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liubo4ka [24]
3 years ago
5

Harold and cindy both found the sum of two 4-digit numbers, but their results were not the same. if kent made an error of additi

on by one in the tens column and cindy's result was correct, what was the difference between the larger result and the smaller result?
Mathematics
2 answers:
Fiesta28 [93]3 years ago
7 0
<span>The difference between the larger result and the smaller result was 10.

Suppose the 4 digits numbers are abcd and pqrs

Here, 1st Number is = 1000*a + 100*b + 10*c + d
and 2nd</span> Number is = 1000*ap + 100*q + 10*r + s

Then, since Kent made an error if 1 in tens columns and Harold added it correct, so the difference will be of 10 points.
Anton [14]3 years ago
6 0

Answer: 10 is the answer yall haha

Step-by-step explanation:

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2. Consider the circle x² + y2 = 1, given in figure. Let OP makes an angle 30° with the x axis.
PolarNik [594]

The equation of the tangent line to the circle passing through the point P is; y = (1/√3)x ± 2/√3

<h3>How to find the equation of the tangent?</h3>

I) We are given the equation of the circle as;

x² + y² = 1

Since angle of inclination is 30°, then slope is;

m = tan 30 = 1/√3

Then equation of the tangent will be;

y = (1/√3)x + c

Put  (√3)x + c into the given circle equation to get;

x² + ((1/√3)x + c)² = 1

x² + ¹/₃x² +  (2/√3)cx + c² = 1

⁴/₃x² +  (2/√3)x + (c² - 1) = 0

Since we need to find value of c for equation to become tangent, then the above quadratic equation must have real and equal roots.

Thus;

((2/√3)c)² - 4(⁴/₃)(c² - 1) = 0

⁴/₃c² - ¹⁶/₃(c² - 1) = 0

⁴/₃c² - ¹⁶/₃c² + ¹⁶/₃ = 0

4c² = ¹⁶/₃

c² = ⁴/₃

c = √⁴/₃

c = ±²/√3

Thus, equation of tangent is;

y = (1/√3)x ± 2/√3

II) Radius from the given equation is 1. Thus, we will use trigonometric ratio to find the x and y intercept;

x-intercept is at y = 0;

0 = (1/√3)x ± 2/√3

-(1/√3)x = ±2/√3

Intercept is positive. Thus;

x = (2/√3)/(1/√3)

x = 1

y - intercept is positive at x = 0;

y = (1/√3)0 ± 2/√3

y = 2/√3

Read more about Equation of tangent at; brainly.com/question/17040970

#SPJ1

6 0
1 year ago
Kendall was able to score 368 points on 32 games. create a unit rate for this information.
Lesechka [4]

(368 points) / (32 games)  =  11.5 points/game

(32 games) / (368 points) = 0.08696 game/point

8 0
3 years ago
What is the answer please hurry this is to pass my class 10 points!!!
-BARSIC- [3]

Answer:

The answer is A I suppose

7 0
3 years ago
Ignore this
marissa [1.9K]

Answer:

Thanks for free

Step-by-step explanation:

7 0
2 years ago
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PLS HELP TEST ILL GIVE BRAINLIEST
dybincka [34]

Answer:

X must be  negative

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Step-by-step explanation:

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