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morpeh [17]
3 years ago
15

Given: cos θ = -4/5 , sin x = -12/13, θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan x.

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
5 0

Answer:

Step-by-step explanation:

Given: cos θ = -4/5 , sin x = -12/13, θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan x.

-12/5

-13/5

-5/12

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A certain quadratic function has x-intercepts at 2 and 3. What are the x-coordinates of its vertex?
Alik [6]
<h3>Answer:  D) 5/2</h3>

==================================================

Explanation:

The parabola is symmetric around its vertex. This means that the roots are the same horizontal distance away from the vertex. Furthermore, we can apply the midpoint formula on the given roots to find the x coordinate of the vertex.

Find the midpoint of 2 and 3 to get (2+3)/2 = 5/2

Note: 5/2 = 2.5

6 0
3 years ago
On a balanced scale are a 25-g mass, a 100-g mass, and five identical blocks marked X as shown. What is the mass of each block m
expeople1 [14]

Answer:

One block - 15

Two blocks - 30

Three blocks - 45

Four blocks - 60

Five blocks - 75

Equation: 25 + 5x = 100

Step-by-step explanation:

This is a pretty simple problem. The scale is balanced and from what we know, the 100 and 25 are on different sides. If we want the scale to be balanced, then we have to solve the equation:

25 + 5x = 100.

(We have the 5x because we have 5 blocks that are marked as x)

subtract 25 from both sides

25-25 + 5x = 100-25

5x = 75

the following step is to divide both sides by 5.

5x/5 = 75/5

x = 15

Now that the equation is solved, we know that ONE blocked marked as X equals 15-g.

(All five of them equal 75-g)

5 0
3 years ago
I forgot how to do this. Can someone tell me how?
Katyanochek1 [597]
Hey there, CrisisOnCats!

Absolute value is when any value that's inside the box, positive or negative, will always come out as positive.
For this one, you solve it as a normal equation, solving for x.
So, 8 = 5 - x
8-5 = 5-5 - x
3 = -x
x = -3
One value can be -3
To find the other value, just find any value that's equal to 8 when added or subtracted from 5, negative or positive.
We have 13 in this case.
5 - 13 is equals to -8 but since it's absolute value, it would be positive 8.
So, the answer is D

Thank you for using Brainly.
See you soon!
7 0
3 years ago
Read 2 more answers
A line has a y intercept of 7 and a slope of 3/4, and goes DOWNHILL. What is the equation of this line?
Vladimir79 [104]

the answer is b, if not then try d:)

4 0
3 years ago
Read 2 more answers
How do I solve for x? log (x-2) = -1 + log (x+1)
Brilliant_brown [7]
For this question you can say:
log(x-2) - log(x+1) = -1 
and you should know that log(x-2) minus log(x+1) is equal to:
log((x-2)/(x+1)) 
so now you have:
log((x-2)/(x+1)) = -1 
now you can say:
(x-2)/(x+1) = 10^ -1 or (x-2)/(x+1) = 1/10 
now you can say:
10(x-2) = x+1 
10x -20 = x +1 
10x - x = 20+1 
9x = 21 
x = 21/9 
x = 7/3 :)))
I hope this is helpful
have a nice day
3 0
4 years ago
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