Answer:
So the Point of intersection is (-4,-2)
Which is option A
Step-by-step explanation:
The given system of equations is
-0.1x - 0.8y = 2 ...................(i)
0.6x - 0.5y = -1.4 ...................(ii)
Let us take equation (i) and use method of substitution for solving it
the equation (i) is
-0.1 x - 0.8y = 2
Adding 0.8y on both sides
-0.1 x + 0.8 y - 0.8 y = 2 + 0.8 y
-0.1 x = 2 + 0.8 y
Dividing both sides -0.1

x = -8 y - 20 ..........................(iii)
Now we will use this value and put it into equation (ii) to find the value of y
Equation (ii) is
0.6 x - 0.5 y = -1.4
Put value of x
0.6(-8 y - 20) - 0.5 y =-1.4
It becomes
-4.8 y - 12 - 0.5 y = -1.4
adding 12 on both sides
-4.8 y - 0.5 y - 12 + 12 = -1.4 + 12
it becomes by solving
-5.3 y = 10.6
Dividing both sides by -5.3

So
y = -2
Now we have the value of y putting it in equation (iii)
Equation (iii) is
x = -8 y - 20
Putting value of y
x = -8*(-2) - 20
x = 16-20
x=-4
So the Point of intersection is (-4,-2)
By taking x as subject the formula becomes x = (v² - u²)/2a.
<h3>What is Equation?</h3>
An equation is a mathematical statement with an 'equal to=' symbol between two expressions that have equal values.
Here given equation:
v² = u² + 2ax
2ax = v² - u²
x = (v² - u²)/2a
Thus, by taking x as subject the formula becomes x = (v² - u²)/2a.
Learn more about Equation from:
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Answer:
64
Step-by-step explanation:
The interior angle of a circle has the theorem divide in 2 the sum of the arcs on the circle.
The circle has arcs 42 and 86.
The interior angle is 42 + 86 = 128.
128/2 = 64
(1, 3.5 ) and (3, 3.5 )
the endpoints of the midsegment are at the midpoints of DE and DF
using the midpoint formula with D(0, 7), E(2, 0), F(6, 0)
midpoint of DE = [
(0 + 2),
(7 + 0)] = (1, 3.5)
midpoint of DF = [
(0 + 6),
(7 + 0)] = (3, 3.5)