Answer:
y = 5/2x + 6
Step-by-step explanation:
Find the slope:
[tex]m=\frac{y_1-y_2}{x_1-x_2}\\\\m=\frac{11-21}{2-6}\\\\m=\frac{-10}{-4}\\\\m=\frac{5}{2}[/tex]
Use point-slope form to find the equation in slope-intercept form:
[tex]y-y_1=m(x-x_1)\\\\y-11=\frac{5}{2} (x-2)\\\\y-11=\frac{5}{2}x-5\\\\y=\frac{5}{2}x+6[/tex]
The equation of the line for the function will be y = 5/2x + 6.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the graph of a linear function passes through points (2, 11) and (6,21).
Slope = ( 21 - 11 ) / ( 6 - 2 )
Slope = 10 / 4
Slope = 5 / 2
The y-intercept will be calculated as:-
y = mx + c
y = ( 5 / 2 )x + c
11 = ( 5 / 2 ) x 2 + c
c = 11 - 5
c = 6
The equation of the line will be:-
y = mx + c
y = (5/2)x + 6
To know more about an equation of the line follow
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Question 10 of 10 To find the inverse of f(x) = 2x - 1, Patel begins by replacing f(x) with y. He then switches x and y. What is the next step? A. Replace y with f-1(x). B. Subtract 1 from both sides of the equation. C. Solve the equation for y. O D. Solve the equation for x. SUBMIT
Answer:
f⁻¹(x) = (x+1)/2
Step-by-step explanation:
Given the function f(x) = 2x - 1, we are to find its inverse;
Let y = f(x)
y = 2x - 1
Replace y with x
x = 2y - 1
Make y the subject of the formula
2y = x + 1
Divide both sides by 2
2y/2 = (x+1)/2
y = (x+1)/2
Replace y with f⁻¹(x)
f⁻¹(x) = (x+1)/2
Hence the required inverse is (x+1)/2
Which is the x-intercept of f(x) = log6(2x) – 1?
Answer:
Hope this helps!
Please mark brainliest!
x-intercept(s):
(1/log(36),0)
y-intercept(s):
(0,−1)
cuanto me da como resultado
Step-by-step explanation:
1) [tex](-4)^2{\cdot}(-4)[/tex]
We know that, [tex]a^x{\cdot}a^y=a^{x+y}[/tex]
[tex](-4)^2{\cdot}(-4)=(-4)^{2+1}\\\\=(-4)^3\\\\=64[/tex]
2) [tex](-2)^5{\cdot} (-2)^3[/tex]
Again using above property,
[tex](-2)^5{\cdot} (-2)^3=(-2)^8\\\\=256[/tex]
3) [tex]5^{-3}[/tex]
We know that,
[tex]a^{-x}=\dfrac{1}{a^x}[/tex]
So,
[tex]5^{-3}=\dfrac{1}{5^3}\\\\=\dfrac{1}{125}[/tex]
4) [tex]2.5^2=2.5\times 2.5\\\\=6.25[/tex]
Hence, this is the required solution.
Please please help me
I really need help
The questions are
1)Calculate the perimeter of this figure.
2)Calculate the area of the shaded region.
Answer:
(1) 102.55 in
(2) 316.69 in²
Step-by-step explanation:
Applying (1)
a² = b²+c².............. Equation 1
Given: a = 25 in, b = 20 in,
25² = 20²+b²
b² = 25²-20²
b² = 225
b = √225
b = 15 in
b = diameter of the semicircle
The lenght of the semicircle = πd/2 = 3.14×15/2 = 23.55 in
Therefore,
P = 37+25+17+23.55 = 102.55 in
(2) Applying,
A = Area of the tripezium- area of the semi circle
A = [h(a+b)/2]-πh²/8.............. Equation 2
Given; h = 15 in, a = 17 in, b = 37 in
A = (15(17+37)/2)-(3.14×15²/8)
A = 405-88.31
A = 316.69 in²
Select the correct answer.
Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true?
A.
Shape 1 and shape 2 are not congruent.
B.
A translation will prove that shape 2 is congruent to shape 1.
C.
A rotation and a translation will prove that shape 2 is congruent to shape 1.
D.
