Answer: 10.8
Step-by-step explanation: the pythagorean theorem is A sqaured or A^2 + B^2 or B squared equals C^2 or C squared so 10 squared as is the first number is 100 and 4 squared as is the second number is 16 add the two to get 116 but since your answer is squared you need to take the square root which means your answer is 10.7703296143 but since your rounding to the tenths place your answer is 10.8
Answer:
#5: 180 paperclips in total.
#6: 126 stamps in total.
#7: Elena should give Lucy 15 colored pencils.
Step-by-step explanation:
This explanation solves each question by setting a single unknown, .
Let the initial number of paperclips of Antonio. That should also be the number of Abby's paperclips.
Initially:
Antonio gives paperclips to Abby. After that,
Abby now possess twice as many paperclips as Antonio does. In other words,
.
By the distributive property:
.
Substract from both sides
.
Both Antonio and Abby initially possess 90 paperclips. That's 180 in total.
<h3>#6</h3>Similarly, let be the number of Emily's stamps. That should be the same as the number of Jasmine's stamps.
Initially:
After Emily gives stamps to Jasmine:
Jasmine now possesses twice as many stamps as Emily does. In other words,
.
.
Jasmine used to possess 126 stamps. Now she possesses stamps after receiving
stamps from Emily.
Let the number of pencils that Elena needs to give to Lucy be .
Initially:
After Elena gives pencils to Lucy:
Elena should now possess four more pencils than Lucy does. In other words,
.
.
.
Answer:
Step-by-step explanation:
Given;
x² - 2x - 1 = 0
Solve by completing the square method;
⇒ take the constant to the right hand side of the equation.
x² - 2x = 1
⇒ take half of coefficient of x = ¹/₂ x -2 = -1
⇒ square half of coefficient of x and add it to the both sides of the equation
⇒ take the square root of both sides;
Therefore, option B is the right solution.