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3 years ago

Using quadratics, find the value of x.

Mathematics

2 answers:

Iteru [2.4K]3 years ago

4 0

Answer:

(x+1)+(3x+1)+(2x+4)=180 (sum od all sode of a triangle is 180)

x+1+3x+1+2x+4=180

6x+6=180

6x=180-6

x=174/6

x=66

Musya8 [376]3 years ago

3 0

Answer:

x = 4

Step-by-step explanation:

Using Pythagoras' identity on the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

(3x + 1)² = (x + 1)² + (2x + 4)² ← expand all factors using FOIL

9x² + 6x + 1 = x² + 2x + 1 + 4x² + 16x + 16 , simplify right side

9x² + 6x + 1 = 5x² + 18x + 17 ( subtract 5x² + 18x + 17 from both sides )

4x² - 12x - 16 = 0 ( divide through by 4 )

x² - 3x - 4 = 0 ← in standard form

(x - 4)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 1 = 0 ⇒ x = - 1

However, x > 0 thus x = 4

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Alex is trying to run a certain number of miles by the end of the month Alex is 40% of the way to achieving her goal and she alr

docker41 [41]

Answer:

30 miles

Step-by-step explanation:

Given that:

Alex has some target to run a certain number of miles by the end of the month.

Goal already achieved = 40% of the total goal

Number of miles already run by Alex = 12 miles

To find:

Number of miles that Alex is trying to run by the end of month?

Solution:

We have to find nothing but the goal of Alex here.

Let the number of miles that Alex is trying to run by the end of the month = $x$ miles

As per question statement:

40% of total number of miles to be run = 12 miles

$\dfrac{40}{100}\times x = 12\\\Rightarrow 40x=12\times 100\\\Rightarrow x = \dfrac{1200}{40}\\\Rightarrow \bold{x = 30\ miles}$

Total number of miles that Alex is trying to run by the end of the month = <em>30 miles</em>

4 0

3 years ago

Find all the factor pairs for 84 and complete the equations.

VMariaS [17]

1. 84 = 1 x 84

2. 84 = 2 x 42

3. 84 = 3 x 28

4. 84 = 4 x 21

5. 84 = 6 x 14

6. 85 = 7 x 12

Hope this helps!

5 0

3 years ago

Plz i need help and plz explain

Montano1993 [528]

$\frac{ {x}^{2} - 7x + 12}{ {x}^{2} - x - 12 } \\ = \frac{ {x}^{2} - 4x - 3x + 12 }{ {x}^{2} - 4x + 3x - 12 } \\ = \frac{x(x - 4) - 3(x - 4)}{x(x - 4) + 3(x - 4)} \\ = \frac{(x - 3)(x - 4)}{(x + 3)(x - 4)} \\ = \frac{x - 3}{x + 3}$

x² - x - 12 ≠ 0

x² - 4x + 3x - 12 ≠ 0

x (x - 4) + 3 (x - 4) ≠ 0

(x + 3)(x - 4) ≠ 0

x ≠ -3 or x ≠ 4

(B)

3 0

3 years ago

When a=3 and b=4, what is the value of 7(a+2b)?<br><br> Solved and worked out

geniusboy [140]

Answer:

Step-by-step explanation:

7 (3 + 2*4) =

7 (3 + 8) =

7 (11) =

7 * 11 =

8 0

3 years ago

4. Determine the circumference of a circle with a radius that is 14.2 yds. Use 3.14 for π. Round to the nearest tenth.

Vladimir79 [104]

Answer:

The circumference would be around 90 yards.

Step-by-step explanation:

C = 2πr

r = 14.2

14.2 × 3.14 = 44.588

44.588 × 2 = 89.176

89.176 ≈ 90

C = 90

7 0

3 years ago

Using quadratics, find the value of x. ​

Using quadratics, find the value of x.