Answer:
x=3
Step-by-step explanation:
BC=6
cos(60)=×÷6
×=3
Answer:
( 2,1) is the center of dilation and -2 is the scale factor
Step-by-step explanation:
We can use the formula
A' = k( x-a) +a, k( y-b)+b where ( a,b) is the center of dilation and k is the scale factor
(0,0) becomes (6,3)
( 6,3) = k( 0-a) +a, k( 0-b)+b
6 = -ka+a
3 = -kb+b
We also have
(4,0) becomes (-2,3)
( -2,3) = k( 4-a) +a, k( 0-b)+b
-2 =4k -ka+a
3 = -kb+b
Using these two equations
6 = -ka+a
-2 =4k -ka+a
Subtracting the top from the bottom
-2 =4k -ka+a
-6 = ka -a
-------------------
-8 = 4k
Divide by 4
-8/4 = 4k/4
-2 = k
Now solving for a
6 = -ka +a
6 = - (-2)a +a
6 = 2a+a
6 = 3a
Divide by 3
6/3 =3a/3
2=a
Now finding b
3 = -kb+b
3 = -(-2)b+b
3 = 2b+b
3 = 3b
b=1
It would be 4 tulips planted
Answer:
A. Y-68=-5(x-14)
Step-by-step explanation:
Mary is spending money at the average rate of $5 per day. After 14 days she has $68 left. The amount left depends on the number of days that have passed. write an equation for the situation
We find the equation using the point slope equation of a line. This is given as:
y - y1 = m(x-x1)
The slope intercept form will be
y = -5x + b
since the amount decreases by $5 per day...
Our slope is -5 so m=-5
We have a point (x1,y1) = (14, 68)
Hence, we have:
y-68 = -5(x-14)
Option A is correct
x+y≤30 and 2.50x+2.75y≥44 are the inequalities that model given situation.
Step-by-step explanation:
Given,
Number of banana breads and nut breads to bake = at most 30
At most 30 means the amount cannot exceed 30.
Selling price of each banana bread = $2.50
Selling price of each nut bread = $2.75
Amount to make = $44 at least
At least 44 means that the amount cannot be less than 44.
Let,
x represent the number of loaves of banana bread to be sold
y represent the number of loaves of nut bread to be sold
x+y≤30
2.50x+2.75y≥44
x+y≤30 and 2.50x+2.75y≥44 are the inequalities that model given situation.
Keywords: linear inequalities, addition
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