Question 54
Jonathan wants to fence off a rectangular area for his dog. He has 24 metres of fencin
he wants the largest possible area what should the dimensions of the fenced off area be​

Answer:

Over time, the function is DECREASING. Cho ran at a faster rate during segment K.

Step-by-step explanation:

Answer:

$9.05

Step-by-step explanation:

x = $adult

y = $kid

2x + 3y = 72.85 (Heather)

2x + 5y = 94.75  (Carl)

subtract the equations to get:

-2y = -21.90

y = 10.95

solve for 'x':

2x + 3(10.95) = 72.85

2x + 32.85 = 72.85

2x = 40

x = 20

Difference between 20 and 10.95 is $9.05

Answer:

Both are false.

Step-by-step explanation:

Elena is right in saying that exponents are repeated multiplication, but shes doing it the incorrect way. 2 to the power of 28 is not multiplication of 28s twice, but instead is multiplication of 2 twenty eight times.

Answer:

boi its 202 -1

Step-by-step explanation:

eiroiwzjsirgjzßπkgjπøˆß

Answer:

Step-by-step explanation:

The important thing to remember here is that the number of plates is a different equation from the one that uses the diameter of the plates. The number of plates will make up one equation; the diameter of the plates will make up the other equation. As far as the number of plates go, we have 15 total. Let's call the 9" plates x and the 12" plates y according to the instruction given. If we have a mixture of 9 and 12 inch plates and we have a total of 15 plates, the first equation regarding the number of plates is

x + y = 15

Now on to the diameters. The 9" plates are x's and the 12" plates are y's and the inches refer to the diameter, of which the total is 150". Therefore, the second equation regarding the diameter of the plates is

9x + 12y = 150

Those 2 equations make up the system. It doesn't say you have to solve it, but if you did, you would find that there are 10 9" plates and 5 12" plates in the cabinet.

Answer:

Missing term = 6x

Step-by-step explanation:

We got:

=> 4x by multiplying +4 and x (x * 4 = 4x)

=> 12 by multiplying +4 and +3 (4 * 3 = 12)

=> 2x² by multiplying 2x and x (2x * x = 2x²)

Similarly we will get the "missing term" by multiplying 2x and +3

=> Missing term = 6x, (2x * 3 = 6x)

Hope this helps!

Answer:

Interesting... go on.

Step-by-step explanation:

Answer:

t + c = 623

t = c + 135

thomas has 379 songs downloaded, and carl has 244

Step-by-step explanation:

togheter they have 623 songs, aka the sum of thomas (t) and carl (c) is 623.

t + c = 623

thomas has 135 more than Carl. so Carl plus 135 is equal to thomas

t = c + 135

now you can solve it:

t + c = 623

(c+135) + c = 623

c + c = 488

2c = 488

c = 244

carl has 244 songs downloaded

t  + 244 = 623

t = 379

thomas has 379 songs downloaded

The system of equations represents t + c = 623 and t = c + 135 and Tomas has 379 while Carl has 244 downloaded.

An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

As per the given,

Together they have 623 songs downloaded.

t + c = 623

Tomas has 135 more songs downloaded than Carl.

t = c + 135

By substitution,

c + 135 + c = 623

2c = 488

c =244

And , t = 244 + 135 = 379

Hence "The equations in the system show that Tomas has 379 while Carl has 244 downloaded and that t + c = 623 and t = c + 135 are represented".

For more about the equation,

brainly.com/question/10413253

#SPJ2

Answer:

No, It is not.

Step-by-step explanation:

Step 1: Divide the 2.45 by 4 (We are doing this to find the difference between them so we can find out what to do next.)

[tex]2.45 \div 4\\\\= 0.6125[/tex]

Step 2: Multiply 0.6125 to 6 (Now, that we've found what 1 magazine cost according to the first data, we are multiplying it by 6 because if you multiply that to 4 the answer will be 2.45. So, if we multiply 6, it will show us if they are both proportional, the same.)

[tex]0.6125 \times 6\\\\= 3.675[/tex]

Therefore, these two prices are not proportional.

