B² - 4ac also known as

Brainliest for best answer

-BARSIC- [3]

Answer:

Slope = -5/8

Step-by-step explanation:

Take 2 points from the graph where the line is. Point 1: (1 , 6). Point 2: (9 , 1).

We are going to use the formula for finding the slope of a line now.

y2 - y1/x2 - x1 = 1 - 6/9 - 1 = -5/8

Slope = -5/8

7 0

2 years ago

Simplify the following Questions. (IMPORTANT NOTE!!! #'s 2 AND 7 MUST BE IN SCIENTIFIC NOTATION!!!!!) 1.) (x)²(2xy³)^5 2.) (4x10

poizon [28]

Answer:

Step-by-step explanation:

Hint :

$(a*b)^{m}= a^{m}b^{m}\\\\\\(a^{m})^{n}=a^{mn}\\\\\\a^{m}*a^{n}=a^{m+n}\\$

$1)x^{2}(2xy^{3})^{5}=x^{2}*2^{5}*x^{5}*(y^{3})^{5}\\\\\\=x^{2}*2^{5}*x^{5}*y^{3*5}\\\\=x^{2}*2^{5}*x^{5}*y^{15}\\\\=2^{5}*x^{2+5}*y^{15}\\\\=2^{5}x^{7}y^{15}$

$2) (4x10^{8})^{2}=4^{2}*x^{2}*(10^{8})^{2}\\\\=16*x^{2}*10^{8*2}\\\\=1.6*10*x^{2}*10^{16}\\\\=1.6x^{2}*10^{16+1}\\\\=1.6x^{2}10^{17}$

$3)(-h^{4})^{5}=(-h)^{4*5}=-h^{20}\\\\\4)(3xy^{3})^{2}(xy)^{6}=3^{2}x^{2}(y^{3})^{2}x^{6}y^{6}\\\\=9x^{2}y^{3*2}x^{6}y^{6}\\\\\\=9x^{2}y^{6}x^{6}y^{6}\\\\=9x^{2+6}y^{6+6}\\\\=9x^{8}y{12}\\\\\\$

$5) (p^{9})^{-2}=p^{9*-2}=p^{-18}\\\\\\6)(5k^{2})^{3}=5^{3}(k^{2})^{3}=625k^{6}\\\\7)(7x10^{5})^{2}=7^{2}x^{2}(10^{5})^{2}\\\\=49x^{2}10^{5*2}\\\\=4.9*10^{1}x^{2}10^{10}\\\\=4.9x^{2}10^{10+1}\\\\=4.9x^{2}10^{11}$

$8)x^{3}(-x^{3}y)^{2}=x^{3}*(-x^3})^{2}y^{2}\\\\\\=x^{3}*(-1)^{2}*x^{2*3}y^{2}\\\\=x^{3}*1*x^{6}y^{2}=x^{3+6}y^{2}\\\\=x^{9}y^{2}\\\\\\9)w^{5}(w^{2})^{-4}=w^{5}w^{2*-4}\\\\=w^{5}w^{-8}\\\\=w^{5-8}=w^{-3}\\\\=\frac{1}{w^{3}}\\\\\\10) (2x^{5})^{4}=2^{4}x^{5*4}\\\\=2^{4}x^{20}\\\\=16x^{20}$

5 0

2 years ago

Rewrite the following without an exponent. (9/5^-2)

zvonat [6]

Answer:

225

Step-by-step explanation:

5^-2 can be rewritten as 1/25.

Then we can divide 1/25 by 9. 9/(1/25)= 225

6 0

2 years ago

What is y=x+10 in Standard Form?<br><br> ASAP please, thanks!

Allushta [10]

The standard form is Ax + By = C

Given the linear equation, y = x + 10, we must transpose x to the left-hand side of the equation:

- x + y = x — x + 10

- x + y = 10

Next, we must multiply both sides by (-1) because A must be positive:

(-1) (- x + y) = 10 (-1)

This leads to:

x — y = -10 in standard form, Ax + By = C

4 0

2 years ago

An isosceles triangle with equal sides of 5 inches and a base of 6 inches is inscribed in a circle. What is the radius, in inche

lyudmila [28]

The radius of the circle is 3.12 inch.

<h3>What is isosceles triangle?</h3>

A triangle having two sides of equal length. Additionally equal are the angles that face the equal sides. Triangle of isosceles. Having two identical sides and angles.

Calculation for the radius of the circle;

Consider the isosceles triangle ABC inscribed in a a circle (attached figure)

Sides AB = AC = 5 inches.

Side BC = 6 inches.

Join OB, OC and OA.

Draw perpendicular on BC from AD which passes from the centre O.

OD bisects BC at point D.

So, BD = DC = 3 inches.

In the right angled triangle ABC

AB² = AD² + BD²

5² = AD² + 3²

AD² = 16

AD = 4 inches.

Let the radius of the circle be r.

Then, OB = OC = OA = r

OD = AD - AO

OD = 4 - r

In the right angled triangle OBD;

OB² = OD² + BD²

r² = (4-r)² + 3³

On solving,

r = 25/8 = 3.12

Therefore, the radius of the circle comes out to be 3.12 inches.

To know more about the isosceles triangle, here

brainly.com/question/1475130

#SPJ4

3 0

9 months ago