Answer:
(4,11)
Step-by-step explanation:
y=2x+3
y=5x-9
the first equation is equal to the second equation so
2x+3=5x-9
put like terms together
2x-5x= -9-3
-3x= -12
divide both sides by -3
.•.x=4
now, use the value of x to find the value of y like this:
y=2x+3 (x=4)
y=2(4)+3
y=8+3
y=11
therefore, the two lines intersect at the point (4,11)
Answer:
Step-by-step explanation:
<em>See the drawing attached</em>
<h3>Given</h3>
- C is midpoint of AB
- B is between A and D
- AD = 15
- BD = 7
- Find CD
<h3>Solution</h3>
- CD = CB + BD =
- 1/2AB + BD =
- 1/2(AD - BD) + BD =
- 1/2(15 - 7) + 7 =
- 1/2(8) + 7 =
- 4 + 7 =
- 11
Answer:
They do not form a Pythagorean Triple.
If it was a Triple, 4^2+5^2 should equal 6^2.
4^2+5^2=16+25=41
6^2=36
41≠26
It doesn't work, therefore it is not a Pythagorean Triple.
Answer:
5(2x-8)+15=-15
10x-40+15=-15
10x-25=-15
+25 +25 (add 25 to both sides)
____________
10x=10
divide by 10 on both sides
x=1