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
Talja [164]
3 years ago
10

The line y =3x-5 meet x-axis at the point M.

Mathematics
1 answer:
dusya [7]3 years ago
3 0

y = 3x - 5 meets the x-axis at the x-intercept, and that happens when y = 0


\bf \stackrel{y}{0}=3x-5\implies 5=3x\implies \cfrac{5}{3}=x~\hspace{5em}\stackrel{M}{\left( \frac{5}{3},0 \right)}


3y + 2x = 2, meets the y-axis when x = 0, and that'd be the y-intercept


\bf 3y+2(\stackrel{x}{0})=2\implies 3y=2\implies y=\cfrac{2}{3}~\hspace{5em}\stackrel{N}{\left( 0,\frac{2}{3} \right)}


so let's find the equation of the line with points M and N in standard form, bearing in mind that

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient


\bf M(\stackrel{x_1}{\frac{5}{3}}~,~\stackrel{y_1}{0})\qquad N(\stackrel{x_2}{0}~,~\stackrel{y_2}{\frac{2}{3}}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{~~\frac{2}{3}-0~~}{0-\frac{5}{3}}\implies \cfrac{2}{3}\cdot -\cfrac{3}{5}\implies -\cfrac{2}{5}


\bf \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-0=-\cfrac{2}{5}\left( x-\cfrac{5}{3} \right)\implies y=-\cfrac{2}{5}x+\cfrac{2}{3} \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{15}}{15y=-6x+10}\implies \stackrel{\textit{standard form}}{6x+15y=10}\implies 6x+15y-10=0

You might be interested in
Vertex of f(x) = 1/2(x-2)^2-3
AlekseyPX
Vertex is (2,-3). H (which is 2) sign is always opposite and k stays the same
3 0
3 years ago
Dave is adding a new patio to the back of his house. The dimensions of the patio are shown below. If one bag of concrete mix wil
valentinak56 [21]

Answer:

4

Step-by-step explanation:

Multiply base times height for the area

Divide the area by 50

You cant have 3.888 bags so round up to get 4.

5 0
2 years ago
It takes Josephine 60 minutes to walk 7 1/2 blocks.At This Rate How Many Blocks Can He Walk In 4 Hours.
never [62]

Answer:

30 blocks

Step-by-step explanation:

60 minutes = 1 hour

For one hour, she will walk 7.5 blocks.

The rate is 7.5blocks per hour.

Multiply this by 4 hours, and you will get 30 blocks.

(7.5)4 = 30

5 0
3 years ago
Identify the asymptote(s) of this function: y=5/(x-4)+1
Dimas [21]
y= \frac{5}{(x-4)+1}
y= \frac{5}{x-3}
So you take the denominator and compare to zero. 
x-4+1=0
x-3=0
x=3
Then the horizontal asymptote is y = 0
6 0
3 years ago
Select steps that could be used to solve the equation 1 + 3x = -x + 4.
nata0808 [166]
Can there be more than one answer? I think it could be add x, subtract 1, divide by 4 and/or subtract 1, add x, divide by 4
4 0
3 years ago
Read 2 more answers
Other questions:
  • Elizabeth is draining the water from a public pool. The pool is being drained at a rate of 714 gallons per hour. Which graph app
    10·1 answer
  • 2 7/8 + 6 1/6 =?plzz i need help!
    14·1 answer
  • Diana had 41 stickers she put them in 7 equal groups she put as many as possible in each group she gave the leftover stickers to
    6·2 answers
  • NEED HEL ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!
    13·2 answers
  • At a candy store a bag holds up to 1 pound of candy. Each jawbreaker (x) weighs 0.25 pounds and each gumball (y) weighs 0.1 poun
    9·1 answer
  • Given fix) = 3x- 1 and g(x) = 2x-3, for which value of x does g(x) = f(2)?
    7·2 answers
  • Whats the answer for 2x+3y=-13 <br><br> I would appreciate all of the work please and thank you
    8·2 answers
  • Carlos needs 24 inches of fabric for a pillow that he is making. The fabric store has a piece of material 3/4 of a yard long tha
    13·1 answer
  • I need the answer asap please hurry i give you 5 stars
    6·2 answers
  • The measure of angle 1 is 27 degrees.<br> Complement:<br> Supplement:
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!