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3 years ago

Identify the slope and the y-intercept of the following: g(x)=-3/2x + 4

Mathematics

1 answer:

nexus9112 [7]3 years ago

5 0

Answer:

x = 6

Step-by-step explanation:

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The perimeter of the rectangle is 28 units.

riadik2000 [5.3K]

Answer:

7 units

Step-by-step explanation:

7 0

2 years ago

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What is the area of a triangle whose vertices are D(3,3), E(3,-1), and F(-2,-5)?

Elis [28]

There is a formula which employs the use of determinants and which helps us calculate the area of a triangle if the vertices are given as $(x_1,y_1),(x_2,y_2),(x_3,y_3)$ . The formula is as shown below:

Area= $\frac{1}{2}\begin{vmatrix}x_1&y_1&1 \\ x_2&y_2&1\\ x_3&y_3&1\end{vmatrix}$

Now, in our case, we have: $(x_1,y_1)=(3,3)$

$(x_2,y_2)=(3,-1)$ , and

$(x_3,y_3)=(-2,-5)$

Thus, the area in this case will become:

Area= $\frac{1}{2}\begin{vmatrix}3&3&1 \\ 3&-1&1\\ -2&-5&1\end{vmatrix}$

Therefore, Area= $\frac{1}{2}\times [[3(-1\times 1-(-5)\times 1]-3[3\times 1-(-2)\times 1]+1[3\times -5-2]]= \frac{1}{2}\times -20=-10$

We know that area cannot be negative, so the area of the given triangle is <u>10 squared units</u>.

3 0

3 years ago

PLEASE HELP

const2013 [10]

I think its C HOPEFULY THISIS RIGHT GOOD LUCK!!!!!!!!!!!!!!!!!!!1

8 0

3 years ago

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A researcher selects a sample of 49 participants from a population with a mean of 12 and a standard deviation of 3.5. What is th

enot [183]

Answer:

The probability of selecting a sample mean of 13 or larger from this population is 0.0228

Step-by-step explanation:

A researcher selects a sample of 49 participants from a population with a mean of 12 and a standard deviation of 3.5.

$n = 49$

$\mu = 12$

$\sigma = 3.5$

We are supposed to find the probability of selecting a sample mean of 13 or larger from this population i.e. $P(x\geq 13)$

$Z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

$Z=\frac{13-12}{\frac{3.5}{\sqrt{49}}}$

Z=2

Refer the z table

$P(Z$

$P(x\geq 13)=1-P(Z$

Hence the probability of selecting a sample mean of 13 or larger from this population is 0.0228

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2 years ago

What can 12 and 7 go into

grandymaker [24]

The only possibility would be 1

5 0

3 years ago

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