Answer:
m=31/2, n=-24. (31/2, -24).
Step-by-step explanation:
2m+n=7
4m+3n=-10
-------------------
n=7-2m
4m+3(7-2m)=-10
4m+21-6m=-10
-2m=-10-21
-2m=-31
2m=31
m=31/2
2(31/2)+n=7
31+n=7
n=7-31
n=-24
You add half of the coefficient of x and square it.
What you do on one side,you must do it on the other.
Answer:
6
Step-by-step explanation:
f(x) = 2(x-5)
f(8) = 2(8-5)
- parentheses comes first so, 8-5 = 3
- 2(3), so multiply and the final answer is 6
f(8) = 6
Let x be the length of one side of the smaller square
Let y be the length of one side of the larger square
4x would be the perimeter of the smaller square, as it has 4 sides
Therefore 4x = y + 10, as the perimeter of the smaller square is 10 inches bigger than one side of the larger square.
We're going to solve this question using simultaneous equations. This means we need another equation to compare the first one to.
Since we know that one side of the larger square is 2 inches bigger than the first one, we can make the equation
y = x + 2
Know that we know the value of y in terms of x, we can introduce this value to the original equation to find:
4x = (x + 2) + 10
Therefore:
4x = x + 12
3x = 12
x = 4
Now that we know the size of the sides on the smaller square, we can figure out the size of the larger square by using our second equation (y = x + 2)
y = 4 + 2
y = 6
Therefore, the length of each side of the larger square is<u> B.6</u>
Answer:
(c) 
°
(d) 
°
(e) 
°
° and 
°
°
Step-by-step explanation:
The triangle is an isosceles triangle with the base angles which are identical. The double stroke on the sides of the triangle indicates which angles are the base angle. The angle corresponding to the side of the triangle with no double stroke is known as the vertex angle.
(c) The given angle is the vertex angle in this question and it is 70°
Since, ° is one of the base angle, then the other angle which is not drawn is identical to ° .
Total angle of a triangle is 180°.
°
°
°
°
°
Divide by 2 on both sides to get °
°
°
(d)
The given angle is a base angle in this question and it is 63°.
Since base angles are identical, then
°
°
Divide by 3 on both sides to get °
°
°
(e)
The given angle 48° is a base angle.
Since base angles are identical, then
°
°
Divide by 3 on both sides to get °
°°
Total angle of a triangle is 180°.
So, °
°
° °
°
°
Divide by 2 on both sides to get °
°°
