The slope m of a line passing through points P(a, b) and Q(c, d) is found using the formula:
.
Thus, the slope in A is
.
The slope in B is
.
Now, to compare 7/6 to 5/3, we can write the second fraction as 10/6.
So, the slope in A is larger than the slope in B.
Answer: A
The are of his backyard is 10.4 times 15.83 or 164.632 yd^2
the sod piecs are 1.33 by 1.33 or 1.78 yd^2
so divide 164.632 by 1.78 or
164.632/1.78=92.5 pieces of sod
if he is buying the sod in pieces, he will have to buy 93 pieces because he can't buy 1/2 sod
Answer:
3
Step-by-step explanation:
Drink mix ratio:
Lemonade : Orange : Cranberry
6 : 3 : C
Fraction of Cranberry juice = 
Sum of the ratio = 6 + 3 + C = 9 + C
Fraction of Cranberry;
=
3(9 + C) = 12C
27 + 3C = 12C
27 = 12C - 3C
9C = 27
C = 3
The missing number will be 3
Answer:
11
Step-by-step explanation:
The two equations appear to be ...
- 12x +4y = 152
- 32x +12y = 420
These can be solved for y using Cramer's rule:
y = (152(32) -420(12))/(4(32) -12(12)) = -176/-16 = 11
The cost of the vegetarian lunch is 11.
_____
<em>Comment on Cramer's Rule</em>
For equations ...
ax +by =c
dx +ey = f
The solutions are ...
x = (bf -ey)/(bd -ea)
y = (cd -fa)/(bd -ea) . . . . note the denominators are the same expression
Once you memorize the pattern of products, this can be the simplest way to solve a pair of equations--especially if you only need one of the variable values.
Answer:
cot∅ = (-2√30)/7.
Step-by-step explanation:
Given the value of csc∅ = -13/7 and ∅ is in quad III.
We know y = r sin∅ and r > 0. So csc∅ = r/y = -13/7 = 13/(-7).
It means y = -7, r = 13.
We know x² + y² = r².
x² = r² - y²
x² = (13)² - (-7)² = 169 - 49 = 120.
x = √120 = 2√30.
we know cot∅ = x/y = (2√30)/(-7) = (-2√30)/7.
Hence, cot∅ = (-2√30)/7.
