The sides of a triangle in cm, are , x , 2x – 5 and 2x – 3 . The perimeter of the triangle is 32 cm . i) Write down an equation for x

Answer:

x = 26

Step-by-step explanation:

[tex]\frac{12}{x-2} = \frac{13}{x}[/tex]

Cross-multiply => 12x = 13x - 26

Isolate x => -x = -26

Divide by -1 => x = 26

Answer:

Vertex → (2, 4)

Step-by-step explanation:

Quadratic equation has been given as,

y = -x² + 4x

We rewrite this equation in the form of a function as,

f(x) = - x² + 4x

By comparing this equation with the standard quadratic equation,

y = ax² + bx + c

a = -1 and b = 4

Vertex of the parabola represented by this equation is given by [tex][-\frac{b}{2a}, f(\frac{-b}{2a})][/tex]

x coordinate = [tex]-\frac{4}{2(-1)}[/tex]

                     = 2

y-coordinate = f(2)

                     = - (2)² + 4(2)

                     = -4 + 8

                     = 4

Therefore, vertex of the given function is (2, 4)

Answer:

noice, i could never draw like that, it's really good

N is the day it is, so since we are trying to find the number of problems for the 10th day, n will equal 10. The quantity of problems is doubling each day, so you will create this rule:

2^n - 1

Now, to plug in the numbers:

2^10 - 1

Then we simplify:

2^9

And now we solve this equation:

2^9 = 512

Answer:

Let's try to set up some equations. We'll say a is the number of 1-point shots, b the number of 2-point shots, and c the number of 3-point shots.

A basketball player scored 33 points in one game.

So a + 2b + 3c = 33

He scored four more 2-point baskets than he did 3-point baskets.

So b = c + 4

The number of free-throws equaled the sum of the number of 2-point and 3-point shots made.

So a = b + c

and since b = c + 4,

a = (c + 4) + c = 2c + 4

Substituting in a + 2b + 3c = 33,

(2c + 4) + 2 * (c + 4) + 3c = 33

which simplifies to

7c + 12 = 33

So c = 3, b = 7, a = 10

Answer:

The system of equations in standard form that models this situation are:

2x+3y=33

x-y=4

Answer:

1. 4x - 5

2. -2x + 6

3. x + 3

4. 4/3x - 5

Step-by-step explanation:

I used a calculator and my math skills :)

Answer:

The answer is -77 you just multiplying then subtracting

Answer:

180, 360, 540

Step-by-step explanation:

6 time 30 equal 180

12 time 30 equal 360

18 time equal 540

Multiply 30 with every number

Answer:

AB=13

Step-by-step explanation:

AC=26 => AB=BC= 13

The speed of the boat increases steadily for 10 minutes and travels at a constant speed after 10 minutes.

Option D is the correct answer.

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

The x-axis can be assumed as 10 minutes for each unit.

Now,

From the graph, we see that the speed is steadily increasing as the time increases from x= 0 to x = 10.

From x = 10, the line on the graph is horizontal this means, the speed is constant.

Thus,

The speed of the boat increases steadily for 10 minutes and travels at a constant speed.

Learn more about speed here:

https://brainly.com/question/7359669

#SPJ2

Answer:

B

I used Jedi Powers and anyone else who answers is a sith lord

Answer: i think it would be D

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

z = [tex]\frac{6}{15}[/tex] × 10

  = 4

sorry that's all I know

use cos to get an equation and then solve.

Answer: 7 1/2

Step-by-step explanation:

From the question, we are informed that a large bag of chocolate chips contains 11 1/4 cups and that a cookie recipe needs 1 1/2 cups of chocolate chips.

The number of times that the cookie recipe can be made will be:

= 11 1/4 ÷ 1 1/2

= 45/4 ÷ 3/2

= 45/4 × 2/3

= 7 1/2

The recipe can be made 7 1/2 times

Answer:

Step-by-step explanation:

The "holes" are the x-es where function doesn't exist.

One must not divide by 0, so given function doesn't exis if the denominator is equal 0

x + 2 = 0  

x = - 2  

Answer:

Answer : False.

Step-by-step explanation:

Hey there!

