Answer:
y= -(1/6)x -2
Step-by-step explanation:
We know:
y= mx +b is the general equation of the line
Was given:
y= 6x +3, has the slope m=6
Find the equation of the line
y= -(1/6)x + b, perpendicular lines have their slope negative reciprocal m=-1/6
Find the y-intercept that is b
for point (x=12, y= -4) the equation of our line becomes
-4 = -(1/6)(12) + b, multiply a fraction and a number (a/b)*c = ab/c
-4 = -12/6 +b, simplify the fraction
-4 = -2 + b , add 2 to both sides
-4+2 = -2+2 +b , solve for b
-2 = b
The equation of the line that passes through the point (12,-4) and is perpendicular to the line with the equation y=6x +3 is :
y= -(1/6)x -2
How many 2cm×2cm cubes can be packed in a box 1m long,20cm wide and 4cm deep.
Answer:
1000
Step-by-step explanation:
I guess, something went wrong with the text up there.
I assume it should say 2cm×2cm×2cm cubes. right ? because a cube has 3 dimensions, not just 2.
otherwise an infinitely large number of "just squares" would fit into the box ...
so, the box is
1m×20cm×4cm = 100cm×20cm×4cm = 8000 cm³
a single cube would be
2cm×2cm×2cm = 8 cm³
therefore,
8000 / 8 = 1000 cubes can be packed into that box, since the dimensions of the box in relation to the dimensions of the cubes do not force to have some empty left over space. the box can be packed tightly.
4) Daily tickets to Six Flags cost $50 each.
Variable #1:
What is the variable
Answer:
Amount of tickets
Step-by-step explanation:
The variable is the amount of tickets purchased because that is the only thing that changes, according to the statement that says that daily tickets are $50.
square with side 4 is dilated by 7
Answer:
196 in/cm/m²
Step-by-step explanation:
Given that the scale factor is a : b , then the area factor is a² : b² Here the scale factor is 1 : 7 , thus area scale factor is 1² : 7² = 1 : 49 That is the area of the dilated square is 49 times the original square. area of dilated square = 4 × 49 = 196 in/cm/m²
Given the formula A = 5h (B + b); solve for B.
2
Answer:
A=5h(B+b)
A/5h=B+b
A/5h - b= B
A prism and two nets are shown below: Prism 1 E 3 Net A Net Part A: Which is the correct net for the prism? Explain your answer. (2 points) Part B: Write the measurements of Sides AB. BC, and CD of the correct net. (4 points) Part C: What is the surface area of the prism? Show your work. (4 points)
Answer:
A) Net A (see explanation)
B) AB = 3 in. | BC = 5 in. | CD = 7.2 in.
C) SA = 98.4 in²
Step-by-step explanation:
Part A
Net A is the correct net for the prism. If you look at the way the folds are, the flaps on the top and bottom would fold up to make the side of the prism. On net B, the flaps wouldn’t fit the shape correctly.
Part B
AB = This is the height of the prism.
= 3 in.
BC = This is the slant on the front of the prism.
= 5 in.
CD = This is the length of the prism.
= 7.2 in.
Part C
* First we’ll solve for the two triangles. They are the same shape and size, so we just need to solve one then duplicate it.
One triangle:
A = 1/2bh
= 1/2 (4) (3)
= 6 in²
Back rectangle:
A = bh
= 7.2 (3)
= 21.6 in²
Front rectangle:
A = bh
= 7.2 (5)
= 36 in²
Bottom rectangle:
A = bh
= 7.2 (4)
= 28.8 in²
Total:
A = 6 + 6 + 21.6 + 36 + 28.8
= 98.4 in²
A circle's circumference is approximately 76 cm. Estimate the radius, diameter, and area of the circle by using 3 for pi.
Step-by-step explanation:
Circumference = 76cm
Circumference = 2(π)(r)
r -> radius
=> 2(π)(r) = 76
=> (π)(r) = 76/2
=> (π)(r) = 38
=> 3r = 38
=> r = 38/3
=> r = 13cm (Approx.)
