Immediately, by definition of cotangent, we find
tan(α) = 1/cot(α) = 1/(-√3)
⇒ tan(α) = -√3
Given that π/2 < α < π, we know that cos(α) < 0 and sin(α) > 0. In turn, sec(α) < 0 and csc(α) > 0.
Recall the Pythagorean identity,
cos²(α) + sin²(α) = 1
Multiplying both sides by 1/sin²(α) recovers another form of the identity,
cot²(α) + 1 = csc²(α)
Solving for csc(α) above yields
csc(α) = + √(cot²(α) + 1) = √((-√3)² + 1) = √4
⇒ csc(α) = 2
⇒ sin(α) = 1/2
Solve for cos(α) using the first form of the Pythagorean identity:
cos(α) = - √(1 - sin²(α)) = - √(1 - (1/2)²) = - √(3/4)
⇒ cos(α) = -√3/2
⇒ sec(α) = -2/√3
3x+5y−7x+6=12
Calculate.Solve for x.
The value of x from the equation is x = (5y - 6)/4
Given the equation 3x+5y−7x+6=12
collect the like terms;
3x-7x + 5y + 6=12
-4x + 5y = 12 - 6
-4x + 5y = 6
Subtract 6 from both sides
-4x + 5y - 5y = 6 - 5y
-4x = 6 - 5y
4x = 5y - 6
x = (5y - 6)/4
Hnce the value of x from the equation is x = (5y - 6)/4
learn more on subject of formula here: https://brainly.com/question/657646
A TON OF POINTS AND BRAINLIEST IF ANSWERED CORRECTLY! I RLY NEED HELP PLZZZ ANSWER
Use the function f(x) = 2x^2 − 3x − 5 to answer the questions.
Part A: Completely factor f(x). (2 points)
Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph. (4 points)
Answer:
Step-by-step explanation:
For
f(x) = 2x2-3x -5
For Part A
Set f(x) = 0
Factor the Quadratic
Set the factors = 0
Solve each factor for x to find your x intercepts
For Part B
You need to use the coefficients in your Quadratic
List them
a = 2 , b = -3 and c = -5
Since a is positive, your parabola opens up
Find the x coordinate of the vertex it is -b/2a
One you get the x coordinate, plug it into to your Quadratic to get f(x) your y coordinate of the vertex
For Part C
You can plot the vertex, both x intercepts on a coordinate grid
PLEASE HELP ME
Question 7 of 10
Which of the following is equal to the fraction below? (5/9)⁸
A. 5⁸/9⁸
B. 5/9⁸
c. 5⁸/9
D. 8•(5/9)
SUBMIT
Answer:
A 5⁸/9⁸
Step-by-step explanation:
the bracket there shows that the power is for both the numerator and denominator so A is the correct answer
Determine the number of solutions you will have for the system 4y + x = 16 and y = 4 – x.
Equaling both equations, it is found that the correct option that states the number of solutions you will have for the system is:
D: one solutionThe equations are:
[tex]4y + x = 16 \rightarrow x = 16 - 4y[/tex]
[tex]y = 4 - x \rightarrow x = 4 - y[/tex]
Equaling both equations for x, we have that:
[tex]16 - 4y = 4 - y[/tex]
[tex]3y = 12[/tex]
[tex]y = \frac{12}{3}[/tex]
[tex]y = 4[/tex]
[tex]x = 4 - y = 4 - y = 0[/tex]
Hence, the system has one solution, which is (0,4), and option d is correct.
You can learn more about the number of solutions a system of equations has at https://brainly.com/question/25960609
Which of the segments below is a secant?
С
F
О.
В
Д.
А
u
А. ОВ
B. AB
ООО О
C. DE
D. AD
Answer:
it is d i believe
The secant of a circle is line segment AD. Therefore, option C is the correct answer.
What is secant of a circle?A line that crosses a circle at two different locations is said to be a secant of the circle. The Roman verb secare, which meaning to cut, is the source of the word secant. It can also be thought of as the chord of a circle extended outside of the circle.
Given that, circle with center O.
In the given figure, FC is chord, OB is radius, AB is tangent, AD is secant and DE is tangent.
Therefore, option C is the correct answer.
Learn more about the secant of a circle here:
https://brainly.com/question/23026602.
#SPJ7
can you help me with this graph question
Answer:
D
Step-by-step explanation:
the Max Point is (2,6) so y=b
sorry if u dont get it
Problem Situation: Ben buys a table for $240. He also buys 6 chairs that all cost the same amount. His total cost is $720. What is the price of one chair? Use the drop-down menus to complete parts A and B below.
The price of one chair Ben bought is $80 and he bought 6 chairs in total.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Ben buys a table for $240. He also buys 6 chairs that all cost the same amount.
Assuming each chair costs $x and his total cost is $720.
∴ 240 + 6x = 720.
6x = 720 - 240.
6x = 480.
x = 80
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ1
How do you use observed data to predict unobserved
please help ill mark brainliest
Answer:
I think its A ratio reduced, since a scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure.
Answer:
It isn't either of the first two. My best guess would be the units of a ratio, (sorry if it's actually a ratio reduced). It's worded very weirdly
help with this question, please!
Answer:
Y Intercept: 0, 2.5
X Intercept: 3.5, 0
Explanation:
An Intercept is where a line crosses an axis. A Y Intercept is for the Y axis and the X intercept is for the X axis.
Also when writing coordinates, the x coordinate comes before the y one.
Hope this helps :)
will give brainly if you help me thx
Answer:
A
Step-by-step explanation:
The answer is A because is it asking for a 3 in the hundredths place of the difference. Difference means subtraction. And you can find the hundredth spot in the second place over from the decimal
(ex. 1.23, hundredth place is a 3)
So then you do the math and find the differences.
14.56-9.33=5.23, which has a 3 in the hundredth place.
I need help with this
========================================================
Explanation:
Recall that y = mx+b is the slope intercept form of any linear equation
m = slopeb = y interceptThe given equation has m = 4/5 as the slope. Flip the fraction to get 5/4 and then flip the sign to get -5/4
The original slope is 4/5 and the perpendicular slope is -5/4. Note how the slopes multiply to -1.
The slope for the answer is -5/4 and the y intercept for the answer is -8
Therefore, the perpendicular line is y = (-5/4)x - 8
I WILL GIVE BRAINLEST AND 60 POINTS I KNOW ITS NOT ALOT
Melanie was training for a race. The line plot below shows the number of miles Melanie ran last week.
2. How many times did Melanie run ½ a mile?
Answer:
Melanie and 2 times ½ a mile
Hopes This helps
Find the value of sin D rounded to the nearest hundredth, if necessary.
Answer:
0.22
Step-by-step explanation:
So in this problem, we have to find the hypotenuse first, since sine is opposite over hypotenuse.
We can do this using the pythagorean theorem (you can search it if you don't know). Or, we can just remember this as one of our pythagorean triplets (9,40,41). The last side will be 41.
We have to find the value of sin(D)
opposite/hypotenuse = 9/41 = 0.2195 which is about 0.22
If Y = 13 inches, Z = 19 inches, H = 7 inches, and W = 3 inches, what is the area of the object?
A.
304 square inches
B.
123.5 square inches
C.
147 square inches
D.
190 square inches
Answer:
Step-by-step explanation:
Ask Siri
13,22,31,...
Find the 31st term.
Find the 31st term.
Answer: 283
Step-by-step explanation:
To do this, it is helpful to get an equation you can use to solve any term.
This equation is:
[tex]13 + 9(n-1)[/tex]
So simply plug in 31 for n to get
[tex]13+9(31-1)[/tex]
[tex]=13+270[/tex]
[tex]=283[/tex]
Answer:
283
Step-by-step explanation:
9x+4=9(31)+4=283
13+9=22
22+9=31
9x
9(1)=9 9+4=13
9x+4
of the negative number, and of the
16
6 The sum of a negative number,
negative number is – 13.2. What is the negative number?
Answer:
semoga jawabannya benar
Step-by-step explanation:
Korelasi Rank Spearman digunakan untuk mencari hubungan atau untuk menguji signifikansi hipotesis asosiatif bila masing-masing variabel yang dihubungkan berbentuk Ordinal.
Answer:
179.2
Step-by-step explanation:
166 = x + -13.2
166 - -13.2 = 166 + 13.2 = 179.2
138.4divided by16 show works it possible to show your work
Planes A and B are shown.
If a new line, p, is drawn parallel to line I, which
statement is true?
ZA
O Line p must be drawn in plane B.
O Line p must be perpendicular to line m.
O Line p must be drawn so that it can lie in the same
plane as line 1
O Line p must be drawn in the same plane as line n.
m
Help help help help help m at h math math
Answer:X= 6X-14
Step-by-step explanation:
three movie tickets cost 36$ at this same rate how much do 12 tickets cost
Answer:
$144
Step-by-step explanation:
Each ticket is $12.
Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
Step-by-step explanation:
a² + b² = c²
12² + b² = 15²
b² = 225 - 144
b² = 81
b = 9
write an expression that shows 9 less than the product of 11 and 3.5
try this for answer (11×3.5)-9=x
It takes 10 hours to type 4 reports how many hours does it take to type 15 reports
Answer:37.5 hrs
Step-by-step explanation:
15/4 = 3.75
3.75*10=37.5
The answer is 37.5 hours
Two angles are supplementary. The smaller angle is 35 degrees less than the larger angle. What is the measurement of the larger angle?
Answer:
Step-by-step explanation:
Henry jumped up 6 steps. Each step was 3/10 feet high. How high did he jump all together (in simplest form)
Answer:
1.8 or 14/5
Step-by-step explanation:
HENry MuST Be A KaNGaRoO
Answer:
Step-by-step explanation:
Multiply "3/10 ft high per step" by "6 steps." This works out to:
18/10 ft was the highest that this young man jumped.
This reduces to 9/5 ft, or 1.8 ft
Mark purchased a 20 foot long sub for a party he cuts the sandwich into 5/12 foot sections into how many pieces does he cut the sandwich
Answer:
48 pieces
Step-by-step explanation:
20÷5/12=20*12/5=240/5=48
1. The total amount of what you eam during the pay period before taxes and deductions are taken out is known as what?
Wage
Net pay
Salary
Gross pay
Answer:
net pay if im not mistaking
Step-by-step explanation:
Exercise on Properties/Laws of Sets Simplify each of the following identities to its simplest form, using the laws of sets; (i) (An B) U (AU B')'
(ii) An (AUB)
(iii) (CUA N (BUA)
What is the vertical shift for the absolute value function below. Explain how you know using complete sentences. Include the direction and number of units of the shift. f(x)=9|x+1|+2
The vertical shift of the function [tex]f(x) = 9|x + 1| + 2[/tex] is 2 units up
The absolute function is given as:
[tex]f(x) = 9|x + 1| + 2[/tex]
An absolute function is represented as:
[tex]f(x) = a|x - h| + k[/tex]
Where k represents the vertical shift.
By comparison, the value of k is:
[tex]k = 2[/tex]
This means that the vertical shift is 2 units
Hence, the vertical shift of the function [tex]f(x) = 9|x + 1| + 2[/tex] is 2 units up
Read more about absolute value function at:
https://brainly.com/question/25971887