Answer:
d. place an ice pack
Step-by-step explanation:
Transformation that changes the size of a shape is referred to as dilation.
- The scale factor that moves the large triangle to the small one is 1/5
- The center of dilation is: (-1,1)
<u>The center of dilation</u>
From the diagram (see attachment), the triangles share a common vertex at (-1,1)
This means that, the center of dilation is (-1,1)
<u>The scale factor of dilation</u>
To do this, we divide the side length of the small triangle with the corresponding side of the large triangle.
From the attached image:
So, the scale factor (k) from large to small is:
Read more about dilation at:
brainly.com/question/13176891
Answer:
$1.25
Step-by-step explanation:
This can best be determined using a set of linear equations that are solved simultaneously.
This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations.
Let the cost of a cookie be c, cost of a doughnut be d and that of a box of doughnut hole be h then if cost of 4 cookies, 6 doughnuts, and 3 boxes of doughnut holes is $8.15, we have
4a + 6d + 3h = 8.15
and the cost of 2 cookies, 3 doughnuts, and 4 boxes of doughnuts holes is $7.20 then
2a + 3d + 4h = 7.20
Dividing the first by 2
2a + 3d + 1.5h = 4.075
subtracting from the second equation
2.5h = 3.125
h = 1.25
The cost of a box of doughnut holes is $1.25
Answer:
Step-by-step explanation:
50.
line AB that has the points (2,5) and (9,2) hhas the slope
m= (y2-y1) / (x2-x1)= 5-2 / 2-9 = 3/-7 = -3/7
Parallel line have the same slope so m= -3/7 for the line that has the point (-3,4).
Point-slope equation is y-y1 = m (x-x1), y -4 = -3/4 (x+3) or
you can writte it as y= (-3/4)x - 9/4 +16/4 so y = (-3/4)x + 7/4
51.
line PQ has slope m= -6+1 / 4-6 = -5/-2 = 5/2
Perpendicular lines have their slope negative reciprocal of eachother so the line that goes trough the point (1,3) has the slope m= -2/5
y-3 = -2/5 (x-1)
Answer: $4,331
Step-by-step explanation:
I will assume that the question meant 5.2% not 52% as this is quite excessive.
Katherine after 13 years.
Convert the variables;
n = 13 years = 13 * 365 = 4,745 days
r = 5.2% = 5.2/365 = 5.2/365%
Future value = P * ( 1 + r)^n
= 86,000 * (1 + 5.2/365%)⁴⁷⁴⁵
= $169,068
Michael after 13 years;
If compounded continuously, the formula is;
Future value = Pe^rt
= 86,000 * e⁰.⁰⁵ ˣ ¹³
= $164,737
Difference = 169,068 - 164,737
= $4,331
