Answer:
y = [tex]\frac{1}{3}[/tex] x + 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x + y = 4 ( subtract 3x from both sides )
y = - 3x + 4 ← in slope- intercept form
with slope m = - 3
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-3}[/tex] = [tex]\frac{1}{3}[/tex]
Given c = 2 , then
y = [tex]\frac{1}{3}[/tex] x + 2 ← equation of perpendicular line
Henry takes a math test that had 20 questions.
He answered 17 questions correctly and 3 questions incorrectly.
Use this information to answer the questions below.
what type of function is y=x^2+6x+5
Hello.
[tex]\mathrm{y=x^{2} +6x+5}[/tex] is a quadratic function, because it has an [tex]\mathrm{x^{2} }[/tex] (x squared, or x times x) term.
Here's what linear functions look like:
[tex]\mathrm{y=mx+b}[/tex]
A graph of a linear function is a line.
Quadratic functions look like so:
[tex]\mathrm{y=ax^{2} +bx+c}[/tex]
A graph of a quadratic function is a parabola.
Therefore, the given function is a quadratic function.
I hope this helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
8x − 2y = 1 with − 4x + y = 3 do these equations have one solution, no solutions, or infinite solutions.
Answer:
No Solution
Step by step explanation:
Multiply both sides of the equation by a coefficient:
[tex]\left \{ {{8x-2y=1} \atop {2(-4x+y)=3*2}} \right.[/tex]
Apply Multiplicative Distribute Law:
[tex]\left \{ {{8x-2y=1} \atop {-8x+2y=3*2}} \right.[/tex]
Calculate the Product
[tex]\left \{ {{8x-2y=1} \atop {-8x+2y=6}} \right.[/tex]
Add up the two equations:
[tex]8x-2y+(-8x+2y)=1+6[/tex]
Remove parentheses:
[tex]8x-2y-8x+2y=1+6[/tex]
Cancel the unknown variables:
[tex]0=1+6[/tex]
Calculate the Sum:
[tex]0=7[/tex]
Answer = No Solution
[RevyBreeze]
Does a right scalene exist?
Yes or no
Answer:
yes
Step-by-step explanation:
a scalene triangle is a triangle with sides of different lengths
for example, a triangle with sides lengths of 5, 4, and 3 is a scalene triangle with a 90º angle
Please help! 20 points thanks :)
Answer:
-5
Step-by-step explanation:
The equation for slope is:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We can plug in the given coordinates into the equation:
[tex]Slope=\frac{-2-3}{3-2}=\frac{-5}{1}=-5[/tex]
The land that Dana is buying for her new house is 35 yards by 50 yards. How many SQUARE FEET of land is Dana buying?
Answer:
5,250 ft2
Step-by-step explanation:
First you would multiply 35 by 50 which gives you 1,750. Then you multiply it by three because there are three feet in a yard. So your answer comes to 5,250 ft2.
left side is off a polygon have length 5, 7, 8, 11 and 19 cm of a similar polygons is 75 cm find the lengths of the sides of large polygon
Answer:
df
Step-by-step explanation:
df
Answer:
7.5 , 10.5 , 12 , 16.5 , 28.5 are the sides of Larger polygon Step-by-step explanation: The sides of a polygon have lengths 5,7,8,11 and 19 cm Perimeter ...
Missing: left off
Step-by-step explanation:
thats it
Find thw coordinates of A
Answer:
(√2/2,√2/2)
Step-by-step explanation:
In the unit circle, you have x and y, which are x = cos θ and y = sin θ.
So since the angle is 45 degrees, you have (cos θ, sin θ) which is (√2/2,√2/2).
Your welcome, comment if you have any questions! :D
what is 5+5x62 divided by 2
Answer:
the answer is 310
Step-by-step explanation: 5+5 = 10 and 10 x62= 620
620 divided by 2 = 310
Answer:
160
Step-by-step explanation:
5+5x62 divided by 2
5+(5x62) divided by 2
5+310 divided by 2
5+ 155=
160
Santa sent Mrs. Claus $15 a month. What was the effect on his income in 4 months?
If triangle ABC was reflected over the y-axis, what would be the coordinates of B’?
grid with a triangle
(4, 3)
(-3, -4)
(-4, -3)
(3, 4)
These are my friends and my little sister with em', she's 11.
