Please help with this Algebra II question.

y = [tex]\frac{-5}{4}[/tex]x + 3

As shown in the graph, the line is a straight line. Therefore, the general equation of a straight line can be employed to derive the equation of the line.

The general equation of a straight line is given by:

y = mx + c or            -------------(i)

y - y₁ = m(x - x₁)        -----------------(ii)

Where;

y₁ is the value of a point on the y-axis

x₁ is the value of the same point on the x-axis

m is the slope of the line

c is the y-intercept of the line.

Equation (i) is the slope-intercept form of a line

Steps:

(i) Pick any two points (x₁, y₁) and (x₂, y₂) on the line.

In this case, let;

(x₁, y₁) = (0, 3)

(x₂, y₂) = (4, -2)

(ii) With the chosen points, calculate the slope m given by;

m = [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex]

m = [tex]\frac{-2-3}{4-0}[/tex]

m = [tex]\frac{-5}{4}[/tex]

(iii) Substitute the first point (x₁, y₁) = (0, 3) and m = [tex]\frac{-5}{4}[/tex] into equation (ii) as follows;

y - 3 = [tex]\frac{-5}{4}[/tex](x - 0)

(iv) Solve for y from (iii)

y - 3 = [tex]\frac{-5}{4}[/tex]x

y = [tex]\frac{-5}{4}[/tex]x + 3 [This is the slope intercept form of the line]

Where the slope is [tex]\frac{-5}{4}[/tex] and the intercept is 3

Answer:

da one in the middle and i do relize this is a test becuse i just took it.

Step-by-step explanation:

Answer:

[tex]x=136[/tex]

Step-by-step explanation:

[tex]using ~ intersecting ~chords ~ angle ~theorem[/tex]

---------------------

hope it helps...

[tex] \small \fbox \pink{By using intersecting chords angle property }[/tex]

[tex] \sf{x = \frac{142 + 130}{2} }[/tex]

[tex] \implies \sf{x = \frac{272}{2} }[/tex]

[tex] \boxed {x = 136 °}[/tex]

Thank You :)

Hope it helps uh !!

Answer: C. 0.8p

Step-by-step explanation:

Since Darien is discounting the prices by 20%, the new price will be 80% of the original price, or 0.8 times the original price

Answer:

[tex]\displaystyle d = 5[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Point (-1, -3)

Point (2, 1)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

the independent variable is amount being paid per hour, as the final outcomes relys on that answer. the dependent variable is the hours worked, as thats the variable that can be changed.

Answer:

79

Step-by-step explanation:

Answer:

79

Step-by-step explanation:

Answer:

11 and 12

Step-by-step explanation:

The two numbers will be called x and y. The sum of x and y is 23 and the difference is 1.

x + y = 23  

x - y = 1

Add the equations together

x + y + x - y = 23 + 1

2x = 24

x = 12

y = x - 1

y = 11

Answer:

Is there an image or even numbers to work with?

Step-by-step explanation:

Answer:

where are the numbers?

Answer:

25 un²

Step-by-step explanation:

Formula = 1/2(b x h)

Base = 10

Height = 5

1/2( 10 x 5) = 1/2 (50) = 25

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

[tex]25 \: {units}^{2} [/tex]

Step-by-step explanation:

[tex] \frac{(10 \times 5)}{2} = 25[/tex]

Answer:

47.12 ft

Step-by-step explanation:

C = 2πr

2 · π · 7.5

≈ 47.12

Answer: Rectangle

Step-by-step explanation: A rectangle has opposite sides which are parallel and congruent and a rectangle must have a right angle

Answer:

I'm confused as to what your asking.

Answer:

b

Step-by-step explanation:

a

it is A because a variation equation needs numbers and variables

Answer:

[tex]-62024.48[/tex]

Step-by-step explanation:

Given

[tex][ 4 * ( 4 + 3 ) ] - 3 [ ( 7 - 5 ) \div 1 2 ] * 2 ( 5.4 + 3 ) * ( 6 - 2 ) [ 9 \div 3 + 6 ] * 3 ( 4 + 3.2 ) * [ ( 9 - 2 ) + 2.5][/tex]

Required

Solve

The question is poorly formatted; the only way to answer this is to place the result of each step in brackets until brackets cannot be used.

