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
Tems11 [23]
3 years ago
6

How do you find the equation for the line that is parallel to the line y=2/3x-7 and passes through the point (3,-1)

Mathematics
1 answer:
Debora [2.8K]3 years ago
3 0

parallel lines have the same exact slope hmmm what's the slope of y = 2/3x-7 anyway? well, low and behold, is already in slope-intercept form, therefore

\bf \stackrel{\textit{slope-intercept form}}{y=\stackrel{slope}{\cfrac{2}{3}}x-7}.


so we're really looking for the equation of a line whose slope is 2/3, and runs through 3, -1.


\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{-1})~\hspace{7em} slope =  m\implies \cfrac{2}{3} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-1)=\cfrac{2}{3}(x-3) \\\\\\ y+1=\cfrac{2}{3}x-2\implies y=\cfrac{2}{3}x-3

You might be interested in
Which expression is equivalent to the given expression after using the distributive property?
Nonamiya [84]

Answer:

Step-by-step explanation:

4*(x + 5) + 8x = 4*x + 4*5 + 8x

                       = 4x + 20 + 8x

                        = 4x + 8x + 20

                       = 12x + 20

8 0
3 years ago
Read 2 more answers
What is the greatest common factor of 10x and 22x“?
BartSMP [9]

Answer:

2x

Step-by-step explanation:

x and 2 are common to both 10x and 22x, so 10x + 22x = 2x(5 + 11)

The GCF is 2x.

4 0
3 years ago
There are 10 squares and 8 circles. What is the simplest ratio of circles to total<br> shapes?
natita [175]

Answer:

Step-by-step explanation:

can say there are 3 square to 4 circles or the ratio of squares to circles is 3:4 ... This means that in our ratio of 6:9 we can divide both numbers by 3 and the ratio ... Initially the ranger catches and tags 50 out of the whole population of deer. ... 10. 30 x = 150. 8. In a class the ratio of boys to girls is 3:5. If there are 32 kids in the ...

3 0
3 years ago
Find the surface area of x^2+y^2+z^2=9 that lies above the cone z= sqrt(x^@+y^2)
Mashcka [7]
The cone equation gives

z=\sqrt{x^2+y^2}\implies z^2=x^2+y^2

which means that the intersection of the cone and sphere occurs at

x^2+y^2+(x^2+y^2)=9\implies x^2+y^2=\dfrac92

i.e. along the vertical cylinder of radius \dfrac3{\sqrt2} when z=\dfrac3{\sqrt2}.

We can parameterize the spherical cap in spherical coordinates by

\mathbf r(\theta,\varphi)=\langle3\cos\theta\sin\varphi,3\sin\theta\sin\varphi,3\cos\varphi\right\rangle

where 0\le\theta\le2\pi and 0\le\varphi\le\dfrac\pi4, which follows from the fact that the radius of the sphere is 3 and the height at which the sphere and cone intersect is \dfrac3{\sqrt2}. So the angle between the vertical line through the origin and any line through the origin normal to the sphere along the cone's surface is

\varphi=\cos^{-1}\left(\dfrac{\frac3{\sqrt2}}3\right)=\cos^{-1}\left(\dfrac1{\sqrt2}\right)=\dfrac\pi4

Now the surface area of the cap is given by the surface integral,

\displaystyle\iint_{\text{cap}}\mathrm dS=\int_{\theta=0}^{\theta=2\pi}\int_{\varphi=0}^{\varphi=\pi/4}\|\mathbf r_u\times\mathbf r_v\|\,\mathrm dv\,\mathrm du
=\displaystyle\int_{u=0}^{u=2\pi}\int_{\varphi=0}^{\varphi=\pi/4}9\sin v\,\mathrm dv\,\mathrm du
=-18\pi\cos v\bigg|_{v=0}^{v=\pi/4}
=18\pi\left(1-\dfrac1{\sqrt2}\right)
=9(2-\sqrt2)\pi
3 0
3 years ago
5×(4+3)=5×4+5×3 which number of property is shown above? A.associative property B.communative property C.distributive property D
juin [17]
The answer is C, the first number in the equation is going to be multiplied separately by the ones inside the parentheses, which is that number distributing.
3 0
3 years ago
Other questions:
  • 3) Both Sabrina and Rex are saving money for a big purchase. Sabrina currently
    6·1 answer
  • alice can drive 40 miles on a gallon of gas. gas cost $5 per gallon including taxes. how much will it cost alice for gas to driv
    13·2 answers
  • As you're heading out for a rousing evening of playing Dungeons and Dragons, you grab your pouch of dice. Unfortunately, the dra
    9·1 answer
  • Use a model to divide. 1/2÷3​
    9·1 answer
  • Can someone help me. My answers are wrong btw
    14·1 answer
  • According to a certain government agency for a large​ country, the proportion of fatal traffic accidents in the country in which
    9·1 answer
  • Which of the following are side lengths of a right triangle?
    15·1 answer
  • What is the difference between 15.0 and 20.0​
    9·1 answer
  • A computer store bought a program at a cost of $20 and sold it at a selling price of $22 find the percent markup
    5·1 answer
  • 18m+42n in distributive property
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!