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hodyreva [135]
3 years ago
11

A line passes through the point (3,9) and has a slope of 4

Mathematics
2 answers:
expeople1 [14]3 years ago
7 0
Point-slope form is y - y1 = m(x - x1). We just need to plug in our stuff. This gives us y - 9 = 4(x - 3). I am not sure if you need to simplify, but if you do, y - 9 = 4x - 12.
miv72 [106K]3 years ago
4 0

Answer:

y - 9 = 4(x - 3)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = 4 and (a, b ) = (3, 9 ) , then

y - 9 = 4(x - 3) ← equation of line

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Convert each radian measure into degrees
faltersainse [42]

Answer:

Step-by-step explanation:

\frac{deg}{rad}=\frac{360}{2\pi }\\ \\ deg=\frac{360rad}{2\pi }\\ \\ deg=\frac{180rad}{\pi }

4 0
3 years ago
MATRECIES: Suppose ={u,v,w}⊆R3 is linearly independent. Determine if the set 4 ={u, v, v−w, u+v+w} is linearly independent or li
AlladinOne [14]

The set is linearly dependent.

To explicitly prove this, we need to show there is at least one choice of constants c_1,c_2,c_3,c_3\in\Bbb R such that

c_1 u + c_2 v + c_3(v-w) + c_4(u+v+w) = 0

or equivalently,

(c_1 + c_4) u + (c_2 + c_3 + c_4) v + (-c_3 + c_4) w = 0

which is the same as solving the system of equations

\begin{cases} c_1 + c_4 = 0 \\ c_2 + c_3 + c_4 = 0 \\ -c_3 + c_4 = 0 \end{cases}

From the first and last equations, we have c_1=-c_4 and c_3=c_4. Substituting these into the second equation leaves us with c_2-2c_1=0, and so the overall solution set is

c_1 = \dfrac12 c_2 = -c_3 = -c_4

for which there are infinitely many not-all-zero solutions.

3 0
2 years ago
Describe in detail how you would construct a 95% confidence interval for a set of 30 data points whose mean is 20 and population
postnew [5]

Answer:

We have been given confidence interval 95%, mean 20 , data set 30 and standard deviation 3.

We will use the formula: mean\pm \frac{\sigma}{\sqrt{n}}\cdot (z-score)

Here,mean=20,\sigma=3,n=30,z-score=1.96

Z-score value at 95% confidence interval is 1.96

On substituting the values in the formula to plug the values:

20\pm\frac{3}{\sqrt{30}}\cdot (1.96)

Now, we have a formula for marginal error:z\cdot \frac{\sigma}{\sqrt{n}}

Marginal error means your answer will be within that percentage only.

Say you have 3% marginal means your value will be within 3% real population 95% of the time.

7 0
4 years ago
Question 16 (1 point) An object is thrown from the top of a building. The following data measure the height of the object from t
Archy [21]

Using a calculator, inserting the values of x and y, the correlation coefficient for the given data-set is of -0.9422.

<h3>How to find the correlation coefficient of a data-set?</h3>

Using a calculator, the correlation coefficient is found inserting the ordered pairs (x,y) in the calculator.

In this problem, we have that:

  • The values of x are: 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5.
  • The values of y are: 112.5, 110.875, 106.8, 100.275, 91.3, 79.875, 70.083, 59.83, 30.65, 0.

Hence, using a calculator, the correlation coefficient is of -0.9422.

More can be learned about correlation coefficients at brainly.com/question/25815006

#SPJ1

8 0
2 years ago
35<br> 7= __<br> w<br><br><br> PLEASE HELP!!!!!
Kryger [21]

Answer:

357=w

bbcdhjb cfhmmvcf

7 0
3 years ago
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