Answer:
Step-by-step explanation:
exponents raised to a - power is an inverse function probably not the right word
a^-b = 1/(a^b) example 4^-2 = 1/(4^2) = 1/16
so (7^-1)^-1 is a double inverse which is back to the original number 7
inverted 7 twice
(7^-1)^-1 = (1/7)^-1 = 1/(1/7) = 7 trust me or use your calculator
since the coeffients are the same just add the powers... some exponent rule
5^2 * 5^4 * 5^-3 = 5^(2+4-3) = 5³
here is it written out
5^2 * 5^4 * 5^-3 = 5² × 5^4 × 5^-3 = (5×5) × (5×5×5×5) × (1/5×1/5×1/5)
5×5 × 5× (5×5×5 × 1/5×1/5×1/5) (5×5×5 × 1/5×1/5×1/5) = 1
5×5×5 = 5³
so
Answer:
Vertex:
(
3
2
,
−
41
4
)
(
3
2
,
-
41
4
)
Focus:
(
3
2
,
−
10
)
(
3
2
,
-
10
)
Axis of Symmetry:
x
=
3
2
x
=
3
2
Directrix:
y
=
−
21
2
y
=
-
21
2
x
y
0
−
8
1
−
10
3
2
−
41
4
3
−
8
4
−
4
Vertex:
(
3
2
,
−
41
4
)
(
3
2
,
-
41
4
)
Focus:
(
3
2
,
−
10
)
(
3
2
,
-
10
)
Axis of Symmetry:
x
=
3
2
x
=
3
2
Directrix:
y
=
−
21
2
y
=
-
21
2
x
y
0
−
8
1
−
10
3
2
−
41
4
3
−
8
4
−
4
Step-by-step explanation:
Answer:
10x + 5y = 11
Step-by-step explanation:
I usually find it in slope intercept then convert, it's easier for me.
First you find slope using delta y over delta x giving you -2/5.
so you have y=-2/5x + b
To find b plug in a point and solve down
1 = -2/5(3) +b
1+6/5 = b
b = 11/5
y=-2/5x + 11/5
Then you convert it to Ax+by=C form,
multiply by 5
5y = -10x + 11
move x
10x +5y = 11
Answer:
2, I think. Lines 1 & 2 and lines 7 & 4 are perpendicular
edit: 3 pairs, 3 & 5 is the last one
Step-by-step explanation:
Answer:
1. 2x + 8y = 10xy
2. 13ab + 15ab = 28ab
Step-by-step explanation:
This is because for question 2 the "a" and "b" stay together since it's on 13 and 15. So that is why you would get 28ab. For question 1 it's basicly the same but instead, you combine the two to get your answer.
Hope this helps.
