Answer:
x=-8
Step-by-step explanation:
the equation is in standard form of y=ax^2+bx+c
so, to find the vertex, or axis of symmetry do -b/2a.
-16/2(1)=
-8
Answer:
x = 9
y = 6
Step-by-step explanation:
Let's set up equations:
x + y = 15
x - y = 3
Let's rearrange one of these equations to use the substitution method:
x - y = 3
Add y to each side:
x = y + 3
Substitute in for x:
x + y = 15
y + 3 + y = 15
Combine like terms:
( y + y ) + 3 = 15
2y + 3 = 15
Subtract 3 from each side:
2y = 12
Divide each side by 2:
y = 6
Substitute this in to find the other variable:
x + y = 15
x + 6 = 15
Subtract 6 from each side:
x = 9
Answer:
SAS
Step-by-step explanation:
We must prove that triangles ABC and EDC are congruent.
Since BD bisects AE, then AC is congruent with CE.
Since AE bisects BD, then BC is congruent with CD
Angle C is 90° in the triangle EDC and is also 90° in triangle BCA because they are vertical angles.
Being two sides and the included angle congruent, then both triangles are similar by the SAS theorem.
Answer: SAS
Well first we need to find how we can turn 25 into 100
Well one way would be to multiply by 4
25 x 4 = 100
Since we multiplied the bottom number by 4 we should multiply the top number by 4.
So..
19 x 4 = 76
So our new fraction is..
76
-----
100
Now we can easily turn this into a decimal.
76/100 = 0.76
Answer = 0.76
Good Luck! :)