Triangle - Find Value of X

Mathematics

1 answer:

ira [324]4 years ago

4 0

Answer:

This is an isosceles triangle. You should know that in an isosceles triangle, 2 sides are the same if the opposite side lengths are the same. So 4x-2=62. Then add 2 to both sides to get 4x=64, and finally divide by 4 to get the answer of 16. x=16

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Find the coordinates of the three points on the graph of y = (1/2)x² -2x whose x-values are −2, 0, and 4.

MaRussiya [10]

Answer:

y = 6

y = 0

Step-by-step explanation:

$y=\frac{1}{2}x² -2x$

When, x = -2

$y=\frac{1}{2}\times (-2)^2-2\times(-2)\\\Rightarrow y=\frac{1}{2}4+4\\\Rightarrow y=2+4\\\Rightarrow y=6$

y = 6

When, x = 0

$y=\frac{1}{2}\times (0)^2-2\times(0)\\\Rightarrow y=0+0\\\Rightarrow y=0$

y = 0

When, x = 4

$y=\frac{1}{2}\times (4)^2-2\times(4)\\\Rightarrow y=\frac{1}{2}16-8\\\Rightarrow y=8-8\\\Rightarrow y=0$

y = 0

3 0

3 years ago

TotCo is developing a new deluxe baby bassinet. If the length of a newborn baby is normally distributed with a mean of 50 cm and

slavikrds [6]

Answer:

91.63 cm is the interior length of the bassinet to ensure that 99 percent of newborn babies will fit, with a safety margin of 15 cm on each end of the bassinet.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50 cm

Standard Deviation, σ = 5 cm

We are given that the distribution of length of a newborn baby is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$