Answer:
7, -7 , 14 I'm not sure may true or false
Please help, I understand how to do the first half of the problem, but don’t know how to solve for the second equation!!
an absolute value equation is always a twin equation in disguise, so
[tex]6|x-7|=48\implies |x-7|=\cfrac{48}{6}\implies |x-7|=8\implies \pm(x-7)=8 \\\\[-0.35em] ~\dotfill\\\\ +(x-7)=8\implies \boxed{x=15} \\\\[-0.35em] ~\dotfill\\\\ -(x-7)=8\implies x-7=-8\implies \boxed{x=-1}[/tex]
What percent of 650 is 2
Answer:
0.31
Step-by-step explanation:
2/650 = 0.00307... x 100 = 0.31
la suma de dos números es 106 y el mayor excede al menor en 8. hallar los numeros
Answer:
write a letter to your sister give her three reasons why you want to go to a day school
Which graph shows a function and its inverse?
very simple it's b. tell me if you need help with anything els
If f(x) = 4x² + +5 then, f(-2)
Answer:
Step-by-step explanation:
equation is given as
[tex]fx=4x^{2} +5[/tex] if [tex]fx[/tex] is [tex]f(-2)[/tex] then we knew the vale of x which is [tex]-2\\[/tex] so we will substitute it in the equation as:
[tex]f(-2) = 4(-2)^{2} +5[/tex]
solve:
[tex]-2f=4(4)+5\\-2f=16+5\\-2f=21\\\frac{-2f}{-2} =\frac{21}{-2}[/tex]
[tex]f=\frac{21}{-2}[/tex]
[tex]f=-10.5[/tex]
The length of a rectangular garden is 7ft more than the width. The perimeter is 50 ft. Find the width.
Please its urgent! oh and SHOW WORK!!
Worth 20 points :)
W=9
Step-by-step explanation:Hope this helps, here is the answer please mark Brainliest.
Kathryn is selling bracelets at the school store. Each bracelet is 9.75 inches long. She wants to display the bracelets in one long line. About how long, in inches, would the total length of the bracelets be if she lined up 9 bracelets end-to-end?
Answer:
87.75
Step-by-step explanation:
9*9.75 = 87.75
I hope that helped :)
Hannah has information about an object in circular orbit around Earth. MEarth = 6. 0 × 1024 kg G = 6. 67 × 10–11 StartFraction m Superscript 3 Baseline over kilograms times s Superscript 2 Baseline EndFraction. Rearth=6. 0 x 106 m Using the information given what does Hannah need in order to calculate the tangential speed of the orbiting object ? the mass of the orbiting object the distance of the orbiting object to Earth the orbital period of Earth the radius of Earth.
In order to calculate the tangential speed of the orbiting object Hannah need the distance of the orbiting object to Earth.
What is the tangential speed of the object?The tangential speed of an object is the linear component of the speed, which is moving in a circular path.
In terms of the gravitation constant, the tangential speed can be given as,
[tex]v=\sqrt{\dfrac{Gm}{r}}[/tex]
Here, {G} is the gravitation constant, (m) is the mass and (r) is the radius.
Hannah has information about an object in circular orbit around Earth.
The mass of the earth is.
[tex]m_E=6. 0 \times10^{24} kg[/tex]
The value of gravitational constant is,
[tex]G=6. 67\times 10{-11}\rm Nm^2/kg^2[/tex]
The radius of the earth is,
[tex]r_E=6. 0 \times 10^6 \rm m[/tex]
Here, only the distance of the orbiting object to Earth is need to find the tangential speed of the object.
Hence, in order to calculate the tangential speed of the orbiting object Hannah need the distance of the orbiting object to Earth.
Learn more about the tangential speed here;
https://brainly.com/question/4933588
What is the value of b?
Answer:
b = 35
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
2b - 13 + 2b - 11 + 2b - 6 = 180 , that is
6b - 30 = 180 ( add 30 to both sides )
6b = 210 ( divide both sides by 6 )
b = 35
Ed buys a box of eggs costing £2.40, two packs of bacon for £2.60 each and two tins of baked beans.
He pays with a £10 note and gets 80p change.
How much does a tin of beans cost in pounds?
