Well lets see..
factors of 28 are 1, 2, 4, 7, 14, 28
factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42,84
as u can see, 28 is the highest in all of them so the greatest common factor is 28. hope this helps!
- Yes, this linear equation is correct on point (0,-2).
Given that:
x - 5y = 10;
(0, -2)
To find
- We have to prove LHS = RHS
So, according to the question
We have,
The linear equation,
x - 5y = 10; and point is (0,-2)
From equation,
x - 5y = 10
Take the left part of given linear equation,
LHS = x - 5y
Now, putting the values, x = 0 and y = -2.
Then, we will be get.
= x - 5y
= (0) - 5 ×(-2)
= - 5 × -2
= 10.
So, we can say that
LHS = RHS.
Where,
LHS = Left Hand Side.
RHS = Right Hand Side.
We can solve that linear equation in other way,
When we put x = 0, we get y = -2.
So, if we put x = 1, we get y = -9/5.
Similarly, if x = 2, then y = -8/5.
Now, we can say that points (0,-2), (1,-9/5) and (2,-8/5) are lie in the linear equation x - 5y = 10.
To learn more about linear equation, please click on the link;
brainly.com/question/13738061
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x
=
−
8
,
−
2
Explanation:
Given:
x
2
+
10
x
+
16
=
0
To complete the square put the two
x
terms on the left and the constant on the right of the equation:
x
2
+
10
x
=
−
16
Complete the square by multiplying the
x
-term by
1
2
:
1
2
⋅
10
=
5
and adding the square of this number to the right side of the equation:
5
2
=
25
(
x
+
5
)
2
=
−
16
+
25
UNDERSTANDING CHECK:
(
x
+
5
)
2
=
x
2
+
10
x
+
25
.
The
+
25
was not in the original equation. If we add
+
25
to one side of the equation, we must add the same amount to the other side of the equation to keep it balanced.
(
x
+
5
)
2
=
9
To solve, square root both sides of the equation:
√
(
x
+
5
)
2
=
±
√
9
x
+
5
=
±
3
x
=
−
5
±
3
x
=
−
5
+
3
=
−
2
,
x
=
−
5
−
3
=
−
8
x
=
−
8
,
−
2
Answer:
interest rate = 2.9%
Step-by-step explanation:
the principal is $25,000, the interest is $10,875
Number of years = 15
We use simple interest formula
I = P*r*t
Where I is the interest amount=10,875
P is the principal amount= 25000
r is the interest rate = r
t is the number of years = 15
Plug in all the value in the formula
I = P*r*t
10875 = 25000 * r * 15
10875 = 375000 * r
Divide both sides by 375000
r=0.029
We always write rate of interest in percentage so we multiply by 100
0.029 * 100= 2.9%
So interest rate = 2.9%
The answer would be 7.5, the triangles have a change ratio of 3:4