In this problem, we need to solve for the measurement of the width of the rectangular prism on which the formula is Volume = length * width * height. Ther are given values such as length = 3.2 inches, height = 9.6 inches and volume = 138.24 cubic inches. Solving for the width, we have shown it below:
Volume = length * width * height
138.24 = 3.2 * width * 9.6
138.24 / (3.2*9.6) = width
4.5 inches = width
The answer is 4.5 inches for the width of the rectangular prism.
Answer:
DA = 25
Step-by-step explanation:
Given that,
→ ABC = ADC ==> (1)
→ BA = 25 ==> (2)
From the given (1) and (2),
→ BA = DA
→ BA = 25
→ [ DA = 25 ]
Hence, the answer is 25.
k = 1.33 or 1 1/3
Formula of Direct variation. Where y is equal to the product of the constant of variation times x.
y = kx
16 = k * 12
k = 16/12
k = 1 4/12 = 1 1/3
Constant of variation is 1 1/3 or 1.33.
Answer:
y= -2x²+4x.
Step-by-step explanation:
the common equation of the parabola is y=ax²+bx+c, where a, b, c - numbers.
1) the coordinates of the vertex are:
2) if according to the condition x₀=1, then b= -2a.
If according to the condition y₀=2, then 
it means that c=a+2.
3) if b= -2a; c=a+2 and the point (3;-6) belongs to the given parabola, then it is possible to substitute them into the common equation of the parabola:
-6=3²*a-6a+a+2; ⇔ a= -2.
4) if a= -2, then b=-2a=4, and c=a+2=0.
5) if a=-2, b=4 and c=0, then the required equation of the parabola is:
y= -2x²+4x.
The amswer is -24, just gotta do division and subtration
