Answer:
x = -1
Step-by-step explanation:
because both lines intersects at -1.
Answer:
Triangle DEF is not a right triangle ; possible lengths are 20 & 15
Step-by-step explanation:
For right triangle;
the sum of the square of the two adjacent sides must equal the square of the hypotenus.
Therefore, (6^2)+(11^2)≠(13^2).
the possible length are 20 & 15 because
(20^2)+(15^2)=(25^2)
Answer:
Width = 2
Length = 5
Step-by-step explanation:
let A be the area of the rectangle
L be the length of the rectangle
w be the width of the rectangle
<u><em>Formula</em></u>: ‘<u><em>area of a rectangle</em></u>’
A = L × w
…………………………………………………
A = L × w
⇔ 10 = (w + 3) × w
⇔ 10 = w² + 3w
⇔ w² + 3w - 10 = 0
<u><em>Solving the quadratic equation</em></u> w² + 3w - 10 = 0 :
Δ = 3² - 4(1)(-10) = 9 - (-40) = 9 + 40 = 49
then √Δ = 7
-5 is not valid ,because w represents the width
which must be a positive number
Then w = 2
<u><em>Conclusion</em></u>:
Width = 2
Length = 2 + 3 = 5
Answer:
C. 95%
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 1189 points, standard deviation of 397 points.
Percentage between 395 and 1983 points?
395 = 1189 - 2*397
1983 = 1189 + 2*397
So within 2 standard deviations of the mean, which by the Empirical Rule is approximately 95%, and the answer is option C.
Answer:
B. Brand A $0.21
Step-by-step explanation:
(round to nearest cent)
Brand A: 21.99/105 = .2094 = .21 ( .2094 rounds to .21)
Brand B: 17.99/80 = .2248 = .22 ( .2248 rounds to .22)
Therefore Brand A is a better buy for $0.21 per load
