5. Name the property the equation illustrates.

Step-by-step explanation:

Given: slope of line m = 56 & line contain point is (−8,−4).

[tex] \therefore (x_1, \:\: y_1) = (-8, \:\: - 4)[/tex]

Equation of line in slope point form is given as:

[tex]y - y_1 =m(x - x_1) \\ \\ \therefore \: y - ( - 4) = 56 \{x - ( - 8) \} \\ \\ \blue{ \boxed{\therefore \: y + 4= 56 (x + 8) }}\\ ..(this \: is \: the \: equation \: of \: line \: in \: \\ slope \: point \: form)\\ \\ \therefore \: y + 4= 56x + 56 \times 8 \\ \\ \therefore \: y + 4= 56x + 448 \\ \\ \therefore \: y = 56x + 448 - 4 \\ \\ \huge \red{ \boxed{\therefore \: y = 56x + 444 }}\\ ..(this \: is \: the \: equation \: of \: line \: in \: \\ slope \: intercept \: form)[/tex]

Answer:

y+4 = 56(x+8)

Step-by-step explanation:

y-y1 = m(x-x1)

y-(-4) = 56(x-(-8))

y+4 = 56(x+8)

If needed, simply it further

y+4 = 56x+448

y = 56x+444

Answer:

In an isosceles right triangle, the equal sides make the right angle. They have the ratio of equality, 1 : 1. ... Therefore each of those acute angles is 45°.

Step-by-step explanation:

The cost of each ribeye steak dinner is $ 29 and cost of each grilled salmon dinner is $ 20

Solution:

Let "a" be the cost of each ribeye steak dinners

Let "b" be the cost of each grilled salmon dinners

A waitress sold 11 ribeye steak dinners and 12 grilled salmon​ dinners, totaling ​$560.63 on a particular day

Thus we frame a equation as:

11 x cost of each ribeye steak dinners + 12 x cost of each grilled salmon dinners = 560.63

[tex]11 \times a + 12 \times b = 560.63[/tex]

11a + 12b = 560.63 -------- eqn 1

Another day she sold 16 ribeye steak dinners and 6 grilled salmon​ dinners, totaling ​$584.46

Thus we frame a equation as:

16 x cost of each ribeye steak dinners + 6 x cost of each grilled salmon dinners = 584.46

[tex]16 \times a + 6 \times b = 584.46[/tex]

16a + 6b = 584.46 ------------ eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 2 by 2

32a + 12b = 1168.92 ------- eqn 3

Subtract eqn 1 from eqn 3

32a + 12b = 1168.92

11a + 12b = 560.63

( - ) ----------------

21a = 1168.92 - 560.63

21a = 608.29

Divide both sides by 21

[tex]a = 28.96 \approx 29[/tex]

Substitute a = 29 in eqn 1

11(29) + 12b = 560.63

319 + 12b = 560.63

12b = 560.63 - 319

12b = 214.63

Divide both sides by 12

[tex]b = 20.13 \approx 20[/tex]

Thus cost of each ribeye steak dinner is $ 29 and cost of each grilled salmon dinner is $ 20

Answer:

Reflect the parent function over the x-axis, and translate it 8 units to the left.

Step-by-step explanation:

The given function is

[tex]y = - \sqrt{x + 8} [/tex]

The parent function is

[tex]y = \sqrt{x} [/tex]

Since there is a negative multiply the transformed function, there is a reflection in the x-axis.

Since 8 is adding, within the square root, there is a horizontal translation of 8 units to the left.

Therefore to graph the given function, reflect the parent function over the x-axis, and translate it 8 units to the left.

Take the reflection of the graph about the x-axis and then translate the graph of the function by 8 units in the left direction and this can be determined by using the rules of transformation.

Given :

Function  --  [tex]\rm y = - \sqrt{x+8}[/tex]

The following steps can be used in order to determine the correct statement:

Step 1 - The parent function is given below:

[tex]\rm y = \sqrt{x}[/tex]

Step 2 - Now, draw the graph of the parent function.

Step 3 - Take the reflection of the graph about the x-axis. So, the function becomes:

[tex]y =- \sqrt{x}[/tex]

Step 4 - Now, translate the graph of the function obtained in the above step by 8 units in the left direction. So, the function becomes:

[tex]y = -\sqrt{x+8}[/tex]

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/14375099

Answer: b is right

Step-by-step explanation:

Answer:

x=2, y=8. (2, 8).

Step-by-step explanation:

y-2x=4

2x+3y=28

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

y=2x+4

2x+3(2x+4)=28

2x+6x+12=28

8x+12=28

8x=28-12

8x=16

x=16/8

x=2

y-2(2)=4

y-4=4

y=4+4

y=8

Answer:

y=5m-3

Step-by-step explanation:

Answer: 2 is the nearest whole number.

