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3 years ago

Using the identity ( x+a) 9x+b) = x2 + (a+b)x +ab, find the following product: (4p+3q)(4p+7q)

Mathematics

1 answer:

Aleks [24]3 years ago

3 0

Answer:

$(4p+3q)(4p+7q)=x^2+40pq+21q^2$

Step-by-step explanation:

$Given\ (x+a)(x+b)=x^2+(a+b)x+ab\ ...............................(1)\\\\We\ have\ to \find\ (4p+3q)(4p+7q)\\\\Compare\ (4p+3q)(4p+7q)\ with\ (x+a)(x+b)\\\\x=4p\\\\a=3q\\\\b=7q\\\\Substitute\ these\ values\ in\ eq(1)\\\\(4p+3q)(4p+7q)=x^2+(3q+7q)\times 4p+3q\times 7q\\\\(4p+3q)(4p+7q)=x^2+10q\times 4p+21q^2\\\\(4p+3q)(4p+7q)=x^2+40pq+21q^2$

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Find the volume of each figure. Round the answer 5 min 4 mm 18 nm 8 mm

valentina_108 [34]

Try 18mm that should be the answer

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3 years ago

Please help me with this question i’ve tried 2, 4, 8, -8, 0 and none of those answers worked

Airida [17]

Answer:

Step-by-step explanation:

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3 years ago

Solve for n 11/6=n+7/9 (Plz no trolling; will mark brainiest)

xxTIMURxx [149]

Answer:

$n=\frac{19}{18}$

Step-by-step explanation:

Ir order to find the value of n in the given linear equation: $\frac{11}{6} = n + \frac{7}{9}$ you have to perform the properties of equalities to obtain an equivalent equation.

You have to perform these properties in each side of the equation.

Applying the subtraction property (which is the subtraction of the same number to each side of the equation):

Adding $\frac{7}{9}$ to each side:

$\frac{11}{6} - \frac{7}{9} = n + \frac{7}{9} - \frac{7}{9}$

This way you can obtain the value of n

$\frac{11}{6} - \frac{7}{9} = n$

Solving the subtraction of the fractions and simplifying:

$\frac{(11)(9)-(7)(6)}{(6)(9)} = n\\\frac{57}{54} = n\\n=\frac{19}{18}$

7 0

3 years ago

Erin is flying a kite. She knows that 260 feet of the kite

lianna [129]

Answer:

100 ft high

Step-by-step explanation:

We know that Erin, the kite, and her friend create a right triangle since the friend is standing directly under the kite and in front of Erin.

Thus, we can use the Pythagorean theorem to find the height of the kite.

We can let the side the distance be at represents Erin and the kite's distance be EK (aka the hypotenuse), the side that represents Erin and her friend's distance be EF and the side that represents the kite and the friend's distance be KF.

The theorem says that a^2 + b^2 = c^2, where a and b are the two shortest sides and c is the hypotenuse.

We already have the measure of the hypotenuse (260 ft) and one of the shorter sides (240), so we have:

$KF^2+240^2=260^2\\KF^2+57600=67600\\KF^2=10000\\\sqrt{(KF^2=10000)} \\KF=100$

7 0

2 years ago

What is the value of the expression 3.9x10^5/1.3x10^2?

Tanya [424]

Answer:

3 * 10 ^3

Step-by-step explanation:

Divide the numbers

3.9 / 1.3

Subtract the powers of 10

10^5 / 10^2 = 10 ^ (5-2) = 10^3

The result is 3 * 10 ^3

6 0

2 years ago