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
iren [92.7K]
3 years ago
6

the sum of the square of a positive number and the square of 3 more than the number is 17 what is the number

Mathematics
1 answer:
Advocard [28]3 years ago
4 0

Answer:

  1

Step-by-step explanation:

Let x represent the number. The given relation is ...

  x² +(x+3)² = 17

  2x² +6x +9 = 17 . . . . simplify

  x² +3x -4 = 0 . . . . . . subtract 17 and divide by 2

  (x +4)(x -1) = 0 . . . . . factor

The solutions make these factors zero: -4 and +1. The positive solution is 1.

The number is 1.

You might be interested in
Graph the system of equations on your graph paper to answer the question.
scZoUnD [109]
<span>y=x-4
y=-x+6 
---------------------
Substitute x - 4 for y in </span>y=-x+6 
x-4=-x+6<span>
--------------------------------
Add X on each side
</span><span>x-4+x</span>=-<span>x+6+x
</span>2x - 4 = 6
--------------------------------------
Add 4 on each side
<span>2x-4+4</span>=<span>6+4
</span>2x = 10
------------------------------------------------
Divide by 2 on each side
2x ÷ 2 = 10 ÷ 2
x = 5
Now we have X
================================================================
To find Y we substitute 5 for x in y=<span>x-<span>4
</span></span>y = 5 - 4
y = 1
-----------------------------------------------------
Your answers are Y = 1 and X = 5

8 0
3 years ago
In the inequality 1/ 2 x - 6 &gt; 10, x represents Todd's age. Which phrase most accurately describes Todd's age? A) Todd is old
Tom [10]

Answer:

Option A) Todd is older than 32

Step-by-step explanation:

we have

\frac{1}{2}x-6>10

Solve for x

Adds 6 both sides

\frac{1}{2}x>10+6\\\\\frac{1}{2}x>16

Multiply by 2 both sides

x>32

so

Todd's age is greater than 32

therefore

Todd is older than 32

8 0
2 years ago
The graph of the function has slope of 1 and y-intercept of -6.​
True [87]

Answer:

= -5

Step-by-step explanation:

1-6=5

1-6

{Subtract the numbers:} 1-6=-5

= -5

6 0
2 years ago
How long will it take light to travel to Earth from the Sun according to the equation?
melomori [17]
Average of eight minutes and twenty seconds to travel from the sun to the earth
8 0
3 years ago
Hernando's salary was $54,500 last year. This year his salary was cut to $52,355. Find the percent decrease. Round to the neares
Otrada [13]

Answer:

Decrease by 3.9%

Step-by-step explanation:

54,500(1-x) = 52355

x=0.03935... = 3.935% or 3.9%

8 0
2 years ago
Read 2 more answers
Other questions:
  • WORTH 80 POINTS HELP
    10·2 answers
  • HELP PLZZZZ!!!!!The figure is made up of a hemisphere, a cylinder, and a cone.
    12·1 answer
  • A student rolled two six-sided number cubes several times. the numbers below are the sums of the numbers she rolled. Which histo
    11·1 answer
  • Rodney rented a machine for $70.00 to make popcorn at a school event. In addition to the machine rental cost, the popcorn suppli
    5·2 answers
  • IHKGHUSOHUOSLSO ANSWER
    14·2 answers
  • Helppppppp meee pleaseee ill give brainliest
    11·2 answers
  • The scatter plot shows the amount of sleep Aria got the night before a test and her test scores. Use the points (0, 62) and (6,
    14·1 answer
  • If a packet of cigarettes are $18.50 and you by four a week how much money will you spend over 3 years?
    8·2 answers
  • What are the prime factors of 625?
    11·2 answers
  • For the function f(x) = 8x7, find f-¹(x).
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!