Answer:
y=7.51
Step-by-step explanation:
First, you have to simplify one of the equations down
3x-y=4
y=-4+3x
Second, you insert the value of y into the other equation and then solve for x
9x+5(-4+3x)=8
9x-20+15x=8
24x=28
x=1.17
Last, insert the value of x into the original equation and then solve for y
y=4+3(1.17)
y=7.51
Answer:
Graph is attached below
Step-by-step explanation:
You first need to plot any two points on the coordinate plane(you can also do more than two points to make it more accurate). Then, using a ruler connect the points and extend the line outwards.
Answer:
-3
Step-by-step explanation:
The length of a segment is
sqrt( ( y2-y1)^2 + (x2-x1) ^2) = 2 sqrt(10)
sqrt( ( a-4 - -1)^2 + (2a -4) ^2) = 2 sqrt(10)
sqrt( ( a-4 +1)^2 + (2a -4) ^2) = 2 sqrt(10)
Combine like terms
sqrt( ( a-3)^2 + (2a -4) ^2) = 2 sqrt(10)
Square each side
( a-3)^2 + (2a -4) ^2) = 4 *(10)
FOIL the left side
a^2 -6a +9 + 4a^2 -16a +16 = 40
Combine like terms
5a^2 -22a +25 = 40
Subtract 40 from each side
5a^2 -22a -15 =0
Factor
(a - 5) (5 a + 3) = 0
Using the zero product property
a-5 =0 5a +3 = 0
a = 5 5a = -3
a=5 a = -3/5
The product of the terms is
5 * -3/5 = -3
Hey there!
43 + 7 = 50
so x = 7
Hope this helps
Have a great day (:
Area = 7 x 7 + 1/2 x 7 x 3
= 49 + 10.5
= 59.5cm2