Answer:
The equation should be
n is used to represent a number.
1/3 is in fraction form
It also says 6 less than 1/2 of a number, so -6 should be after 1/3n. The operation happening between 1/3 and n is multiplication
Your final equation: 5=1/3n-6
Answer:
n = 33
Step-by-step explanation:
[tex]5=\frac{1}{3} n-6[/tex] ..... (1)
(1) × 3
15 = n - 18 ⇒ n = 33
Yesterday the temperature was 11°C. Today it is -11°C. In degrees Celsius, what is the change in
temperature?
Write the expression as the
sine or cosine of an angle.
Answer:
sine(pie/5+pie/2)
Step-by-step explanation:
The expression, written as the sine of an angle is sin (7π/10)
Trigonometry Identities
From the question, we are to write the given expression as the sine or cosine of an angle.
The given expression is
sin(π/5)cos(π/2) + sin(π/2)cos(π/5)
Let A = π/5
and
B = π/2
Thus, we get
sinA cosB + sinB cosA
From the given information, we have that
sin(A ± B) = sinA cos B ± cosA sinB
∴ sin(A + B) = sinA cos B + cosA sinB
Now,
sinA cosB + sinB cosA = sinA cosB + cosA sin B
∴ sinA cosB + sinB cosA = sin (A + B)
Put A = π/5
and
B = π/2
sinπ/5 cosπ/2 + sinπ/2 cosπ/5 = sin (π/5 + π/2)
sinπ/5 cosπ/2 + sinπ/2 cosπ/5 = sin (7π/10)
Hence, the expression, written as the sine of an angle is sin (7π/10)
Learn more on Trigonometry identities here: brainly.com/question/12994136
#SPJ1
Please tell me the answer
Answer:Right
Step-by-step explanation:
Positive on the graph is right have a great day hope this helps!!
The diagram shows a triangle.
19c+16°
13c
17c+17°
What is the value of c?
c =
°
Answer:
c=3
Step-by-step explanation:
Angle sum of a triangle is 180°
(19c+16)°+13c°+(17c+17)°=180°
collect the like terms i.e
19c+13c+17c+16+17=180°
49c°+33°=180°
49c°=180°-33°
49c°=147
dividing by 49 both sides
49c/49=147/49
c=3
What is the domain and range please?
Answer:
Step-by-step explanation:
Domain:-{-4,3) or -4≤x<3
Range:-(-5,5) or -5<y<5
function:-no
Write an equation in point -slope form with given information
slope is -5
point at (-3,8)
Answer:
Step-by-step explanation:
If we know the slope and a point, we can easily write it in point-slope form
[tex]y - y_1 = m(x-x_1)\\y - 8 = -5(x-(-3))\\y - 8 = -5(x+3)[/tex]
find exact value for cos( theta) if sin(theta)=0.25 , 90
Answer:
Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.
Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.
Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation
Step-by-step explanation:
Which choice is equivalent to the fraction below x>=3?
Answer:
Answer: D. 2(V[x} + V{x - 2}) Step-by-step explanation: As hinted in the question, we have to simplify the denominator. To understand it easier, let's imagine we have x - y in the denominator. If we multiply it with x + y we'll get x? - y, right? Check the next line: (x - y) (x + y) = x² + xy -xy - y? = x² - y? If we have the square of those nasty square roots, it will be much simpler to deal with. So, let's multiply the initial fraction using x+y, but with the real values: 4 x-2 x+Vx-2 x-2 4(Va+v-2) (V#)² -(væ–2)² Then we simplify: 4(va+væ-2) 4(Va+va-2) (Væ)2-(Va-2)2 2(Va + Va – 2) 4(va+va-2) (x) -(x-2) 2 Answer is D. 2(V{X} + v{x - 2})
Just need the blank answers
Answer:
(x+1)(x-1) and x = -1, 1, 2
Step-by-step explanation:
x^2 - 1 factors to (x+1)(x-1)
x+1 = 0; x = -1
x-1 = 0; x = 1
x-2 = 0; x = 2
What is the product of 0.4 and 0.9
Answer:
0.36
Step-by-step explanation:
0.4=4/10
0.9=9/10
9/10 times 4/10= (9 times 4)/(10 times 10)=36/100=0.36
Another way you could've done it was to see that since there are 2 decimal points there, the product would also have to have 2 decimal points.
Answer:
.36
Step-by-step explanation:
A sculpting tool is in the shape of a solid triangular prism. The tool is made of 12 in.3 of metal and is 4 in. Long. What is the height of the base if it is 2 in. Wide?
