3 years ago

What is the length of the segment with endpoints of (-3,4) and (5,4)?

Mathematics

1 answer:

jekas [21]3 years ago

7 0

Answer:

8 units.

Step-by-step explanation : We are asked to find the length of the segment with endpoints (-3,4) and (5,4).

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The rectangle shown has a perimeter of 156 cm and the given area. Its length is 6 more than five times its width.

Stells [14]

P=156 cm
l=6+5w
P=2(l+w)
156=2(6+5w+w)
156=2(6+6w)
156=12+12w
12+12w=156
12w=156-12
12w=144
w=12cm

l=6+5•12
l=6+60
l=66cm

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3 years ago

Cara is a high school student. On average, there are 26 students per class at her school, with a standard deviation of 3 student

aliina [53]

Answer:

B. 97%

Step-by-step explanation:

20 students is -2 standard deviations away from the mean

35 is +3 standard deviations away from the mean

100 - 2.4 = 97.6

(2.4 is amount of data we are not using)

please refer to the standard deviation graph attached :)

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2 years ago

For what value(s) of k is the linear system consistent? (Enter your answers as a comma-separated list.)

AleksAgata [21]

Answer:

Step-by-step explanation:

Given

$6x_1-9x_2=8$

$9x_1+kx_2=-1$

The given system is $AX=B$ can be represented by

$\begin{bmatrix}6 &-9 \\ 9 & k\end{bmatrix}\begin{bmatrix}x_1\\ x_2\end{bmatrix}=\begin{bmatrix}8\\ -1\end{bmatrix}$

The given system is consistent when determinant of A is not equal to zero

$|A|$

$|A|=6k-(-81)=6k+81$

$k\neq \frac{-27}{2}$

i.e. system is consistent for all value of k except $k=\frac{-27}{2}$

$R-\frac{-27}{2}$

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3 years ago

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What is 5/14 simplified ? Need answer ASAP.

iogann1982 [59]

Answer:

5/14

Step-by-step explanation:

5/14 is the simplified form.

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Kittens weigh about 100 grams when born and gain 7 to 15 grams per day.If a kitten weighed 100 grams at birth and gained 8 grams

natka813 [3]

100 + 8d = 300; d = 25; The kitten will triple its weight in 25 days

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