I need Algebra help please? i looked at videos and still don't understand. Picture below?

Question

Answer 1

L=8*8+6*6=64+36=sqrt(10)=10

L=hypotenuse of a 6, 8, 10 triangle.

Answer 2

2 point that are plotted that is (-5,3) and (3, -3)

We apply the distance formula to calculate the length of a  line segment.. 

D = √[(x₂ - x₁)^2 + (y₂ - y₁)^2]

D = √[(3 - (-5))^2 + (-3 - 3)^2]

D = √[ 8^2 + (-6)^2]

D=  √(64 + 36)

D =√(100)

D = 10  answer//

Answer 3

The length of the line ends at A(-5,3) & B(3,-3). Thus the

length of AB

=sqr[(3-(-5))^2+(-3-3)^2]

=sqr[(3+5)^2+(-6)^2]

=sqr[8^2+(-6)^2]

=sqr[64+36]

=sqr(100)

=10

Answer 4

 Length = √(64 + 36) 

            = √100

            = 10

Answer 5

Using the grid lines to form a right angled triangle. The two grid lines to use are y = -3 , which has a length of '8' from 3 to '-5', and x = -5 , which has a length of '6' from '3' to '-3' 

The apply Pythagoras. 

The Pythagorean Equation is h^2 = a^2 + b^2 

'h' being the hypotenuse  of the triangle, and it is the 'sloping' line. 

Hence substituting 

h^2 = 6^2 + 8^2

h^2 = 36 + 64 

h^2 = 100 

Square root both sides 

h = sqrt(100) = 10 

h = 10  the length of the sloping line. 

Hope that helps!!!!

Answer 6

If you've learned the distance formula, this is the time to use it.  The distance between points (a,b) and (c,d) is:

    r = √[(c - a)² + (d - b)²]

You have the two points (-5, 3) and (3, -3).  Call those (a,b) and (c,d) so that a=-5, b=3, c=3, d=-3 and plug in.  Watch out when subtracting negative numbers. 

Another way to get the same answer is to draw a vertical line through one of those points and a horizontal line through the other so you get a right triangle with the blue line segment as the hypotenuse.  You can count squares to find the lengths of the two legs  and then use the Pythagorean theorem to find the length of that hypotenuse.

Answer 7

distance =

√((3 - (-5))^2 + (-3 - 3)^2) =

√(8^2 + (-6)^2) =

√(64 + 36) =

√100 =

10 

Answer 8

Make a triangle by joining given points to (-5, -3)

Measure the base length and height of that triangle, then use

hypotenuse squared = base squared +  height squared

Time for you to join in

Answer 9

If you mark the point (-5, -3) on the diagram you get a right angled triangle with perpendicular sides of lengths 6 and 8.

You can then use Pythagoras.  Or spot this is a 3-4-5 triangle scaled up by a factor of two, giving a 6-8-10 triangle. Answer = 10