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2 years ago

What is the slope of the line that passes through the points (3,3) and (-3,-1).

Mathematics

2 answers:

ArbitrLikvidat [17]2 years ago

6 0

Answer:

2/3

Step-by-step explanation:

-1 - 3 = - 4

-3 - 3 = - 6

-4/-6 = 2/3

bekas [8.4K]2 years ago

5 0

$\text{Use the slope formula:}\\\\\frac{y2-y1}{x2-x1}\\\\\text{Plug in your coordinates:}\\\\\frac{-1-3}{-3-3}\\\\\text{Solve:}\\\\\frac{-1-3}{-6}\\\\\frac{-4}{-6}\\\\\boxed{\frac{4}{6}}$

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Evaluate 2 tan 45 - tan 60

Darya [45]

Answer:

2 - √3

Step-by-step explanation:

tan45 = 1

tan60 = √3

2 tan 45 - tan 60

2(1) - √3

=> 2 - √3

6 0

3 years ago

Read 2 more answers

How come eleven times eleven equal 121

sasho [114]

Try adding 11, 11 times. It is a long process, but it should give you what you are looking for. First. to break it down add 10 eleven time, then after you get 110 add the remaining 11.

8 0

3 years ago

The cost to mail a first-class letter used to be $0.40 the first ounce. Each additional ounce costs $0.20. Fractions of an ounce

Hitman42 [59]

$1.00 because the first ounce is 0.40 then you have to times the other 3 ounce by 0.20 then u would have $1.00

7 0

2 years ago

Sofia's taco truck lets customers choose 3 ingredients from the list below to add to their tacos. How many groups of 3 different

DIA [1.3K]

Using the combination formula, and considering that the list has 6 ingredients, it is found that 20 groups of 3 different ingredients can go on a taco.

The order in which the ingredients are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.

<h3>Combination formula: </h3>

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem, 3 ingredients are chosen from a set of 6, hence:

$C_{6,3} = \frac{6!}{3!3!} = 20$

20 groups of 3 different ingredients can go on a taco.

To learn more about the combination formula, you can take a look at brainly.com/question/25990169

4 0

2 years ago

The sum of squares of two consecutive odd numbers is 514 find the numbers

amid [387]

Correct Question : The sum of squares of two consecutive positive odd numbers is 514. Find the numbers.

$\rule{130}1$

Solution :

Let the two consecutive positive odd numbers be x and (x + 2)

$\rule{130}1$

☯ $\underline{\boldsymbol{According\: to \:the\: Question\:now :}}$

$:\implies\sf x^2 + (x + 2)^{2} = 514 \\\\\\:\implies\sf x^2 + x^2 + 4x + 4 = 514\\\\\\:\implies\sf 2x^2 + 4x + 4 = 514 \\\\\\:\implies\sf 2x^2 + 4x = 514 - 4\\\\\\:\implies\sf 2x^2 + 4x = 510 \\\\\\:\implies\sf 2x^2 + 4x - 510 = 0\\\\\\:\implies\sf x^2 + 2x - 255 = 0 \:\:\:\:\:\Bigg\lgroup \bf{Dividing\:by\:2}\Bigg\rgroup\\\\\\:\implies\sf x^2 + 17x - 15x - 255 = 0\\\\\\:\implies\sf x(x + 17) - 15(x + 17) = 0\\\\\\:\implies\sf (x + 17) (x - 15)\\\\\\:\implies\sf x = - 17\:or\:x = 15\\\\\\:\implies\underline{\boxed {\sf x = 15}}\:\:\:\:\:\Bigg\lgroup \bf{Positive\:odd\: number}\Bigg\rgroup$

When,

$\bullet\: \textsf {x = } \textbf {15}$

$\bullet\: \sf x + 2 = 15 + 2 =\textbf{ 17}$

$\therefore\:\underline{\textsf{The required positive integer is \textbf{15 and 17}}}.$

5 0

3 years ago