Answer:ik i am late but it is 4.4 for the people that need it now

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Number of brownies = 1 dozen

1 dozen = 12

Fraction of brownies that had nut = 2 /6

Hence, Number of brownies dad doesn't eat :

Fraction that had nuts * number of brownies

2/6 * 12

1/3 * 12

= 4

Answer:

y =   35°

z =  90°

Step-by-step explanation:

the angle labeled as 35° and the angle labeled as 'y' are alternate-interior angles and are congruent

therefore, y = 35°

the third angle of the triangle on the left is 180-(90+35) = 55

therefore, this angle is vertical with the angle opposite it which is also 55°

to find 'z', you can add the two known angles of 55 and 35 and subtract the sum from 180 to get 90°

Answer:

Step-by-step explanation:

option c is correct

product of two numbers can be written as 4x

Answer:

The answer is 5.5 because half of 11 is 5.5 and diameter is half of circumference.

Answer:

5.5

Step-by-step explanation:

diameter=11

radius = diameter÷2

r=11÷2

radius=5.5

Answer:

x= −3 and y= 4

not sure if this is what your looking for tho

Step-by-step explanation:

Answer:

The answer is "[tex](x + 8)^2 = 58[/tex]"

Step-by-step explanation:

Let the equation is:[tex]x^2+16x=-6[/tex]

by adding and subtracting 64 then:

[tex]x^2 + 16x + 64 = -6 + 64\\\\x^2 + 2\times x\times 8 + 64 = -6 + 64\\\\ (x + 8)(x + 8) = 58\\\\ (x + 8)2 = 58[/tex]

Answer:

Step-by-step explanation:

y = ax + b

The trick is to solve for a.

y = 505

x = 8

b = 25

505 = a*8 + 25                Subtract 25 from both sides

-25             -25

480 = 8a

a = 60

What this means is that for each one of the 8 months, he added 60 dollars into his account

The equation is y = 60*x + 25

Answer:

D; 15

Step-by-step explanation:

Because the highest point on the graph is at 15 (or 3 am), that would be the highest temperature. (Also, none of the other choices make sense; they are all at relatively low temperatures).

Answer:

8 °C

Step-by-step explanation:

Step 1: Given data

Initial temperature value (T1): -10 °C

Final temperature value (T2): -2 °C

Step 2: Calculate the change in temperature from the morning to the afternoon

To calculate the change in the temperature, we have to perform the subtraction T2 - T1.

ΔT = T2 - T1 = (-2 °C) - (-10 °C) = -2 °C + 10 °C = 8 °C

The temperature change is positive, meaning that the temperature increased.

Answer:

1) 69 2) 69 3) 60 4) 60 5) 51

Step-by-step explanation:

Triangles have 180 degrees interior and 360 degrees exterior. Knowing this you add all the values within a triangle and subtract it from 180 to find the missing degrees.

For the purple, the green is supplementary which means the other angle will help it equal 180 degrees. the missing green angle is 38. 38+82=120 and 180-120=60. because of vertical angles, angle 2 is 69 and angle 4 is 60. this makes 129 so 180-129=51.

Hope this helps you in some way. if not, sorry i failed you.

Answers

Be sure to use the actual degree symbol instead of typing in "degrees" after each number.

========================================================

Explanation:

To find angle 1, we can use the remote interior angle theorem. The yellow angles you've highlighted (46 and 65) add up to the measure of angle 1, which is an exterior angle. So angle 1 is 46+65 = 111 degrees

The slightly longer method is to make x be the missing angle of the left-most triangle. Solve x+46+65 = 180 to get x = 69 degrees. Then note how angle x and angle 1 are supplementary, meaning x+(angle1) = 180 leads to angle 1 = 111 degrees (because 180-69 = 111)

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

Angle 2 is 69 degrees since angle x = 69, which is a vertical angle to angle 2. Or you could note that angle 1 and angle 2 are supplementary

(angle1)+(angle2) = 180

(111)+(angle2) = 180

angle2 = 180-111

angle 2 = 69 degrees

This method is used to prove the vertical angles theorem is always true.

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

Angle 3 can be found using the remote interior angle theorem, but we'll be going in reverse this time. Let y be the measure of angle 3

y+82 = 142

y = 142-82

y = 60

angle 3 = 60 degrees

Like with angle 1, there's also a slightly longer method that follows the same idea as before. If you follow this method, you'll need to find the missing piece of the green angle you highlighted (which his 180-142 = 38 degrees), then use the idea that A+B+C = 180 where A,B,C are the three interior angles of any triangle.