A reflection, a rotation, and a translation will prove that shape 2 is congruent to shape 1.
what is 2(j-4)>=-6? solve the inequality for j
Answer:
J >= 1 or j is greater than or equal to 1
Step-by-step explanation:
Write equation:
2(j-4)>= -6
1. Distribute:
2j - 8 >= -6
2. Add 8 on both sides:
2j -8 +8 >= -6 + 8
2j >= 2
3. Divide 2 on both sides:
2j/2 >= 2/2
j >= 1
There ya go! Hope this helps, have a good night or day! ;)
Here are 2 right triangles.
9
S
у
a. Explain how you know the right triangles are similar.
Type your response in the space below.
В І о
B
Answer:
Step-by-step explanation:
They are similar because they have two respective congruent angles
In 10 years, the population of Detroit fell from 950,000 to about 712,500. Find the total percent decrease.
Answer: 237,500 total decrease
Step-by-step explanation:
7 pens and 2 pencils cost 22
3 pens and 4 pencils cost 11
Find the cost of a pen
find the cost of a pencil
Pen : $3
Pencil : $0.50
What is the solution to the system of equations graphed below?
(1, 2) because that's where the lines intersect!
Answer: (1, 2)
Step-by-step explanation:
The solution of the systems of equations graphed can be found where the two linear lines intersect. In this graph, the lines intersect at 1 in the x-axis (the line with arrows that runs from left to right" and at 2 in the y-axis (the line with arrows that runs north to south).
FIND BD !!!!!!!!!!!!!!!!!!!!
BD = 2x-4
But it's also BE - CE + CD
BE is 3x-1
CE is 2x-3
CD is 2
so
BD = 3x-1 -(2x-3) +2
simplified
BD = 1x +4
since BD = BD (obviously), we can also say that the righthand sides of the two equation must be equal
2x -4 = 1x +4
let's solve for x and that put it into either of the 2 equations.
2x -4 = 1x +4
subtract 1x on both sides
x -4 = 4
add 4 on both sides
x = 8
substitute x for its value in 2x -4 = 1x +4
(this way we double check BD in two expressions at once. the equation should come out true, meaning same value for BD in each expression. both sides should be equal).
2*8 -4 = 1*8 +4
12 = 12
seems true
BD is safely 12
Which exponential equation correctly rewrites this logarithmic equation? log6 18=x
Given:
The logarithmic equation is:
[tex]\log_618=x[/tex]
To find:
The exponential equation of this logarithmic equation.
Solution:
According to the properties of logarithm:
[tex]\log_bm=x\Leftrightarrow m=b^x[/tex]
We have,
[tex]\log_618=x[/tex]
Here, [tex]b=6, m=18[/tex]. Using the above property of logarithm, we get
[tex]18=6^x[/tex]
Therefore, the required exponential equation is [tex]18=6^x[/tex].
Answer:
the awnser is acctully 6^x =18
Step-by-step explanation:
which value from the set{2,14,16,63}makes the equation n-7=9 true
Answer:
16.
Step-by-step explanation:
n - 7 = 9
Add 7 to both sides
n = 9 + 7 = 16.
Answer:
16
Step-by-step explanation:
Given
n - 7 = 9 ( add 7 to both sides )
n = 16
Which is the value of 2c2d if c = 0.5 and d = 3?
A. 0.15
B. 1.5
C.33
D. 6
E 15
Answer:
The answer is D (6).
hope this helps!
what is the first 50 digitizes of PI
Answer:
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196
Step-by-step explanation:
1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9 5 0 2 8 8 4 1 9 7 1 6 9 3 9 9 3 7 5 1 0 5 8 2 0 9 7 4 9 4 4 5 9 2 3 0 7 8 1 6 4 0 6 2 8 6 2 0 8 9 9 8 6 2 8 0 3 4 8 2 5 3 4 2 1 1 7 0 6 7 9 8 2 1 4 8 0 8 6 5 1 3 2 8 2 3 0 6 6 4 7 0 9 3 8 4 4 6 0 9 5 5 0 5 8 2 2 3 1 7 2 5 3 5 9 4 0 8 1 2 8 4 8 1 1 1 7 4 5 0 2 8 4 1 0 2 7 0 1 9 3 8 5 2 1 1 0 5 5 5 9 6 4 4 6 2 2 9 4 8 9 5 4 9 3 0 3 8 1 9
What is 39,800,000 in scientific notation PLS HELP
Answer:
3.98 x 10^7
Step-by-step explanation:
Answer:
3.98x10^7Step-by-step explanation:
What is the value of X?
