what is an equation of the line that passes through the point (3, -8) and has slope -2?

[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{3})~\hspace{10em} \stackrel{slope}{m}\implies 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{7}(x-\stackrel{x_1}{6}) \\\\\\ y-3=7x-42\implies y = 7x-39[/tex]

Answer:

[tex]y-3=7(x-6)[/tex]

Step-by-step explanation:

We are given that a line has a slope (m) of 7 and passes through the point (6,3).

We want to write the equation of this line.

There are three ways to do it:

As the question doesn't specify, either form should work, but let's write the equation in point-slope form as that's the easiest to do.

As we are already given both the point and the slope, we can plug them both into the equation.

Starting with the slope, substitute 7 for m.

[tex]y-y_1=7(x-x_1)[/tex]

Now, substitute 6 as [tex]x_1[/tex] and 3 as [tex]y_1[/tex].

[tex]y-3=7(x-6)[/tex]

Answer:

y = 3x + 4

x=? (m) , and 'm' is how steep the slope is , which is at 3 , located on the X-axis. The blank is 'b' which is where the point intercepts the Y-axis , which is at 4 , located on the Y-axis.

(i think this is right im not sure tho)

Answer:

3x+1

Step-by-step explanation:

3 is the slope. 3 times x is 3 because x is one. 3+1=4 4 is y

Answer:

BC ≅ EF

Step-by-step explanation:

Since the triangles are congruent then corresponding sides are congruent

ABC ≅ DEF

The corresponding sides are BC and EF

Answer:

8 short sleeve shirts

Step-by-step explanation:

Subtract the total amount of of shirts by the number of shirts with long sleeves to find your answer.

Answer:

            P = 4x  +  10

Step-by-step explanation:

perimeter of a rectangle = 2( width + length )

   P = 2 ( x - 2  +  x + 7 )

   P = 2 ( x + x  +  7 - 2 )

        P = 2 ( 2x +  5 )

            P = 4x  +  10

Answer:

The following equation has no / zero solution.

Step-by-step explanation:

The slope of both the equations is proportional which means that the lines are parallel to each other. Thus, the given equation has no solutions.

Answer:

Step-by-step explanation:

3| -2 =6

4| -5| =20

= -6+20

Simplify -

14

Thank You! I hope I could make your day just a little bit better!

Answer:

Option D

Step-by-step explanation:

The expression is a=2b-3

There's something very off about this question.

In spherical coordinates,

x² + y² + z² = ρ²

so that

f(x, y, z) = 6 - (x² + y² + z²)

transforms to

g(ρ, θ, φ) = 6 - ρ²

When transforming to spherical coordinates, we also introduce the Jacobian determinant, so that

dV = dx dy dz = ρ² sin(φ) dρ dθ dφ

Since we integrate over a sphere with radius 4, the domain of integration is the set

E = {(ρ, θ, φ) : 0 ≤ ρ ≤ 4 and 0 ≤ θ ≤ 2π and 0 ≤ φ ≤ π}

so that the integral is

[tex]\displaystyle \int_{\phi=0}^{\phi=\pi} \int_{\theta=0}^{\theta=2\pi} \int_{\rho=0}^{\rho=4} (6 - \rho^2) \rho^2 \sin(\phi) \, d\rho \, d\theta \, d\phi[/tex]

Computing the integral is simple enough.

[tex]\displaystyle = \int_{\phi=0}^{\phi=\pi} \int_{\theta=0}^{\theta=2\pi} \int_{\rho=0}^{\rho=4} (6 \rho^2 - \rho^4) \sin(\phi) \, d\rho \, d\theta \, d\phi[/tex]

[tex]\displaystyle = 2\pi \int_{\phi=0}^{\phi=\pi} \int_{\rho=0}^{\rho=4} (6 \rho^2 - \rho^4) \sin(\phi) \, d\rho \, d\phi[/tex]

[tex]\displaystyle = 2\pi \left(\int_{\phi=0}^{\phi=\pi} \sin(\phi) \, d\phi\right) \left(\int_{\rho=0}^{\rho=4} (6 \rho^2 - \rho^4) \, d\rho\right)[/tex]

[tex]\displaystyle = 2\pi \cdot 2 \cdot \left(-\frac{384}5\right) = \boxed{-\frac{1536\pi}5}[/tex]

but the mass can't be negative...

Chances are good that this question was recycled without carefully changing all the parameters. Going through the same steps as above, the mass of a spherical body with radius R and mass density given by

[tex]\delta(x, y, z) = k - (x^2 + y^2 + z^2)[/tex]

for some positive number k is

[tex]\dfrac{4\pi r^3}{15} \left(5k - 3r^2\right)[/tex]

so in order for the mass to be positive, we must have

5k - 3r² ≥ 0   ⇒   k ≥ 3r²/5

In this case, k = 6 and r = 4, but 3•4²/5 = 9.6.

[tex] {32}^{2x} = 16 ^{2x + 8} \\ = > {2}^{5(2x)} = {2}^{4(2x + 8)} \\ = > {2}^{10x} = {2}^{8x + 32} \\ = > 10x = 8x + 32 \\ = > 10x - 8x = 32 \\ = > 2x = 32 \\ = > x = \frac{32}{2} \\ = > x = 16[/tex]

Answer:

x = 16

Hope you could get an idea from here.

Doubt clarification - use comment section.

By finding the probability that the unit digit is even, we will see that the probability that the 5-digit number will be even is P = 4/9.

So we have a 5-digit number, let's say that it is:

abcde

Now, we have 5 "slots" where we can put numbers from 1 to 9 (without replacement).

