Ask question

Ask question

All categories

3 years ago

9

What is the slope of the line parallel to y = 3x + 7?

1 answer:

weqwewe [10]3 years ago

5 0

What is the slope of the line parallel to y = 3x + 7?

the slope of the line parallel is the same

m= 3

Find the slope of the line 2x + 5y = 10

solve for y

subtract 2x from each side

5y = -2x +10

divide by 5

y =-2/5 x+2

slope is -2/5

Find the vertex of the following absolute value equation.

y = -1/2|5x+2|-3

the x coordinate of the vertex is

5x+2 =0

5x=-2

x= -2/5

the y coordinate of the vertex is -3

(-2/5, -3)

You might be interested in

Write an equation: the quotient of r and 258 is q

dedylja [7]

258 divided by r = q

4 0

3 years ago

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

Which coordinates will best represent point K′?

mina [271]

Answer:

C. (6,2)

Step-by-step explanation:

(-2,-3) becomes (-2+8, -3+5), (6,2)

6 0

2 years ago

The population of a city has decreased by 38% since it was last measured. If the current population is 27,900, what what the pre

Varvara68 [4.7K]

<u>Answer: </u>

The population of a city has decreased by 38% since it was last measured. If the current population is 27,900 .Previous population of city was 45000.

<u> Solution: </u>

Given that current population of city is 27900.

Also, population of a city has decreased by 38% since it was last measured.

Let assume that population of city when it was last measured = x

Decreased of 38% means x-38% of x . we can write this as,

$=x-\frac{38}{100} \times x$

$=\frac{100 x-38 x}{100}$

$=\frac{62 x}{100}=\frac{31 x}{50}$

So current population is $\frac{31 x}{50}$

Equating above expression to the given value of current population, we get

$\frac{31 x}{50}=27900$

$x=\frac{27900 \times 50}{31}$

x=45000

Hence previous population of city was 45000.

7 0

3 years ago

The school will not announce a snow day unless there is 10 inches of snow on the ground. If it had already snowed 1.5 inches how

Dennis_Churaev [7]

21 more inches. Hey, you're welcome.

7 0

3 years ago