Answer:
a tin of beans costs 80p
Step-by-step explanation:
Let b = 1 tin of baked beans
80p = £0.80
Therefore, we can create an equation from the given information and solve for b:
⇒ 2.40 + 2(2.60) + 2b = 10 - 0.80
⇒ 2.40 + 5.20 + 2b = 10 - 0.80
⇒ 7.60 + 2b = 9.20
⇒ 2b = 1.60
⇒ b = 0.80
Therefore, a tin of beans costs 80p
What’s the mean of 4 7 5 4 8 2
Answer:
5
Step-by-step explanation:
4 + 7 + 5 + 4 + 8 + 2 = 30
30 ÷ 6 = 5
5
4+7+5+4+8+2=30
30 divided by 6=5
. The turning point of f(x) = 2x2 - 11x +8 is
-
Answer:
[tex]\left(\dfrac{11}{4},-\dfrac{57}{8}\right)[/tex]
Step-by-step explanation:
[tex]f(x) = 2x^2 - 11x +8[/tex]
Quickest way is to differentiate the function, equate it to 0, solve for x, then substitute value of x into original function to find y:
[tex]f'(x)=4x-11[/tex]
[tex]f'(x)=0[/tex]
[tex]\implies 4x-11=0[/tex]
[tex]\implies x = \dfrac{11}{4}[/tex]
[tex]f(\frac{11}{4}) = 2(\frac{11}{4})^2 - 11(\frac{11}{4}) +8=-\dfrac{57}{8}[/tex]
The midpoint of AB is )M(7,−5). If the coordinates of A are (6,−7), what are the coordinates of B?
Answer:
B(8, -3)
you can consult
Step-by-step explanation:
A(6, -7); B( x, y); M(7;-5)
x=7×2-6=8
y=-5×2-(-7)=-3
Answer:
(8,-3)
Step-by-step explanation:
mid point formula for graph:
[tex](\frac{x_{1}+ x_{2} }{2} ,\frac{y_{1} +y_{2} }{2} )[/tex]
[tex](\frac{6+x}{2} ,\frac{-7\\+y}{2} )[/tex]
[tex]\frac{6+x}{2} =7[/tex]
[tex]x[/tex] is the x cordinate of B which will be
8
TO FIND Y:
[tex]\frac{-7\\+y}{2} =-5[/tex]
[tex]y=-3\\[/tex]
If (6,8), (-3, 8), and (6,-4) are the coordinates of the vertices of a triangle, what is the
perimeter of the triangle?
Answer: 36
Step-by-step explanation:
Distamce from (6, 8) to (-3, 8) is 9.
Distance from (-3, 8) to (6, -4) is [tex]\sqrt{(-3-6)^{2}+(8-(-4))^{2}}=15[/tex]
Distance from (6, 8) to (6, -4) is 12.
So P = 9 + 15 + 12 = 36.
In frank grade there are 55 students currently 40% of them are enrolled in health, how many are enrolled in health?
Answer: 22 people in health
Step-by-step explanation: If you use a calculator, the answer sums up to 22 people in health.
Granola bars cost 45 cents, gum cots 35 cents, and crackers cost 50 cents. Lauren buys two different items. She pays with a 1 dollar bill and receives 3 of the same type of coin as change what did Lauren buy, and what did she receive as change?
Answer:
A gum and a cracker
Step-by-step explanation:
She receive 3 of the same type of coin as change => the leftover change should be divisible by 3
If she buy a gum and a cracker, she would be leftover with 100 - (50+35) = 15 cents.
And that is divisible by 3, so we can conclude she bought a gum and a cracker.
What are the features of the function f(x) = =-2 log2 (x - 2) graphed below?
Functions can be represented using equations and graphs
The features of [tex]f(x) = =-2\log_2 (x - 2)[/tex] are
x-intercept of 0 and no y-interceptVertical asymptote of x = 2 and no horizontal asymptoteHow to determine the features of the graphThe equation of the graph is given as:
[tex]f(x) = =-2\log_2 (x - 2)[/tex]
The above equation is a logarithmic function with the following features derived from its graph
x-intercept of 0 and no y-interceptVertical asymptote of x = 2 and no horizontal asymptoteRead more about functions at:
https://brainly.com/question/10283950
Which has a quotient greater than 3?
A. 32 divided by 15
B. 45 divided by 22
C. 48 divided by 16
D. 57 divided by 18
Answer:
Therefore D. 57 divided by 18 has a quotient greater than 3 as it has the highest remainder with quotient of 3. All others are equal or less than 3.
Explanation:
A. 32 divided by 15 - quotient: 2 remainder: 2 → 2.133
B. 45 divided by 22 - quotient: 2 remainder: 1 → 2.045
C. 48 divided by 16 - quotient: 3 → 3
D. 57 divided by 18 - quotient: 3 remainder: 3 → 3.167
There are 4 squares and 6 circles. What is the simplest ratio of squares to circles?
Answer:
2 : 3
Step-by-step explanation:
We have 4 squares and 6 circles. We would like the ratio of squares to circles, so we divide 4 by 6:
4 / 6 ⇒ the ratio here would be 4: 6
We need to simplify this. Notice that both 4 and 6 are divisible by 2. So, we can divide both by 2:
4/2: 6/2 ⇒ 2 : 3
2 and 3 don't share any factors other than 1, so we leave the ratio like this.
The answer is thus 2 : 3.