Answer:
b
Step-by-step explanation:
There are two names that start with the letter M.
Make the coefficient of y the same in both equations:
To do this, multiply equation one by 2, and equation two by 5 (this will make the coefficient 10 in both).
14x + 10y = 38
-35x - 10y = -80
Eliminate the y variable by adding the equations from each other
(14x + 10y = 38)
+ (-35x - 10y = -80)
= -21x + 0y = -42
We now have -21x = -42. The y variable has been eliminated.
Solve for x
-21x = -42
Divide both sides by -21 to get x on its own.
x = 2
Substitute x into the equation to find y.
7*2+5y=19
14+5y=19
Subtract 14 from both sides.
5y=19-14
5y=5
Divide by 5 on both sides to get y on its own.
y=5/5
y=1
The answer is (2,1)
Answer:
The measure of angle F is 67.6°
Step-by-step explanation:
In the right triangle DEF
∵ ∠E is the right angle
∵ Side DF is opposite to ∠E
∴ DF is the hypotenuse of the triangle DEF
∵ Side EF is the adjacent side of ∠F
∵ The cosine ratio = 
∴ cos∠F = 
∵ EF = 8 units
∵ DF = 21 units
→ Substitute them in the cosine ratio above
∴ cos∠F = 
→ Use 
to find the measure of angle F
∵ m∠F = 
∴ m∠F = 67.60731219 degrees
→ Round it the nearest tenth of a degree
∴ m∠F = 67.6°
∴ The measure of angle F is 67.6°
9514 1404 393
Answer:
3/8
Step-by-step explanation:
The distributive property tells you the outside factor multiplies each term inside parentheses.
a(b +c) = ab +ac
(-3/8)(4/7 +(-11/7)) = (-3/8)(4/7) + (-3/8)(-11/7)
= -12/56 +33/56 = 21/56 = 3/8
The 35th term will be 197. Starting at a1= -7, each term increases by 6.