Answer:
The height of the base if it is 2 in. Wide is 3 inches
Step-by-step explanation:
Volume of rectangular prism = [tex]\frac{1}{2} \times Length \times Base \times Height[/tex]
Volume of given rectangular prism = [tex]12 in^3[/tex]
Length of prism = 4 in
Base of prism = 2 in
Substitute the values in formula
So, [tex]12 = \frac{1}{2} \times 4 \times 2 \times Height[/tex]
[tex]\frac{12 \times 2}{4 \times 2}=Height[/tex]
3 = Height
Hence the height of the base if it is 2 in. Wide is 3 inches
Answer:
3 inches
Step-by-step explanation:
What is the point-slope form of an equation for a line that passes through the point (5, –5) with the slope of 2?
Answer:
y + 5 = 2(x - 5)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 2 and (a, b) = (5, - 5) , thus
y - (- 5) = 2(x - 5) , that is
y + 5 = 2(x - 5)
1-2 Attributes of Functions
Find the domain, range, and intercepts of the function f (x) = 7x + 11
O A
OB.
domain: (-00,00) ; range:
domain: (-00,00) ; range: (–00,00) ix-intercept: (11,0) : v-intercept: (0, - 2)
[-4,11] :x-intercept: (11,0) : vintercept: (0, - )
[- 4,0] :x-intercept: ( - 4,0) : v-intercept:(0, 11)
domain: (-00,00) + range: (–00,00) : x-intercept: (- 4,0) : vintercept:(0, 11)
C.
domain: (0, 11] : range:
D.
Given:
The function is
[tex]f(x)=7x+11[/tex]
To find:
The domain, range, and intercepts of the function.
Solution:
We have,
[tex]f(x)=7x+11[/tex]
It is a linear function, and domain and range of these types of functions are all real numbers.
[tex]Domain:(-\infty,\infty)[/tex]
[tex]Range:(-\infty,\infty)[/tex]
Put x=0 in f(x), to find the y-intercept.
[tex]f(0)=7(0)+11[/tex]
[tex]f(0)=0+11[/tex]
[tex]f(0)=11[/tex]
So, the y-intercept is 11.
Put f(x)=0 in f(x), to find the x-intercept.
[tex]0=7x+11[/tex]
[tex]0-11=7x[/tex]
[tex]-11=7x[/tex]
Divide both sides by 7.
[tex]\dfrac{-11}{7}=x[/tex]
So, the x-intercept is [tex]\dfrac{-11}{7}[/tex].
Therefore, [tex]Domain:(-\infty,\infty), Range:(-\infty,\infty), x-intercept : (\dfrac{-11}{7},0),[/tex] [tex]y-intercept :11[/tex].
Which graph can be used to find the solution of the following system of equations?
Answer:
A
Step-by-step explanation:
1. Honestly, my course of action, if allowed to, would be to use my graphing calculator. Obviously, you can graph the first equation but the second one requires some rearranging, keeping in mind that we are isolating the y.
[tex]2y-2x=10[/tex]
[tex]2y=2x+10[/tex]
[tex]y=x+5[/tex]
So now we have an equation of the line. Simply enter both of these equations into your graphing calculator and you're all set.
I hope this helps!
what5 is 12.4 x -1.35
Answer: -16.74
Step-by-step explanation:
Answer:-16.74
Step-by-step explanation:
If you can help with any of these please do, and thank you!
1) Domain
Range
Function?
2) Domain
Range
Function?
3) Domain
Range
Function?
N
4) Domain
Range
Function
5) Domain
Range
Function?
6) Domain
Range
Function?
Answer:
3 or 5
Step-by-step explanation:
Date
Page
A rectangular meadow has an area of 28 square
meter and perimeter 22 m, find the length and breadth.
Answer:
perimeter =22m
area=28square meter
perimeter of rectangle=4l
22m=4l
22÷4=l
5.5=l
l=5.5m
area of rectangle =l×b
28=5.5×b
28÷5.5=b
5.09=b
b=5.09m
length =5.5m and breadth =5.09m answer !!!!
Patti ran the race in 8.4 minutes. Maisha ran it in 8.04 minutes. How does the value of 4 in Maisha's time compare with the value of 4 in Patti's time?
Answer:
Maisha ran the race in .36 seconds faster than Patti.
8.4 - 8.04 = .36
Which word best describe reflection
A.Line of symmetry
B.Mirror-image
C.identical
D.All of the above
Answer:
B
Step-by-step explanation:
Which word best describe reflection
A.Line of symmetry
B.Mirror-image
C.identical
D.All of the above
is this vertical or alternate exterior
What is the distance between the following coordinates? Show work.
(5, -6) and (3, 4)
SHOW WORK
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{2 \sqrt{26}}} \: \: \text{units} } } [/tex]
♁ Question :Find the distance between ( 5 , -6 ) and ( 3 ,4 ).♁ Step by step explanation:Let the points be A and B. Now,
Let, A ( 5 , -6 ) ⇢ ( x₁ , y₁ )Let, B ( 3 , 4 ) ⇢ ( x₂ , y₂ )Use the distance formula to determine the distance between A ( 5 , -6 ) and B ( 3 , 4 ).