We want to find the probability that the number will be even, so we only care for the last digit, e (it must be even).

Let's assume that the first digit at which we assign its value is this, e, the last one.

For this digit we have 9 options, {1, 2, 3, 4, 5, 6, 7, 8, 9}

4 of these options are even numbers.

So there are 4 out of 9 cases where the last digit is even, then the probability that the 5-digit number will be even is just:

P = 4/9

Now the other four digits can be anything (even or odd), so we only care for the probability above.

If you want to learn more about probability, you can read:

https://brainly.com/question/23044118

Answer:13

Step-by-step explanation:

37-3.5=33.5

33.5/2.5=13.4

since it ask for the whole number, it will be 13

Answer:

w [tex]\leq[/tex] 50

Step-by-step explanation:

Answer:

ang hirap naman plss answee

Answer:

None of the suggested answers

Answer:

The change in temperature is -13°F.

Step-by-step explanation:

The change in temperature is,

→ -1 + x = -14

→ x = -14 + 1

→ [ x = -13 ]

Therefore, -13°F is the change.

[tex] \sf \: mean = \frac{Sum \: \: of \: \: Observation} {Total \: \: number \: \: of \: \: Observations} \\ \sf = \frac{2 + 1 + 2 + 4 + 5 + 4}{6} \\ = \sf \frac{18}{6} = 3[/tex]

Answer:

3

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

m>15

Step-by-step explanation:

Divide both sides by 2

Hello there! :-)

This is a one-step inequality, which means we can solve it in one step.

The goal is to find m.

To isolate m, we divide both sides by 2:

m>15

Remember to divide both sides by 2.

Therefore, m>15 (this means m is greater than 15)

Hope it helps. Use the comment section to clarify your doubts.

Answered by

~A felicitous teen who helps others :-)

Good luck with your studies. :)

Step-by-step explanation:

[tex]x^2-81=x^2-9^2=(x-9)(x+9)\\\\\text{Used}\\\\a^2-b^2=(a-b)(a+b)[/tex]

The relationship between the sides of the polygon and the triangle follows an arithmetic sequence

The expression that represents the number of triangles is (c) n - 2

From the diagrams, we have:

Sides           Triangles

  5                    3

  6                    4

  8                    6

The above can be represented as functions as follows:

[tex]f(5) = 3[/tex]

[tex]f(6) = 4[/tex]

[tex]f(8) = 6[/tex]

Express 6 as 8 - 2

[tex]f(8) = 8 - 2[/tex]

Express 8 as n

[tex]f(n) = n - 2[/tex]

So, the expression that represents the number of triangles is (c) n - 2

Read more about sequence and patterns at:

https://brainly.com/question/24050043

Its 12 for answer

Step-by-step explanation:

2×6=12

= 3x+y=-2

= Linear equations with two variables have multiple infinite solutions.

= Assuming x=0

then y=-2

= Assuming x=1

then y=-2-3

= y=-5

= Assuming x=2

then y=-2-6

= y=-8

Writing them as coordinate points -

(0,-2),(1,-5),(2,-8)...and so on.

__________________________.

= y=2x+3

Assuming x=0

then y=3

Assuming x=1

then y=2+3

= y=5

Assuming x=2

then y=4+3

= y=7

Writing them as coordinate points -

(0,3),(1,5),(2,7)...and so on.

Answer:

Point Form:

( − 1 , 1 )

Equation Form:

x = − 1 , y = 1

Step-by-step explanation: there you go

Answer:

Step-by-step explanation:

A clock is a circle, and a circle always contains 360 degrees. Since there are 60 minutes on a clock, each minute mark is 6 degrees.

so

45 * 6 =

2700

Answer:

D

Step-by-step explanation:

Cosine is adjacent / hypotenuse, so 12/13

Answer:

its 2 ounces. if you look it up it would tell you

Answer:

-22, -6, 4, 9, 19

Step-by-step explanation:

hope this helps

Answer:

i need to know this one fast i cant get past this mastery test

Step-by-step explanation:

The inverse of a function is the opposite of the function

From the graph, we have the following ordered pairs

When the (x,y) coordinates are rewritten as (y,x), we have the following ordered pairs

This means that the inverse of the function passes through the above points

See attachment for the graph of the inverse function

Read more about inverse function at:

https://brainly.com/question/9289171

Answer:

Irrational number because it cannot be written in fraction form a/b where b is not supposed to be 0

Answer:

12 multiple choice and 8 True/False

Step-by-step explanation:

To do this we set up a system of equations. Let x represent the True/Fale questions and y represent the multiple-choice questions. Here is a system we can use:

x + y = 20

2x + 7y = 100

We can solve this by using elimination. To do this we multiply one equation by a number, and add them together. If we multiply the first equation by -2, the "x"s will, when added together, cancel out so we can solve for y.

-2(x + y = 20)

-2x - 2y = -40

Now add them together

5y = 60

Solve for y.

y = 12

This means there are 12 multiple choice questions. 20 - 12 is 8 True/False questions.

Hope this helps and have a great day! :D

Answer:

8 True/False and 12 Multiple Choice

Step-by-step explanation:

x+y=20  ...1

2x+7y=100   ...2

Now you can multiply 2 on 1

2x+2y=40

2x+7y=100

Subtract:

-5y=-60

Divide -5 on both sides:

y=12

Substitute y with 12

x+12=20

Subtract 12 on both sides:

x=8

So there are 8 True/False and 12 Multiple Choice

Hope this Helps!

Answer helped by: azailiaskoglund