Answer:
Option 4 is correct. The length of PR is 6.4 units.
Step-by-step explanation:
From the given figure it is noticed that the triangle PQR and triangle MQR.
Let the length of PR be x.
Pythagoras formula
Use pythagoras formula for triangle PQM.
The value of PM is 10. The length of PR is x, so the length of MR is (10-x).
Use pythagoras formula for triangle PQR.
.....(1)
Use pythagoras formula for triangle MQR.
.... (2)
From equation (1) and (2) we get
Therefore length of PR is 6.4 units and option 4 is correct.
Answer:(2,0) x=2,y=0
Step-by-step explanation:
Let's solve your system by elimination.
−x+y=−2;2x−3y=4
Multiply the first equation by 2,and multiply the second equation by 1.
2(−x+y=−2)
1(2x−3y=4)
Becomes:
−2x+2y=−4
2x−3y=4
Add these equations to eliminate x:
−y=0
Then solve−y=0 for y:
−y=0
−y/−1 =0/−1
(Divide both sides by -1)
y=0
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
−x+y=−2
Substitute0foryin−x+y=−2:
−x+0=−2
−x=−2(Simplify both sides of the equation)
−x/−1 = −2/−1
(Divide both sides by -1)
x=2
The amount after 2 years is $2,295.
Given that,
- The invested amount is $1,240.
- The rate of interest is 8%.
- The number of years is 2 × 4 = 8
Based on the above information, the amount after 2 years is
Future value = Present value ×(1 + rate of interest)^number of years
= $1,240 × (1 + 0.08)^8
= $1,240 × 1.08^8
= $2,295
Therefore we can conclude that the amount after 2 years is $2,295.
Learn more: brainly.com/question/18051939
Reduced ratio<span> of any </span>two<span> corresponding sides is called the scale factor of the similar </span>triangles<span>. </span>
