Answer:
x = ± 4
y = - 2
Step-by-step explanation:
y = 0.5x² - 10 ------------------------(I)
y = -x² + 14 ------------------------(II)
Substitute the y value in equation (II)
0.5x² - 10 = -x² + 14 {Add x² to both sides}
0.5x² + x² -10 = 14 {combine like terms}
1.5x² - 10 = 14 {Add 10 to both sides}
1.5x² = 14 + 10
1.5x² = 24 {Divide both sides by 1.5}
1.5x²/1.5 = 24/1.5
x² = 16
x = ±4
Substitute x = 4 in (I)
y = 0.5 * 4² - 10
= 0.5*16 - 10
= 8- 10
y = -2
Substitute x = -4 in (I)
y = 0.5 * (-4)² - 10
= 0.5*16 - 10
= 8- 10
y = -2
Answer:
d or 4x²-12x-9
Step-by-step explanation:
factoring d you get (2x-3)²
which is a perfect square trinomial so
d or 4x²-12x-9
Answer:
The answer should be A'(-9,3) B'(12,-6)
Step-by-step explanation:
If you dialate, you multiply every coordinate by 3. -3 x 3= -9. 1 x 3=3. 4 x 3= 12. -2 x 3= -6. So, the last option is correct.
Answer:
The distance between the two points is 7 units
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
we have
(2, -3) and (2,4)
substitute the values in the formula
Answer:
22
Step-by-step explanation:
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