In the equation above, a is a constant. If the equation has the solutions x = -2 and 3 =
a
what is the value of a?

Answer:

a) Rectangle:

Length = 12 cm

Breadth = 6 cm

Area = length × breadth

= 12 × 6

= 72 cm²

b) Triangle A:

Base = 3 cm

Height = 6 cm

Area = 1/2 × base × height

= 1/2 × 3 × 6

= 9 cm²

c) Triangle B:

Base = 3 cm

Height = 6 cm

Area = 1/2 × base × height

= 1/2 × 3 × 6

= 9 cm²

d) Parallelogram:

Base = (12 - 3) = 9 cm

Height (distance between two parallel sides – the ones you use as your base) = 6 cm

Area = base × height

= 9 × 6

= 54 cm²

Answer:

y=2x+5

Step-by-step explanation:

The slope-intercept form of a linear equation is:

y=mx+b

Where m is the slope and b is the y-intercept.

We can start by finding the slope...

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

We can use any two x, y pairs to solve for the slope. In this case let's use (0,5) and (2,9)...

[tex]Slope=\frac{9-5}{2-0}=\frac{4}{2}=2[/tex]

The y-intercept is where the line intersects the y-axis. This means that the x value is 0. In the table we can see when the x value is 0, the y value is 5 meaning the y-intercept is 5...

y=2x+5

[tex]J(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-5})\qquad K(\stackrel{x_2}{-6}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-6}-\underset{x_1}{(-4)}}}\implies \cfrac{3+5}{-6+4}\implies \cfrac{8}{-2}\implies -4[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{-4}(x-\stackrel{x_1}{(-4)})\implies y+5=-4(x+4)[/tex]

[tex]y+5=-4x-16\implies y=-4x\underset{\stackrel{\uparrow }{b}}{-21} \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

Answer:

its -21 cus im asian and smart

Step-by-step explanation:

6x + 24 = 6x + 8

Cancel equal terms

24=8

the statement is false(Ø)

Answer:

1. Standard form

2. Vertex form

3. Intercept form

Step-by-step explanation:

#CARRYONLEARNING

Answer:

a. 2. Intercept Form

b. 3. Vertex Form

c. 1. Standard Form

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

In the question it’s given that : y=|x| => even if x will be a negative number,y will be positive.

1) -3 ; 3 ; (-3,3)

2) -2 ; 2 ; (-2,2)

3) -1 ; 1 ; (-1,1)

4) 0 ; 0 ; (0,0)

5) 1 ; 1 ; (1,1)

6) 2 ; 2 ; (2,2)

7) 3 ; 3 ; (3,3)

Area of a rectangle = height × width

= 5b × 3a

= 15ab

Answer:

There is no question.

Step-by-step explanation:

Answer:

dimensions: 8 ft x 8 ft      ║       32 ft of  fence she used.

Step-by-step explanation:

as its a square, its formula for area: length²

using the formula:

length² = 64

length = √64

length = 8 ft

→ The dimensions of the kennel is 8 ft x 8 ft

Using the length, we can find; how many fencing she used:

formula used: 2 ( length + length )

using the formula:

2 ( 8 + 8 )

2 ( 16 )

32 ft

Answer:

$100

Step-by-step explanation:

The bottom row is how many mph the driver is over, the left row is how much it costs per mph over. Since 62mph in a 55mph zone is 7mph over, you go the 7 on the bottom, and go up until you get to the point, then see what the number on the left is. In this case, it would be 100. So therefore the fine is $100.

Answer: Answer:Step-by-step explanation:a) On day 4, her balance = $400on day 5, her balance = $0on day 6, her balance = $400on day 7, her balance = $0on day 8, her balance = $400From the above illustration, Ebony withdraws all the money and deposits the same amount, each every other days.c)  I do not think so, perhaps, she must have been doing that previously, between day 4 and day 8, but have changed her way of withdrawals and savings between day 8 and day 12.

Step-by-step explanation:

Answer:

155 m/h

Step-by-step explanation:

We just add 150 to 5 which equals 155 m/h

I HOPE THAT THIS IS CORRECT

Answer:

b

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer: 50

Step-by-step explanation:

[tex]h\:\circ \:g=h\left(g\left(x\right)\right)[/tex]

[tex]g\left(x\right)=4x-2[/tex]

[tex]=h\left(4x-2\right)[/tex]

[tex]=5\left(4x-2\right)[/tex]

[tex]=20x-10[/tex]

Substitute 3 for x:

= 20(3)-10

= 50

Answer:

  (a)  1

  (b)  1 3/4

  (c)  [-2, 4]

  (d)  [-1/4, 2]

