Answer:
Step-by-step explanation:
3*(4x - 3) = 63 Divide both sides by 3
4x - 3 = 63/3
4x - 3 = 21 Add 3 to both sides
4x = 21 + 3
4x = 24 Divide by 4 on both sides
4x/4 = 24/4
x = 6
Note: The perimeter is the sum of all three sides. One side is 4x - 3 All 3 sides must be 3*(4x - 3)
Answer:
No; the slopes of segment EF and segment DF are not opposite reciprocals.
Step-by-step explanation:
The slope between two points O(e, f) and X (g,h) is given as:
The slopes of segment EF and segment DF are given below:
For triangle DEF to be a right triangle, DF and EF are supposed to be perpendicular to each other. Two line are said to be perpendicular if the product of their slope is -1, i.e the slope of one line is the negative reciprocal (opposite reciprocal) of the other line.
Since the slope of DF and EF are not opposite reciprocals, ΔDEF is not a right triangle.
Answer: Your answer is -2 5/6
Step-by-step explanation:
Just convert the -2/3 to sixths. To do this, you multiply the denominator and numerator by 2 to make it equivalent to -2 1/6's denomenator (6). 2 times -2 is -4 and 3 times -2 is -6. This means -2/3 is equal to -4/6. As a result -2 1/6 - 4/6 is -2 5/6.
The answer
<span>the true answer is A) 4x^2+52x+165=320; x = 2.5
proof:
since </span><span>they want to limit its area to 320 in^2
x must be equal 2.5, because </span>4.(2.5)^2+52(2.5)+165= 25+130+165=320;
the main rule of the area of a triangle is
A= (base x height )/2
let be b the base and h the height
so h=20- 6b
so 50= b x( 20-6b) /2, implies 100/b = 20 - 6b
if b=x, we have 100= 20x -6x² this is equivalent to 6x² - 20x = -100
so the answer is
<span>D) None of the choices are correct.
</span>
<span>the largest dimensions that can be used for the fountain are
</span>
<span>B) x^2+8x+16=800
C) x^2+16=800
</span>
proof
x^2+8x+16=x^2+8x+4², 4² is the area of the square fountain, and x^2+8x should be the remaining of the area, t<span>he total space that the fountain and sidewalk can use is 800, it is less than 800 ft^2.
</span>Use the same method for. x^2+16=800
Answer:
51
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Define
z² + 3z - 3
z = 6
Step 2: Substitute and Evaluate
6² + 3(6) - 3
36 + 18 - 3
36 + 15
51
