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
nirvana33 [79]
2 years ago
9

6. How.many solutions does this system have? y = 4x + 5 y = - 4x + 5

Mathematics
1 answer:
Volgvan2 years ago
6 0

Answer:

  • Solution (0,5)

Explanation:

Since the y-intercepts are the same and their slopes are different, they have a solution because if a slope is positive, the line would start from the origin and continuously increase and if a slope is negative, the line would start from the top and continuously decrease. A solution is an intersection between two lines. Please look at my graph for proof. The solution is (0,5).

You might be interested in
This net can be folded to make a square pyramid. What is the surface area of the pyramid?
o-na [289]

Answer:

Step-by-step explanation:

I need help.to

7 0
3 years ago
Find the directional derivative of f(x,y,z)=z3−x2yf(x,y,z)=z3−x2y at the point (−5,5,2)(−5,5,2) in the direction of the vector v
olga_2 [115]

We are given

f=z^3 -x^2y

Firstly, we can find gradient

so, we will find partial derivatives

f_x=0 -2xy

f_x=-2xy

f_y=0 -x^2

f_y=-x^2

f_z=3z^2

now, we can plug point (-5,5,2)

f_x=-2*-5*5=50

f_y=-(-5)^2=-25

f_z=3(2)^2=12

so, gradient will be

gradf=(50,-25,12)

now, we are given that

it is in direction of v=⟨−3,2,−4⟩

so, we will find it's unit vector

|v|=\sqrt{(-3)^2+(2)^2+(-4)^2}

|v|=\sqrt{29}

now, we can find unit vector

v'=(\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })

now, we can find dot product to find direction of the vector

dir=(gradf) \cdot (v')

now, we can plug values

dir=(50,-25,12) \cdot (\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })

dir=(-\frac{150}{\sqrt{29} } - \frac{50}{\sqrt{29} } - \frac{48}{\sqrt{29} })

dir=-\frac{248\sqrt{29}}{29}.............Answer



7 0
3 years ago
Read 2 more answers
What is w for -3w = -7(w+1)
Alchen [17]
-3w= -7w-7 =
-3w+7w = -7w+7w - 7 =
4w= -7
4w/4 = -7/4 =
w = -7/4

3 0
3 years ago
The fifth graders were given sandwiches for lunch during your field trip Nathan ate 5 out of 6 leroy ate 7 out of 8 of his sandw
Scorpion4ik [409]

Answer:

Step-by-step explanation:

The fifth graders were given sandwiches for lunch during their field trip. Nathan ate 5/6 of his sandwich, Leroy ate 7/8 of his sandwich, and Sofia ate 5/8 of her sandwich. Who ate the greatest amount of their sandwich? ... Nathan ate 20/24, Leroy ate 21/24, and Sofia ate 15/24 meaning Leroy ate the most.

5 0
3 years ago
Read 2 more answers
Find the measure of LM
Karo-lina-s [1.5K]
It’s LM becuase look at the photo Lm means
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is an asymptote? ...?
    6·2 answers
  • Plz help on this one
    10·2 answers
  • What is the solution to this system of equations?
    5·1 answer
  • If 16 of 200 apples were bad, what percent is that?
    8·2 answers
  • What is 2 to the second power times 2 to the third power
    12·2 answers
  • Emily measures the temperature of a bowl of water to be 9°C. Later she tells her friend that the water has become hot. What is t
    15·1 answer
  • What is the square route of sixteen
    6·2 answers
  • A car is travel 210 km in 3 hours?
    10·1 answer
  • Ratio number 1.50:1.38
    9·1 answer
  • Which of the following functions is graphed below?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!