Step-by-step explanation:

Apparently, the vertex of the graph is (1, 2) and it goes through points (-1, 1) and (3, 1). In vertex form, the equation for this is ...

  y = a(x -1)^2 +2

We can find the value of 'a' from the point (3, 1):

  1 = a(3 -1)^2 +2 = 4a +2 . . . . substitute for x and y, and simplify

  -1 = 4a . . . . . . . subtract 2

  -1/4 = a . . . . . . divide by 4

So, ...

  f(x) = -1/4(x -1)^2 +2

__

Above, we assumed point (-1, 1) was on the graph:

  f(-1) = 1

__

Using the equation we found, ...

  f(2) = -1/4(2 -1)^2 +2 = -1/4 +2

  f(2) = 1 3/4

__

The domain is the horizontal extent of the graph, apparently from x = -2 to x = 4.

  domain: [-2, 4] or -2 ≤ x ≤ 4

__

The range is the vertical extent of the graph. The minimum can be found at the end of the domain:

  f(4) = -1/4(4 -1)^2 +2 = -9/4 +2 = -1/4

The maximum has already been established as the vertex at y=2.

  range: [-1/4, 2] or -1/4 ≤ y ≤ 2

180 = 132 + x + x

180 - 132 = 2x

48 = 2x

x = 24⁰

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

Let's use Angle sum property of a triangle ~

[tex]\qquad \sf  \dashrightarrow \: x + x + 132 \degree = 180 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x + 132 \degree = 180 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x = 180 \degree - 132 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x = 48 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 48 \degree \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 24 \degree[/tex]

Answer:

Below :D

Step-by-step explanation:

Corresponding equation:

A relationship represents a proportional diagram.

So we can express it as, y/x=k

Answer= y 1/5x

substitute (20,4)

4= 20x/.

Divide both sides by 20.

so we have.

y=1/5x.

Answer:

[tex] \frac{y - y1}{x - x1} \\ \frac{y - 4}{x - 20} \\ m = \frac{y - 4}{x - 20} \\ 1 = \frac{y - 4}{x - 20} \\ x - 20 = y - 4 \\ - y = - x - 4 + 20 \\ - y = - x + 16 \\ \frac{ - y}{ - } = \frac{ - x}{ -} + \frac{16}{ - } \\ y = x - 16[/tex]

Answer:

Step-by-step explanation:

Angle j is the measure of the interior angle of a regular hexagon, so its measure is 180(4/6) = 120 degrees.

Angle k can be found using the fact that the sum of the interior angles of a quad is 360.

So k = 360 - 180 - 142 = 38 degrees

Answer:

The bottom right (v shaped one) is a function

Step-by-step explanation:

Hope this helps:)

Answer:

The one in the bottom right that is an absolute value function.

Step-by-step explanation:

You can use the "vertical line test" to determine whether a given graph is a function or not. If you can draw a straight, vertical, line anywhere and it intersects the graph more than once, then it is not a function. The one in the bottom right is therefore the answer.

Answer:

0,100,0.5,20

Step-by-step explanation:

My answer got removed cause I didn't put an explanation... you just plug in the numbers to the equation.

Answer:

  4900 J

Step-by-step explanation:

The average mass of water raised is ...

  (15 kg +(15 -5) kg)/2 = 12.5 kg

The work done to raise it 40 m is ...

  W = mgh = (12.5 kg)(9.8 m/s^2)(40 m) = 4900 J

Answer:

1/3

Step-by-step explanation:

This is about the interpretation of the graph

From the graph, we can see the 2 lines representing function f(x) and function g(x).

Now for us to find the value of x in g(x) = k⋅f(x), we need to get a mutual x-coordinate where we can easily read their respective y-coordinate values.

We see that the best point for that is where x = -3.

For f(x), when x = -3, y = 1

For g(x), when x = -3, y = -3

we can rewrite them as;

x = -3, f(-3) = 1 and x = -3, g(-3) = -3

Let us plug in the relevant values into g(x) = k⋅f(x) to get;

-3 = k(1)

Thus; k = -1/3

Hope it helps you mark me as brinllent

Answer:

the train's average rate of speed would be 57.8 mph

Step-by-step explanation:

Divide 1445 with 25 and then you get your answer

brainilest pls

anyway hope this helped have an awesome day bye byeee

Answer:

3240°

Step-by-step explanation:

The equation to find the sum of the measures of the interior angles of a figure is:

(n-2)*180

Where n represents the amount of sides the figure has. In this case the figure has 20 sides so its interior angles sum up to:

(20-2)*180=18*180=3240°

Answer:

talk to you're mother

Step-by-step explanation:

love you