Step-by-step explanation:

b)

|2x−3y| if x=0.5; y=−0.7

Substitute: |2(0.5)-3(-0.7)|

Simplify: |1+2.1|

Simplify: |3.1|

Since it is an absolute value, it will always be positive: 3.1

d)

|−3 |x| +2x−1| if x=−5

Substitute: |-3(|-5|)+2(-5)-1|

Absolute value is positive: |-3(5)+5(-5)-1|

Simplify: |-15-25-1|

Simplify: |-41|

Absolute value always positive: 41

Answer for the first question:

[tex]a)3a+5b~,when~a=-2;b=-1[/tex]

[tex]=(3)(-2)+(5)(-1)[/tex]

[tex]=-11[/tex]

Answer for the second question:

[tex]b)2x-3y~,when~x=0.5;y=-0.7[/tex]

[tex]=(2)(0.5)-(3)(-0.7)[/tex]

[tex]=3.1[/tex]

Answer for the third question:

[tex]c)4a+8-a,~when~a=-2[/tex]

[tex]=(4)(-2)+8-(-2)[/tex]

[tex]=2[/tex]

Answer for the fourth question:

[tex]d)-3x+2x-1,~when~x=-5[/tex]

[tex]=(-3)(-5)+(2)(-5)-1[/tex]

[tex]=4[/tex]

Answer:

62.9mi/hr

Step-by-step explanation:

How far the car is moving is the speed.

We need to calculate the speed given that, the distance traveled is [tex]330\frac{1}{3} \:miles[/tex]

The time given is [tex]5\frac{1}{4}[/tex] hours.

Recall that: [tex]Speed=\frac{Distance}{Time}[/tex]

We plug in the values to get:

[tex]Speed =\frac{330\frac{1}{3} }{5\frac{1}{4} }[/tex]

We simplify to get:

[tex]Speed=\frac{3964}{63} =62.\overline{920634}[/tex]

The prime factorization of 356 is found by dividing it by the smallest prime numbers step by step, leading to the solution of 2×2×89.

The prime factorization of 356 involves breaking down the number into its prime factors, which are numbers that can only be divided by 1 and themselves. To start, we look for the smallest prime number that can divide 356. We find that 2 is the smallest prime factor of 356 (since 356 is an even number).

Dividing 356 by 2, we get 178. Continuing this process, 178 is also even, so we divide by 2 again to get 89. Upon reaching 89, we find that it is a prime number because it cannot be divided evenly by any number other than 1 and itself.

Therefore, the prime factorization of 356 is 2×2×89. This means that 356 can be expressed as a product of these prime numbers.

Answer:

-6-2x

Step-by-step explanation:

Expand:

(x+3)2 = 2x+6

-4(x+3) = -4x-12

2x+6-4x-12 = -6-2x

Answer:

[tex]m=-\frac{39}{80}[/tex]

Step-by-step explanation:

we have

[tex]\frac{2}{5}=2m+\frac{11}{8}[/tex]

Solve for m

That means ----> Isolate the variable m

Multiply both sides by 40 to remove the fractions

Note: 40=(8)(5)

[tex](40)\frac{2}{5}=(40)2m+(40)\frac{11}{8}[/tex]

[tex]16=80m+55[/tex]

subtract 55 both sides

[tex]16-55=80m\\-39=80m[/tex]

Divided by 80 both sides

[tex]m=-\frac{39}{80}[/tex]

Answer:

0.53

Step-by-step explanation:

5/10 + 3/100=0.53

Answer:

0.53

Step-by-step explanation:

5/10 + 3/100

by Elysium

(50 +3)/100

53/100

0.53

Answer:

7x+5y

Step-by-step explanation:

Combine like terms:

5x+2x+(-y)+6y

7x+(6y-y)

7x+5y

Hope this helped!

Answer: 7x+5y

Step-by-step explanation:

(5x-y)+(2x+6y)

5x−y+2x+6y

(5x+2x)+(−y+6y)

7x+5y

Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! I also hope you had a great Superbowl Weekend! :-)

- Cutiepatutie ☺❀❤

Answer:

its 90cm^2

Step-by-step explanation:

hope d answer will help u

Yo sup??

Actually the lenght of the segment won't change cause rotation about origin doesn't affect the lenght of the triangle.

Therefore

ST=S'T'=8 units

Hope this helps.

Answer:

475

Step-by-step explanation:

To find the cost of the bench, subtract 99 from 1049, then divide by 2. Add 99 to the answer(475) to get the cost of the garden table(574).

Answer:

30+(5X12)+2x=90X2x

Step-by-step explanation:

5x12= 60

60+30=90

90x2x

We don't know how many times they use the facility so it stays 2x and you have to times that by 90 since that's the total cost minus the 2x.

Answer:

f(5) = 29

Step-by-step explanation:

Step 1:  Identify the function

f(x) = 4x + 9

Step 2:  Let x equal 5 in the function

f(5) = 4(5) + 9

Step 3:  Multiply

f(5) = 20 + 9

Step 4:  Add

f(5) = 29

Answer:  29

Answer:

[tex]F(x)=29[/tex]

Step-by-step explanation:

Given function:

                 [tex]F(x) = 4x+9[/tex]

                   Find F(x) at , [tex]x= 5[/tex]

The value of 'x' is given for which we have to find the value of F(x)

Putting the given 'x' in the function equation

                      [tex]F(x) = 4x+9\\\\ F(x) = 4(5)+9\\\\ F(x) = 20+9\\\\ F(x) = 29[/tex]

        So , [tex]F(x)=29[/tex] at  [tex]x=5[/tex]

Answer:

the answer is x=6 or x=-16

The correct answer is x = 6 or x = -16.

