Answer:
Ratio = 3 : 2 and value of m = 5.
Step-by-step explanation:
We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.
Let us assume that it cuts the line in k : 1 ratio.
Then, the co-ordinates of P = 
.
But, 
= -6
i.e. -8k-3 = -6k-6
i.e. -2k = -3
i.e. 
So, the ratio is k : 1 i.e 
i.e. 3 : 2.
Hence, the ratio in which P divides the line is 3 : 2.
Also, 
= m where
i.e. m = 
i.e. m = 
i.e. m = 
i.e. m = 5.
Hence, the value of m is 5.
Answer attached, but more letters needed
Total height of the cake and the candles is 17.1 cm
Step-by-step explanation:
- Step 1: Convert the mixed fractions into decimal expressions.
11 7/10 cm = 117/10 = 11.7 cm
5 4/10 cm = 54/10 = 5.4 cm
- Step 2: Find total height of the cake and the candles
Total height = 11.7 + 5.4 = 17.1 cm
Answer:
(1): "*-5x2y" was replaced by "*(-5x2y)".
(2): "x2" was replaced by "x^2". 1 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
(3x • (y2)) • (0 - (5x2 • y))
STEP
2
:
Equation at the end of step
2
:
3xy2 • -5x2y
STEP
3
:
Multiplying exponential expressions :
3.1 x1 multiplied by x2 = x(1 + 2) = x3
Multiplying exponential expressions :
3.2 y2 multiplied by y1 = y(2 + 1) = y3
I believe the answer is ( -3•5x3y3)
Answer: 2/3
Step-by-step explanation:
14 is 2/3 of 21 so 2/3 cup per loaf
