9514 1404 393
Answer:
x in {-6, -2, 4}
Step-by-step explanation:
The zero product rule tells you that a product will be zero if and only if one of the factors is zero. These binomial factors are zero when x has a value that is opposite the constant of the binomial.
x +6 = 0 ⇒ x = -6
x -4 = 0 ⇒ x = 4
x +2 = 0 ⇒ x = -2
The zeros of the function are the x-values -6, -2, and 4.
Answer:
448
Step-by-step explanation:
This is a proportion question. Keep the heights on one side of the proportion and the shadow length on the other.
height ratio shadow ratio
40 cm / x = 25 / 280 Cross multiply
25x = 40 * 280 Combine
25x = 11200 Divide by 25
x = 11200/25
x = 448 cm
The height of the corn plant is 448 cm
3 + 2 = 4 + 1 is true
1 +2 = 3 + 3 and 0 + 3 = 3+1 is not true
Answer:
![[p-|p|*10^{-3} \, , \, p+|p|* 10^-3]](https://tex.z-dn.net/?f=%5Bp-%7Cp%7C%2A10%5E%7B-3%7D%20%5C%2C%20%2C%20%5C%2C%20p%2B%7Cp%7C%2A%2010%5E-3%5D)
Step-by-step explanation
The relative error is the absolute error divided by the absolute value of p. for an approximation p*, the relative error is
r = |p*-p|/|p|
we want r to be at most 10⁻³, thus
|p*-p|/|p| ≤ 10⁻³
|p*-p| ≤ |p|* 10⁻³
therefore, p*-p should lie in the interval [ - |p| * 10⁻³ , |p| * 10⁻³ ], and as a consecuence, p* should be in the interval [p - |p| * 10⁻³ , p + |p| * 10⁻³ ]
Answer:
a.
b.

Step-by-step explanation:
a. We know that angles in a triangle add up to 180°.
-The right angle triangle in the right triangle has a measure of 90°.
We can therefore equate our angles to 180° and solve for x;

Hence, the angle measure is x=10°
b. Having calculated the value of x from a above as x=10°, we can substitute to find the measures of the two acute angles:

Since, the m∠K is a right angle, it measures 90°