Set 2x=x²-3 to each other.
Subtract 2x from both sides and get the following
x²-3-2x
Rearranging the formula to make factoring easier, we get
x²-2x-3
Factor and you should get the following:
(x-3)(x+1)
set both equal to 0 and solve for x.
x-3=0⇒x=3
x+1=0⇒x=-1
Now plug both of these values back into one of your original equations to get your y-values. It does not matter which equation you plug your xs back into due to the fact they intersect at the same x, and thus will also intersect at the same y.
For times sake,
y=2x
plug in x=3 and get y=6
plug in x=-1 and get y=-2
Ergo, the equations y=2x and y=x²-3 intersect at
(3,6) and (-1,-2)
Answer:
See attached picture
Step-by-step explanation:
To graph, use y=mx+b as a guide where m is the slope and b is the y-intercept.
y=-3x-4
Start at -4 on the y-axis. Plot a point. This is the y-intercept b. From this point count down 3 units and 1 unit to the right. Plot this point and connect.
y=3/4x +2
Start at 2 on the y-axis. Plot a point. This is the y-intercept b. From this point count up 3 units and 4 units to the right. Plot this point and connect.
You would use the pythagorean theorem. a² +b² =c²
side² +side² = hypotenuse²
So for 1) 8² + 15² = c²
64+225=c²
289=c²
√c² = √289
c = 17
2. 7²+24² =c²
49+576= c²
c²=625
√c²= √625
c = 25
3. 5²+13²=c²
25+169=c²
c² = 194
√c² = √194
c = 13.93
4. 24² + 45² =c²
576 + 2025 =c²
c² = 2601
√c² = √2601
c = 51
5.
Plug each choice into the pythagorean theorem. a² +b² =c²
3²+4² = 5²
9+16= 25
25=25
6²+8²=10²
36+64=100
100=100
16²+63²=65²
256+3969=4225
4225=4225
8²+9²=10²
64+81=100
145=100 Since 145 does not equal 100 it is not a right triangle
Answer:
-19
Step-by-step explanation:
It is a non repeating decimal
Answer:
29 3/4 cups
Step-by-step explanation:
total amount of tanner in the 3 containers = sum of tanners in each container
total cups in containers b and c = 2/3 x 12 3/4
2/3 x 51/4 = 17/2 cups or 8 1/2 cups
total capacity = 8 1/2 + 8 1/2 + 12 3/4 = 17 + 12 3/4 = 29 3/4
