Answer:
Yes it is true. Sum of two integers is always an integer
Step-by-step explanation:
Rule: The sum of any integer and its opposite is equal to zero. Summary: Adding two positive integers always yields a positive sum; adding two negative integers always yields a negative sum. To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values.
Answer:
it is D hope this helps
Step-by-step explanation:
The computation shows that the number of groups that can be made is 4 groups.
<h3>How to calculate the number?</h3>
From the information given, it should be noted that the number is said to be more than 30 and lower than 40.
In this case, it can be noted that the number that is more than 30 and lower than 40 and can be divided into 8 is 32.
Therefore, the number in each group will be:
= 32/8
= 4
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(x,y) = (3,7)
Since both equations express y in terms of x we can equate them.
4x - 5 =2/3x + 5 (subtract 2/3x from both sides )
10/3x - 5 = 5 (add 5 to both sides)
10/3x = 10
multiply both sides by 3/10
x = (3× 10)/10 = 3
substitute x = 3 in either of the 2 given equations to obtain y-coordinate
y = 4x - 5 ⇒ y=(4 × 3) - 5 = 12 - 5 = 7
point of intersection = (3,7)
Answer:
perimeter = 28.13 cm
Step-by-step explanation:
Calculate the length of a line drawn from A to C.
sin 85 = b/8, b = 7.97
cos 85 = c/8, c = 0.697
AC² =7.97² + (6 + 0.697)² = 63.52 + 44.85 = 108.37
AC = 10.41
Now you have a right triangle ADC with a known hypotenuse and one leg.
Using the Pythagorean theorem:
DC² = 10.41² - 5²
DC² = 108.37 - 25 = 83.37
DC = 9.13 cm
perimeter = 5 + 6 + 8 + 9.13 = 28.13 cm