Answer:
Step-by-step explanation:
<u>Given quadratic function:</u>
<u>Points on the graph:</u>
- (-2,-35), (1,-5), (3,- 15)
<u>Substitute values of x and y and solve the system of equations:</u>
- -35 = a(-2)² + b(-2) + c ⇒ -35 = 4a - 2b + c ⇔ eq 1
- -5 = a(1)² + b(1) + c ⇒ -5 = a + b + c ⇔ eq 2
- -15 = a(3)² + b(3) + c ⇒ -15 = 9a + 3b + c ⇔ eq 3
<u>Subtract eq 2 from eq 1:</u>
- -35 - (-5) = 4a - 2b + c - a - b - c
- -30 = 3a - 3b
- b = a + 10 ⇔ eq 4
<u>Subtract eq 2 from eq 3:</u>
- -15 - (-5) = 9a + 3b + c - a - b - c
- -10 = 8a + 2b
- b = -4a - 5 ⇔ eq 5
<u>Compare eq 4 and eq 5, solve for a:</u>
- a + 10 = -4a - 5
- a + 4a = -5 - 10
- 5a = -15
- a = -3
<u>Find the value of b using eq 4:</u>
<u>Find the value of c using eq 2:</u>
- -5 = -3 + 7 + c
- c = -5 - 4
- c = -9
<u>We now have a, b and c:, the function is:</u>
Answer:
Yes, 3, 12, 13 is a right triangle
Step-by-step explanation:
plss mark me brainliest :)
Answer:
1/81
Step-by-step explanation:
The larger value is 9 x 10^9
The smaller value is 3 x 10^(-4)
Divide the larger over the smaller
Doing so will have you divide the coefficients 9 and 3 (numbers in front of the "times ten to the..." portions) to get 9/3 = 3.
Then you'll also subtract the exponents: 9 minus (-4) = 9 - (-4) = 9 + 4 = 13
In summary so far, we got a coefficient of 3 and an exponent of 13
So the final answer is 3 x 10^13 (assuming you want scientific notation)
If you want to convert to standard notation, instead of scientific notation, move the decimal point in 3.0 thirteen spots to the right to get
30,000,000,000,000
there are 13 zeros (four groups of 3 plus one just after the 3) in that value above. This is the number 30 trillion
Answer: 9-2 & -2-(-9)
Correct me if I'm wrong.
Step-by-step explanation:
