Answer:
The trigonometric ratios associated with (-5, -4) are [tex]\sin t \approx -0.625[/tex], [tex]\cos t \approx -0.781[/tex] and [tex]\tan t = 0.8[/tex].
Step-by-step explanation:
Let [tex]\vec u = (x,y)[/tex]. From Trigonometry, we remember the following definitions for the trigonometric ratios, dimensionless:
[tex]\sin t = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex] (1)
[tex]\cos t = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (2)
[tex]\tan t = \frac{y}{x}[/tex] (3)
If we know that [tex]x = -5[/tex] and [tex]y = -4[/tex], then the trigonometric ratios are, respectively:
[tex]\sin t = \frac{-4}{\sqrt{(-5)^{2}+(-4)^{2}}}[/tex]
[tex]\sin t \approx -0.625[/tex]
[tex]\cos t = \frac{-5}{\sqrt{(-5)^{2}+(-4)^{2}}}[/tex]
[tex]\cos t \approx -0.781[/tex]
[tex]\tan t = \frac{-4}{-5}[/tex]
[tex]\tan t = 0.8[/tex]
The trigonometric ratios associated with (-5, -4) are [tex]\sin t \approx -0.625[/tex], [tex]\cos t \approx -0.781[/tex] and [tex]\tan t = 0.8[/tex].
Write the equation of the line that passes through the points (-7,1) and (7,-6).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
y-1=-1/2(x+7)
Step-by-step explanation:
Find the slope first using the slope formula.
y2-y1/x2-x1
-6-1/7--7
-7/14
Slope is -1/2
Now choose one of the coordinates and put it in point-slope form.
y-1=-1/2(x+7)
A number line going from negative 2 to positive 2 in increments of 1. There are 2 equal spaces between each number. The line contains negative 2 labeled A, B, negative 1, C, 0, D, 1, E, 2 labeled F. Identify the location of each point on the number line. 0.5 is point . Negative one-half is point . –1.4 is point . 2 is point .
Answer:
ITS A B F ON EDGE GUYS THE PEOPLE IN COMMENTS RIGHT!!!!!1
Answer:
0.5 is point D
-1/2 is point C
-1.4 is point B
2 is point F
Step-by-step explanation:
Pls give brainliest!
Express 8 as a fraction.
Answer:
8/1
Step-by-step explanation:
You just have to put a one for the denominator for any whole number you want to make a fraction.
Please mark me as brainliest.
Question:
1. Write an equation of the line that is parallel to y = -4x + 8 and passes through the point (5, 1).
2. Write an equation of the line that is perpendicular to y = -4x + 8 and passes through the point (5,1).
Answer:
Explanation is written below.
Step-by-step explanation:
1)
Given the line
[tex]y = -4x + 8[/tex]
Comparing with the slope-intercept form of the line equation
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept
So, the slope of the line = m = -4
We know that the parallel lines have equal slopes.Thus, the equation of the line that is parallel to y = -4x + 8 and passes through the point (5, 1), using point slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Here, m is the slope and (x₁, y₁) is the point
substituting the values m = -4 and the point (5, 1)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
y-1 = -4 (x - 5)
y-1 = -4x+20
y = -4x+20+1
y = -4x + 21
2)
Given the equation
[tex]y = -4x + 8[/tex]
Comparing with the slope-intercept form of the line equation
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept
So, the slope of the line = m = -4
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be: 1/4
Thus, an equation of the line that is perpendicular to y = -4x + 8 and passes through the point (5,1), using point slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Here, m is the slope and (x₁, y₁) is the point
substituting the values m = 1/4 and the point (5, 1)
[tex]y-1\:=\:\frac{1}{4}\:\left(x\:-\:5\right)[/tex]
Add 1 to both sides
[tex]y-1+1=\frac{1}{4}\left(x-5\right)+1[/tex]
[tex]y=\frac{1}{4}x-\frac{1}{4}[/tex]
The domain for f(x) and g(x) is the set of all real numbers.
Let f(x) = 3x + 5 and g(x) = x2.
Find f(x) + g(x).
Answer:
f(x) + g(x) = x^2 + 3x + 5
Step-by-step explanation:
In order to do this, you need to substitute f(x) for 3x +5 and substitute g(x) for x2 (which I'm assuming is x squared, which I will be wrIting as x^2. If this is not the problem, please correct me)
f(x) + g(x) = 3x + 5 + x^2
Now, you need to put the varibles in decreasing order of exponents.
f(x) + g(x) = x^2 + 3x + 5
Answer:
Step-by-step explanation:
The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.
Please help timed :( 30points
ASAP Find the slope of The ordered pairs (0,-17),(2,13)
Answer:
m=15
Step-by-step explanation:
Answer:
1 5
Step-by-step explanation:
Marcus expects to earn about $10,000 in sales per month.
He can choose Salary A of $1,500 plus 5.5% of sales which will make him $2050 each month.
Salary B offers $2400 plus 3% of sales. How much does Salary B offer Marcus each month?
Which salary option should he choose: A or B?
Answer:
A
Step-by-step explanation:
5.5 x 2050 = 11,275
THE ANSWERS ARE WRONG. I need help finding the right answers for 30 pts. I will post an additional question after this for 30 points aswell.
Answer:
∠D = 60
∠E = 99; x = 4
x = 32
Step-by-step explanation:
First things first, the sum of angles in a quadrilateral is 360°.
∠D + 120 + 95 + 85 = 360
∠D = 360 - 120 - 95 - 85
∠D = 60
∠E + 86 + 100 + 75 = 360
∠E = 360 - 86 - 100 - 75
∠E = 99
24x + 3 = 99
24x = 99 - 3
= 96
x = 96 ÷ 24
x = 4
89 + 5x - 8 + 51 + 3x + 4 = 360
7x + 136 = 360
7x = 360 - 136
= 224
x = 224 ÷ 7
x = 32
PLEASE HELP!!
adding and subtracting complex numbers
1-) (12-3i)+(7+3i)
2-). (12+4i)-(3-7i)
Step-by-step explanation:
1) 19+i
2) 9-3i
hope this helps bro
Answer:
1. 19
2. 9 + 11i
Step-by-step explanation:
first problem:
first, we rewrite it and remove the parentheses.
12 - 3i + 7 + 3i
then, just remove the opposites and calculate.
19
second problem:
again, we rewrite and remove the parentheses.
12 + 4i - 3 + 7i
then, we calculate and collect like terms.
9 + 11i
Sally is currently working as a real estate agent at a local firm in Morris County. She is looking to promote the area and attract a new affluent clientele. Listed below are the prices of the last five home sales in the area and the descriptive statistics for those sales.
House A $200,000 Descriptive Statistics
House B $225,000 Lowest Price $200,000
House C $235,000 Mean Price $437,000
House D $275,000 Median Price $235,000
House E $1,250,000 Highest Price $1,250,000
What is the most ethical course of action Sally can take in advertising to potential clients?
a. Advertise that, "Homes in our area sell for over a million dollars!"
b. Advertise that, "Homes in our area sell for an average price of $437,000."
c. Advertise that, "Homes in our area sell for a median price of $235,000."
Answer:
c cuz a is misleading, b is misleading too as house e value is an outlier. so answer is c
PLEASE HELP ASAP!!!
Which of the following statements have the same result? Explain each step in solving each one.
1. f(2) when f(x) = 4x + 2
II. (2) when f(x) = 2x-4/5
III. 2y + 11 = 3y + 1
10 points)
Answer:
1.)10 2.)0 3.)10
Step-by-step explanation:
1.) 4 (2) = 8 + 2 = 10
2.) 2(2) - 4/5 = 0
3.)2y + 11/-11 = +3y/-3y +1
2y - 3y = 1 - 11
-1y/-1 = -10/-1 = 10
Each cup costs $6 and each bowl costs $10.if you want to spend exactly $72,which equation in standard form models this situation.let c represent the number of cups you buy,and b represent the number of bowls you buy
Answer: 72=6c+10b
Step-by-step explanation:
what is 3/4 divided by 1/6
0 3
0 4
0 4 1/12
0 4 1/2
Answer:
c
because i just did the test
30 POINTS, BRAINLIEST, PLEASE HAALLPPP TT^TT
PLEASE don`t respond without an answer!
A basketball is thrown upward from a height of 1.8 m at a velocity of 12 m/s. How long until it reaches the ground?
(Recall: h(t)=-4.9t^2-v_0 t+h_0, where v_0 is initial velocity and h_0 is initial height.)
Which Baroque form was based on sacred texts?
O Prelude
O Opera
O Instrumental suite
O Oratorio
Answer:
It's oratorio
Step-by-step explanation:
Because i put in some research.
im doing a review for my class I've blurred my name but im struggling getting to understand some of these
luis wrote a story the number of pages in his story has 17 tens and 9 ones he wrote the number 791 to show the number of pages it luis correct if so explain why?
Answer:
no he is not
Step-by-step explanation:
17 tens + 9 ones
17(10) + 9(1)
170 + 9
179
he wrote 791 but the correct answer should be 179
Can some one
help please I don’t understand this problem.
This is for regular Geometry.
(4x+8)+(7x+3) help me!!!!
Answer:
Step-by-step explanation:
11x+11
does anyone have an answer?
Answer:
A
Step-by-step explanation:
square root(2) times square root(18)
is square root(36)
which is 6, a rational number
Answer:
Your answer would be A
√2 × √18
Step-by-step explanation:
√2 × √18 = 6
That's rational number
hope it helps!
