Answer:
B. (x-4)^2 + (y - 3)^2 = 5^2
Step-by-step explanation:
The equation for a circle is given by
(x-h)^2 + (y-k) ^2 = r^2
where (h,k) is the center and r is the radius
We have a center of (4,3) and a radius of 5
(x-4)^2 + (y-3) ^2 = 5^2
Answer:
g/cm²
Step-by-step explanation:
First, we need to find the volume of the prism. The volume of a square pyramid is V = Bh/3
B = 100 cm²
h = 6 cm
V = 100 cm² * 6 cm /3
V = 600 cm³ /3
V = 200 cm³
Next, we need to solve for the density based on the desired volume and mass.
m = mass = 300 g
V = volume
density = m/V
density = 300 g / 200 cm³
density = 3/2 g/cm³
The lowest possible density of the material to make the paperweight would be g/cm²
2)
2*120 + 2*3.14*40 = 240 + 251.2 = 491.2;
Answer:
(0,0) or Infinitely many solutions.
Step-by-step explanation:
-−4x−4y=0
−4x−4y+4y=0+4y(Add 4y to both sides)
−4x=4y
−4x/-4= 4y/-4
(Divide both sides by -4)
x=−y
4x+4y=0
4(−y)+4y=0
0=0
The gallons of the first brand of antifreeze should be 60 gallons.
The gallons of the second brand of antifreeze should be 90 gallons.
<h3>What are the linear equations that represent the question?</h3>
0.2f + 0.45s = 52.50 (0.35 x 150) equation 1
f + s = 150 equation 2
Where:
- f = gallons of the first antifreeze
- s = gallons of the second antifreeze
how many gallons of each brand of antifreeze must be used?
Multiply equation 2 by 0.2
0.2f + 0.2s = 30 equation 3
Subtract equation 3 from equation 2
0.25s = 22.50
s = 22.50 / 0.25
s = 90
f = 150 - 90 = 60 gallons
To learn more about linear functions, please check: brainly.com/question/26434260
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