What is the relationship between the marked angles?:
Linear pair
Exterior angle of a triangle
Corresponding angles
Vertical angles
Alternate interior angles
Answer:
Vertical Angles
x = 21
Step-by-step explanation:
Vertical Angles
4x + 3 = 87
4x = 84
x = 21
A cylindrical flower vase has a diameter of 6cm and a volume of 171cm^(3)
Determine the height of the vase.
Answer:
h = 6.05 cm
Step-by-step explanation:
Volume of a cylinder = πr²h
Where,
Pi, π = 3.14
Radius, r = diameter/2 = 6 cm/2
= 3 cm
Height, h = ?
Volume if the cylinder = 171 c ³
Volume of a cylinder = πr²h
171 = 3.14 * 3² * h
171 = 3.14 * 9 * h
171 = 28.26 * h
171 = 28.26h
h = 171/28.26
h = 6.0509554140127
Approximately,
h = 6.05 cm
The base of triangle M is four times the base of tri-
angle N, while the height of triangle N is half the
height of triangle M. The area of triangle M is how
many times that of triangle N ?
Answer:
two times
Step-by-step explanation:
ΔM: let 'h' = height; let '4b' = base
ΔN: let 'h/2' = height; let 'b' = base
Area (ΔM) = 2bh
Area (ΔN) = bh
Someone help I have been stuck on this for 30 min
Answer:
fcuck off nobdy caresd XD
Step-by-step explanation:
just give me brainliest, too poor to even be good at life LOL JiEW
EDIT BCS YALL ARE GAEY A F
When solving an equation, Carmen's first step is shown below. Which property justifies Carmen's first step?
Answer:
Subtraction property of equality
Step-by-step explanation:
In the equation, 5 is subtracted from both the sides
A motor has an internal resistance of 12.1 Ω. The motor is in a circuit with a current of 4.0 A
What is the voltage?
HELP PLEASE
Answer:
48.4 volts
Step-by-step explanation:
by using the formula :
V = I × R, we get :
V = 4.0 × 12.1 = 48.4 volts
Please Help. It would be very helpful to me
Answer:
A) 2 inches
Step-by-step explanation:
PLEASE HELP ASAP IM TIMED!!
What is the standard form of y=2(x-3)(x+5) and show your work
Answer:
o really sis/bro hsgsmhsndjd
Consider the function and its inverse.
f(x) = x2 + 4 and f-1(x) = -x - 4
When comparing the functions using the equations, which conclusion can be made?
The domain of f(x) is restricted to x 20, and the domain of f'(x) is restricted to x2 0.
The domain of f(x) is restricted to x 20, and the domain off(x) is restricted to xs 0.
O The domain of f(x) is restricted to x s 0, and the domain off'(x) is restricted to x2 4.
O The domain of f(x) is restricted to x s 0, and the domain off'(x) is restricted to x s 4.
Step-by-step explanation:
it might be the last one
may it helped u
Ok if I have 159 booklets to do and I do 12 in a year how many years will it take to finish all the booklets?
Answer:
13.25 years
Step-by-step explanation:
Take the number of booklets and divide by the number of booklets per year
159/12
13.25 years
HELPPPP Trigonometry QUESTIONS
Answer:
Step-by-step explanation:
for the right side :
its a triangular prism and the volume is 4 x 8 x 10 = 320.
the SA is 10x4 divided by 2 x 2which is just 40.
8x5x2= 80 and
10x10= 100, so
the SA of the right figure is 220 in^2
A ladder 30m long rest against a vertical wall. If the ladder makes an angle of 63° with the wall ,find the distance between the foot of the ladder and the wall
Answer:
13.62 m
Step-by-step explanation:
We are to determine the value of the adjacent side given the value of the hypotenuse
we would use cos to determine this value
cos 63 = adjacent / hypotenuse
0.45399 = x / 30
x = 30 x 0.45399 = 13.62
Cecily claims that the equation y = mx + b, where b is a real number,
represents a function whose graph is a line. Which statement BEST
classifies this claim?
Cecily's claim is true only when b is zero.
Cecily's claim is true for all values of b.
Cecily's claim is not true for any value of b.
Cecily's claim is true only when b is not zero
Answer:
Cecily's claim is true for all values of b.
Step-by-step explanation:
Cecily's claim is true for all values of b.
If she graphs y = mx, and then y = mx + b, and then y = mx + c, and so on, she will find that her graphs are all straight lines that are parallel to each other (as they will all have the same slope, m).
What is the vaule of tan-240 degrees?