Answer:
y=2
x=-1
Step-by-step explanation:
2x-4y=-10
-2x-y=0
Add Together and get:
-5y=-10
y=2
put the 2 in for y in either equation to solve for x
2x-4(2)=-10
2x-8=-10
2x=-2
x=-1
To factorise it start with putting the xs in brackets.
(x )(x )
Then you must find 2 numbers which multiply to +81 and sum to -18.
81 is the product of 9×9 or -9×-9.
9+9=+18
-9+-9=-18
So they two numbers must be -9.
So factorised it is (x-9)(x-9) or (x-9)^2
Answer:
The value of 3 in 46.132 is 10 times the value of 3 in 8.553.
Step-by-step explanation:
The value of 3 in 46.132 is in hundredth's place.
The value of 3 in 8.553 is in thousandths place.
We can write as :
For 46.132, its value is and for 8.553 its value is .
Taking,
So, the value of 3 in 46.132 is 10 times the value of 3 in 8.553. Hence, the correct answer is A.
X = 10
y = -2
x/y = 10/-2
x/y = -5
Hence, x/y = z
Answer:
ASA and AAS
Step-by-step explanation:
We do not know if these are right triangles; therefore we cannot use HL to prove congruence.
We do not have 2 or 3 sides marked congruent; therefore we cannot use SSS or SAS to prove congruence.
We are given that EF is parallel to HJ. This makes EJ a transversal. This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent. We also know that ∠EGF and ∠HGJ are vertical angles and are congruent. This gives us two angles and a non-included side, which is the AAS congruence theorem.
Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate interior angles and are congruent. Again we have that ∠EGF and ∠HGJ are vertical angles and are congruent; this gives us two angles and an included side, which is the ASA congruence theorem.