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

Angle 3 and angle 4 are vertical angles, so they are always congruent and angle 4 is also 60 degrees

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

Let z = measure of angle 5

Focusing on the smaller triangle in the middle, we can say,

(angle2)+(angle4)+(angle5) = 180

(69) + (60) + (z) = 180

z+129 = 180

z = 180-129

z = 51

angle 5 = 51 degrees

Answer:

[tex](g + f)(2) = \sqrt 3 - 3[/tex]

[tex](\frac{f}{g})(-1) = 0[/tex]

[tex](g + f)(-1) = \sqrt{15}[/tex]

[tex](g * f)(2) = -3\sqrt 3[/tex]

Step-by-step explanation:

Given

[tex]f(x) =1 - x^2[/tex]

[tex]g(x) = \sqrt{11 - 4x[/tex]

See attachment

Solving (a): (g + f)(2)

This is calculated as:

[tex](g + f)(2) = g(2) + f(2)[/tex]

Calculate g(2) and f(2)

[tex]g(2) \to \sqrt{11 - 4 * 2} = \sqrt{3}[/tex]

[tex]f(2) = 1 - 2^2 = -3[/tex]

So:

[tex](g + f)(2) = g(2) + f(2)[/tex]

[tex](g + f)(2) = \sqrt 3 - 3[/tex]

Solving (b): [tex](\frac{f}{g})(-1)[/tex]

This is calculated as:

[tex](\frac{f}{g})(-1) = \frac{f(-1)}{g(-1)}[/tex]

Calculate f(-1) and g(-1)

[tex]f(-1) = 1 - (-1)^2 = 0[/tex]

So:

[tex](\frac{f}{g})(-1) = \frac{f(-1)}{g(-1)}[/tex]

[tex](\frac{f}{g})(-1) = \frac{0}{g(-1)}[/tex]

[tex](\frac{f}{g})(-1) = 0[/tex]

Solving (c): (g - f)(-1)

This is calculated as:

[tex](g + f)(-1) = g(-1) - f(-1)[/tex]

Calculate g(-1) and f(-1)

[tex]g(-1) = \sqrt{11 - 4 * -1} = \sqrt{15}[/tex]

[tex]f(-1) = 1 - (-1)^2 = 0[/tex]

So:

[tex](g + f)(-1) = g(-1) - f(-1)[/tex]

[tex](g + f)(-1) = \sqrt{15} - 0[/tex]

[tex](g + f)(-1) = \sqrt{15}[/tex]

Solving (d): (g * f)(2)

This is calculated as:

[tex](g * f)(2) = g(2) * f(2)[/tex]

Calculate g(2) and f(2)

[tex]g(2) \to \sqrt{11 - 4 * 2} = \sqrt{3}[/tex]

[tex]f(2) = 1 - 2^2 = -3[/tex]

So:

[tex](g * f)(2) = g(2) * f(2)[/tex]

[tex](g * f)(2) = \sqrt 3 * -3[/tex]

[tex](g * f)(2) = -3\sqrt 3[/tex]

36

Step-by-step explanation:

5x is 15

x is 3

12 times 3 is 36

Answer:

5x + 2 = 17

5x = 17 - 2

5x = 15

x = 3

Therfore, 12x = 12 (3) = 36

Area = ( lengths )^2

676 = ( lengths )^2

lengths = √676

lengths = 26 cm

Answer:

take out x+60 and = x+54 cross multiply for starters

Answer:

Step-by-step explanation:

Given,

Vertex (h, k ) = (1,0)

Now,

We know,

f(x) = a(x-h)²+k

Since, it passess through (2, −17)

Put x = 2 and  y = - 17

or, -17 = a(2 - 1)² + 0

or, -17 = a

Now,

f(x) = a(x - h)² + k

     = -17(x - 1)² + 0

     = -17x² + 34x - 17

Answer:

Mia has 180 counters

Step-by-step explanation:

if Suzy has 20 counters and Mia has nine times as many as Suzy, we can multiply 20 by 9 (20×9) and get 180