To find the roots of the quadratic function f(x) = x2 + 10x - 96, we need to solve the equation x2 + 10x - 96 = 0 using the quadratic formula.

Using the quadratic formula, x = (-b ± √(b2 - 4ac)) / 2a, where a = 1, b = 10, and c = -96, we get x = 6 or x = -16 as the roots of the function f(x).

Therefore, the correct answer is x = 6 or x = -16.

Answer:

100=5x+15

x= # of days

Step-by-step explanation:

100 is the total. Then 5 tickets every day whivh would be 5x. And she already sold 15 so u add 5x and 15. (x wold be the amount of days)

Answer:

A(2,3), B(6,4), C(5,8), D(1,7)

Step-by-step explanation:

We were given the initial vertex at (2,3).

We want to create a square using the digits 0 to 9, at most one time each.

Keeping in mind the following properties of a square:

All sides are congruent

All angles are right angles

Hence the other three vertices are: B(6,4), C(5,8), D(1,7)

See attachment.

The question is about forming a square using unique digits from 0 to 9 to form coordinates with one vertex at (2,3). The coordinates of the square are (2,3), (4,3), (4,5) and (2,5) using digits 0,2,3,4 and 5.

This type of problem is a geometric shape puzzle that involves basic principles of coordinate geometry and the usage of digits 0 to 9. Let's consider the point (2,3) as the bottom-left vertex of the square.

We know that a square has all sides equal, so we can choose point (4,3) as the bottom-right vertex (2+2=4), then (4,5) as the top-right vertex (3+2=5), and finally (2,5) as the top-left vertex.

We used the numbers 0,2,3,4,5 from the set of digits from 0 to 9.

https://brainly.com/question/31981318

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To solve the system of equations using substitution, Fina needs to isolate one variable and substitute it into the other equation. The solution to the system of equations is x = -3 and y = -9.

To solve this system of equations using substitution, Fina needs to isolate one variable in one of the equations and then substitute that expression into the other equation.

Here are the steps:

Choose one equation and isolate one variable. Let's isolate x in the first equation: 2x - y = 3. Add y to both sides: 2x = y + 3 and divide by 2: x = (y + 3)/2.

Substitute the expression for x in the other equation. Replace x in the second equation with (y + 3)/2: -1.5((y + 3)/2) + 3y = -18.

Solve the equation for y. Simplify the equation: -1.5y - 4.5 + 3y = -18. Combine like terms: 1.5y - 4.5 = -18. Add 4.5 to both sides: 1.5y = -13.5. Divide by 1.5: y = -9.

Substitute the value of y back into the expression for x to find its value. Replace y in x = (y + 3)/2 with -9: x = (-9 + 3)/2 = -6/2 = -3.

Therefore, the solution to the system of equations is x = -3 and y = -9.

Answer:

It will take the object 2 seconds to reach the maximum height.

Step-by-step explanation:

The original equation is [tex]h=-14t^2+56t+60[/tex].

The object reaches the maximum height when derivative of [tex]h[/tex] is zero

[tex]\frac{dh}{dt}=0[/tex]

So let us take evaluate the derivative of [tex]h[/tex]

[tex]\frac{dh}{dt} =\frac{d}{dt} (-14t^2+56t+60)=\frac{d}{dt} (-14t^2)+\frac{d}{dt}(56t)+\frac{d}{dt} (60)[/tex]

[tex]=-28t+56[/tex]

this must be equal to 0:

[tex]-28t+56=0[/tex]

[tex]t=\frac{-56}{-28}[/tex]

[tex]\boxed{ t=2}[/tex]

It will take the object 2 seconds to reach the maximum height.

Answer:

X Intercept: (-14/9,0) Y intercept: (0,-14)

Step-by-step explanation:

To find the X intercept, plug in y=0... so it would look like this, -9x-14=0, then solve. -9x=14...x=-14/9

To find the Y intercept, plug in x=0...so it would look like this, -9(0)-14=y, then solve. 0-14=y...-14=y

Answer:

The intersection with the x-axis is at B(-14/9,0), and with the y-axis at A(0,-14).

x=0, y=-9x-14, y=-9*0-14, y=-14 A(0,-14)

y=0, y=-9x-14, 0=-9x-14, 0+14=-9x

-9x=14, x=-14/9 B(-14/9,0)

Answer:

b

Step-by-step explanation:

2 x 2 = 4/5

2 x -7 = -14 / 5

Answer:

B) 4/5x-14/5

Step-by-step explanation:

2/5(2x-7)

2/5*2x= 4/5x

2/5*7=14/5

Answer:

81

Step-by-step explanation:

3*3*3*3= 81