Answer:
a vertical shift of 6 units up
Step-by-step explanation:
We have the transformation:
g(x) = f(x) + k
This is what we call a vertical shift, this transformation moves the graph of f(x) k units, and the motion is upwards if k is positive, and downwards if k is negative.
Here we can see that the graph of f(x) intersects the y-axis at y = -2
While the graph of g(x) intersects the y-axis at y = 4.
Then the distance between these two points is:
4 - (-2) = 6
This means that the graph of g(x) is 6 units above the graph of f(x)
Then we have that k must be equal to 6, then the transformation is:
g(x) = f(x) + 6
This is a vertical shift of 6 units up.
Answer: 2.325 meters
Step-by-step explanation:
The roof of a lean-to-garden shed has a gradient of 0.35.find the height....they have given the base as 1.5m and a shorter height 1.8m its like a house
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It sounds like you have a right triangle with base = 1.5,
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Use a proportion to get:
(height of that triangle)/1.5 = 35/100
height of that triangle = 1.5*0.35 = 0.5250
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greater height of the lean-to = 1.8 + 0.5250 = 2.325 meters
Answer:
Explanation:
Factor out 3
Cancel out the common factor 3
Answer: $103
Explanation:
Stores will markup an item to make a profit so this question is asking how much they will be selling the shoes to the customer.
To solve this problem we will start by multiplying the price the store payed for (55.25) by the percentage in decimal form (.87)
55.25•0.87=48.0675
We then add the markup to the price payed for the shoes.
55.25+48.0675=103.3175
When rounding to the nearest dollar we look at the digit in the tens place (3) and since 3 is < 5 we round the final price to $103
21*x= 7
Trying to find x
21*x= 21x
21x= 7
divide by 21 for both sides
21/21x= 7/21
cross out 21 and 21, divide by 21 . Then 1*1*x= x
x= 1/3
Answer : 21*1/3= 7
