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spin [16.1K]
3 years ago
15

Combine like terms to simplify (5x+2) + (4x+5)

Mathematics
1 answer:
Gnesinka [82]3 years ago
6 0
(5x+2)+(4x+5) = 9x+7
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The perimeter of an equilateral triangle is 26 centimeters. Find the altitude of the triangle
ioda

We have P = 3 x a (the formula of the perimeter); 26 = 3 x a ; we obtain a = 26/3;

Then, we have  <span>the Pythagorean Theorem in one of two rectangular and congruent triangles :</span>

h² = a² - (a/2)² = a² - a²/4 = 4a²/4 - a²/4 =<span> 3a²/4</span>

It follows that

h = √(3a²/4) = a√3/2 ≈ 0,866*a ≈ 7,5 centimeter.

5 0
3 years ago
Pamela is 10 years older than Jiri. the sum of their ages is 76. what is jiri age
loris [4]

Answer:

jiri's age is 66 years old

Step-by-step explanation:

76-10= 66 years old

4 0
3 years ago
Solve for x in the equation x squared + 4 x minus 4 = 8.
densk [106]

9squared=3(x)

81=3x

x=27

3 0
3 years ago
Which equals the product of (x-3)(2x + 1)? 222 – 7x - 3 22 – 5x - 3 3x = 2 6,2​
Katena32 [7]

Answer:

.

Step-by-step explanation:

2 {x}^{2}  - 5x - 3

4 0
3 years ago
What is an equation of the circle with center (-5,4) and a radius of 7?
OleMash [197]

Answer:

Option D

Step-by-step explanation:

Given:

  • Center point: (-5, 4)
  • Radius: 7

<u>Formula:</u>

Equation of circle: (x - h)² + (y - k)² = r²

[Where (h, k) is the center point and "r" is the radius of the circle]

<u>Substitute the coordinates of the center point in the formula:</u>

Given center point: (-5, 4)

∴ x-coordinate of center point (h) = -5; y-coordinate of center point (k) = 4

  • ⇒ (x - h)² + (y - k)² = r²
  • ⇒ [x - (-5)]² + [y - 4]² = r²

<u>Substitute the radius in the formula:</u>

Given radius: 7

  • ⇒ [x - (-5)]² + [y - 4]² = r²
  • ⇒ [x - (-5)]² + [y - 4]² = (7)²

<u>Simplify both sides of the equation:</u>

  • ⇒ [x + 5]² + [y - 4]² = (7)(7)
  • ⇒ [x + 5]² + [y - 4]² = 49  <u>(Option D)</u>

Therefore, Option 4 is correct.

7 0
2 years ago
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