The yellow pins show as 85% of the total number of pins that Collin ordered
Answer:
x = 7
Step-by-step explanation:
if ABC ~ DEF than AB ~ ED, AC ~ DF, and CB ~ FE
The ratio of AB to ED is given as 5/30 = 1/6
For AC ~ ED the ratio would be same x/42 = 1/6 cross multiply it
6x = 42
x = 7
Answer:
Reflection, Translation, and possibly Rotation
=Y2-10Y
We move all terms to the left:
-(Y2-10Y)=0
We add all the numbers together, and all the variables
-(+Y^2-10Y)=0
We get rid of parentheses
-Y^2+10Y=0
We add all the numbers together, and all the variables
-1Y^2+10Y=0
a = -1; b = 10; c = 0;
Δ = b2-4ac
Δ = 102-4·(-1)·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
Y1=−b−Δ√2aY2=−b+Δ√2a
Δ‾‾√=100‾‾‾‾√=10
Y1=−b−Δ√2a=−(10)−102∗−1=−20−2=+10
Y2=−b+Δ√2a=−(10)+102∗−1=0−2=0
Answer:
Yes, vectors u and v are equal.
Step-by-step explanation:
We need to check whether vectors u and v are equal or not.
If the initial point is
and terminal point is
, then the vector is

Vector v with an initial point of (-5,22) and a terminal point of (20,60).

..... (1)
Vector u with an initial point of (50,120) and a terminal point of (75,158).

.... (2)
From (1) and (2) we get

Therefore, vectors u and v are equal.