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
notsponge [240]
3 years ago
14

Solve the system of equations by substitution. Show your work in the sketch and write your answer as an ordered pair.

Mathematics
1 answer:
Ede4ka [16]3 years ago
3 0

Let's solve your system by substitution.

−3x+y=−2;y=4x

Rewrite equations:

y=4x;−3x+y=−2

Step: Solvey=4xfor y:

y=4x

Step: Substitute4xforyin−3x+y=−2:

−3x+y=−2

−3x+4x=−2

x=−2(Simplify both sides of the equation)

Step: Substitute−2forxiny=4x:

y=4x

y=(4)(−2)

y=−8(Simplify both sides of the equation)

Answer:

x=−2 and y=−8

You might be interested in
M is the midpoint of CD. Given the coordinates of one endpoint C(10,-5) and the midpoint M(4, 0), find the coordinates of the ot
mash [69]

Answer:

D(-2, 5).

Step-by-step explanation:

We are given that M is the midpoint of CD and that C = (10, -5) and M = (4, 0).

And we want to determine the coordinates of D.

Recall that the midpoint is given by:

\displaystyle M = \left(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2}\right)

Let C(10, -5) be (<em>x</em>₁<em>, y</em>₁) and Point D be (<em>x</em>₂<em>, y</em>₂). The midpoint M is (4, 0). Hence:

\displaystyle (4, 0) = \left(\frac{10+x_2}{2} , \frac{-5+y_2}{2}\right)

This yields two equations:

\displaystyle \frac{x_2 + 10}{2} = 4\text{ and } \frac{y_2 - 5}{2} = 0

Solve for each:

\displaystyle \begin{aligned}x_2 + 10 &= 8 \\ x_2 &= -2 \end{aligned}

And:

\displaystyle \begin{aligned} y_2 -5 &= 0 \\ y_2 &= 5\end{aligned}

In conclusion, Point<em> </em>D = (-2, 5).

5 0
3 years ago
Someone help me and explain . this is confusing.
pentagon [3]

Answer:

on the image

Step-by-step explanation:

sorry for handwriting lol, hope this helps

7 0
3 years ago
Read 2 more answers
9 Questions/45 points
Finger [1]
You have a lot of questions here, try breaking them up into multiple posts and you may get more responses.

I will help with some.

<span>(x+3)=0

The solution is just -3.
-----------------------------------------------------------------
3m(m-4)=0

The two solutions are 0 and 4.
-----------------------------------------------------------------
(r-3)(r+2)=0

The two solutions are and 3 and -2.
</span>
I hope this gets you started in the right direction.


3 0
3 years ago
Find the coordinates of the missing vertex of rectangle ABCD with A(−5, 4), B(2, 4), and C(2, 0).
svlad2 [7]

Answer:

Answer:

safe speed for the larger radius track u= √2 v

Explanation:

The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.

Also given that r_1= smaller radius

r_2= larger radius curve

r_2= 2r_1..............i

let u be the speed of larger radius curve

now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=

r

1

mv

2

=

r

2

mu

2

................ii

form i and ii we can write

v^2= \frac{1}{2} u^2v

2

=

2

1

u

2

⇒u= √2 v

therefore, safe speed for the larger radius track u= √2 v

6 0
3 years ago
What do you set each term equal to in order to solve for all of the "roots" of a function? No links please :)​
Citrus2011 [14]

Answer:

Solving quadratic equations can be difficult, but luckily there are several different methods that we can use depending on what type of quadratic that we are trying to solve. The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula.

Step-by-step explanation:

can you mark me brainliest

3 0
3 years ago
Other questions:
  • 9m=6 what does m = in this equation ?
    11·2 answers
  • Please need help ASAP!!! Answer and I’ll name you brainliest.
    12·1 answer
  • Help me please i dont understand????
    8·2 answers
  • Describe what happens to the x' and y-coordinates after a point is reflected across the x- axis
    10·1 answer
  • Find the difference x/25x-125-1/x^2-5x
    9·1 answer
  • Which inequality represents this sentence?
    7·1 answer
  • Mr. Clarkston has a box of colored beads containing 3 pink, 6 purple, 3 yellow, 4 gold, and 2 silver beads. If a student reaches
    9·1 answer
  • Answer for branniest
    11·2 answers
  • : Cho tứ diện ABCD có AB, AC, AD đôi một vuông góc và AB = 6; AC = 7; AD = 4. Gọi M, N, P lần
    6·1 answer
  • Please ANSWER and explain it. please please answer it i dont know what to do
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!