Answer:
c = -6
d = 2
Step-by-step explanation:
After reflection about the x-axis:
A --> A'
(x,y) --> (x,-y)
(2,3) --> (2,-3)
(4,3) --> (4,-3)
(2,6) --> (2,-6)
After translation:
(2 + c, -6 + d) --> (-4, -4)
2+c = -4
c = -6
-6+d = -4
d = 2
Answer:
Step-by-step explanation:
Part A
Solve 4,500 ÷ 90. Enter your answer in the box.
Answer : 50
Part B
Select all the expressions that are equal to 4,500 ÷ 90.
A. 4,500 ÷ 9 tens ✔️
B. 450 ÷ 90 ❌
C. 450 ÷ 9 ❌
D. 4,500 ÷ 9 ❌
E. 4,500 ÷ 90 tens ❌
Answer:
B. 1296 m^3
Step-by-step explanation:
To find the volume of a square pyramid, multiply the base by itself twice, then divide the height by 3. After getting both answers, multiply the answers.
In this case, the base is 18.
The height is 12.
First, we must multiply the base by itself twice.
18⋅18 = 324.
Next, divide the height by 3.
12/3 = 4.
Now that we have both answers, we multiply them.
324 ⋅ 4 = 1,296.
Therefore, 1,296 cm^3 is the volume of the square pyramid.
Direct variation is a relation that has the form
y = kx
where k is the constant of proportionality.
If you are told that a relation is a direct proportion, and you are given one data point, you can find k. The you can write the equation of the direct relation.
Here is an example.
The price of gasoline follows a direct variation.
John bought 5 gallons of gas and paid $15.
a) Write an equation for the relation.
b) Using the relation you found, how much do 13.8 gallons cost?
Solution:
Since the relation is a direct variation, it follows the general equation of a direct variation:
y = kx
We are given one data point, 5 gallons cost $15.
We plug in 5 for x and 15 for y and we find k.
y = kx
15 = k * 5
k = 3
Now that we know that k = 3, we rewrite the relation using our value of k.
y = 3x
This is the answer to part a).
Part b)
We use our relation, y = 3x, and we plug in 13.8 into x and find y.
y = 3x
y = 3 * 13.8
y = 41.4
The price of 15 gallons of gas is $41.40.
Answer:
3%
Step-by-step explanation:
1kg = 1000g
30÷1000 × 100 = 0.03×100=3%