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2 years ago

14

3. Given: a+b=12 and ab=9 Use (a + b)2 to find a² +bº. (Do not solve for a and b individually)

1 answer:

LenKa [72]2 years ago

7 0

Answer:

a²+b²=126

Step-by-step explanation:

(a+b)²=a²+b²+2ab

(12)²=a²+b²+2×9

144=a²+b²+18

a²+b²=144-18=126

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Steve hade 17 pencils in his backpack. this represents 5 more than 6/7 the number of pencils that Clyde has in his backpack

LenaWriter [7]

Answer:

Clyde has 14 pencils in his backpack

Step-by-step explanation:

Let x be the number of pencils that Clyde has in his backpack.

We can translate this statement “<u><em>Steve hade 17 pencils in his backpack. this represents 5 more than 6/7 the number of pencils that Clyde has in his backpack</em></u>” mathematically like this :

$17=5+\frac{6}{7} x \\\\ \Longleftrightarrow 17-5=\frac{6}{7} x \\\\ \Longleftrightarrow 12=\frac{6}{7} x \\ \\\Longleftrightarrow x=\frac{12\times 7}{6} =14$

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1 year ago

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Why is .3 repeating a rational number

Murrr4er [49]

Because it can be written as a fraction 1/3

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3 years ago

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Sparky has a monthly cell phone plan that has a fixed charge of $15 per month plus $0.05 per text message. Sparky wants to spend

arsen [322]

Answer:

15 + 0.05x ≤ 50

Step-by-step explanation:

The cost needs to be less than or equal to 50. Thus, the equation would be

15 + 0.05x ≤ 50

4 0

3 years ago

B) Calculate the area of the trapezium

RUDIKE [14]

Step-by-step explanation:

$\underline{ \underline{ \text{Given}}} :$

Height ( h ) = 4.5 cm
Base 1 ( b ) = 5.2 cm
Base 2 ( b ) = 10.8 cm

$\underline{ \underline{ \text{To \: find}}} :$

Area of the given trapezium

$\underline{ \underline{ \text{Solution}}} :$

$\boxed{ \sf{Area \: of \: a \: trapezium = \frac{1}{2} h \: (b_{1} + b_{2})}}$

Plug the known values and then simplify !

⟶ $\sf{ \frac{1}{2} \times 4.5 \times (5.2 + 10.8)}$

⟶ $\tt{ \frac{1}{2} \times 4.5 \times 16}$

⟶ $\tt{36 \: {cm}^{2} }$

$\red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \bold{ \tt{36 \: {cm}^{2} }}}}}}}}$

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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2 years ago

Malika has a credit card balance of $321. Her available credit on this card is $4,679. What is her credit line

PtichkaEL [24]

Answer: 5,000

Step-by-step explanation:

4679 + 321=5000

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2 years ago