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3 years ago

What is the equation in slope-intercept form of a line that is perpendicular to y=2x+2 and passes through the point (4, 3)?

Mathematics

1 answer:

andriy [413]3 years ago

7 0

Answer:

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

Step-by-step explanation:

slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept

Given line: y= 2x +2

slope= 2

The product of the slopes of perpendicular lines is -1. Let the slope of the unknown line be m.

m(2)= -1

m= -1 ÷2

m= -½

Substitute the value of m into the equation:

y= -½x +c

To find the value of c, substitute a pair of coordinates.

When x= 4, y= 3,

3= -½(4) +c

3= -2 +c

c= 3 +2

c= 5

Thus, the equation of the line is y= -½x +5.

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Yoko is buying a car from a local car dealership. She wants to get the lowest interest rate possible. Which will most likely hel

Nuetrik [128]

Answer:

B)making sure she has a positive credit history

Step-by-step explanation:

Yoko is buying a car from a local car dealership. She wants to get the lowest interest rate possible.

B) making sure she has a positive credit history - will most likely help her get the lowest interest rate.

Getting low interest rates does not depend on the way you talk or if you have a driver licence.

It depends on your previous credit history and credit scores. When you have good scores, this means you have always paid your debts on time and this makes sure that you will do the same in future.

So, you get low interest rates based on good credit history.

8 0

3 years ago

Read 2 more answers

1.2 x 10^19 x 5.88 x 10^12

Lapatulllka [165]

9514 1404 393

Answer:

7.056 × 10^31

Step-by-step explanation:

The applicable rule of exponents is ...

(10^a)(10^b) = 10^(a+b)

$(1.2\times10^{19})\times(5.88\times10^{12})=(1.2\cdot5.88)\times10^{19+12}\\\\=\boxed{7.056\times10^{31}}$

As you know, the commutative and associative properties of multiplication let you rearrange the order of the product to any convenient form. Here it is convenient to group the mantissas together and the powers of 10 together.

Additional comments

This is a product your scientific or graphing calculator can produce for you. Likely it will display the result in scientific notation because it won't have enough display digits to show you the product any other way. For smaller numbers, you can set the display mode to give you scientific notation.

If you choose to use a spreadsheet to perform this calculation, the numbers would be entered as 1.2e19 and 5.88e12. The result will be something like 7.056e31. You may have to format the display to show 3 decimal places.