Diameter = 2r = 2(13) = 26cm
Area = π(r)^2
= 3(13)^2
= 3(169)
= 507 cm^2
Answer
d=25.34cm
a=160.53cm
cf=12.67cm
Step-by-step explanation:
circumference=cf
diameter=d
radius=r
area=a
d=2r
=2×12.67cm
=25.34cm
cf=2πr
76cm=2(3)r
76cm=3r
2
38cm=r
3
r=12.66^cm
r=12.67cm
find the area
a=πr^2
a=12.67×12.67πcm
a=160.53πcm(it is near to this)
There are 768 beds in a hospital.
Each floor has 64 beds.
How many floors are there?
Answer:
12 floors
Step-by-step explanation:
768 ÷ 64 = 12.
Answer:
12
Step-by-step explanation:
768 divided by 64 =12
An Image point has coordinates B'7,-4). Find the coordinates of its pre-Image If the translation used was (x+4, y+5).
О ВІЗ, Т
OB(3-9)
OB/11-9)
B110
NET QUESTION
ASK FOR HELP
TURNITIN
Answer:
The ans is (3,-9) which means it's the second option
if a pendrive is bought for 1200 and sold at 25% profit find the profit amount
Answer: Profit = $300
Step-by-step explanation:
Given information
Original Price = $1200
Profit rate = 25%
Given expression
Profit amount = Profit rate × Original price
Substitute values into the expression
Profit amount = 25% × 1200
Profit amount = $300
Hope this helps!! :)
Please let me know if you have any questions
Suppose that a rectangular yard has a width of 2x and a length of 5x+2. Which of the following represents the perimeter P as a function of x?
Answer:
f(x)=15x+5
thanks
Step-by-step explanation:
p=2(length +width)
p=f(x)=2(5x+2+2x)
=f(x)=10x+4+5x
collecting like terms,we get;
f(x)=15x+5
The expression that represents the perimeter P as a function of x is 14x + 14
The perimeter can simply be defined as the part or portion surrounding a shape or boundary. The formula for calculating the perimeter of the rectangular yard is expressed as:
The perimeter of the rectangular yard = 2(L+W) where:
L is the length
W is the width
Given the following parameters
Length = 5x + 2
Width = 2x
Substitute the given parameters into the formula above:
Perimeter = 2(5x+2+2x)
Perimeter = 2(7x + 2)
Perimeter = 14x + 4
Hence the expression that represents the perimeter P as a function of x is 14x + 14
Learn more: https://brainly.com/question/10452031
Find the length of x
Answer:
x = 8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
The triangle is isosceles with legs congruent, both x
Using Pythagoras identity in the right triangle
x² + x² = 16²
2x² = 256 ( divide both sides by 2 )
x² = 128 ( take the square root of both sides )
x = [tex]\sqrt{128}[/tex] = [tex]\sqrt{64(2)}[/tex] = [tex]\sqrt{64}[/tex] × [tex]\sqrt{2}[/tex] = 8[tex]\sqrt{2}[/tex]
and is in group 38 Rock she can put them into groups of 10 rocks or as single rocks what are the different ways Ann can group the rocks?
and is grouping 38 rocks she can put them into groups of 10 rocks or has single rocks what are the different ways and can group The Rocks
Answer:
She can put the rocks into groups of 19.
That would give her 2 groups.
Step-by-step explanation:
Bob wants to replace a glass window in his restaurant. The window is in the shape of a square. Its side lengths are 6 feet. Suppose glass costs $7 for each square foot. How much will the glass cost to replace the window?
ANSWER: The glass window will cost $252.00 for window replacement.
EXPLANATION:
The area of a square is given by the formula:
s^2
where s is the side length.
If we were to replace the glass window, and it will cost $7.00 per square foot, the total price will be:
FIND AREA OF THE GLASS WINDOW:
6^2 = 36 square feet
$7 per square foot so:
36 x 7 = 252
Therefore it will cost $252.00 to replace the glass window.
