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4 years ago

(2x + 5)(2x - 5) find the product

Mathematics

2 answers:

amid [387]4 years ago

7 0

Answer:

4x²- 25

Step-by-step explanation:

Let's use the FOIL (First, Outer, Inner, Last) method to solve:

(2x + 5)(2x - 5)

FOIL

First:

(2x + 5)(2x - 5)

2x(2x)

= 4x²

FOIL

Outer:

(2x + 5)(2x - 5)

2x(-5)

= -10x

FOIL

Inner:

(2x + 5)(2x - 5)

5(2x)

= 10x

FOIL

Last:

(2x + 5)(2x - 5)

(5)(-5)

= -25

Let's put it all together:

4x² - 10x + 10x - 25

Combine like terms:

4x² - 10x + 10x - 25

4x²- 25

Therefore, the product is 4x²- 25.

pochemuha4 years ago

6 0

Answer:

4x^2 -25

Step-by-step explanation:

(2x + 5)(2x - 5)

FOIL

first: 2x*2x = 4x^2

outer : 2x*-5 = -10x

inner : 5*2x = 10x

last: -5*5 = -25

Add them together

4x^2 -10x +10x -25

Combine terms

4x^2 -25

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3 years ago

In the xy-plane, a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5). Which is the equation of the

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3 years ago

The sum of the two areas of two circles is the 80x square meters. Find the length of a radius of each circle of them is twice as

Alborosie

Answer:

$r = 4m$ --- small circle

$R =8m$ --- big circle

Step-by-step explanation:

Given

$Area = 80\pi\ m^2$ -- sum of areas

$R = 2r$

Required

The radius of the larger circle

Area is calculated as;

$Area = \pi r^2$

For the smaller circle, we have:

$A_1 = \pi r^2$

For the big, we have

$A_2 = \pi R^2$

The sum of both is:

$Area = A_1 + A_2$

$Area = \pi r^2 + \pi R^2$

Substitute: $R = 2r$

$Area = \pi r^2 + \pi (2r)^2$

$Area = \pi r^2 + \pi *4r^2$

Substitute $Area = 80\pi\ m^2$

$80\pi = \pi r^2 + \pi *4r^2$

Factorize

$80\pi = \pi[ r^2 + 4r^2]$

$80\pi = \pi[ 5r^2]$

Divide both sides by $\pi$

$80 = 5r^2$

Divide both sides by 5

$16 = r^2$

Take square roots of both sides

$4 = r$

$r = 4m$

The radius of the larger circle is:

$R = 2r$

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3 0

3 years ago

At an annual effective interest rate of i, the following are all equal:

Kipish [7]

Answer:

PV = 1414.213562

Step-by-step explanation:

Find:

PV = 8,000*V^(t+3)

Solution:

- Split the the exponent of V into t and 3:

PV = 8,000*V^t*V^3

- We will calculate the V^t and V^3 from information given.

- The present value of 10,000 at the end of 6 years and immediate value of $5,000. De-crypt this statement we have:

10,000*V^6 = 5,000

V^6 = 5,000/10,000

V^6 = 0.5

V^3 = sqrt(0.5)

- Using 2 and 3, De-crypt:

6000*V^t + 56,000*V^2t = 5000

Solving the quadratic in V^t:

V^t = 0.25

- Hence, we have the present value as:

PV = 8,000*V^t*V^3

PV = 8,000*sqrt(0.5)*0.25

PV = 1414.213562

7 0

4 years ago