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
torisob [31]
3 years ago
5

He sum of two numbers is negative twelve​, and one number is five​ less than the other. Using the variables mm​ and nn​ to repre

sent the two numbers, write a system of equations that describe the situation. Enter the equations below, separated by a comma.
Mathematics
1 answer:
arlik [135]3 years ago
6 0

Answer:

mm + nn = -12

mm - nn = 5

Step-by-step explanation:

two equations can be derived from the question

You might be interested in
Can someone please do this for me, It would be amazing!<br><br>sorry that's all the points I have :(
Serggg [28]

If i was you i would look up every box in the word bank then find examples of each box and do the best I could.

-hope this helps!

7 0
3 years ago
4. Gloria the grasshopper is working on her hops.
aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola  that describes the path of her jump is \mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}

The given parameters are:

\mathbf{Height = 20}

\mathbf{Length = 28}

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

\mathbf{Mid = \frac 12 \times Length}

\mathbf{Mid = \frac 12 \times 28}

\mathbf{Mid = 14}

So, the vertex of the parabola is:

\mathbf{Vertex = (Mid,Height)}

Express properly as:

\mathbf{(h,k) = (14,20)}

A point on the graph would be:

\mathbf{(x,y) = (28,0)}

The equation of a parabola is calculated using:

\mathbf{y = a(x - h)^2 + k}

Substitute \mathbf{(h,k) = (14,20)} in \mathbf{y = a(x - h)^2 + k}

\mathbf{y = a(x - 14)^2 + 20}

Substitute \mathbf{(x,y) = (28,0)} in \mathbf{y = a(x - 14)^2 + 20}

\mathbf{0 = a(28 - 14)^2 + 20}

\mathbf{0 = a(14)^2 + 20}

Collect like terms

\mathbf{a(14)^2 =- 20}

Solve for a

\mathbf{a =- \frac{20}{14^2}}

\mathbf{a =- \frac{20}{196}}

Simplify

\mathbf{a =- \frac{5}{49}}

Substitute \mathbf{a =- \frac{5}{49}} in \mathbf{y = a(x - 14)^2 + 20}

\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}

Hence, the equation of the parabola  that describes the path of her jump is \mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

7 0
2 years ago
If Joey had 5,000,000 dollars and spent 28% of the money, how much will he have left?
Mrac [35]

Answer:

3600000

Step-by-step explanation:

5000000*.28 = 1400000

5000000-1400000 = 3600000

5 0
3 years ago
Apply the distributive property and then combine like terms to write an equivalent expression
Norma-Jean [14]

x + 7(x + 1)

7x + 7

x + 7x + 7

8x + 7

x + 7(x + 1) = 8x + 7

8x + 7

3 0
3 years ago
The perimeter of the rectangle is 30 centimeters. What is the length of side c?
Rainbow [258]
The answer would be 10
8 0
3 years ago
Other questions:
  • Determine whether the pair of equation represents parallel lines.
    14·1 answer
  • I need help please?!!!):
    6·1 answer
  • What is the midpoint between (-5,4) and (-6,7)
    8·1 answer
  • What is the NOT A RESTRICTION on the quotient of quantity 5 x squared minus 10 x minus 15 divided by quantity x squared minus 9
    9·1 answer
  • What is the maximum volume of a pyramid that can fit inside a cube that has side 18 cm long?
    14·1 answer
  • What is one method to find the measure of angle B?
    9·2 answers
  • The curve y = x2 is given. Which of the following describes a method for finding the instantaneous slope at P?
    8·1 answer
  • Write this percentage as a fraction in its simplest form. 21%
    14·1 answer
  • Mr. Borden also asked his students, How do you get to school each day ? Is this question statistical? Explain.
    13·2 answers
  • Find the solutions to x² = 20.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!