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Sunny_sXe [5.5K]
3 years ago
14

Solve each equation. If exact roots cannot be found, state the consecutive integers between which the roots are located.

Mathematics
1 answer:
vodomira [7]3 years ago
3 0

Answer:

x=2

Step-by-step explanation:

x^2+10x+24=0

12x=24=0

12x=24

x=2

My math is rusty so this may not be the right answer.

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Jill sold 478 out of 520 tickets to the opening night of her theater performance. What portion of the tickets did she sell?
Arte-miy333 [17]

Answer:

write your answer as a decimal, then round

6 0
2 years ago
Square has side lengths of 13 units. Point lies in the interior of the square such that units and units. What is the distance fr
romanna [79]

The distance from E to side AD is 25/13.

<h3>What is a distance?</h3>
  • The length of the line connecting two places is the distance between them.
  • If the two points are on the same horizontal or vertical line, the distance can be calculated by subtracting the non-identical values.

To find what is the distance from E to side AD:

  • If you draw a diagram, you'll see that triangle AEB is a right triangle with lengths 5, 12, and 13.
  • Let's call F the point where E meets side AD, so the problem is to find the length of EF.
  • By Angle-Angle Similarity, triangle AFE is similar to triangle BEA. (the right angles are congruent, and both angle FAE and ABE are complementary to angle BAE)
  • Since they're similar, the ratios of their side lengths are the same.
  • EF/EA = EA/AB (they're corresponding side lengths of similar triangles).

Substitute them with known lengths:

  • EF/5 = 5/13
  • EF = 5 × (5/13) = 25/13

Therefore, the distance from E to side AD is 25/13.

Know more about distance here:

brainly.com/question/2854969

#SPJ4

The correct answer is given below:
Square ABCD has side lengths of 13 units. Point E lies in the interior of the square such that AE=5 units and BE=12 units. What is the distance from E to side AD? Express your answer as a mixed number.

8 0
1 year ago
The sum of the digits of a two-digit number is 5. If the number is multiplied by 3, the result is 42. Write and solve a system o
Elenna [48]
A two digit number has a tens digit and a ones digit.
Let's say x = tens digit and y = ones digit

"The sum of the digits is 5"
x + y = 5

The next phrase is "the number multiplied by 3 is 42" but we need to represent the number using the digits. So they need to be multiplied first by their place value and added together. [Example: 34 = 3(10) + 4(1)]

The number is: 10x + y
3(10x + y) = 42

The system of equations: (two equations for two unknowns)
x + y = 5
30x + 3y = 42

Then you can use substitution or elimination to combine and solve.
I'll use elimination, multiply the entire top equation by -3 and add the equations together. y will cancel out

-3x - 3y = -15
30x + 3y = 42
------------------
27x + 0 = 27
x = 1

then plug x = 1 into either equation to find y

1 + y = 5
y = 4

remember the x and y represent digits so the number xy is 14
6 0
3 years ago
X² - 5x + 6 = 0 (R: 2, 3)
Firlakuza [10]
I'm sending you two screenshots of the explanation I hope this helps.

4 0
3 years ago
Tonya and Emily each have an online jewelry store. Let T represent the amount of money Tonya earns daily, and let
zubka84 [21]

Answer:

On average, Tonya makes $312 more than Emily on a typical day.

Step-by-step explanation:

I was just studying that question a few hours ago

3 0
3 years ago
Read 2 more answers
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