Answer:
f(x)=500+60x
So, B.
Step-by-step explanation:
Opening balance =500
Deposits= 60__ monthly
Write as a function
Represent the number of months with x and the balance at any month with f(x)
f(x) is calculated as thus:
Opening Balance + Deposits * Number of Months
So, we have:
f(x)=500+60*x
So, f(x) = 500+60x
Answer:
y=0.79x+27
Step-by-step explanation:
y is total cost and 0.79is per mile cost last is 27
so is y=0.79x+27
It seems there are always three pairs: SSS, side side side; SAS, side angle side; ASA, angle side angle.
For a right triangle (HL, LL) it seems there are only two items needed, but that's because we already know one angle (it's right).
Once we have congruent triangles, all the corresponding parts are congruent. That's three sides and and three vertices, so I'd answer six. Of course almost everything about the triangles is the same, the area, the perimeter, etc.
Answer:
There are 276 Children and 295 adults.
Step-by-step explanation:
Suppose x be the children and y be the adults as total people are 571 that have used the pool so we can write an equation as
x+y=571 (Equation 1)
and as per child $1.25 is the cost and $2.25 for every adult and collectively admissions totaled as $1008.75 so we can write the equation as
1.25x+2.25y=1008.75 (Equation 2)
Extracting the value of y from equation 1
y=571-x (Equation 3)
Putting the value of y from equation 3 into equation 2
1.25x+2.25(571-x)=1008.75
1.25x+1284.75-2.25x=1008.75
1.25x-2.25x=1008.75-1284.75
-x=-276
Cancellation of negative signs on both sides
x=276
Putting the value of x in equation 3 to get the value of y
y=571-276
y=295
[x,y]=[276,295]
Answer:
- Dilation
- Reflection
- Translation
- Rotation
- Reflection
- Translation
Step-by-step explanation:
<em>Dilation</em>
Dilation multiplies the distance from a point to the center of dilation by the dilation factor. It does this for every point.
The center of dilation itself has zero distance from the center of dilation. Multiplying that by the dilation factor still gives zero, so the point that is the center of dilation remains unchanged.
<em>Reflection</em>
Reflection mirrors a point across some line. Each point ends up the same distance on the other side of the line that it was originally from the line.
The segment joining a point with its reflection is perpendicular to the line, so the line of reflection is the perpendicular bisector of the segment joining any point with its image.
<em>Rotation</em>
The angle defined by a point, the center of rotation, and the point's image is the angle of rotation. It is the same for every point.
The center of rotation doesn't go anywhere; it is "invariant".
<em>Translation</em>
Moving an image without changing its size or orientation is translation. Every point moves the same distance in the same direction, so any lines in the original figure have the same length and orientation in the translated figure: they are parallel.