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2 years ago

A line passes through the points (-5, 2) and (10, -1). Which is the equation of the line?

Mathematics

1 answer:

dem82 [27]2 years ago

6 0

According to Desmos Graphing Calculator none of these equations passes threw the points (-5,2) and (10,-1)

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Given sin theta= 6/11 and sec theta < 0, find cos theta and tan theta.

bekas [8.4K]

Answer: option a.

Step-by-step explanation:

By definition, we know that:

$cos^2(\theta)=1-sen^2(\theta)\\\\tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

Substitute $sin(\theta)=\frac{6}{11}$ into the first equation, solve for the cosine and simplify. Then, you obtain:

$cos(\theta)=\±\sqrt{1-(\frac{6}{11})^2}\\\\cos(\theta)=\±\sqrt{\frac{85}{121}}\\\\ cos(\theta)=\±\frac{\sqrt{85}}{11}$

As $sec\theta$ then $cos\theta$ :

$cos(\theta)=-\frac{\sqrt{85}}{11}$

Now we can find $tan\theta$ :

$tan\theta=\frac{\frac{6}{11}}{-\frac{\sqrt{85}}{11}}\\\\tan\theta=-\frac{6\sqrt{85}}{85}$

4 0

3 years ago

Read 2 more answers

Please help

murzikaleks [220]

Answer:

$74.41

Step-by-step explanation:

x = Amount of money Sylvia had in her account

Amount of money spent at the Grocery Store= $25.89

Remaining Amount of money after Grocery = $48.52

Hence, By adding the two amount above we get the amount Sylvia had in her account before grocery;

x = $25.89 + $48.52

x = $74.41

6 0

2 years ago

A rectangle has a perimeter equal to 24 if we consider its width x how could we talk about its length y in terms of x what are t

riadik2000 [5.3K]

2x + 2y must equal 24. 24 - 2x = 2y and 24 - 2y = 2x. Therefore, 12 - y = x. x could be able to add with y to get 12.

example: x = 4, y = 8. (4 + 4 + 8 + 8 = 16 + 8 = 24)

x = 9, y = 3. (9 + 9 + 3 + 3 = 24)

x = 5, y = 7. (5 + 5 + 7 + 7 = 24)

5 0

3 years ago

I NEED HELP!! ITS POLYNOMIALS!!<br><br><br> (5a + 7b) - (3a + 2b) =

miv72 [106K]

(5a+7b)-(3a+2b)

When there is a in front of an expression in parentheses, change the sign of each term in the expression
5a+7b-3a-2b
collect the like terms
5a-3a= 2a
7b-2b= 5b

answer: 2a+5b
hope this helps! :)

6 0

2 years ago

Calculate the following expressionusing the order of operations. show all steps( do not combine more than two numbers together a

Neko [114]

Answer: $204\frac{2}{5}$

Step-by-step explanation:

Given the following expression:

$(\frac{7}{15}+\frac{125}{9})^2-16(\frac{0.25}{2})$

You can follow these steps in order to solve the exercise:

1. You need to solve the operations inside the parentheses:

- Add the fractions. Since they have different denominators, you have to find the Least Comon Denominator (LCD):

$15=3*5\\9=3*3=3^2\\LCD=5*3^2=45$

- Solve the division divididing the numerator 0.25 by the denominator 2.

Then, you get:

$(\frac{(3)(7)+(5)(125)}{45})^2-16(\frac{0.25}{2})\\\\(\frac{646}{45})^2-16(0.125)$

2. Solve the exponent:

$\(\frac{417,316}{2,025}-16(0.125)$

3. Solve the multiplication:

$\(\frac{417,316}{2,025}-2$

4. Solve the subtraction:

$\(\frac{417,316-(2,025)(2)}{2,025}=\frac{413,266}{2,025}\approx204.08$

5. Since :

$0.8=\frac{2}{5}$

You can write the result as a mixed fraction:

$=204\frac{2}{5}$

7 0

3 years ago