm = 1 m.
That means that meters are 100 times larger than centimeters.
With this in mind, we can divide the number of cm by 100 to convert it to m.

4,620 ÷ 100 = 46.2
That means that 4,620 cm is equal to 46.2 m.

The final answer:
If the Statue of Liberty is 30 times taller than 154 centimeters, then the Statue of Liberty is 46.2 meters tall.
So the answer is 46.2 meters.

Hope this helps!

8 0

3 years ago

Read 2 more answers

Triangle: solve for x

NARA [144]

Answer:

6 root two

Step-by-step explanation:

geometric mean for leg t.

24*3=x2

x2=72

x=root(72)

6 root two

if my answer helps please mark as brainliest.

6 0

3 years ago