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
lbvjy [14]
3 years ago
10

The sum of the squares of two consecutive integers is 41. Find the integers.

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
6 0
Xsquared+(x+1)squared=41
xsquared+(x+1)(x+1)=41
xsquared+xsquared+2x+1=41
2xsquared+2x+1=41
2squared+2x=40
xsquared+x=20
then, try 1,2, 3 and it works for 4, so the numbers are 4 & 5
You might be interested in
What is the answer (number) for the equation x- 2y = -2
Dahasolnce [82]

Answer:

x = 2 y - 2

Step-by-step explanation:

Solve for x:

x - 2 y = -2

Add 2 y to both sides:

Answer:  x = 2 y - 2

8 0
3 years ago
7100 dollars is placed in an account with an annual interest rate of 7.75%. how much will be in the account after 30 years, to t
amm1812
Total = Principal * (1 + rate)^years
Total = 7,100 * (1 + .0775)^30
Total = 7,100 * <span> <span> <span> 9.3868172981 </span> </span> </span>
Total = <span> <span> <span> 66,646.40
Source:
http://www.1728.org/compint.htm

</span></span></span>
7 0
4 years ago
How long would it take to travel 315 mi at the rate of 45 mi/h ?
Harrizon [31]

It would take 7 hours.

If you are going at 45 miles per hour, you need to find out how much 45 goes into 315.

To deduce this, divide 315 by 45.

315/45=7

It would take 7 hours.

Hope this helps!

6 0
3 years ago
Read 2 more answers
Draw graphs of the following lines: The line through (-5, 2) having the slope of -3
Ivanshal [37]
What you want to do here is take this information and plug it into point-slope form. any time you're given a point and a slope, you generally want to plug it into this equation: y - y1 = m(x - x1).

in this equation, m is your slope and (x1, y1) is a given point. plug in your info--slope of -3 and (-5, 2).

y - 2 = -3(x + 5)

that is the equation of your line. however, if you want to graph it, this doesn't really make much sense to you. convert it to slope-intercept form, y = mx + b, by solving for y.

y - 2 = -3(x + 5) ... distribute -3
y - 2 = -3x - 15 ... add 2
y = -3x - 13 is your equation.

to graph this, and any other y = mx + b equation, you want to start with your y-intercept if it's present. your y intercept here is -13, which means the line you wasn't to graph crosses the y-axis at y = -13, or (0, -13). put a point there.

after you've plotted that point, you use your slope to graph more. remember that your slope is "rise over run"--you rise up/go down however many units, you run left/right however many units. if your slope is -3, you want to go down 3 units, then go to the right 1 unit. remember that whole numbers have a 1 beneath them as a fraction. -3/1 is your rise over 1.
6 0
3 years ago
Read 2 more answers
3, -2, -7,...<br> what is the common difference of this arithmetic sequence
worty [1.4K]

Answer: -5

Step-by-step explanation: The common difference is the same number we are adding each time to get from one term to the next.

In this sequence, we are adding -5 each time

so our common difference is -5.

7 0
3 years ago
Other questions:
  • at McDonalds a cheese burger, c, has 200 fewer calories that a large fry, f. two cheeseburgers and a large fry have 1100 calorie
    12·2 answers
  • I need help with solving this
    10·1 answer
  • Bob and Marie like to go to a good steakhouse. Dinners are $14 to $16 dollars with soup or salad. A beverage is $1.25. Dessert i
    6·2 answers
  • Drag each equation to show if it could be a correct first step to solving the equation 8(x + 5) = 56.
    5·1 answer
  • I lost my calculator and i really need the answer to this 2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20 please help
    9·1 answer
  • Giving 5 stars
    14·1 answer
  • F(x)=5x^2-1 If the graph of f is translated vertically downward by 5 units, it becomes the graph of a function h.
    11·1 answer
  • What is 7 &lt; m-5<br><br><br><br><br> Brainless
    7·1 answer
  • Scale factor of S to T is 4:1 FIND Y
    12·2 answers
  • HELPP!!! This question is very hardd :((
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!