The equations of line a and line b are:

line a : y= 5x-6...........(i)

line b : x+5y= 5..........(ii)

Firstly find the slope of both equation.

To find slope of first equation;

y= 5x-6

Comparing the equation with y= mx+c. We get;

Slope (m1) = 5.

Now,

To find slope of second equation;

Slope (m2) = (-coefficient of x)/(coefficient of y)

Slope (m2) = (-1/5)

Therefore, the slope of second equation is -1/5.

As per the condition of parallel lines, slope of 1st equation should be equal to 2nd equation.

Now, comparing their slopes;

5≠(-1/5)

Therefore, the answer is "False".

Hope it helps....

Line A

Compare to slope intercept form

LineB

Slope

As slopes are negative reciprocal to each other lines are perpendicular to sach other not parallel

Hence it's False

Answer:

4x-12

Step-by-step explanation:

factor out the equation

Answer:

4 x-12

Step-by-step explanation:

Distribute

8 − 4 ( − + 5 )

8 + 4 − 2 0

Subtract the numbers

8 + 4 − 2 0

− 1 2 + 4

Rearrange terms

− 1 2 + 4

4 − 1 2

Answer:

B

Step-by-step explanation:

Remark

If we draw a line from F to T, we can make a couple of statements.

Call the center of the circle O

1. <FTE = 1/2 the central angle of <FOE. The size of <FOE is the same size as the minor arc. Since The minor arc = 60 degrees, then FTE = 30 degrees.

2. <GTF = 1/2 78 by the same reasoning used above.  GTF = 39 because that is 1/2 of 78.

So the answer to the size of <T = 39 + 30 = 69 which is B

There is a much simpler way of doing this.

The central angle of the two arcs is 78 + 60 = 138

The <GTE is 1/2 the central angle

<GTE = 1/2 * 138 = 69

The height of the rectangular prism will be 9 cm.

Let the prism with a length of L, a width of W, and a height of H.

Then the volume of the prism is given as

V = L x W x H

We know that the product of the length and width will be known as the base area.

Then the volume of the rectangular prism will be

V = A x H

Base area = 147 cm²

Volume = 1323 cm³

Then the height of the rectangular prism will be

1323 = 147H

H = 9 cm

The height of the rectangular prism will be 9 cm.

The complete question is attached below.

More about the volume of the rectangular prism link is given below.

https://brainly.com/question/21334693

#SPJ2

Answer:

the third side could be 8 or 2

Step-by-step explanation:

Answer:

6 < x < 14;   answer = 8

Step-by-step explanation:

triangle inequality theorem: sum of any two sides must be greater than the third side

4 + 10 > x         x < 14

10 + x > 4         x > 6

Answer:

x = 3y

Step-by-step explanation:

In tabular form, the variables are given as;

x     y

-2    -6

-1     -3

0      0

1      3

2     6

To determine relationships between variables, you observe the numbers and note how they change

In the first instance, the number; -2 changed to -6. This means it was multiplied by 3.

To confirm it, we check the next set of numbers, -1 and -3. This means it is correct.

The equation showing the relationship between both variables is given as;

x = 3y

Answer:

2 1/3 cm

Step-by-step explanation:

Area = length x width

w = width

7/3 = 6/5w

cross-multiply: 30w = 70

w = 7/3 or 2 1/3

Answer:

264/9 = 29.34

Step-by-step explanation:

(11/3)*(12/3)*2

Answer:

29.34

Step-by-step explanation:

Answer:

Step-by-step explanation:

first one A and second one C

Answer:

}p=3−2h

][

}h=9−p

Step-by-step explanation:

i don't know the steps but i know the answer.

The equation that models the situation is h + p = 9 and 2h - p = 3

Let h represent the number of hot dog snack and p represent the number of popcorn snack.

Justin buys a total of 9 snacks. Hence:

the popcorn boxes he buys is three less than twice as many hot dogs. Hence:

The equation that models the situation is h + p = 9 and 2h - p = 3

Find out more on equation at: https://brainly.com/question/13763238

Answer:

f" (3,-2)

g' (3,-6)

H' (9,-5)

Step-by-step explanation: