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
dexar [7]
4 years ago
6

one negative number is 4.5 more than another number. the sum of the squares of these numbers is 46.25. Find both

Mathematics
1 answer:
evablogger [386]4 years ago
8 0

Answer:

y = -6.5 and x = 2

Step-by-step explanation:

Let one negative number be -y and another number be x

We are given that one negative number is 4.5 more than another number

So, -y=x+4.5

We are also given that The sum of the squares of these numbers is 46.25.

So,x^2+(-y)^2=46.25\\x^2+(x+4.5)^2=46.25\\x^2+x^2+20.25+18x=46.25\\2x^2+18x=26.25\\x^2+9x=13.125\\x^2+9x-13.125=0\\

x=-6.5,2

When x = -6.5

-y=x+4.5

-y=-6.5+4.5

-y=-2

y=2

When x = 2

-y=x+4.5

-y=2+4.5

-y=6.5

y=-6.5

So, y = -6.5 and x = 2

You might be interested in
What is the domain of 3x^2-x-2
pshichka [43]

Answer:

All real numbers

Step-by-step explanation:

There is no real number that makes the expression undefined, therefore the domain would be all real numbers.

5 0
3 years ago
PLEASE HELP!!
valkas [14]
I know it is 5,-4 is there another one??
7 0
3 years ago
Triangle C F E is shown. Angle C F E is a right angle. An altitude is drawn from point F to point D on side C E, forming a right
PilotLPTM [1.2K]
45 leaf that over 99
4 0
4 years ago
Read 2 more answers
Carmen is an engineer making plans to run a rail line, represented by the transversal t, through a city.
lubasha [3.4K]

Answer:

m\angle 1=155\degree

Step-by-step explanation:

The missing diagram is shown in the attachment.

We need to Examine Carmen’s rail plans to identify the measure of ∠1.

Recall that corresponding angles are equal.

From Carmen’s rail plans, the measure of \angle 1  corresponds to 155 degrees because the streets represented by lines V and W are parallel and t is a transversal.

Therefore m\angle 1=155\degree

8 0
3 years ago
Read 2 more answers
Seven more than the quotient of a number b and 25 is greater than 5
grin007 [14]

Answer:

you mulitply 25 then divide it by 5 and add in the variable

Step-by-step explanation:

hope it helps

7 0
3 years ago
Other questions:
  • 40 points urgent really need answer
    6·1 answer
  • Which best describes the effect of globalization on China’s economy? China is shifting toward specialization in agriculture and
    15·2 answers
  • Which system has no solutions?
    5·1 answer
  • Which of the following is the image of A after a rotation of -90° about the origin?
    15·2 answers
  • DO NOT SKIP!! Let’s see who smart enough to work out both problems
    15·1 answer
  • The perimeter of a rectangle is 72. The width is 4 less than the length.
    6·1 answer
  • Expectations: Post at least 3 different ways to represent the number
    9·1 answer
  • 6. You are saving up for adopting a dog. You want to have at least $200 saved.
    8·1 answer
  • A certain westbound U.S. highway truck route near a river has a downhill grade of 9%. (a) Explain what a 9% downhill grade means
    12·1 answer
  • You Have Tiangle XYZ with X(-7,-9), Y(-10,-3), and Z(-1,-9) After a 90 Degree Counterclockwise rotation, what is the new coordin
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!