So, we have

[tex][ 4 * ( 4 + 3 ) ] - 3 [ ( 7 - 5 ) \div 1 2 ] * 2 ( 5.4 + 3 ) * ( 6 - 2 ) [ 9 \div 3 + 6 ] * 3 ( 4 + 3.2 ) * [ ( 9 - 2 ) + 2.5 ][/tex]

Solve the expressions in the inner brackets

[tex][ 4 * 7 ] - 3 [ 2 \div 1 2 ] * 2 ( 8.4 ) * ( 4 ) [ 9 \div 3 + 6 ] * 3 ( 7.2 ) * [ 7 + 2.5 ][/tex]

Solve all divisions

[tex][ 4 * 7 ] - 3 * \frac{1}{6} * 2 ( 8.4 ) * ( 4 ) [ 3 + 6 ] * 3 ( 7.2 ) * [ 7 + 2.5 ][/tex]

[tex][28] - 0.5 * (16.8) * (4) [9] * (21.6) * [9.5][/tex]

[tex][28] - 0.5 * (16.8) * [36] * (21.6) * [9.5][/tex]

Multiply through

[tex]28- 62052.48[/tex]

[tex]-62024.48[/tex]

Answer:

Solution given:

arc AB :angle=[tex]\frac{\pi }{3}[/tex]=60

radius[r]=1

Now

we have

Circumference the circle is the length of arc AB ⌢:[tex]\frac{arc AB }{360}2\pi*r[/tex]

:

[tex] \frac{180}{3} \div 360 \times 2\pi \: \times 1[/tex]

=⅓π or 1.047units

Note:

For angle π=180

For length π=[tex]\frac{22 }{7}[/tex].

L

π/3=60°

Answer:

30 cm

Step-by-step explanation:

Perimeter = (half the circumference) + (twice the radius)

                 = (1/2)(2·10 cm)                   +  2(10 cm)

                 = 10 cm + 20 cm

                  = 30 cm

Answer:

[tex]3x + 6y = 18 \: \: \: \\ + \\ 3 \times (6x - 2y = 22) \: \: \: 18x - 6y = 66 \\ \\ 21x = 84 \\ x = \frac{84}{21} = 4[/tex]

c=x=4

d=(18-3×4)÷6=6÷6=1=y

Step-by-step explanation:

What type of line the picture represent

Step-by-step explanation:

Answer:

C7t

Step-by-step explanation:

Answer:

B. –7x +7y = –49

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:  

1

y-intercept:  

(

0

,

−

7

)

x

y

0

−

7

1

−

6

Answer:

The answer is A, 1/729

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

4/6 and 5/8

Step-by-step explanation:

[tex]\huge\longmapsto\mathfrak{Answer}[/tex]

=》

[tex] \sec {}^{2} (x) - tan(x) - 3[/tex]

=》

[tex] \tan {}^{2} (x) + 1 - \tan(x) - 3[/tex]

=》

[tex] \tan {}^{2} (x) - \tan(x) - 2[/tex]

=》

[tex] \tan {}^{2} (x) - 2\tan(x) + \tan(x) - 2[/tex]

=》

[tex] \tan(x) ( \tan(x) - 2) + 1( \tan(x) - 2) [/tex]

=》

[tex]( \tan(x) + 1)( \tan(x) - 2)[/tex]

so,

case - 1

=》

[tex] \tan(x) = - 1[/tex]

case - 2

[tex] \tan(x) = 2[/tex]

Answer:

56 hours

Step-by-step explanation:

Divide:

   $784

-------------- = 56 hrs

($14/hr)

She babysat for 56 hours to earn that $784.

Answer:

644 cm^2

Step-by-step explanation:

10*7*2+12*7*2+12*10=140+168+120=428

10*12-3*3=111

428+111=539

8*3*4+3*3=96+9=105

539+105=644