Answer:
solution is (- 3, 5 )
Step-by-step explanation:
given the 2 equations
6x - y = - 23 → (1)
8x + 3y = - 9 → (2)
rearrange (1) expressing y in terms of x
y = 6x + 23 → (3)
Substitute y = 6x + 23 into (2)
8x + 3(6x + 23 ) = - 9
8x + 18x + 69 = - 9
26x + 69 = - 9 ( subtract 69 from both sides )
26x = - 78 ( divide both sides by 26 )
x = - 3
substitute x = - 3 into (3)
y = (6 × - 3 ) + 23 = - 18 + 23 = 5
solution is (- 3, 5 )
Answer: 408.2 ft^2
Step-by-step explanation:
A=2πrh+2πr2
A=2(3.14)(5)(8)+2(3.14)(5)^2
A=6.28*40+6.28*25
A=251.2+157
A=408.2 ft^2
Answer:
F; A translation of 6 up and 4 left and a reflection across the x-axis
Step-by-step explanation:
Here, we want to perform the translation that would move S to S’
to do this, we can have a subtraction
For 1 to move to -3 on the x-axis;
it means there is a leftward shift of upto 4 units
For -8 to turn to 2;
this is positive; there is a vertical upward translation of upto 10 units on the y-axis
This option is not directly available; thus we have to factor the reflection
if we reflect on the x-axis, the y-axis value becomes negated; if we reflect on the y-axis, the x-value becomes negated
The correct answer is thus;
A translation of 6 up and 4 left, followed by a reflection across the x-axis
Answer:
5.2 x 10^-2
Step-by-step explanation:
Scientific notation is used to simplify very large or very small numbers.
The formula for scientific notation is (a x 10^ n)
(a) is a number that is both greater than 1 and less than 10
(n) is the number of places the decimal place moves. This number can be positive or negative depending on the number you are converting. If the original number is greater than 1 (n) will be positive, and if the number is less than 1 (n) will be negative.
First you should write out the number.
0.052
Then, you should determine the number places the decimal point must move, and create a number greater than 1 and less than 10. (You should also pay attention to the direction the decimal point moves)
For this problem you will move the decimal place 2 places to the right to create the number 5.2.
Last, substitute the values into the formula. For this problem (a)= 5.2 and (n)= -2. This gives us the expression 5.2 x 10^-2.
Answer:
10: 12 units^2 11: 33 units^2
Step-by-step explanation:
10:
Divide into square and 2 triangles (for simplicity)
square=9
one triangle=3/2
both triangles combined=3
9+3=12
11:
divide into 2 triangles
top triangle: height= 4, base=6
bottom triangle: height= 7, base=6
top=12
bottom=21
Add, 33.
