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3 years ago

(2a+b)^2÷(3b-1) when a= -2 and b=5

1 answer:

6 0

Evaluate (2 a + b)^2/(3 b - 1) where a = -2 and b = 5:
(2 a + b)^2/(3 b - 1) = (5 - 2×2)^2/(3×5 - 1)

3×5 = 15:
(5 - 2×2)^2/(15 - 1)

| 1 | 5
- | | 1
| 1 | 4:
(5 - 2×2)^2/14

2 (-2) = -4:
(-4 + 5)^2/14

5 - 4 = 1:
1^2/14

1^2 = 1:

Answer: 1/14

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4 years ago

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mixas84 [53]

$\text{Given : Which ordered pair is the solution to the system of equations?} \\ \\ \begin{cases}-5x - 3y = 12 \\ y - x = 12 \end{cases}$

$\text{Solution : According to the question, here let's take these variables as two} \\ \text{equations then get their value and finally get the answer.} \\ \\ \sf {1}^{st} \: equation : \\ \leadsto \frak{-5x - 3y = 12} \\ \\ \leadsto \frak{-5x = 12 + 3y} \\ \\ \leadsto \frak{x= \frac{12 + 3y}{-5}} \qquad \sf ...eq(1) \\ \\ \sf 2^{nd} \: equation : \\ \leadsto \frak{y = x - 12} \qquad \sf ...eq(2) \\ \\ \underline{ \frak{finding \: x }} : \\ \\ \dashrightarrow \frak{x= \frac{12 + 3y}{-5}} \\ \\ \dashrightarrow \frak{x= \frac{12 + 3(x - 12)}{-5}} \\ \\ \dashrightarrow \frak{x= \frac{12 + 3x - 36}{-5}} \\ \\ \dashrightarrow \frak{-5x= 12 + 3x - 36} \\ \\ \dashrightarrow \frak{-5x - 3x= - 24} \\ \\ \dashrightarrow \frak{-8x = - 24} \\ \\ \star \quad \underline{ \boxed{ \green{ \frak{x = 3}}}} \\ \\ \underline{ \frak{ getting \: y}} : \\ \\ \dashrightarrow \frak{y = 3 - 12} \\ \\ \star \quad\underline{ \boxed{\blue{ \frak{y = - 9}}}} \\ \\$

$\green{ \mathbb{HENCEFORTH, \: THE \: PAIR \: IS \: \pink{\frak{ (3,-9)}}}}$

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3 years ago

If p:q=1:2 and q:r=4:3,find p:q:r

vazorg [7]

Answer:

2:4:3

Step-by-step explanation:

To Find :-

p : q : r .

Solution :-

By question ,

→ p :q= 1:2

→ q : r = 4 :3

Therefore ,

→ p/q × q/r = 1/2 × 4/3

→ p/r = 2/3

Again ,

→ p = 1/2q

→ r = 3/4 q

Henceforth ,

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→ 1/2 q : q : 3/4q

→ 4/2q : 4q : 12/4 q

→ 2 : 4 : 3

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3 years ago

An 11-sided polygon has 3 sides of length x centimeters and 5 sides of length 2x centimeters. The lengths of the other 3 sides a

Katarina [22]

The perimeter is the sum of the side lengths.
104 cm = 3(x cm) + 5(2x cm) + (10 cm) + (10 cm) + (19 cm)

Simplifying and solving for x, we have
104 = 13x + 39 . . . . . . collect terms and divide by "cm"
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The value of x is 5.

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