7. Find HCF of: x'y and ly*
8. Find LCM of 4x - 20 and 6x - 30
9. Factorize Factorize: -m-+ 1 + me
10. Factorize: 4x100
11. Simplify: V18+ va 12. If a = 2, b = 3 and c= 4, fmd the value of a b c 13. Subtract: 125- 45 a--200+ 14. Simplify: ***
PLEASE HELP ME
Answer:
7 ans-HCF is y
Step-by-step explanation:
soln
first expression=X and y
second expression=l and y
so HCF means common so the Ans is y
The admission fee at amusement park is $1.50 for children and $4 for adults on a certain day 355 ppl entered the park and the admission fees collected a total 970,000 dollars how many children and how many adults were admitted?
Answer:
180 children and 175 adults
Step-by-step explanation:
Let it be that the amount of children who visited the park that day was x, the rest was adults. It means the quantity of adults equals 355-x.
The payment from the children is 1.5*x (because each children payed 1.5 dollars, the amount of money from children is the fee from one child multiplied by the quantity of children). The money earned by the park's owners from adults are equal to the fee from one adult multiplied by the quantity 4* (355-x)= 1420 -4x
If we add the money from chilren and adults we get the summary profit of park (it is equal to 970 dollars)
1.5x+ 1420-4x= 970
1420-2.5x= 970
x=180- children
355-180=175adults
For the function F defined by F(x) = x2 – 2x + 4, find F(| — 4|).
F(x)=x^2-2x+4
[tex]\\ \sf\longmapsto F(|-4|)[/tex]
[tex]\\ \sf\longmapsto F(4)[/tex]
[tex]\\ \sf\longmapsto 4^2-2(4)+4[/tex]
[tex]\\ \sf\longmapsto 16-8+4[/tex]
[tex]\\ \sf\longmapsto 8+4[/tex]
[tex]\\ \sf\longmapsto 12[/tex]
Which equation is represented by the graph?
Answer:
I don't knowledge bro sorry
6x — Зу = 5
y - 2x = 8
How many solutions does the system have?
9514 1404 393
Answer:
none
Step-by-step explanation:
Multiplying the second equation by -3 gives ...
6x -3y = -24
Values of x and y that satisfy this equation cannot also satisfy the first equation ...
6x -3y = 5
There are no solutions to this system of equations.
__
The equations describe parallel lines. There is no point of intersection.
Write the complies number z=3-3i in trigonometric form
Answer:
3*sqrt(2) and 3pi/4
Step-by-step explanation:
tan(theta)=y/x and r^2=y^+x^2.
tan(theta)=-3/3=-1, theta=3pi/4
r=sqrt(3^2+3^2)=3*sqrt(2)
Translate to an equation, then solve
Thirteen less than nine times a number is equal to 11 more than seven times the number.
Answer:
n=12
Step-by-step explanation:
13 less than 9 times a number: 13 less than 9n, 9n-13
11 more than 7 times a number: 11 more than 7n, 7n+11
9n-13=7n+11
2n=24
n=12
Describe what is contained in a credit report
Answer:
Your credit report contains personal information, credit account history, credit inquiries and public records. This information is reported by your lenders and creditors to the credit bureaus. Much of it is used to calculate your FICO® Scores to inform future lenders about your creditworthiness.
What is the distance between (2,6) and (-2,5)? Round your answer to the nearest tenth.
Answer: Distance = √17
Concept:
Here, we need to know the concept of the distance formula.
The distance formula is the formula, which is used to find the distance between any two points.
Distance Formula = [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
If you are still confused, please refer to the attachment below for a clear version of the formula.
