C.) -4, -7/5, 1/6, 1.6,
= 2.45
1.6
1/6 = 0.167
-7/5 = -1.4
-4
Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the
1 answer:
Answer:
Step-by-step explanation:
2x + 5y = 16 ------------------(1)
-5x -2y = 2 ------------------(2)
<u>Multiplying (1) by 5 </u>
5(2x+5y) = 16*5
10x+25y = 80 ----------------(3)
<u>Multiplying (2) by 2</u>
2(-5x-2y) = 2*2
-10x - 4y = 4 -----------------(4)
Adding Eq. (3) and (4)
10x + 25y -10x -4y = 80 + 4
25y - 4y = 84
21y = 84
Dividing both sides by 21
y = 4
Now, Putting y = 4 in Eq. (1)
2x + 5(4) = 16
2x + 20 = 16
2x = 20 - 16
2x = 4
Dividing both sides by 2
x = 2
Ordered Pair = (x,y) = (a,b) = (2,4)
Hope this helped!
<h2>~AnonymousHelper1807</h2>You might be interested in
Answer:
C.) 14
Step-by-step explanation:
Look at the triangle: angles b and c have the same arch, so they are congruent.
In a triangle, if two angles are congruent, then the triangle is isosceles, having two equal sides.
The sides opposite the congruent angles are congruent:
∠B → opposite side → AC
∠C → opposite side → AB
The sides AB and AC are equal. Make an equation:
Simplify the equation, solving for x. Add 7 to both sides:
Subtract 2x from both sides:
The value of x is 7. Insert the value of x into the given length of AC:
Simplify multiplication:
Subtract:
Therefore, the length of the line segment AC is 14.
:Done
Concept: Solution of the given attachment is based on the addition of two vectors as given below.
Consider two vectors P and Q, then resultant of these two vectors is given as,
R = P + Q
To find the addition of G & H vectors. That is G + H =?
In the given figure;
Vector A = - Vector G because both are in opposite directions -----(i)
From the figure,
A + H = F --------------- using the given concept ---------(ii)
Now, shall replace the value of A from equation (i) in equation(ii)
- G + H = F
or, G + (- H) = - F
Since the vector addition of G & H is not equal to F.
Hence, the given statement G + H = F is False.
