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Mariana [72]
3 years ago
9

The figures are similar. Find x.

Mathematics
1 answer:
Kitty [74]3 years ago
6 0
<h2>14.4 is the correct answer!</h2><h2 /><h3>5 x ? = 9</h3><h3>9 ÷ 5 = 1.8</h3><h3 /><h3>8 x 1.8 = 14.4</h3><h3 /><h3><em>Please let me know if I am wrong.</em></h3>
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Operations with rational expressions
Scorpion4ik [409]

$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{w+7}{9}

Solution:

Given expression:

$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}

To solve the given expression:

First simplify: \frac{50-2 w^{2}}{3 w^{2}+9 w-30}

$\frac{50-2 w^{2}}{3 w^{2}+9 w-30}=-\frac{2(w+5)(w-5)}{3(w-2)(w+5)}

Cancel the common factor (w + 5).

                      $=-\frac{2(w-5)}{3(w-2)}

Now substitute this in the given expression.

$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{2(w-5)}{3(w-2)} \cdot \frac{w^{2}+5 w-14}{6 w-30}

Multiply the fractions \frac{a}{b} \cdot \frac{c}{d}=\frac{a \cdot c}{b \cdot d}

                               $=-\frac{2(w-5)\left(w^{2}+5 w-14\right)}{3(w-2)(6 w-30)}

Factor the denominator 3(w-2)(6 w-30) =18(w-2)(w-5)

                               $=-\frac{2(w-5)\left(w^{2}+5 w-14\right)}{18(w-2)(w-5)}                        

Cancel the common factor 2(w – 5).

                               $=-\frac{w^{2}+5 w-14}{9(w-2)}

Factor the numerator w^{2}+5 w-14=(w-2)(w+7)

                               $=-\frac{(w-2)(w+7)}{9(w-2)}

Cancel the common factor (w – 2).

                               $=-\frac{w+7}{9}

$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{w+7}{9}

3 0
3 years ago
If 2a+2/a=4, what is the value of 2a^2+2/a^2
Arturiano [62]

Answer:

4

Step-by-step explanation:

2a + 2 / a = 4

2a + 2 = 4a

4a - 2a = 2

2a = 2

a = 1

2a² + 2 / a²

a = 1

2(1²) + 2 / 1²

2 + 2 / 1

4

8 0
2 years ago
Plz help out with this!!!!
liberstina [14]
1. 6 times 6 = 36 cm
2. 9 times 11 = 99 yd

3. 1/2(13)(8+3)
6.5(11)
71.5 ft

4. 12 times 4 = 48 m
5. 5 times 3 = 15 in
6. 8 times 4 = 32 mm

7. 1/2(8)(10+2)
4(12)
48 yd

8. 4 times 4 = 16 cm
9. 12 times 15 = 180 in
4 0
3 years ago
Select the correct answer.
posledela

Answer:

B/ x-y<4

Step-by-step explanation:

6 0
3 years ago
Geometry need answers to 2,3,4, and 5
Nataly_w [17]
2. Diagonals of a parallelogram bisect each other. 
3. the diagonals bisect each other and px equals to qx. 
4. JL bisects QP
5. definition of a parallelogram
4 0
3 years ago
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