[tex]L.H.S\\\\=\sin \theta \sec \theta \\\\=\sin \theta \cdot \dfrac 1{\cos \theta } \\\\=\dfrac{\sin \theta}{\cos \theta}\\\\=\tan \theta\\\\=R.H.S\\\\\text{Proved.}[/tex]
Topic: Determining if given values are solutions to a two variable equation
Answer:
2. a & c
3. a, b & c
Step-by-step explanation:
Substitute each solutions to the question to see if you get the answer
a. 5(2)-0=10 -- so (2,0) is the solution
b. 5(3)-0=15 -- (3,0) is not the solution
c. 5(0)-(-10)=10 -- (0,-10) is the solution
d. 5(1)-(1)=4 -- (1,1) is not the solution
a. -(-4)+ 6(1) = 10 -- so (-4,1) is the solution
b. -(-22)+ 6(-2) = 10 -- so (-22,-2) is the solution
c. -(2)+ 6(2) = 10 -- so (2,2) is the solution
d. -(10)+ 6(0) = - 10 -- so (10,0) is not the solution
A recipe that makes 4 servings calls for Two-thirds cup of flour. How much flour is required to make 20 servings?
6 cups
3 and one-third cups
two-thirds cups
StartFraction 2 over 15 EndFraction cups
PLEASE HURRY ITS A TEST AND TIMED
Which statement is true about the equation f(x)=g(x) given f(x)=2x+3 and g(x)=x^2? please help
Answer:
x=3 and x=-1
Step-by-step explanation:
If f(x)=g(x), then 2x+3=x^2:
x^2-2x-3=0
(x-3)(x+1)=0
x=3 and x=-1
We can conclude that the statement:
There are values of x for which f(x) = g(x)" is true.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To determine which statement is true about the equation f(x) = g(x) given f(x) = 2x + 3 and g(x) = x²,
We can substitute the expressions for f(x) and g(x) into the equation and simplify:
f(x) = g(x)
2x + 3 = x^2
Now we have a quadratic equation.
We can rearrange it to standard form and solve for x using the quadratic formula:
x² - 2x - 3 = 0
a = 1, b = -2, c = -3
x = (-b ± √(b² - 4ac)) / 2a
x = (2 ± √(16)) / 2
x = (2 ± 4) / 2
x = -1 or x = 3
Therefore,
The equation f(x) = g(x) is true for some values of x, namely x = -1 and x = 3.
Thus,
Based on this, we can conclude that the statement "There are values of x for which f(x) = g(x)" is true.
Learn more about functions here:
https://brainly.com/question/28533782
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Estimate a 15% tip on a dinner bill of $32.43 by first rounding the bill amount to the nearest ten dollars.
Answer:
Estimate Tip = $4.50
Step-by-step explanation:
The bill to the nearest $10 is $30.00 : ( $ 30 ($32.43) $40, it is nearer to $30
Estimate Tip = Bill rounded to the nearest $10 × Tip %
Estimate Tip = $30 × 15%
Estimate Tip = $30 × .15 (15% change to a decimal is .15)
Estimate Tip = $4.50
PLEASE HURRY. WILL GIVE BRAINLIEST. 100pts
Answer:
a - 4/11
b - 11/30
c - 9/25
Step-by-step explanation:
have a lovely day <3
Answer:
a b c
Step-by-step explanation:
hope it helps
How fast must a jet travel to reach its destination
2,064 miles away in 4 hours?
piecewise functions. please help it’s for a test. please write the tables! i will give out brainliest!!
Answer:
Second Table:
1 | 0
3 | -2
Sorry I can’t do the rest I have to go study for my midterm! Hope this helps a bit
Step-by-step explanation:
Which lines of A, B, and C are perpendicular?
Answer:
a is perpendicular to both b and c; the product of the slopes a and b or a and c is -1
Step-by-step explanation:
perpendicular slopes multiplied by each other would be -1
-1/3 * 3 for a and both other lines is -1
that means a is perpendicular to both b and c
8. What is the linear term in the quotient of 8x" - 6x + 9x - 5x + 12 divided by 2x + 3x + 5?
Answer:
Step-by-step explanation:
HELP PLSSSS ILL REWARD BRAINLIEST!!!
9-(1-3y)=4+y-(3-y), find y
Answer:
-7 is the answer!! :) hope this helps
Answer pls in standard form too
Answer:
a)
Slope form y=2x+3
Standard form 2x-y=-3
b)
Slope y=3/5x-6
Standard 3x-5y=30
c)
slope y=-3/2x+9
standard 3x+2y=18
d)
slope y=-3x+0
standard = 3x+y=0
Step-by-step explanation:
a)
Slope form y=2x+3
Standard form 2x-y=-3
b)
Slope y=3/5x-6
Standard 3x-5y=30
c)
slope y=-3/2x+9
standard 3x+2y=18
d)
slope y=-3x+0
standard = 3x+y=0
help please brainliest and 30 pts
Answer: B though im not sure
Step-by-step explanation:
Can someone Please help me on this easy math problem
Step-by-step explanation:
Equation of a straight line
y = mx + c, m is the slope, and c the intercept
points (3,7) x = 3, y = 7, c = 1
7 = m × 3 + 1
7 = 3m + 1
3m = 7 - 1
3m = 6
m = 6/3
m = 2
What is the slope of the proportional relationship, and how can I graph it?
Answer:
I would say 5.2 .
Step-by-step explanation:
if I’m wrong, I’m sorry. If I’m right, mark me brainlest!
There are 42 students separated into 6 groups for a field trip. How many students are in each group
Answer:
There is 7 students in each group
Step-by-step explanation:
So it's basically easy math 42 divided by 6 equals 7 :)
Hopes This Helps :)
What is the median of these numbers 9, 10, 6, 5, 6
Answer:
6.
Step-by-step explanation:
First you put the numbers in order, 5, 6, 6, 9, 10 then you find the number in the middle, which in this case is 6.
i believe X=4, but i could be wrong with the whole thing
Answer:
A. x = 4
B. RQ = 6
C. 48 square units
Step-by-step explanation:
A. 3x - 2 = 10
3x = 12
x = 12/3
B. a^2 + b^2 = c^2
8^2 + b^2 = 10^2
64 + b^2 = 100
b = sqrt (100 - 64
b = 6
C. Area of a triangle = (b*h)/2
b = (2)(6) = 12
Area = (12 * 8)/2 = 48 square units
Solve the system of equations. y=x-5; y=x^2-5x+3
[tex]y = x-5~~....(i)\\\\y =x^2-5x+3~~.....(ii)\\\\\text{Substitute}~ y= x-5 ~\text{in equation (ii):}\\\\x-5 = x^2 -5x +3\\\\\implies x^2 -5x -x +3 +5 =0\\\\\implies x^2 - 6x + 8 =0\\\\\implies x^2 --4x -2x +8 =0\\\\\implies x(x-4) -2(x-4) =0\\\\\implies (x-4)(x-2)= 0\\\\\implies x =4~~ \text{or}~~ x = 2\\\\\text{Substitute x = 4 in equation (i):} \\\\y = 4-5 = -1\\\\\text{Substitute x = 2 in equation (i):} \\\\y = 2-5 = -3\\\\\text{Hence,}~ (x,y) = (4,-1)~ \text{and}~ (x,y) = (2,-3)}[/tex]
Can someone pleaseee answer this
Answer:
Answer is in the attached file.
Answer:
x = 80
Step-by-step explanation:
The exterior angle is equal to the sum of the remote interior angles.
2x -48 = x +32
x = 80 . . . . . . . . . . add 48 -x to both sides
How much will the taxi driver earn if he takes one passenger 4.8 miles in another passenger 7.3 miles explain your process
Answer:
12.1x+t
Step-by-step explanation:
since we do not get a specific amount we must add 4.8 and 7.3 and substitute the amount the driver earns per mile with x and use t as a variable if they charge something like $5 just to get in before driving
Someone plz help me! I’m begging!! :(
Answer:
Option D
Step-by-step explanation:
Expanding option A equations:
8 + (3 * y) = 8 + 3y
(8 + 3) * y = 11y
∴ not equivalent.
Expanding option B equations:
(7 - 3) * y = 4y
7 - (3 * y) = 7 - 3y
∴ not equivalent.
Expanding option C equations:
(6 ÷ y) + 13 = [tex]\frac{6}{y} + 13[/tex]
13 + (y ÷ 6) = [tex]13 + \frac{y}{6}[/tex]
∴ not equivalent.
Expanding option D equations:
7 + (y * 5) = 7 + 5y
7 + (5 * y) = 7 + 5y
∴ equivalent.
Hope this helps!
Which table represents a linear function?
Answer:
it's the last one in the lower right corner.
If January 20 falls on a Tuesday, then February 15 of that same year falls on which day of the week? (January has 31 days)
Answer: Sunday
Step-by-step explanation:
The 27th would be tuesday
The 3rd would be tuesday
The 10th would be tuesday
The 15th would be sunday
ugh i'm sicker than a dog :(
Oh im sorry feel better :( Im here if you need someone to talk to
Answer:
Sorry to hear that. I hope you feel better!
Step-by-step explanation:
Java 1
Question 15
Another word for "looping" is:
a. encapsulation
b. iteration
c. reiteration
d. generalization
e. inheritance
Answer:
the anwser is b
Step-by-step explanation:
it is another word for looping
The Wilsons are storing water in case there is a natural disaster. They have 12 small bottles of water that hold 8 ounces each. They also have 4 large bottles of water that hold 24 ounces each. They estimate that they have around 2,000 ounces of water in total. Is that a good estimate?
Write the following equation in standard form:`X^{2}+6X=-2`
Answer:
[tex]x^2 +6x +2=0[/tex]
Step-by-step explanation:
Given the function f(x) = 10x + 8, find each of the following.
f(7)=
f(-8)=
f(0)=
Answer:8
Step-by-step explanation:
Answer:
f(7)
Step-by-step explanation:
i am pretty sure i am not in highschool so just give me a thanks i am in 6 grade happy rest of the day
I NEED HELP I NEED HELP I NEED HELP I NEED HELP I NEED HELP
What do you mean? What’s the question?
Answer:
Unknown
Step-by-step explanation:
Question, not provided.
