1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marrrta [24]
3 years ago
12

Find the equation of the line that contains the point (3,9) and is parallel to the line y=4x+1. Write the line in slope-intercep

t form. Graph the lines
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
5 0
Y = 4x + 1....slope here is 4. A parallel line will have the same slope

y = mx + b
slope(m) = 4
(3,9)...x = 3 and y = 9
now we sub and find b, the y int
9 = 4(3) + b
9 = 12 + b
9 - 12 = b
-3 = b

so ur parallel equation is : y = 4x - 3
You might be interested in
What is the surface area of this design?<br> A.150in2<br> B.197in2<br> C.210in2<br> D.127in2
ANEK [815]

Answer:

197 in ^2 (answer B of the list)

Step-by-step explanation:

Notice that this figure has a total of 6 faces, four of which are rectangles (whose area is calculated as "base times height") and two trapezoids (whose area is (B+b)H/2 ).

The total surface area is therefore the addition of these six areas:

Rectangles:

5 in x 5 in = 25 in^2

5 in x 5 in = 25 in^2

5 in x 6.4 in = 32 in^2

9 in x 5 in = 45 in^2

Trapezoids:

Two of equal dimensions: B = 9 in, b = 5 in, H = 5 in

2 * (9 in + 5 in) 5 in /2 = 70 in^2

Which gives a total of  (25 + 25 + 32+45 + 70) in^2 = 197 in^2

This agrees with answer B of he provided list.

6 0
3 years ago
Read 2 more answers
Mary has 6 shells. Her friend Tina has 3 times more than Mary. How many shells do the girls have together?
Mamont248 [21]

18 shells because since Mary has 6 and Tina has 3 shells all you have to do is multiply 6 and 3 to get 18

8 0
2 years ago
Read 2 more answers
Let ρ = x3 + xe−x for x ∈ (0, 1), compute the center of mass.
hram777 [196]

The center of mass is mathematically given as

\bar{x}=\left(\frac{44 e-100}{25 e-40}\right)\end{aligned}

<h3>What is the center of mass.?</h3>

Determine the center of mass in one dimension:

Represent the masses at the respective distances.

\begin{|c|c|} Masses \ & \ \ \ \ \ \ \ \ \ \ \ \ \ \ Located at \\\rho=x^{3}+x \cdot e^{-x} & \ \  \ \  x \in(0,1)$ \\\end

We calculate the total mass of the system.

\begin{aligned}m &=\int_{0}^{1} \rho \cdot d x \\& m =\int_{0}^{1}\left(x^{3}+x \cdot e^{-x}\right) \cdot d x \\&m =\left|\frac{x^{4}}{4}-(x+1) e^{-x}\right|_{0}^{1} \\&m =\left(\frac{5}{4}-\frac{2}{e}\right)\end{aligned}

Step 03: Calculate the moment of the system.

\begin{aligned}M &=\int_{0}^{1}(\rho \cdot x) \cdot d x \\& M=\int_{0}^{1}\left(x^{4}+x^{2} \cdot e^{-x}\right) \cdot d x \\&M =\left|\frac{x^{5}}{5}-\left(x^{2}-2 x+2\right) \cdot e^{-x}\right|_{0}^{1} \\&M=\left(\frac{11}{5}-\frac{5}{e}\right)\end{aligned}

we calculate the center of mass.

\begin{aligned}\bar{x} &=\left(\frac{M}{m}\right) \\& \bar{x}=\left\{\left(\frac{\left.11-\frac{5}{5}\right)}{\left(\frac{5}{4}-\frac{2}{e}\right)}\right\}\right.\\& \bar{x}=\left(\frac{11 e-25}{5 e}\right) \cdot\left(\frac{4 e}{5 e-8}\right) \\&\bar{x}=\left(\frac{44 e-100}{25 e-40}\right)\end{aligned}

Read more about the center of mass.

brainly.com/question/27549055

#SPJ1

8 0
2 years ago
A lampshade has a height of 12cm and upper and lower diameters of 10cm and 20cm A)what area of material is required to cover tha
netineya [11]

Answer:

(a)\ Area = 195\pi

(b)\ Volume = 700\pi

Step-by-step explanation:

Given

h = 12

d_1 = 10 --- lower diameter

d_2 = 20 --- upper diameter

Solving (a): The curved surface area

This is calculated as:

Area = \pi l(r_1 + r_2)

Where

r_1 = 0.5 * d_1 = 0.5 * 10 = 5 --- lower radius

r_2 = 0.5 * d_2 = 0.5 * 20 = 10 --- upper radius

And

l = \sqrt{h^2 + (r_1 - r_2)^2 ---- l represents the slant height of the frustrum

l = \sqrt{12^2 + (5 - 10)^2

l = \sqrt{12^2 + (-5)^2

l = \sqrt{144 + 25

l = \sqrt{169

l = 13

So, we have:

Area = \pi l(r_1 + r_2)

Area = \pi * 13(5 + 10)

Area = \pi * 13(15)

Area = 195\pi

Solving (b): The volume

This is calculated as:

Volume = \frac{1}{3}\pi * h * (r_1^2 + r_2^2 + (r_1 * r_2))

This gives:

Volume = \frac{1}{3}\pi * 12 * (5^2 + 10^2 + (5 * 10))

Volume = \frac{1}{3}\pi * 12 * (25 + 100 + (50))

Volume = \frac{1}{3}\pi * 12 * (175)

Volume = \pi *4 * 175

Volume = 700\pi

6 0
2 years ago
Is it a funcion or not?​
Kitty [74]
Give more information and I’ll help
5 0
3 years ago
Other questions:
  • Explain what you can tell just by comparing the symbols in the picture graph
    7·1 answer
  • Solve the following inequality. 2(P + 1) &gt; 7 + P
    5·1 answer
  • Dr Wellbee advised his patients to drink 8 eight-ounce glasses of water everyday for every 50 pounds of weight. Kelby drank 168
    10·1 answer
  • Please help!!!! Im so bad at math
    5·1 answer
  • Simplify the expression.
    8·1 answer
  • What is 1.5555 as a simplified fraction.
    5·2 answers
  • Please help me, what is the slope.​
    11·1 answer
  • The Toy Company sells two types of kids' basketball hoops, Jordan size and Shaq size.
    12·1 answer
  • A person lost in an office building travels up 3 floors in an
    11·1 answer
  • Twenty-seven minus 3/2 of a number (x) is not more than 36. What is the number?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!