Answer:
Whoaaaa a picture would explain more than jus words
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
given the 2 equations
y = x² - 2x - 19 → (1)
y + 4x = 5 → (2)
substitute y = x² - 2x - 19 into (2)
x² - 2x - 19 + 4x = 5 ( subtract 5 from both sides )
x² + 2x - 24 = 0 ← in standard form
(x + 6)(x - 4) = 0 ← in factored form
equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 4 = 0 ⇒ x = 4
substitute each value of x into (1) for corresponding y- coordinate
x = - 6 : y = (- 6)² - 2(- 6) - 19 = 36 + 12 - 19 = 29 ⇒ (- 6, 29)
x = 4 : y = 4² - 2(4) - 19 = 16 - 8 - 19 = - 11 ⇒ (4, - 11)
the solutions are (- 6, 29), (4, - 11)
Answer:
Step-by-step explanation:
2 fractions with the numerator and different denominators can be compared when you find the lowest common denominators (LCD. For example 1/2 and 1/3 have the same numerator, but the denominators are not so you have to find the LCD. The LCD, in this case, is 6, so the fractions would be 3/6 and 2/6 and now if you compare you can tell that 3/6 is greater than 2/6 so 1/2 is greater than 1/3.
13+3k=11
-Move constant to the right-hand side and change its sign
3k=11-13
Calculate the difference
3k=-2
Divide both sides by 3
K= -2/3
To find how much she can run in one minute we’re going to divide 800 by 5, to which we get 160.
She runs 160 meters in one minute.
We want to know how many meters she can run in 9 minutes.
160 * 9 = 1,440
She can run 1,440 meters in 9 minutes.
