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3 years ago

What is the slope of the line?

Mathematics

1 answer:

galben [10]3 years ago

5 0

Answer:

-8/3

Step-by-step explanation:

-8/3

you count up from when the line intercepts a secure point that would be 8

then 3 over

its negative because it points down on the right

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To drive to work, Dave has to drive 20 miles east and then 15 miles north. If there were a direct road going northeast, how many

suter [353]

By the Pythagorean theorem:

$x= \sqrt{20^2+15^2}= \sqrt{400+225}= \sqrt{625}=25 \ miles$

7 0

3 years ago

What is 4.2e+16 written out?

worty [1.4K]

42000000000000000

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

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3 years ago

Brittany needs $5,000 for a down payment on a car. She makes a monthly

VMariaS [17]

Answer:

it will take her 40 years to reach her goal.

Step-by-step explanation:

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3 years ago

Write the slope-intercept form of the equation of the line that is perpendicular to and passes through Point X. Show all work fo

Semmy [17]

Answer:

$y =\dfrac{12}{5}x + 22$

Step-by-step explanation:

Slope-intercept form of line:

First find the slope of the line AB. ie, m

Slope of the perpendicular line = -1/m

(2 , 3) ⇒ x₁ = 2 & y₁ = 3

(-10, 8) ⇒ x₂ = -10 & y₂ = 8

$\boxed{Slope=\dfrac{y_2-y_1}{x_2-x_1}}$

$= \dfrac{8-3}{-10-2}\\\\=\dfrac{5}{-12}\\\\=\dfrac{-5}{12}$

$\sf slope \ of \ the \ perpendicular \ line \ m_1 = \dfrac{-1}{m}= -1 \ \div \dfrac{-5}{12}$

$\sf = -1 * \dfrac{12}{-5}=\dfrac{12}{5}$

Equation of the required line: y = mx + b

$y =\dfrac{12}{5}x+b$

The line passes through (-5 , 10). Substitute in the above equaiton,

$10 =\dfrac{12}{5}*(-5) + b\\\\ 10 = (-12) + b\\\\$

10 + 12 = b

b = 22

Equation of the line:

$y =\dfrac{12}{5}x + 22$

3 0

2 years ago

Candice is making some party bags for her birthday party she has 96 stickers and 80 boxes of cookies she wants each party bags t

Irina-Kira [14]

the greatest common factor 80 and 96 is 16. And so 16 party bags she can make .

<u>Step-by-step explanation:</u>

Here we have , Candice is making some party bags for her birthday party she has 96 stickers and 80 boxes of cookies she wants each party bags to be the same and she wants to use all of the stickers and cookie . we need to find how many party bags she can make . Let's find out:

Let's calculate GCF of 96 & 80 as :

Prime factors of 96 are :

⇒ $2^5(3)^1$

Prime factors of 80 are :

⇒ $2^4(5)^1$

Therefore , GCF is common factor of Prime factors of 96 and Prime factors of 80 i.e. $2^4 = 16$ .

We found the factors and prime factorization of 80 and 96. The biggest common factor number is the GCF number. So the greatest common factor 80 and 96 is 16.

4 0

3 years ago