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Yakvenalex [24]
3 years ago
11

Write the slope-intercept form of the equation of each line.

Mathematics
1 answer:
Ksivusya [100]3 years ago
8 0

Answer:

12) y = -x + 8

11) y = 12x + 22

10) y = 5x - 4

9) y = -2x + 1

8) y = 2x + 9

7) y = 12x - 28

6) y = 1\frac{1}{3}x + 2

5) y = 4x - 2

4) y = x

3) y = 1\frac{2}{5}x - 7

2) y = 2x - 4

1) y = \frac{2}{3}x - 8

Step-by-step explanation:

12)

y - 4 = −(x - 4)

y - 4 = −x + 4

+ 4 + 4

__________

y = -x + 8

_______________________________________________

11)

y + 2 = 12(x + 2)

y + 2 = 12x + 24

- 2 - 2

____________

y = 12x + 22

_______________________________________________

10)

y - 1 = 5(x - 1)

y - 1 = 5x - 5

+ 1 + 1

_________

y = 5x - 4

_______________________________________________

9)

y - 5 = −2(x + 2)

y - 5 = −2x - 4

+ 5 + 5

___________

y = -2x + 1

_______________________________________________

8)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

+ 5 + 5

__________

y = 2x + 9

_______________________________________________

7)

y + 4 = 12(x - 2)

y + 4 = 12x - 24

- 4 - 4

____________

y = 12x - 28

_______________________________________________

6)

4x - 3y = −6

-4x - 4x

__________

−3y = −4x - 6

___ _____

−3 −3

y = 1\frac{1}{3} + 2

_______________________________________________

5)

4x - y = 2

-4x - 4x

_______

−y = −4x + 2

y = 4x - 2

_______________________________________________

4)

x - y = 0

______

−y = −x

y = x

_______________________________________________

3)

7x - 5y = 35

-7x - 7x

_________

−5y = −7x + 35

___ ______

−5 −5

y = 1\frac{2}{5}x - 7

_______________________________________________

2)

2x - y = 4

-2x - 2x

_______

−y = −2x + 4

y = 2x - 4

_______________________________________________

1)

2x - 3y = 24

-2x - 2x

_________

−3y = −2x + 24

___ _______

−3 −3

y = \frac{2}{3}x - 8

I am delighted to assist you anytime.

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In a class 30 of students, 13 have a cat and 7 have a dog. There are 4 students who
AVprozaik [17]

Answer:

4/13

Step-by-step explanation:

"given that they  have a cat?" means you  are referring to only the students that have cats(that is the number on the bottom)

i am very bad at explaining math lol  

7 0
3 years ago
A long jumper lifts off 3 m after starting his run, and lands 6 m later. When he is 8 m from the start line, he is 5 cm above an
slega [8]

Answer:

The equation of the parabola that models the path of the long jumper through the air is y = -x^{2}+12\cdot x -27.

Step-by-step explanation:

Mathematically, we know that parabolas are second-order polynomials and every second-order polynomials, also known as quadratic functions, can be constructed by knowing three different points of the curve. The standard form of the parabola is:

y = a\cdot x^{2}+b\cdot x + c

Where:

x - Horizontal distance from the start line, measured in meters.

y - Height of the long jumper, measured in meters.

a, b, c - Polynomial constants, measured in \frac{1}{m}, dimensionless and meters, respectively.

If we know that (x_{1},y_{1}) = (3\,m, 0\,m), (x_{2},y_{2}) = (8\,m, 0.05\,m) and (x_{3}, y_{3}) = (9\,m, 0\,m), this system of linear equations is presented below:

9\cdot a + 3\cdot b + c = 0 (Eq. 1)

81\cdot a + 9\cdot b + c = 0 (Eq. 2)

64\cdot a + 8\cdot b + c = 0.05 (Eq. 3)

The coefficients of the polynomial are, respectively:

a = -\frac{1}{100}, b = \frac{3}{25}, c = -\frac{27}{100}

The equation of the parabola that models the path of the long jumper through the air is y' = -\frac{1}{100}\cdot x^{2}+\frac{3}{25}\cdot x -\frac{27}{100}.

But we need y measured in centimeters, then, we use the following conversion:

y = 100\cdot y'

Then, we get that:

y = -x^{2}+12\cdot x -27

Where x and y are measured in meters and centimeters, respectively.

The equation of the parabola that models the path of the long jumper through the air is y = -x^{2}+12\cdot x -27.

4 0
3 years ago
What is the slope of the line whose equation is 2x−4y=10 ?
Olenka [21]

solve for y

2x−4y=10  

-2x       -2x      subtract -2x from both sides

-4y = -2x +10

-4            -4    Divide both sides by -4 (coefficient on y)

y = -2/-4x  + 10/-4

y = 1/2x - 5/2


the slope is the number on the x (coefficient)

and its 1/2

6 0
3 years ago
Read 2 more answers
PLEASE HELPPP
Lelechka [254]


(x + a)/(ax) = b/x
a= 2
b = 5
(x + 2) /(2x) = 5/x
cross multiply
x * (x+2) = (2x)*5
x^2 + 2x = 10x
x^2 - 8x = 0
x ( x -8) = 0
We get two solutions
x = 0, 8
the solution 0 is extraneous
the solution 8 is valid.

7 0
3 years ago
If 1-cosA = 1/2 , Then find the value of sinA.
zimovet [89]

Step-by-step explanation:

Given :

1- cosA = 1/2

or, CosA = 1 -1/2

Therefore ; CosA = 1/2 = b/h

According to the Pythagoras theorem,

P = root under h^2 - b^2

= root under (2)^2 - (1)^2

= root under 4 -1

= root 3

Again,

SinA = P/h

= root 3 / 2

8 0
2 years ago
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