Answer: C
Step-by-step explanation:
The red graph is the result of reflecting the graph of y=f(x) across the x-axis and then translating 1 unit to the right.
Answer:
Fraction is
Step-by-step explanation:
Let x be the number of Matt's pen
and y be the number of Sarah's pen
4/5 of Sarah's pen (y) = 1/3 of Matt's pen (x)
So equation becomes
Solve for y
Multiply both sides by 5/4
Total number of Matt's and Sarah's pen = x+y
Total number of pens =
Take LCD 12
Now add the numerators
To express the number of Matts pens as a fraction
We divide the number of Matt's pen 'x' by the total number of pens
we cancel out x at the top and bottom
Take reciprocal of 17/12 and multiply with top 1
So answer is 12/ 17
Answer:
When the dimensions of the shape, such as radius, height, or length change, both surface area and volume also change. However, the volume of the object always changes more than the surface area for the same change in dimensions.
Answer:
48 cm
Step-by-step explanation:
Given:
Distance of rod from the wall = 45 cm
Distance of rod from the light = 15 cm
Length of rod = 12 cm
We can see that <DAM and <BAF are equal
Also, <DMA and <BFM are equal because they are corresponding angles
To find the length of the shadow, let's take the equation
Where.:
DM = ½ of length of the rod = ½*12 = 6
A.F = 15 + 45 = 60 cm
AM = 15 cm
Therefore,
Cross multiplying, we have:
15 * B.F = 60 * 6
15 * B.F = 360
BF = 24 cm
The shadow on the wall =
2 * BF
= 2 * 24
= 48 cm
The shadow on the wall is 48 cm
Answer:4
Step-by-step explanation: First u - 2x from both sides to get x by it self.
leaving u with x+8
Next u divide both sides by 2 giving u the answer 4