Solve:
Given information
(x₁, y₁) = (-2, 5)
(x₂, y₂) = (2, 6)
Given formula
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute values into the formula
[tex]Distance=\sqrt{(2+2)^2+(6-5)^2}[/tex]
Simplify value in the parentheses
[tex]Distance=\sqrt{(4)^2+(1)^2}[/tex]
Simplify exponents
[tex]Distance=\sqrt{16+1}[/tex]
Simplify by addition in the square root
[tex]\boxed{Distance=\sqrt{17}}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Plz help I need this last question
Step-by-step explanation:
[tex]v = \frac{\pi r {}^{2}h }{3} [/tex]
[tex]3v = \pi {r}^{2} h[/tex]
[tex] \frac{3v}{\pi h} = {r}^{2} [/tex]
[tex] \sqrt{ \frac{3v}{\pi h} } = r[/tex]
Look at picture pleasee
Answer:
Point A.
.................
Answer:
It is the Picture B.
Step-by-step explanation:
Find the simple interest. The rate is an annual rate unless otherwise noted. Assume 365 days in a year and 30 days per month Round to the nearest cent $600 at 3% for 1 year
9514 1404 393
Answer:
$18
Step-by-step explanation:
The interest is computed using the formula ...
I = Prt
where P is the principal, r is the annual rate, and t is the number of years. The interest is ...
I = $600×0.03×1 = $18
Identify the vertex of the function f(x) = |x-^1/2|-2
the negative will shift the graph right, so x = 1/2
the negative 2 will shift the graph down, so y = -2
Thus, the vertex is (1/2, -2)
10. Write (2x + 1)(x - 3)(x - 2) in standard form.
Answer:
[tex]2x^3-9x^2+7x+6[/tex]
Step-by-step explanation:
The standard form of a polynomial is a method of writing a polynomial such that the terms are organized by degrees. In essence, the first term, or the left-most term has the highest degree or largest exponent. The right-most term or last term has the lowest degree or smallest exponent. One is given an expression in factored form. Distribute, multiply every term by another in the parenthesis, then simplify. Repeat this process until there are no more factored terms. Finally, rewrite the expression in standard form.
[tex](2x+1)(x-3)(x-2)[/tex]
Distribute,
[tex](2x+1)(x-3)(x-2)[/tex]
[tex]((2x)(x)+(-3)(2x)+(1)(x)+(1)(-3))(x-2)[/tex]
Simplify,
[tex]((2x)(x)+(-3)(2x)+(1)(x)+(1)(-3))(x-2)[/tex]
[tex](2x^2-6x+x-3)(x-2)[/tex]
[tex](2x^2-5x-3)(x-2)[/tex]
Distribute,
[tex](2x^2-5x-3)(x-2)[/tex]
[tex](2x^2)(x)+(-5x)(x)+(-3)(x)+(-2)(2x^2)+(-2)(-5x)+(-3)(-2)[/tex]
Simplify,
[tex](2x^2)(x)+(-5x)(x)+(-3)(x)+(-2)(2x^2)+(-2)(-5x)+(-3)(-2)[/tex]
[tex]2x^3-5x^2-3x-4x^2+10x+6[/tex]
[tex]2x^3-9x^2+7x+6[/tex]
This polynomial is already in standard form, thus there is no need to reorganize it. The leading term or the left-most term has the highest degree, three, the succeeding terms are in respective order of decreasing exponents.
Please help me solve this question ?
Answer:
Hi,
If you don't know how to derivate, i can show you using
lim (f(x+h)-f(x))/h if h ->0
Step-by-step explanation:
[tex]f(x)=2x^2+3x-2\\\\f'(x)=4x+3\\\\f'(1)=4*1+3=7\\\\f'(3)=4*3+3=15\\\\f'(5)=4*5+3=23\\[/tex]
Step-by-step explanation:
18
find the area of the triangle and round to the nearest tenth
Answer: 73.5mi²
Step-by-step explanation:
Area of triangle = 1/2×b×h
= 1/2×14×10.5
= 7×10.5
=73.5mi²
please click thanks and mark brainliest if you like :)
48 students is 80% of how many students?
Answer:
60
Step-by-step explanation:
let X be the total number of students.
48÷x *100 = 80
4800= 80x
X = 60 students
