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3 years ago

Which is the most suitable identity to find product of (4x + 5) (4x – 1)

Mathematics

2 answers:

Dimas [21]3 years ago

6 0

Answer:

$(x+a)(x+b)$

Step-by-step explanation:

Following identity is most suitable to simplify (4x + 5) (4x – 1)

$(x+a)(x+b) = x(x+b)+ a (x+b)$

Bad White [126]3 years ago

6 0

Here’s the answer
I hope it will be for you.
Thanks

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What is the reciprocal of 5/9

Nat2105 [25]

Answer:

$\frac{9}{5}$

Step-by-step explanation:

To find the reciprocal, divide 1 by the number given'

$\frac{1}{\frac{5}{9} }$

(if you can't see it, it is 1 over 5/9)

Simplify;

Multiply the numerator by the reciprocal of the denominator.

$1(\frac{5}{9} )$

(if you can't see it, it is 1 × 5/9)

Multiply $\frac{9}{5}$ by 1.

$\frac{9}{5}$

So our answer is $\frac{9}{5}$ !

We did it!

5 0

3 years ago

60% of a number is 567. What is 50% of the number blank?

grandymaker [24]

945 is your answer but what number blank?

4 0

3 years ago

Mary is flying a kite and has let out 50 yards of kite string. Mary’s kite is directly above Erika.

ch4aika [34]

The distance of Erika from kite directly is 35.71 yards

Step-by-step explanation:

Considering the given situation as a right triangle with string as hypotenuse and the distance between both girls as base

So,

$h = 50\ yards\\b = 35\ yards$

As the triangle is a right triangle, we can use pythagoras theorem to solve this problem.

$h^2 = b^2 + p^2\\p^2 = h^2 - b^2\\p^2 = (50)^2 - (35)^2\\p^2 = 2500-1225\\p^2 = 1275\\\sqrt{p^2} = \sqrt{1275}\\p = 35.707\ yards$

Rounding off to nearest hundredth

=> 35.71 yards

Hence,

The distance of Erika from kite directly is 35.71 yards

Keywords: Triangle, Pythagoras

Learn more about triangle at:

#LearnwithBrainly

3 0

3 years ago

Imagine you are standing near a large rectangular pool and your friend asks you how far you think it is from one corner of the p

pickupchik [31]

Answer:

See explanation below.

Step-by-step explanation:

A right triangle is a triangle that has a right angle (90º). In math, the Pythagorean theorem allows us to calculate the length of the sides of a right triangle.

In a right triangle, the legs are the two sides that meet at the 90º angle and the hypotenuse is the side that opposes the right angle. The Pythagorean Theorem tells us that the square of the hypotenuse equals the sum of the squares of the legs. In other words: $c^2 =a^2 +b^2$ where c is the hypotenuse and a and b are the legs.

Now, we can use this formula to calculate the diagonal of the pool if we just have the length and the width (these would be the legs of the triangle). We need to measure both the length and the width and then square both of them and sum up the squares: this would give us the square of the diagonal so we will only need to find its quadratic root and we will have the length of the diagonal.

For example, let's say we have a pool that is 3 ft by 4ft, using the formula we have:

$Diagonal^2=3^2 +4^2 \\Diagonal^2 = 9+16\\Diagonal^2 = 25\\Diagonal = \sqrt{25} \\Diagonal =5$

Therefore, in this case the diagonal would be 5 ft long.

5 0

4 years ago

Use technology to solve for x. 2x−8=3x−9 What are the solutions?

deff fn [24]

Step-by-step explanation:

$2x - 8 = 3x - 9 \\ \\ \therefore \: 9 - 8 = 3x - 2x \\ \\ \therefore \: 1 = x \\ \\ \therefore \: x = 1$

3 0

4 years ago