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ale4655 [162]
3 years ago
8

What is the equation of a line that is perpendicular to the line y = 2x + 4 and passes through the point (–2, 3)?

Mathematics
1 answer:
8_murik_8 [283]3 years ago
4 0

Answer:

3=-1/2(-2)+b

solve

3=1+b

2=b

b=2

now that we have the slope and y intercept of the equation construct your equation:

y=-1/2x+2

Neither of these answers are correct. I graphed them all and not a single one passed through (-2, 3)

Additionally, the slopes of B and D are inncorrect and lines A and C dont pass through the point (-2, 3) the only correct  equation is y=-1/2x+2

I graphed it and it was valid

Maybe ask your teacher if there were any mistakes?

Step-by-step explanation:

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Hi, can someone help please? Thanks! Calculate the correlation coefficient of the following data
Oksanka [162]

Answer:

Option C is correct

Correlation coefficient of the following data is 0.37

Step-by-step explanation:

Correlation coefficient formula :

r = Σ [(x - x_{m}) × (y - y_{m})] ÷ √ [Σ (x - x_{m})^{2} × Σ (y - y_{m}) ^{2}]

x =  Data points in Data set x

y =  Data points in Data set y

x_{m}= Mean of Data set x

y_{m}= Mean of Data set y

Now put all the values and sumation it as of given in the formula

Mean of Data set x = (1+4+8+6+2)÷5 = 21÷5 = 4.2

Mean of Data set y = (16+20+15+22+9)÷5 = 82÷5 = 16.4

Now put the values in the equation

r = Σ [(x - 4.2) × (y - 16.4)] ÷ √ [Σ (x - 4.2)^{2} × Σ (y - 16.4) ^{2}]

Now put every single value of x and y and after we will get the required Correlation coefficient.

And that is Correlation coefficient of the following data is 0.37

Learn more about Correlation coefficient  here -brainly.com/question/16455048

#SPJ10

7 0
2 years ago
PLEASE HELP ME!!! 5 POINTS!!!
lakkis [162]

Answer:

D. 1.38

Step-by-step explanation:

To compare numbers, start with the left side.

You are comparing these numbers with 1.32:

A.1.02

B.1.23

C.1.31

D.1.38

Start with the leftmost digit, the 1. All numbers start with 1, so up to the units place, they are all the same. See below.

1.32

A. 1.02

B. 1.23

C. 1.31

D. 1.38

Now compare the next digit which is the tenths place.

1.32

A. 1.02

B. 1.23

C. 1.31

D. 1.38

Above, the number 1.32 has a 3 in the tenths place. 3 is greater than 0 and than 2, so options A and B are less than 1.32 and are eliminated.

1.32

C. 1.31

D. 1.38

Now we compare the digits in the hundredths place shown just above. 2 is greater than 1, but it is less than 8, so we eliminate option C.

Answer: D. 1.38

7 0
4 years ago
What are the values of a and b​
makvit [3.9K]

Answer:

\large\boxed{B.\ a=8,\ b=4\sqrt5}

Step-by-step explanation:

We have three similar triangles:

\triangle ABC\sim\triangle DBA\sim\triangle DAC

therefore the sides are in proportion:

\dfrac{AD}{CD}=\dfrac{BD}{AD}

We have AD = a, CD = 16 and BD = 4. Substitute:

\dfrac{a}{16}=\dfrac{4}{a}              <em>cross multiply</em>

(a)(a)=(16)(4)\\\\a^2=64\to a=\sqrt{64}\\\\a=8

and other proportion:

\dfrac{AB}{BC}=\dfrac{BD}{AB}

We have AB = b, BC = 16 + 4 = 20 and BD = 4. Substitute:

\dfrac{b}{20}=\dfrac{4}{b}             <em>cross multiply</em>

(b)(b)=(20)(4)\\\\b^2=80\to b=\sqrt{80}\\\\b=\sqrt{16\cdot5}\\\\b=\sqrt{16}\cdot\sqrt{5}\\\\b=4\sqrt{5}

3 0
3 years ago
Which ordered pair represents the plotted point on the graph?
mezya [45]
Hope this helps but the answer is A.(-5,2)
7 0
3 years ago
Read 2 more answers
Divide thirty-one point five by ten
Fiesta28 [93]
31.5 divided by 10 is 3.15
8 0
4 years ago
Read 2 more answers
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