[tex] \boxed{ \underline{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}}[/tex]
Substitute the actual value of the points into the distance formula and then simplify.
[tex] \dashrightarrow{ \sf{ \sqrt{ {(3 - 5)}^{2} + {(4 - ( - 6))}^{2} } }}[/tex]
Remember : The positive and negative integer are always subtracted but posses the sign of the bigger integer.
[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 2)}^{2} + {(4 - ( - 6))}^{2} } }}[/tex]
Remember : ( - ) × ( - ) = ( + )
[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 2)}^{2} + {(4 + 6)}^{2} } }}[/tex]
Add the numbers : 4 and 6
[tex] \longrightarrow{ \sf{ \sqrt{ {( - 2)}^{2} + {(10)}^{2} } }}[/tex]
Evaluate the power
[tex] \longrightarrow{ \sf{ \sqrt{4 + 100}}} [/tex]
Add the numbers : 4 and 100
[tex] \dashrightarrow{ \sf{ \sqrt{104}}} [/tex]
[tex] \dashrightarrow{ \boxed{ \sf{2 \sqrt{26} }}}[/tex] units
Therefore , The distance between ( 5 , -6 ) and ( 3 , 4 ) is [tex] \sf{2 \sqrt{26}} [/tex] units .
And we're done!
Hope I helped!
Have a wonderful time ! シ
~TheAnimeGirl
I need to graph the points where the line crosses the axes. Also a basic explanation of how to do so would be helpful
Answer:
(0,6) and (-2, 0)
Step-by-step explanation:
All straight lines follow the equation, y = mx + c. where c is the y-intercept (the point where the line meets the y-axis) and m is the gradient.
In this equation, c = 6. So, the point where the line meets the y-axis is (0, 6).
Remember: the point where the line meets the y-axis always has an x-coordinate of 0 and the point where the line meets the x-axis has a y-coordinate of 0.
using this information, we can substitute y in the equation with 0 becoming
0 = 6 + 3x
now we can solve for x.
0 -6 = 3x
-6 / 3 = x
x = -2
the coordinate is (-2, 0)
Hi, anyone able to help with qn 7? Thanks :)!
Answer:
Step-by-step explanation:
I used the quadratic formula to find the roots of [tex]x^{2} + x -1[/tex]
[tex]a=\frac{-1-\sqrt{5}}{2} b=\frac{-1+\sqrt{5} }{2}[/tex]
[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} )^{2} * \frac{-1+\sqrt{5}}{2}[/tex]
[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} ) * \frac{-1+\sqrt{5}}{2}*(\frac{-1-\sqrt{5}}{2} )[/tex]
[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} ) * \frac{-1+\sqrt{5}-\sqrt{5} -4}{4}[/tex]
[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} ) * \frac{ -4}{4}[/tex]
[tex]\frac{1 }{\sqrt{3} } *(\frac{-1-\sqrt{5}}{2} ) * -1[/tex]
[tex]\frac{-1-1\sqrt{5} }{2\sqrt{3} }*-1[/tex]
[tex]\frac{-1-1\sqrt{5} }{2\sqrt{3} } = \frac{\sqrt{5}+1 }{2\sqrt{3} }[/tex]
The point plotted on the number line is What is the approximate value of x? 04 O 9 O 17 O 20
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[tex] \sqrt{17} ≈4.1[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is Option Three .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
C
Step-by-step explanation:
A basketball costs $12. there is a 7% sales tax charge on this item and shipping costs are 5.23. what is the total cost to purchase the basketball? PLS answer right and show your equation and I will mark you as brainlist!!!!!!!
2x - 6y = - 24 and x + -5y = -22
by substitution
Answer:
2x-6y=-24
2x=-24+6y
x=-24+6y÷2
x=-12+3y equation 1
x+(-5y)=-22
-12+3y-5y=-22
-13-2y=-22
-2y=-22+13
-2y=-9
y=-9÷2
y=4.5equation 2
putting value of equation 2 in equation 1
x=-12+3y
x=-12+3×4.5
x=-12+13.5
x=1.5 answer!!!
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Answer:
The answer is 20 feet..
The length of a rectangle is 3 inches more than its width. The perimeter of the rectangle is 34 inches.
The length of the rectangle is ___ Inches, and its width is ___ inches.
Answer:7 and 10
Step-by-step explanation:
Trust I got it 100% right
Answer:
1
Step-by-step explanation:
How can you use a table to determine whether the relationship between two quantities is proportional?
Answer:
no
Step-by-step explanation:
no
Please help! -3n+147=0
Answer:
n = ±7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving quadraticsStep-by-step explanation:
Step 1: Define equation
-3n² + 147 = 0
Step 2: Solve for n
Subtract 147 on both sides: -3n² = -147Divide -3 on both sides: n² = 49Square root both sides: n = ±7