First you must distribute the 1/4 to get
: 1/2x^2-3=15
then you have to add three to both sides so it become
: 1/2x^2=18
then divide by 1/2 to get
:x^2 =36
then take the square root to get a final answer of
:x=6
Answer:
Step-by-step explanation:
2a-7+15-5a
2a-5a-7+15
-3a+8
Answer:
A whole number
Step-by-step explanation:
An integer is a whole number like 1, 2, 3. It could also be -1, -2, -3, or 0. 9.4 is not an integer. 10 is an integer.
Slope intercept form is y=mx+b
to solve for m (slope) you must first subtract y2-y1 and x2-x1 then divide your answers
-1 - -5 = 4 (y)
2 - 4 = -2 (x)
4/-2 = -2
so your slope is -2
next plug in your slope and the point you choose
-1 = -2(2) + b
or
-5 = -2(5) +b
Answer:
The cup can hold 497.17 in³ of liquid.
Step-by-step explanation:
The shape of the glass can be divided in two figures, the first one is a cilinder with radius 5 in and height 3 in, while the second is a half sphere with radius 5 in. Therefore in order to calculate the volume of liquid the glass can hold we need to calculate the volume of each of these and sum them.
Vcilinder = pi*r²*h = 3.14*5²*3 = 235.5 in³
Vhalfsphere = (2*pi*r³)/3 = (2*3.14*5³)/3 = 261.67 in³
Vcup = Vcilinder + Vhalfsphere = 235.5 + 261.67 = 497.17 in³
The cup can hold 497.17 in³ of liquid.
