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3 years ago

Find the product of (2x + 5y)(2x − 5y).

Mathematics

2 answers:

Nana76 [90]3 years ago

7 0

The final answer for this is 4x^2-25y^2.

Whitepunk [10]3 years ago

4 0

Answer:

Option D is correct.

the product of $(2x+5y)(2x-5y)$ is, $4x^2-25y^2$

Step-by-step explanation:

Using identity rule:

$(a+b)(a-b) = a^2-b^2$

To find the product of:

$(2x+5y)(2x-5y)$

Apply the identity rule:

here, a = 2x and b = 5y then

$(2x+5y)(2x-5y) =(2x)^2-(5y)^2$

= $4x^2-25y^2$

Therefore, the product of $(2x+5y)(2x-5y)$ is, $4x^2-25y^2$

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A triangle has a height that is 2 inches more than three times the base and an area of 60 in. Find the base and the height of th

const2013 [10]

Answer:

Height = 20, Base = 6

Step-by-step explanation:

The area of a triangle is $\frac{bh}{2}$

where b is the base and h is the height

$H = 3B + 2\\\frac{B(3B + 2)}{2}=60\\\\3B^2 + 2B = 120\\3B^2+2B - 120=0\\$

We can factor by grouping

$3B^2 - 18B + 20B - 120 = 0\\3B(B - 6) + 20(B-6) = 0\\GCF the (B-6)\\(B-6)(3B+20)=0\\B = 6, B = \frac{-20}{3}$

Length can only be positive, so we know that the base is 6 in

The height must be 2 + 3(6) = 20

Height = 20, Base = 6

8 0

3 years ago

Hello can anyone please help me to answer the question above. :) thank you.

Vikki [24]

45 km at 54 km/hr

45 / 54 = 5/6

It took him 5/6 of an hour or 50 minutes I believe

61.4117 km per hr

7 0

2 years ago

Which equation represents a linear function? (1 point)

Elan Coil [88]

Answer:

Option D

Step-by-step explanation:

' y = 4x − 1' would graph as a straight line. Therefore, it is a linear equation.

Liner equations are graphed as a straight line, while nonlinear equations are not.

4 0

3 years ago

Kylie can afford a $1310-per-month house loan payment. If she is being

Lesechka [4]

Answer:

The amount which she borrow as house loan is $ 48514.56

Step-by-step explanation:

Given as :

The house loan per month afford by Kylie = $1310

The period of loan = 25 Years

The annual rate compounded monthly = 8.4%

Principal = $ P

∵ The per month loan afford amount = $1310

So, The amount afford in 25 years = $1310 × 25 × 12

Or, The amount afford in 25 years = $393,000

<u>Now, from compounded method</u> :

Amount = Principal × $(1+\frac{Rate}{12\times 100})^{12\times Time}$

Or, $393,000 = $ P × $(1+\frac{8.4}{12\times 100})^{12\times 25}$

Or, $393,000 = $ P × $(1.007)^{300}$

Or, $393,000 = $ P × $\frac{393,000}{8.10066}$

∴ P = $ 48514.56

Hence The amount which she borrow as house loan is $ 48514.56 Answer

8 0

3 years ago

Suppose that 10 years ago you bought a home for $160,000, paying 10% as a down payment, and financing the rest at 9% interest fo

Goshia [24]

Answer:

Current monthly payment on their existing mortgage would be $1158.66

Step-by-step explanation:

Total cash value = $160,000

Down payment = 10% of 160,000

Down Payment = $16,000

Balance amount = 160,000 - 16,000 = $144,000

Monthly payment formula:

$P=\dfrac{r(PV)}{1-(1+r)^{-n}}$

where,

PV is present value of home, PV=$144,000

r is rate per period , $r=\frac{9}{1200}=0.0075$

n is number of period, n=30x12 = 360

$P=\dfrac{0.0075\times 144000}{1-(1+0.0075)^{-360}}$

$P=\$ 1158.66$

Monthly payment would be same for 30 years.

Thus, Current monthly payment on their existing mortgage would be $1158.66

5 0

2 years ago