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Vladimir [108]
3 years ago
12

Find x and y in image

Mathematics
1 answer:
ipn [44]3 years ago
4 0

Answer:

x = 7, y = 27

Step-by-step explanation:

The triangles are <em>equilateral</em> triangles.  So all sides are equal, and all angles are equal (60°).

Setting sides equal:

x + 4 = 2x − 3

7 = x

Setting the angle to 60°:

2y + 6 = 60

2y = 54

y = 27

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You work two jobs. You earn $11.90 per hour as a salesperson and $10.50 per hour stocking shelves. Your combined earnings this m
andreev551 [17]
11.90y+10.50x=178.50 is the equation
5 0
4 years ago
Hunter mowed 10 lawns in 8 hours what was his rate of mowing in hours per lawn
Bumek [7]

Answer:

0.8 hours = 48 minutes per lawn

Step-by-step explanation:

10 lawns in 8 hours

hours per lawn 8/10 = 0.8 hours = 48 minutes

8 0
3 years ago
Read 2 more answers
Write the simplest polynomial function with the given zeros 2 √2, √5 and -3
sladkih [1.3K]

Answer:

  • A. P(x) = x⁵ + 3x⁴ - 13x³ - 39x² + 40x + 120

Step-by-step explanation:

<u>With the given zero's, the polynomial is:</u>

  • P(x) = (x - 2√2)(x - √5)(x + 3)

<u>Open parenthesis in steps:</u>

1. (x - 2√2)(x - √5) = x² - (2√2 + √5)x + 2√10 = x² - 2x√2 - x√5 + 2√10

2. (x² - 2x√2 - x√5 + 2√10)(x + 3) =

x³ - 2√2x² - √5x² + 2√10x + 3x² - 6√2x - 3√5x + 6√10 =

x³ + 3x² - 2x²√2 - x²√5 - 6x√2 - 3x√5 + 2x√10 + 6√10

This is not matching any options so we add two more zero's: -2√2 and -√5

<u>New polynomial looks like:</u>

  • P(x) = (x - 2√2) (x + 2√2)( x - √5)(x - √5)(x + 3)

<u>Open parenthesis in steps:</u>

  • 1. (x - 2√2) (x + 2√2) = x² - 8
  • 2. (x - √5) (x + √5) = x² - 5
  • 3. (x² - 8)(x² - 5) = x⁴ - 8x² - 5x² + 40 = x⁴ - 13x² + 40
  • 4. (x⁴ - 13x² + 40)(x + 3) = x⁵ + 3x⁴ - 13x³ - 39x² + 40x + 120
  • P(x) = x⁵ + 3x⁴ - 13x³ - 39x² + 40x + 120
6 0
3 years ago
Guys Please Help Me And Thank You So Much.
aliya0001 [1]

Answer:

116

Step-by-step explanation:

8 x 7 = 56

12 - 7 = 5

5 x 12 = 60

60 + 56 = 116

3 0
3 years ago
A 45-45-90 triangle has a leg of length 5.38. What is the length of the other leg?
Ivanshal [37]

Answer:

5.38 units

Step-by-step explanation:

Because of the base angle theorem converse, This triangle is an isosceles triangle.

Because this is an isosceles triangle, because the leg of the triangle is 5.38 units, that means the other leg has to be 5.38 units

You may be asking, how do I know it's the other leg that's congruent.

Well, the angle opposite to the 90° angle is the hypotenuse, and we want the line segment opposite of the 45° angle. And both the legs are opposite to the 45° angles.

Let me know if you have any questions.

7 0
3 years ago
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