25x² + 1 = 5

25x² + 1 - 5 = 0

25x² - 4 = 0 By difference of two squares

(5x)² - (2)² = 0

(5x - 2)(5x + 2) = 0

5x - 2 = 0 or 5x + 2 = 0

5x = 0 + 2 5x = 0 - 2

5x = 2 5x = -2

x = 2/5 x = -2/5

x = 0.4 x = -0.4

x = + 0.4 or -0.4

3 0

2 years ago

Find the slope of the line that passes through each pair of points.<br> 5. G(–3, 2), H(7, 2)

sladkih [1.3K]

Answer:

y=0x+2 meaning the slope is equal to 0

Step-by-step explanation:

If you think about this question you'll see that our two points have the same y coordinate

This means that the slope is equal to 0

so we have

y=0x+b

If we plug in -3 for x and set the equation equal to 2 we can find b

0+b=2

b=2

so we have

0x+b=y

5 0

3 years ago

A circle is centered at the point (-3,2) and passes through the point (1,5). What is the radius of the circle?

Akimi4 [234]

Answer:

Step-by-step explanation:

The radius is a distance on a circle from the center to a point on the circle.

We have both of these points describe here in this definition. Using the distance formula will give us the radius.

$\sqrt{(x \text{ difference })^2+(y \text{ difference})^2$

The difference between 1 and -3 is 1-(-3)=4.

The difference between 5 and 2 is 5-2=3.

$\sqrt{4^2+3^2}$

$\sqrt{16+9}$

$\sqrt{25}$

$5$

8 0

2 years ago

Simplify Sinx + cosx/ cos²x - sin²x

bonufazy [111]

$\dfrac{\sin x + \cos x}{\cos^2 x - \sin^2 x}\\ \\\\=\dfrac{\sin x + \cos x}{(\cos x + \sin x )\\\\(\cos x - \sin x)}\\\\\\=\dfrac{1}{\cos x - \sin x}$

3 0

1 year ago