Answer:
No
Step-by-step explanation:
To find out if (4,10) is a solution to the system, we plug in the values of x and y into each equation.
1:
2:
As you can see, (4,10) only satisfies ONE equation, not both. Therefore, the answer is no, it's not a solution.
Answer:
B/second option
Step-by-step explanation:
The first option is wrong because you make 30 meatballs in 30 mins but then 30 meatballs in 20 mins. If it was constant then in 20 mins you make less meatballs.
The last option is wrong because if bacteria triples, then that is exponential, not constant change.
Only the middle option makes sense. The rate of change is $35 for each hour!
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Answer:
x=1, y=6. (1, 6).
Step-by-step explanation:
-8x+4y=16
y=5x+1
----------------
-8x+4(5x+1)=16
-8x+20x+4=16
12x+4=16
12x=16-4
12x=12
x=12/12
x=1
y=5(1)+1=5+1=6
Answer:
6√3 ±3 ≈ {7.392, 13.392}
Step-by-step explanation:
The length of AB is the long side of a right triangle with hypotenuse CD and short side (AC -BD). The desired radius values will be half the length of EF, with AE added or subtracted.
__
<h3>length of AB</h3>
Radii AC and BD are perpendicular to the points of tangency at A and B. They differ in length by AC -BD = 12 -9 = 3 units.
A right triangle can be drawn as in the attached figure, where it is shaded and labeled with vertices A, B, C. Its long leg (AB in the attachment) is the long leg of the right triangle with hypotenuse 21 and short leg 3. The length of that leg is found from the Pythagorean theorem to be ...
AB = √(21² -3²) = √432 = 12√3
<h3>tangent circle radii</h3>
This is the same as the distance EF. Half this length, 6√3, is the distance from the midpoint of EF to E or F. The radii of the tangent circles to circles E and F will be (EF/2 ±3). Those values are ...
6√3 ±3 ≈ {7.392, 13.392}