Answer:
401
Step-by-step explanation:
1. Approach
To solve this problem, one first has to think about the given figure in a certain way. In the figure, one can see that it is a circle attached on either side of a rectangle. To find the perimeter of the figure, one has to find the circumference of the circle and then add two sides of the rectangle to the answer
2. Circumference of the circle
The formula to find the circumference of a circle is;
(pi) or 
(pi)
~ diameter times the value (pi)
Normally to find the circumference of a semicircle, one would have to divide this formula by 2, but since in this case, one has to add two congruent semicircles, so therefore, the effect of dividing the equation by two, only to multiply by two again cancels, and hence, there is no need to divide by 2.
Substitute in the values;
(78)(pi)
~ 245
3. Find the perimeter of the entire object
Now, one has to add the two additional sides of the figure, to the circumferences of the semicircles to get the final answer;
78 + 78 + 245
= 401
Given:
The equation is,
Explanation:
Simplify the equation by using logarthimic property.
Simplify further.
Solve the quadratic equation for x.
From the above equation (x - 6) = 0 or (x - 3) = 0.
For (x - 6) = 0,
For (x - 3) = 0,
The values of x from solving the equations are x = 3 and x = 6.
Substitute the values of x in the equation to check answers are valid or not.
For x = 3,
Equation satisfy for x = 3. So x = 3 is valid value of x.
For x = 6,
Equation satifies for x = 6.
Thus values of x for equation are x = 3 and x = 6.
Answer:
x³ - 3x² - 9x + 27
= x²(x - 3) - 9(x - 3)
= (x² - 9)(x - 3)
= (x -3)(x + 3)(x - 3)
= (x + 3)(x - 3)²
Step-by-step explanation:
Two equations will not have solution if they are parallel and have different y-intercepts. Parallel lines have the same slope. In a slope-intercept form, the equation of the line can be expressed as,
y = mx + b
where m is slope and b is the y-intercept.
Given: 3x - 4y = 2
Slope-intercept: y = 3x/4 - 1/2
A. 2y = 1.5x - 2
Slope-intercept: y = 3x/4 - 1
B. 2y = 1.5x - 1
Slope-intercept: y = 3x/4 - 1/2
C. 3x + 4y = 2
Slope-intercept: y = -3x/4 + 1/2
D. -4y + 3x = -2
Slope-intercept: y = 3x/4 + 1/2
Hence, the answers to this item are A and D.
9514 1404 393
Answer:
yes
Step-by-step explanation:
You can go at this a couple of ways:
1. The total length David needs is (1.75 m) × 4 = 7.00 m. His 7.28 m piece is long enough to provide the pieces he needs.
__
2. The length of each piece when the wood is cut into quarters is ...
(7.28 m)/4 = 1.82 m
This is longer than the 1.75 m needed, so each piece is long enough.
