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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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
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).
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:
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
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
Please Help. It would be very helpful to me
Answer:
A) 2 inches
Step-by-step explanation:
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
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.
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
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.
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
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
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
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! ;)
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
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
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:
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
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
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!
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
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:
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
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
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).
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
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
What is the vaule of tan-240 degrees?
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