5x^2= x^2+64
-x^2= -x^2
4X^2= 64
Divide by 4
X^2= 16
X= positive 4 and negative 4
Answer:
if you put 4.25 on a number line then the OPPOSITE of that would be going across the 0 on the number line so the answer -4.25
Step-by-step explanation:
if the number is negative its opposite is that number but positive and the same thing if the number is positive its opposite is a negative
Answer:
A = 90°
B = 37°
C = 53°
Step-by-step explanation:
Given three sides of a triangle, the Law of Cosines can be used to find the angles.
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For angle A (the largest), we can use ...
a² = b² +c² -2bc·cos(A)
Solving for A, we get ...
A = arccos((b² +c² -a²)/(2bc)) = arccos((3² +4² -5²)/(2·3·4)) = arccos(0)
A = 90°
We can use a similar equation for angle B:
B = arccos((a² +c² -b²)/(2ac)) = arccos((25 +16 -9)/(2·5.4)) = arccos(4/5)
B ≈ 37°
The sum of angles is 180°, so ...
C = 180° -90° -37°
C = 53°
Answer:
x = 2
Step-by-step explanation:
h(x) = f(x) + g(x) = x³ + 2x² + 1 - x³ - x² - 4x + 4 ← collect like terms, thus
h(x) = f(x) + g(x) = x² - 4x + 5
Given
h(x) = 1, then
x² - 4x + 5 = 1 ( subtract 1 from both sides )
x² - 4x + 4 = 0 ← in standard form
(x - 2)² = 0 ← in factored form ( perfect square ), thus
x - 2 = 0 ⇒ x = 2
Answer:
D) 4
Step-by-step explanation:
4/3 divided by 1/3
4/3 * 3/1= 4