Write the equation of a line in point-slope form that is parallel to the line y=2x-5 and goes through the point (-1,4)
(y-4) = 2(X+1)
Step-by-step explanation:
Hey there!
The given eqaution is; y = 2x-5.......(i)
Now; As the eqaution is in the form of y= mx+b.
Slope(m1) = 2.
As per the condition of parallel lines, slope of the 1st equation (m1) = slope of 2nd eqaution (m2).
Therefore, m1= m2= 2
Now, use one point formula for finding the eqaution of the line which passes through the point.
(y-y1) = m2(x-x1)
~ Put all values.
(y-4) = 2(X+1)
You can simply write upto here. But it you want to make it simplified form then, (look below)
~ simplify it.
y = 2x +2+4
The eqaution of the line which is parallel to y = 2x -5 and point (-1,4) is y = 2x + 6.
Hope it helps.....
Answer: y - 4 = 2(x + 1)
Step-by-step explanation:
The point slope form formula says that y - b = m(x-a) where m is the slope,b is the y coordinate of a given point , and a is the x coordinate of the same point.
Remember that parallel lines have the same slopes but different y-intercepts, meaning that m will equal to 2 because the slope for the line y=2x-5 is 2.
m will be 2, b will be 4 , and a will be -1.
y - 4 = 2(x - (-1) which reduces to
y - 4 = 2(x + 1)
What is the answer to 8/10 x 5/2
Answer:
your answer is 2!
Step-by-step explanation:
you have to make it an improper fraction once you do you get 2!
brainliest please>
Answer:
2
Step-by-step explanation:
8/10 = 0.8
5/2 = 2.5
0.8 x 2.5 = 2
1) You are taking a Tae Kwon Do class that costs $15 a month. In addition, you needed to
purchase a uniform. You paid a total of $108 after 6 months. Write an equation that glves
the total cost (in dollars) as a function of the length of time you have been taking classes
(in months). Find the total cost after 9 months.
Answer:
$162
Step-by-step explanation:
you divide 6 months by 2 then you divide 108 by 2 then you add the half of 108 and plus it to 108 then you get your total.
The function of the length of time you have been taking classes is f(x) = 15x and cost for 9 months is $135
What is unit rate?A unit rate means a rate for one of something.
Given that, You are taking a TAE Kwan Do class that costs $15 a month. In addition, you needed to purchase a uniform. You paid a total of $108 after 6 months.
We have unit rate = $15 per month
Since, one month cost is $15 therefore, for 6 months = 15×6 = $90
Therefore, cost of uniform = $108 - $90 = $18
Let you are taking classes for x months, the function of the length of time you have been taking classes,
f(x) = 15x
For 9 month cost =
f(9) = 15×9 = 135
Hence, the function of the length of time you have been taking classes is f(x) = 15x and cost for 9 months is $135
Learn more about unit rates, click;
https://brainly.com/question/29781084
#SPJ2
Did you hear the story about the piece of butter?
Answer:
I believe once it saw the cast iron skillet's beauty, it melted.
Step-by-step explanation:
No clue just that was the first thing in me mind.
In a dance contest in which 53,000 votes were cast, the winner received 3/5 of votes. How many votes did the winner not receive? (Incorrect solution: 3/5 x 53,000 = 3/5 x 53,000/1 = 3x53,000/ 5 x 1 = 31,800) ( explain error please and add correct work/solution and if you could share a strategy you used? Thanks!!)
Answer:
21,200
Step-by-step explanation:
Votes casted = 53000
Votes received = 3/5
Votes did not receive = 1- 3/5 = (5-3)/5 = 2/5
Total votes not received by winner
= 53000 *2/5
= 10,600 * 2
= 21,200
Which quadratic equation has roots - 2 and 1/5 :
Answer:
[tex]5 {x}^{2} \: + \: 8x \: - 2 \: = \: 0[/tex]
Step-by-step explanation:
[tex]sum \: of roots = - 2 + \frac{1}{5} = - \frac{8}{5} \\ product \: of \: roots = - 2 \times \frac{1}{5} = - \frac{2}{5} \\ from \: general \: equation \\ a {x}^{2} + bx + c = 0 \\ {x}^{2} + \frac{8}{5} x \: - \frac{2}{5} = 0 \\ 5 {x}^{2} \: + \: 8x \: - 2 \: = \: 0[/tex]
[IMAGE ATTACHED]
Please help me with this
(ᗒᗣᗕ)՞
it will help with everything better if you go on
My homework says, "Does the graph represent a proportional relationship? Why or why not? You MUST explain to get credit."
Answer:
No, the graph does not represent a proportional relationship. It is a straight line, but it does not intersect the point (0, 0). ... It's not proportional because the line does not cross through the origin. Therefore the ratio of x to y will be different for two different points on the line.
Please help fast.
Answer the question below: