Answer:
see explanation
Step-by-step explanation:
Using the identity
tan x = [tex]\frac{sinx}{cosx}[/tex]
Consider the left side
[tex]\frac{1-tan^2x}{1+tan^2x}[/tex]
= [tex]\frac{1-\frac{sin^2x}{cos^2x} }{1+\frac{sin^2x}{cos^2x} }[/tex] ( multiply numerator and denominator by cos²x to clear fractions
= [tex]\frac{cos^2x-sin^2x}{cos^2x+sin^2x}[/tex] ← ( cos²x + sin²x = 1 ]
= cos²x - sin²x
= right side , thus proven
Compute each of the following values for f (x) = 1/x-2. Step by step
a. f(2.5)
b. f(1.75)
c. f (2)
d. Justify your answer for part (C).
Step-by-step explanation:
subtitle values of x one by one:
a)f(2.5)=1/2.5-2
f(2.5)=1/0.5
f(2.5)=2
b)Now x=1.75
f(1.75)=1/1.75-2
f(1.75)=1/-0.25
f(1.75)=-4
c)x=2
f(2)=1/2-2
f(2)=1/0
f(2)=infinity
d)something divided by zero is equal to infinity that is exteremly large value
Twice a number is forty in equation form
Answer:
2x = 40
Step-by-step explanation:
Let the number be x
Twice means 2 time
2 × x
2x
The product is 40
2x = 40
Step-by-step explanation:
Twice a number is forty
Let the number be x, then
2×x=40
2x=40
x=40/2
x=20
angle A and angle B are supplementary angles.If m angle A=(7x+15 ^ and m angle B=(2x−3) then find the measure of ∠ A.
Help ASAP I’ll mark you as brainlister
Answer:
the range is from 6 to -4 (both inclusive)
Step-by-step explanation:
the domain is all values of x for which the function is defined and the range is all values of y for which the function is defined hence the domain is -3 to -11 and the range is 6 to -4
6.
For which discriminant is the graph possible?
A. b2 – 4ac = 7
B. b2 – 4ac = 0
C. b2 – 4ac = –12
Answer:
A. b2 – 4ac = 7
Step-by-step explanation:
ken has 5 lemons and 3 oranges in his shopping trolley and the cost of the fruit is $3.50. Barbie, with 2 lemons and 4 oranges pays $2. 10 for her fruit. how much does each type of fruit cost?
Answer:
A) 5 L + 3 O = 3.50
B) 2 L + 4 O = 2.10
Multiplying B) by -2.5
B) -5L -10 O = -5.25 then a adding A)
A) 5L + 3 O = 3.50
-7 O = -1.75
Oranges = .25 each
Lemons = .55 each
Step-by-step explanation:
Can you guys help me find a flag that has at least one reflection and a translation in it? If not, then two flags that show these transformations.
This is very urgent and I need to get it done soon, whoever is willing to help me I'll mark you as brainliest. Thank you!
Answer:
The united nations flag the translation can be any of the blue triangles and the reflection if the flag itself as it is symmetrical
Step-by-step explanation:
The united nations flag the translation can be any of blue triangles and the reflection if the flag itself as it is symmetrical.
How does reflection across axis work?When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.
If we study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.
If you're reflecting a point (x,y) along x axis, then its abscissa will stay same but ordinates will negate. Thus (x,y) turns to (x, -y)
Similarly, if you're reflecting a point (x,y) along y axis, the resultant image of the point will be (-x,y)
Therefore, The united nations flag the translation can be any of blue triangles and the reflection if the flag itself as it is symmetrical.
Learn more about reflection;
https://brainly.com/question/12950057
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What is (f - g)(x)? f(x) = 3x g(x) = -3x² + 3x Write your answer as a polynomial or a rational function in simplest form.
Answer:
3x²
Step-by-step explanation:
(f - g)(x)
= f(x) - g(x)
= 3x - (- 3x² + 3x) ← distribute parenthesis by - 1
= 3x + 3x² - 3x ← collect like terms
= 3x²
When p= 12, t= 2, and s= 5, r= 18. If rvaries directly with p and inversely with the product of sand t, what is the
constant of variation?
Answer:
15
Brainliest, please!
Step-by-step explanation:
r = kp/(st)
p = 12, t = 2, s = 5, r = 18
18 = k(12)/(2)(5)
18 = 12k/10
12k = 180
k = 15
MARKING BRAINLIEST !! using the distance formula falculate the perimeter of the triangle below
a. 27.9 units
b. 24.3 units
c. 25.7 units
d. 28.2 units
Answer:
a
Step-by-step explanation:
i didn't use the distance formula, instead i used the pythagrean theorum. i counted the units for the legs, and made three smaller triangle and solved them to find the lengths of the hypotenuse and the added the three of those together to find the perimiter of the original triangle
Solve the equation.
3(2x + 7) = - 23 + 14
Step-by-step explanation:
6x+21=-9
6x=-9-21
x=-30/6
x= -5
Answer:
[tex]3(2x + 7) = - 23 + 14 \\ 6x + 21 = - 9 \\ 6x = - 30 \\ x = \frac{ - 30}{6} \\ x = 5 \\ thnk \: you[/tex]
4√6 • √6 = ?
I know this, my brain is just being a turd, someone help please-
Answer:
This is very simple . you can easily understand. hope it helps.
Evaluate the expression for x = -3 and y = - 4.
2x+2y=__.
Answer:
-14
Step-by-step explanation:
Substitute the values for the variables.
[tex]2(-3)+2(-4)\\-6-8\\-14[/tex]
Answer:
-14
Step-by-step explanation:
cause you do 2(-3) + 2(-4) = -14
Anyone know the answer?
Answer:
Step-by-step explanation:
(21 + 3y) + y = 90
21 + 4y = 90
4y = 69
y = 17.25
x = 21 + 3(17.25)
x = 21 + 51.75
x = 72.75
Answer check:
72.75 + 17.25 = 90
90 = 90 Corrrrrrect !
Use objects or shapes to describe a a right angle
Answer:
square because it has 4 90⁰ angles
What is the recursive formula of the geometric sequence?
1∕2, 3∕4, 9∕8, 27∕16, ...
Step-by-step explanation:
a=1/2, r=9/8÷3/4
=3/2
Tn=ar^n
Answer:
[tex]x_{0} = \frac{1}{2}[/tex]
[tex]x_{n} = x_{n-1} *(\frac{3}{2} )[/tex]
Step-by-step explanation:
if f(X+4) =3x+4 , then find the value of f(4)
please explain it clearly .
[tex]\\ \sf\longmapsto f(x+4)=3x+4[/tex]
[tex]\\ \sf\longmapsto f(x)=3x+4-4[/tex]
[tex]\\ \sf\longmapsto f(x)=3x[/tex]
Now
[tex]\\ \sf\longmapsto f(4)[/tex]
[tex]\\ \sf\longmapsto 3(4)[/tex]
[tex]\\ \sf\longmapsto 12[/tex]
The length and the width of a rectangle are (2x+5) cm and (2x-7) cm respectively. Given that the area of the rectangle is 14cm^2, find its length and width.
Answer:
Length=13.07 and Breadth=1.07
Step-by-step explanation:
Area=l*b
14=(2x+5)(2x-7)
14=4x^2-4x-35
4x^2-4x-49=0
Using quadratic formula, we have x=(1±5sqrt(2))/2 but as length can't be negative, so x=(1+5*sqrt(2))/2
Length=13.07 and Breadth=1.07
HELP
Write one equation that has solutions of x = -3 and x = 2.
Answer:
x = -3
Equation: 2x + 2 = -4
x = 2
Equation: 3x - 3 = 3
How do I write 125,740,689 in expanded form and in words
What is -0.56 as a fraction in simplest form?
-14/25
-5/6
-56/100
-7/10
Mr. Mad Scientist earns $152, 200 per year. If he has to pay 15% in Income taxes per year how much money does he have after he pays his taxes for the year? *
Answer:
he have after he pays his taxes for a year 152185
What are the coordinates of the quadrilateral WXYZ after it is reflected across the y-axis.
Step-by-step explanation:
the coordinates of the quadrilateral WXYZ after reflected across the y-axis:
W' (3, 4)
X' (-2, 8)
Y' (-4, -4)
Z' (3, -4)
Find the sum of 2√5 AND 4√3 in simplest form. Also, determine whether the result is rational or irrational and explain your answer.
Answer:
hey why you delete my answers
−5x+4y=3
x=2y−15
what would be the values of x and y
Answer:
x=9 y=12
Step-by-step explanation:
eqn 1 - x=2y-15
eqn 2- -5x+4y=3
-5(2y-15)+4y=3
-10y+75+4y-3=0
-6y+72=0
y= 12
x=2y-15
x=2(12)-15
x= 9
[tex]\tt\huge\red{Please \: help \: me!}[/tex]
First find Divisor
Two zeros are -3,-2[tex]\\ \sf\longmapsto x^2-(-3-2)+(-3)(-2)[/tex]
[tex]\\ \sf\longmapsto x^2+5x+6[/tex]
Dividend given by
[tex]\\ \sf\longmapsto x^4-x^3-16x^2+4x+48[/tex]
We know
[tex]\boxed{\sf Dividend=Divisor\times Quotient +Remainder}[/tex]
Remainder is 0[tex]\\ \sf\longmapsto Dividend=Divisor\times Quotient[/tex]
[tex]\\ \sf\longmapsto Quotient=\dfrac{Dividend}{Divisor}[/tex]
[tex]\\ \sf\longmapsto \dfrac{x^4-x^3-16x^2+4x+48}{x^2+5x+6}[/tex]
[tex]\\ \sf\longmapsto x^2-6x+8[/tex]
Now factor
[tex]\\ \sf\longmapsto x^2-6x+8=0[/tex]
[tex]\\ \sf\longmapsto x^2-4x-2x+8=0[/tex]
[tex]\\ \sf\longmapsto x(x-4)-2(x-4)=0[/tex]
[tex]\\ \sf\longmapsto (x-4)(x-2)=0[/tex]
[tex]\\ \sf\longmapsto x-4=0\:or\:x-2=0[/tex]
[tex]\\ \sf\longmapsto x=4\:or\:x=2[/tex]
Hence all zeros are
2,-2,-3,4Use Distributive property to write the expression without parentheses
Answer:
-4x + 5y
Step-by-step explanation:
-1/6 x 24 x simplifies to -1 times 4x, which is -4x. -1/6 times -30y simplifies to -1 times -5y, which is 5y.
Translate each phrase into a variable expression. Use n for the variable. Five more then a number
Step-by-step explanation:
I only see one phrase (correcting a typo) : "five more than a number".
that is expressed in math by using "n" for the variable "number " :
n + 5
or
5 + n
as additions and multiplications are commutative, they can be written and executed in any sequence. it is always the same result.
Vie sold 45 raffle ticket. his brother sold twice as many. How many tickets did the sell together?
Answer:
135 tickets
Step-by-step explanation:
Vie's brother sold twice as many as Vie. So we multiply Vie's tickets by 2 to get the brother's.
VIe's brother sold 45 * 2 = 90 tickets
And all together the two sold
45 + 90 = 135 tickets
how do I identify different terms in an equation