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
Vikki [24]
2 years ago
5

The sum of two numbers is 84. The square of the first number is 6 more than the second number.

Mathematics
1 answer:
DerKrebs [107]2 years ago
4 0

The system of equations to find the value of x, the first number, and y, the second number are;

<em>y = -x + 84</em>

<em>y = x² + 6</em>

<h3>System of equation</h3>

The system of equation are equations that contains more than two equation and unknown.

Let the two unknown numbers x and y

If the sum of two numbers is 84, hence;

x +y = 84

y = -x + 84

If the square of the first number is 6 more than the second number, hence;

x² = y + 6

Substitute equation 2 into 2 to have:

x² = y + 6

x² = (-x+84) + 6

x² = -x+84 + 6

x² +x+84 + 6  = 0

x² +x + 90 = 0

Hence the system of equations to find the value of x, the first number, and y, the second number are;

<em>y = -x + 84</em>

<em>y = x² + 6</em>

Learn more on system of equation here; brainly.com/question/12861087

#SPJ1

You might be interested in
Find the equivalent expression of 3+2(2p+4t)
NISA [10]

Remember to follow PEMDAS, and to only combine terms with like variables.

First, distribute the 2 to all terms within the parenthesis:

2(2p + 4t) = 2(2p) + 2(4t) = 4p + 8t

3 + 4p + 8t, or (D), is your answer choice, for it cannot be simplified anymore.

~

7 0
3 years ago
If the first three Fibonacci numbers are given as <img src="https://tex.z-dn.net/?f=x_%7B1%7D%20%3D1" id="TexFormula1" title="x_
vazorg [7]

Answer:

n = 8

Step-by-step explanation:

Continuing the sequence using

x_{n} + x_{n+1}

x₄ = x₂ + x₃ =1 + 2 = 3

x₅ = x₃ + x₄ = 2 + 3 = 5

x₆ = x₄ + x₅ = 3 + 5 = 8

x₇ = x₅ + x₆ = 5 + 8 = 13

x₈ = x₆ + x₇ = 8 + 13 = 21

x₉ = x₇ + x₈ = 13 + 21 = 34

x₁₀ = x₈ + x₉ = 21 + 34 = 55 ← with n = 8

6 0
2 years ago
Read 2 more answers
Over a certain region of space, the electric potential is V = 4x − 7x2y + 7yz2. Find the expressions for the x, y, z components
Tju [1.3M]

Answer:

Ex = - 4 + 14xy

Ey = 7x² - 7z²

Ez = -14yz

Step-by-step explanation:

The relationship between Electric field Er(x, y, z) and Electric potential, V, is a differential relationship:

Er(x, y, z) = -dV/dr(x, y, z)

Where r(x, y, z) = distance in x, y and z components.

The x component of the electric field is:

Ex = -dV/dx

Given that:

V = 4x - 7x²y + 7yz²

Ex = -dV/dx

Ex = -(4 - 14xy)

Ex = -4 + 14xy

The y component of the electric field is:

Ey = -dV/dy

Ey = -(-7x² + 7yz²)

Ey = 7x² - 7z²

The z component of the electric field is:

Ez = -dV/dz

Ez = -(14yz)

Ez = -14yz

8 0
3 years ago
A swim coach randomly selects 3 swimmers from a team of 8 to swim in a heat.
Maru [420]

Answer:

37.5, i think

Step-by-step explanation:

8 0
3 years ago
This Is Graded, Please Help TYSM!
olchik [2.2K]

Answer: For the cirlces since I already answered the triangles

1.  Area:660.519855417

   Circumference:91.1061869541

2. Area: 572.555261117

    Circumference:84.8230016469

3. Area:283.528736986

    Circumference:59.6902604182

4. Area:1017.87601976

    Circumference:113.097335529

5. Area: 63.6172512352

    Circumference: 28.2743338823

6. Area:380.132711084

    Circumference:69.115038379

Step-by-step explanation:

The formula for the area of a circle is π*r^2, r being the radius or the half line in the circle, and the formula for the circumference is   π*r*2, or  π*d, or the diameter which is the line that goes all the way through like number 5. The radius is half the diameter.

4 0
3 years ago
Other questions:
  • How do you find the length of the legs of an isosceles triangle?
    13·2 answers
  • How can I solve a algebraic equation??
    8·1 answer
  • Please help me with this.!
    9·1 answer
  • (3 - (m – p)) = 3; use m = 4, and p = 4<br> Evaluate using the values given
    5·2 answers
  • The annual rate of deprication,x, on a car that
    10·1 answer
  • The
    13·1 answer
  • Jason bought a table for $98.00. The finance charge was $12 and she paid for it over 10 months. (Finance Ch arg e #Months)(12) t
    11·1 answer
  • FREEEEEEEEEEEEEEEEEEEEEEE POINTS
    13·2 answers
  • 7-Eleven sells phone for $80 and charges $0.15 to send a text. which equation shows the total cost, C, of sending "t" texts?
    10·1 answer
  • Can anyone help me with this question please ??
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!