If 4 are $2.00 , then x3 to get 12 light bulbs and 2x3=6 so it's $6.00
{(-5,64), (2,1)}
linear equation: y = -9x + 19
quadratic equation: y = x² - 6x + 9
Substitute the y in the quadratic equation by the its value in the linear equation.
-9x + 19 = x² - 6x + 9
- 19 - 19 *subtract 19 to both sides
-9x = x² - 6x -10
+9x + 9x *add 9x to both sides
0 = x² + 3x - 10
0 = (x + 5) (x - 2) *Factor
Set each factor = 0 and solve
x + 5 = 0 ; x - 2 = 0
x = -5 ; x = 2
Find the corresponding value of y using the linear equation.
y = -9x + 19
x = -5 x = 2
y = -9(-5) + 19 y = -9(2) + 19
y = 45 + 19 y = -18 + 19
y = 64 y = 1
(-5,64) (2,1)
Check each value on each equation.
y = x² - 6x + 9
(-5,64) (2,1)
64 = (-5)² - 6(-5) + 9 1 = 2² - 6(2) + 9
64 = 25 + 30 + 9 1 = 4 - 12 + 9
64 = 64 1 = 1
y = -9x + 19
64 = -9(-5) + 19 1 = -9(2) + 19
64 = 45 + 19 1 = -18 + 19
64 = 64 1 = 1
{(-5,64), (2,1)}
X=16
y= -12
X+2( -x+4)=-8
X-2x+8=-8
-1x=-16
X=16
Y=-16+4
Y=-12
Answer:
m<D = 105
Step-by-step explanation:
So, Triangle STU and DEF are similar triangles, because their corresponding side lengths have the same ratio.
For example FD can be multiplied by 2.5 to get SU, and EF can be multiplied by 2.5 to get TU, and ED can me multiplied by 2.5 to get 15.
Anyways, since the two triangles are similar, they have the same angle measures, meaning that angle D can be found by subtracting 46 and 25 from 180 degrees to find the missing angle, which is 105 degrees. I hope that helps.
Answer: A, 102
Step-by-step explanation:
Okay so just find the big square and subtract the holes
big square is 30x20 which is 600
hole #1 is 20x5 = 100
hole #2 is a triangle so you first find the base and height which are 10 and 5 respectively. Then use the triangle area formula a = 1/2bh to find that the triangle's area is 25.
Subtract the holes now
600-100-25 = 475
1 Gallon = 200 square feet covered so divide 475 by 200 to find how many gallons should be used. It's 3 gallons since you can't just buy a fraction of a gallon (Unless your being weird).
One gallon is 34, so 3 gallons is 3*34 = 102
Or in other words... A
hope you learned and can incorporate these methods for future problems :D!
