Answer:for ax^2+bx+c=0 the discriminant is b^2-4ac
there are 3 basic cases of what happens for different discriminants
1. if the discriminant is less than 0, then there are no real zeroes
2. if the discriminant is 0, then it has 1 zero
3. if the discriminant is greater than 0, it has 2 zeroes
so given
0=3x^2-7x+4
a=3,b=-7,c=4
thus the discriminant is (-7)^2-4(3)(4)=49-48=1
the discriminant is 1. 1 is positive, thus the equation has 2 zeroes because the discriminant is greater than 0
the answer is the equation has two zeroes because the discriminant is greater than 0
Step-by-step explanation:
Answer:
6x-21
Step-by-step explanation:
1) draw diagram (in image)
BD=2x-21+4x
combine Like terms
6x-21
The answer is y=34
Explanation:
Answer:
x=10
m=3
Step-by-step explanation:
The angles are the same since the sides are the same length (isosceles triangle)
55 = 5x+5
Subtract 5
55-5 =5x+5-5
50 = 5x
Divide by 5
50/5 = 5x/5
10=x
The altitude is a perpendicular bisector so
5m-3 = 2m+6
Subtract 2m from each side
5m-3-2m = 2m+6-2m
3m-3 = 6
Add 3 to each side
3m-3 +3 =6+3
3m =9
Divide by 3
3m/3 = 9/3
m =3
Answer:
The volume of the figure is 590.71 mm³
Step-by-step explanation:
To solve this problem we have to find the volume of the cylinder and the volume of the rectangular prism and add them
To calculate the volume of a cylinder we have to use the following formula:
v = volume
h = height = 3.65mm
π = 3.14
r = radius = 3.2mm
v = (π * r²) * h
we replace the unknowns with the values we know
v = (3.14 * (3.2mm)²) * 3.65mm
v = (3.14 * 10.24mm²) * 3.65mm
v = 32.1536² * 3.65mm
v = 117.36mm³
To calculate the volume of a rectangular prism we have to use the following formula:
v = volume
w = width = 14.23mm
l = length = 10.08mm
h = height = 3.3mm
v = w * h * l
we replace the values that we know
v = 14.23mm * 10.08mm * 3.3mm
v = 473.347mm³
we add the volumes
v = 117.36mm³ + 473.347mm³
v = 590.707
round to the neares hundredth
v = 590.707 mm³ = 590.71 mm³
The volume of the figure is 590.71 mm³
