We need to use the variables m and n to represent both numbers.
Their sum must equal -15. Therefore, we can write the next equation:
m + n = -15
If one number is five less than the other, we need to choose one variable and then we can write it in terms of the other variable. Then:
n = m-5
To find the value for each number, we can replace the n equation on the first equation:
m + n = -15
m + (m-5)= -15
Then:
m + m - 5 = -15
2m -5 = -15
Solve the equation for m:
Add both sides 5 units:
2m - 5 +5 = -15+5
2m = -10
Divide both sides by 2:
2m/2 = -10/2
m = -5
Finally, replace the m value on the first equation:
m + n = -15
-5 + n = -15
Then, solve the equation for n:
Add both sides by 5:
-5+5 + n = -15 +5
n = -10
Hence, both numbers are m=-5 and n= -10.
The equations separated by a comma are m + n = -15,n = m-5.
The numbers separated by a comma are -5,-10.
The are 8 blue bicycles, 6 green bicycles, and 4 yellow bicycles and total they equal 18.
Answer: y = 4 and x = 1
Step-by-step explanation:
when y is 2, x is 0.5
when y is 4, x is 1
.(+ 2) .(+ 0.5)
.(+ 2) .(+ 0.5)
.(+ 2) .(+ 0.5)
.(+ 2) .(+ 0.5)
the rule is that y is 4 times larger than x
Answer:
f(x) = -60 is your answer
Step-by-step explanation:
Plug in 3 for x
f(x) = 5x² - 7(4x + 3)
f(x) = 5(3²) - 7(4(3) + 3)
Follow PEMDAS. First, solve the parenthesis
3² = 9
4(3) + 3 = 12 + 3 = 15
f(x) = 5(9) - 7(15)
Multiply
f(x) = 45 - 105
Simplify. Subtract
f(x) = 45 - 105
f(x) = -60
f(x) = -60 is your answer
~
Answer:
The correct answer is option a
Sin A = 2√13/13
Cos A = 3√13/13
Tan A = 2/3
Step-by-step explanation:
From the figure we can see that,a right angled triangle.
ΔABC
<u>To find side AB
</u>
AB = √(AC)² + (BC)² =√(36² - 24² )= √1872
AC = 12√13
<u> To find the trigonometric ratio
</u>
Sin A = BC/AB = 24/12√13 = 2√13/13
Cos A = AC/AB = 36/ 12√13 = 3√13/13
Tan A = BC/AC = 24/36 = 2/3
