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4 years ago

Write the equation of the line in

Mathematics

1 answer:

Brut [27]4 years ago

5 0

Answer:

y - 3= 2(x - 0)

Step-by-step explanation:

hello :

note 1 :

the point-slope formula is :

y - y_1 = m(x - x_1) the point is A(x_1 , y_1 ) , m : the slope

note 2 :

the slope is : m = (y_2 - y_1)/(x_2 -x_1) when given two points :

A(x_1 , y_1 ) and B(x_2 , y_2 )

in this exercice : x_1 =0 y_1 =3 x_2 =1 y_2 =1

calculate now m = (1 - 3)/(1 -0) =-2

an equation in point-slope form is : y - y_1 = m(x - x_1)

y - 3= 2(x - 0)

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Probability question 2<br> A number cube is rolled once....

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It would be 2 because one wouldn’t make sense

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3 years ago

Angela opened a bank account with $0.50. Later in the week she deposited money and $24 in her account. How much money did she de

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Answer:

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4 years ago

Read 2 more answers

14. Michelle simplified an expression for the perimeter of the rectangle below and got X + 35.

Zigmanuir [339]

Answer:

The correct expression for the perimeter is $P=(\frac{5}{3}x+70)\ units$

see the explanation

Step-by-step explanation:

The complete question in the attached figure

Let

L ----> the length of rectangle

W ---> the width of rectangle

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$

In this problem we have

$L=(\frac{5}{6}x+23)\ units$

$W=12\ units$

substitute the values

$P=2(\frac{5}{6}x+23+12)$

$P=2(\frac{5}{6}x+35)$

$P=(\frac{10}{6}x+70)\ units$

Simplify

$P=(\frac{5}{3}x+70)\ units$

Michelle didn't multiply the sum of length and width by 2

6 0

3 years ago

Which one should I choose?

Nastasia [14]

Given:

A figure of a quadrilateral.

To find:

The measures of angle 1 and angle 2.

Solution:

The given figure has two pairs of congruent adjacent sides. So, the quadrilateral in the figure is a kite.

We know that the diagonals of a kit are perpendicular to each other at the point of intersection.

$m\angle 1=90^\circ$

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

$90^\circ+65^\circ+m\angle 2=180^\circ$

$155^\circ+m\angle 2=180^\circ$

$m\angle 2=180^\circ-155^\circ$

$m\angle 2=25^\circ$

Therefore, the correct option is C.

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3 years ago

Experts have predicted that approximately 1 in 12 tractor-trailer units will be involved in an accident this year. One reason fo

Yuliya22 [10]

Answer:

1. 564 tractor trailers

2. (0.2919, 0.4339)

3. It should be noted that there is 90% confidence that the true population proportion lies between 0.2919 and 0.4339.

Step-by-step explanation:

Proportion= P = 0.8333333333333 (1/12)

Margin error= 0.06/2 = 0.03

Confidence level= 99

Significance level = α= (100 - 99)%= 1%= 0.01

α/2 = 0.01/2 = 0.0005

Sample size= n

= p(1 - p) (Z*/E)

=0.8333333333333 x (2.576/0.03)^2

=563.15

Approximately

=564

2) Sample size n= 124

Sample number of event x =45

Sample proportion = p= x/n

=45/124

= 0.3629

Standard error =√p(1 - p) /n

√(0.3629× (1 - 0.3629)/ 124

= 0.0432

Confidence level= 90

Significance level α= (100-90)% =0.01

Critical value Z* = 1.645

Margin of error = Z×Standard error= 1.645 × 0.0432= 0.07103

Lower limit = p- margin error= 0.3629 - 0.07103= 0.2919

Upper limit = p+margin error= 0.3629 + 0.07103= 0.4339

The answer is (0.2919, 0.4339)

3) It should be noted that there is 90% confidence that the true population proportion lies between 0.2919 and 0.4339.

5 0

4 years ago