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Aleks [24]
2 years ago
7

What is the equation of the graphed line written In

Mathematics
1 answer:
Sholpan [36]2 years ago
4 0

The equation of the graph in standard form is 2x + 3y = -6

<h3>How to determine the equation?</h3>

The attached figure represents the missing piece in the question

The graph passes through the points

(-3,0) and (0,-2)

The linear equation is then calculated using:

y = \frac{y_2 -y_1}{x_2 -x_1} * (x-x_1) + y_1

So, we have:

y = \frac{-2 -0}{0+3} * (x-0) -2

Evaluate the expression

y =-\frac 23x - 2

Multiply through by 3

3y = -2x - 6

Add 2x to both sides

2x + 3y = -6

Hence, the equation in standard form is 2x + 3y = -6

Read more about linear equations at:

brainly.com/question/14323743

#SPJ1

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6 0
3 years ago
To the nearest tenth, find the perimeter of ABC with vertices A(-1,4), B(-2,1) and C(2,1). show your work
liubo4ka [24]

we have to firstly apply the distance formula to find the length of sides of the triangle

distance formula = \sqrt{(x_{2} -x_{1})^2 +(y_{2}- y_{1})^2}

So length AB = \sqrt{(-2-(-1))^2+(1-4)^2}= \sqrt{1 +9}=\sqrt{10}

BC= \sqrt{(2-(-2))^2+(1-1)^2}= \sqrt{16+0}=4

AC = \sqrt{(2-(-1))^2+ (1-4)^2}= \sqrt{9+9}=\sqrt{18}=3\sqrt{2}

Now perimeter = AB+BC+AC = \sqrt{10}+4+3\sqrt{2}

Plug in calculator

perimeter= 11.4 units

7 0
3 years ago
Look at the right-angled triangle ABC.
Nikolay [14]

Answer:

∠x = 90°

∠y = 58°

∠z = 32°

Step-by-step explanation:

The dimensions of the angles given are;

∠B = 32°

Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;

∠A = 90°

∴ ∠B + ∠C = 90° which gives

32° + ∠C = 90°

∠C = 58°

∠x + Interior angle of the square = 180° (Sum of angles on a straight line)

∴ ∠x + 90° = 180°

Hence;

∠x = 90°

∠x + ∠y + 32° = 180° (Sum of angles in a triangle)

∴ 90° + ∠y + 32° = 180°

∠y = 180 - 90° - 32° = 58°

∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)

58° + ∠z +90° = 180°

∴ ∠z = 32°

∠x = 90°

∠y = 58°

∠z = 32°

3 0
3 years ago
21.50 x y = 225<br> what is y?<br> I need help, please
garik1379 [7]

Answer:

10.5

Step-by-step explanation:

225÷21.50

=10.46511

=10.5(3sf)

4 0
3 years ago
Read 2 more answers
The perimeter of a regulation singles tennis court is 210 feet and the length is 57 feet less than five times the width.
Marianna [84]

Answer:

Length = 24 and Width = 81

Step-by-step explanation:

Let Width be W

then Length = W-57

Perimeter of rectangle = 2(Length + Width)

=2 (W-57+W)= 210

4W- 114= 210

4W= 324

W= 81

Then Length = 81-57 = 24

4 0
3 years ago
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