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3 years ago

(x-1)²-25=0 Factor by using the difference between two squares

Mathematics

2 answers:

sesenic [268]3 years ago

8 0

The answer are x=-4, x=6. I guess

Ronch [10]3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

A difference of 2 squares factors in general as

a² - b² = (a - b)(a + b)

(x - 1)² - 25 ← is a difference of squares

with a = x - 1 and b = 5, thus

(x - 1)² - 25

=(x - 1 - 5)(x - 1 + 5) = (x - 6)(x + 4), then

(x - 6)(x + 4) = 0

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 4 = 0 ⇒ x = - 4

Solutions are x = - 4, x = 6

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Please answer this correctly

iren2701 [21]

Answer:

$10.71 yd$

Step-by-step explanation:

First let's find the radius of the quarter circle.

$area =\frac{1}{4} \pi {r}^{2} \\ 7.065 = \frac{1}{4} *3.14 {r}^{2} \\ \frac{7.065}{3.14} = \frac{1}{4} * \frac{3.14 {r}^{2} }{3.14} \\ 9 = {r}^{2} \\ \sqrt{9} = r \\ 3 yd= r$

Now let's find the arc length of this quarter circle.

$\frac{90}{360} \times 2\pi \: r \\ \frac{1}{4} \times 2 \times 3.14 \times 3 \\ = \frac{9.42}{4} \\ = 4.71yd \\$

Now let's find the perimeter $perimeter \\ = arc \: \: length + radius + radius \\ = 4.71 + 3 + 3 \\ = 10.71yd$

hope this helps

brainliest appreciated

good luck! have a nice day!

4 0

3 years ago

Read 2 more answers

Plz help me ASAP it’s important

Hunter-Best [27]

Answer:

D. 6.3

Step-by-step explanation:

Well you can make a triangle with the line PQ with it's height as 2 and base as 6.

Then you can use the Pythagorean Theorem to find the length of PQ.

a²+b²=c²

2²+6²=c²

4+36=c²

40=c²

c²=40

Square root both sides

c= $\sqrt{40}$

c≈6.3

Our answer is D. 6.3

5 0

4 years ago

Please I need help. Find the sum of the interior angles of the figure below.

FrozenT [24]

Ok so to find the sum of interior angles the formula is

s=180(n-2)
s is sum and n is the number of sides

so this is a quadrilateral cause it has 4 sides

because of that n=4

substitute

s=180(4-2)

now you can either distribute or do pemdas but its easier and more efficient to just do pemdas

s=180(2)
s=360 degrees

5 0

3 years ago

What is the product of 4/6 and 3/4?

Zolol [24]

1/2 because you must canceled the fours and simply the numbers 3 and 2

3 0

3 years ago

Read 2 more answers

Find an equation of the curve that satisfies dy/dx = 102yx^16 and whose y-intercept is 6. y(x) =

otez555 [7]

Answer:

The solution of the given differential equation is:

$y(x)=6e^{6x^{17}}$

Step-by-step explanation:

The given differential equation is in variable separable form and is solved as shown under

$\frac{dy}{dx}=102\times x^{16}\times y\\\\\frac{dy}{y}=102x^{16}dx$

Integrating bot sides we get

$\int \frac{dy}{y}=\int 102x^{16}dx\\ln(y)=102\times \frac{x^{17}}{17}+c\\\\ln(y)=6x^{17}+c\\\\y=e^{6x^{17}+c}\\\\y=e^{c}\cdot e^{6x^{17}}\\\\\therefore y=ke^{6x^{17}}$

where 'k' is a constant whose value can be found by the given condition that

y(0) = 6

$y(0)=ke^{6\times 0^{17}}\\\\\therefore k=6$

The final solution is

$y(x)=6e^{6x^{17}}$

8 0

3 years ago