Answer:
3/8 inches
Step-by-step explanation:
The postcard must be less than 4 1/2 inches high.
Elayne's postcard is 4 7/8 inches high.
We need to subtract the limit from the height of her postcard to know how high it is above the limit:
4 7/8 - 4 1/2 = 3/8
Her postcard is higher than the limit by 3/8 inches.
Evaluating 3^3/2 gives us 5.196152423, so we can round this to 5.
Use order of operations
P
E
M
D
A
S
So multiply 5x6 to get 30
Then times 6x3 to get 18
Next times 4x9 to get 36
Add 30, 18, and 36 together to get
84
Answer:
-37
Step-by-step explanation:
1) to find the equation of the given line (its slop-interception form is y=mx+i, where m - slop, i - interception):
a) y=2x+i, where m=2;
b) it is possible to calculate the value of 'i' after the substitution the point (5;-3) into the equation y=2x+i:
-3=2*5+i; ⇒ i= -13;
c) the equation of the given line is y=2x-13.
2) to calculate the value of 'R':
if to substitute the point (-12;R) into the equation y=2x-13, then
R=2*(-12)-13; ⇒ R= -37.
Answer:
z =86
Step-by-step explanation:
The exterior angle of a triangle is the sum of the opposite interior angles
z + z-39 = z+47
2z-39 = z+47
Subtract z from each side
z-39 = 47
Add 39 from each side
z = 47+39
z =86