Solve the linear system below using the substitution method.
y = 5x – 22
3x +2y=34

Answer:

Step-by-step explanation:

Apply the Distributive Rule

3(6x+2) = 3·6x + 3·2 = 18x + 6

Answer:

The length of the ladder is 7.21 feet

Step-by-step explanation:

Let

y = Height of the wall

x = Distance between the wall and the ladder (bottom)

L = Length of the ladder

So, the given parameters are:

[tex]\frac{dy}{dt} = -2ft/s[/tex]

When [tex]x = 4; \frac{dx}{dt} = 3ft/s[/tex]

The ladder, the wall and the ground forms a right-angled triangle where the hypotenuse is the length of the ladder; So:

[tex]L^2 = x^2 + y^2[/tex]

Differentiate with respect to time

[tex]2L\frac{dL}{dt} = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]

The length of the ladder does not change with time. So:

[tex]2L*0 = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]

[tex]0 = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]

Rewrite as:

[tex]2x\frac{dx}{dt} =- 2y\frac{dy}{dt}[/tex]

Divide both sides by 2

[tex]x\frac{dx}{dt} =- y\frac{dy}{dt}[/tex]

Recall that:

[tex]\frac{dy}{dt} = -2ft/s[/tex] and  [tex]x = 4; \frac{dx}{dt} = 3ft/s[/tex]

So:

[tex]4 * 3 = -y * -2[/tex]

[tex]12 = 2y[/tex]

[tex]6 = y[/tex]

[tex]y = 6[/tex]

Substitute [tex]y = 6[/tex] and [tex]x =4[/tex] in: [tex]L^2 = x^2 + y^2[/tex]

[tex]L^2 =4^2 + 6^2[/tex]

[tex]L^2 =52[/tex]

[tex]L = \sqrt{52[/tex]

[tex]L = 7.21ft[/tex]

Answer:

400

Step-by-step explanation:

3600/9=400

36/9=4

add the zeros back in after

Answer:

400

Step-by-step explanation:

I hope this helps you

Answer:

1200

Step-by-step explanation:

1,500-300=1200

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can use the pythogorean theorem which is,

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

Where c = Hypotenuse

b and a = Legs of the triangle

We have to find the hypotenuse. So let's keep the value of it as x.

we can form an algebraic equation to solve for x

[tex] {15}^{2} + {8}^{2} = {x}^{2} \\ 225 + 64 = {x}^{2} \\ 289 = {x}^{2} \\ x = \sqrt{289} \\ x = 17[/tex]

Answer:

10 - 2x

Step-by-step explanation:

3x + 8 + - 5x + 2​

- 2x + 8 + 2

10 - 2x

Answer:

-2x+10

Step-by-step explanation:

Combine the variables

-5x+3x= -2x

Combine the other numbers

 8+2= 10

-2x+10

Answer:

A - they are vertical angles so they are equal to each other

b - dont really know this one

c - y=24 and 7 and 8 = 89

Step-by-step explanation:

You messed up because the angles given are not supplementary the angles given that are next to 7 and 8 are vertical then we can setup an equation which would be 5y-29=3y+19 and solve for y

step 1 add 29 to each side

5y=3y+48

step 2 subtract each side by 3y

2y=48

step 3 divide each side by 2

y=24

then we plug in 24 to one of the expressions

5(24)=120

120-19=101

but we are not done yet because it is asking for the value of angle 7 and 8

because angle 7 is supplementary to both all we have to do is subtract 101 from 180

180-101=89 so 7 and 8 =89

hope this helps :D

Answer:

164 ft squared

Step-by-step explanation:

Answer:

B) (5, -3)

Step-by-step explanation:

9514 1404 393

Answer:

  z = 47 at (x, y) = (3, 8)

Step-by-step explanation:

In the attached graph, the inequalities are graphed as their opposites, so the feasible solution region is the white area of the graph. The dashed boundary lines are part of the feasible region. The vertex of the feasible region that is farthest from the origin is ...

  (x, y) = (3, 8)

The value of z there is 5·3 +4·8 = 47.

The maximum value of z is 47 at the point (x, y) = (3, 8).

Answer:

B. 20

Step-by-step explanation:

We need to find a common denominator for 1/5, 1/3, and 3/10, which would be 30. 1/5 = 6/30, 1/3 = 10/30, and 3/10 = 9/30. If we add these together we get 25/30. This leaves 5/30 covered in sprinkles.

Now we need to find what 5/30 of 120 is. We can simplify 5/30 to 1/6. 120 divided by 6 is 20. So, 20 apples are covered in sprinkles.

Answer:

it"s B

Step-by-step explanation:

I just don't have the energy to explain why.  sorry pls dont get me banned

Answer:

Answer:

y=2/3x+7

Step-by-step explanation:

y-y1=m(x-x1)

y-11=2/3(x-6)

y=2/3x-12/3+11

y=2/3x-4+11

y=2/3x+7

Answer:

2

Step-by-step explanation:

6x2=12

6z=12=2

12/2=6

Answer:

a term

Step-by-step explanation:

Answer:

it is 4.6 sorry girl

Step-by-step explanation:

Answer:

Step-by-step explanation:

4.6=4 3/5=23/5

Answer:

B is the correct answer hope this helps!

Answer:

x ≤ 1

Step-by-step explanation:

8 + 4x [tex]\geq[/tex] 12

4x [tex]\geq[/tex] 12 - 8

4x ≥ 4

Dividing both sides by 4 gives;

x ≤ 1

Answer:

786240 different license plates.

Step-by-step explanation:

The required number of plates that can be used is 2,599,974.

Given that,
State-issued license plates use the scheme of one letter followed by five digits, how many plates could it used is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Maxium five-digit number = 99999
Total letters = 26
Number of plates = 26 × 99999 = 2,599,974

Thus, the required number of plates that can be used is 2,599,974.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

Step-by-step explanation:

y=-4x+2

Answer:

y=2x-4

Step-by-step explanation:

Becuase the x axis croses -4, so you would draw a line starting at the bottom through negative 4. Then since their is a positive 2 you would keep drawing the line on the untill you see a 2 which would be on the y axis.

Answer:

c

Step-by-step explanation:

gefhhfeyjhtwgi15287

Answer:105.8

Step-by-step explanation: you dived

Answer:try this if u can 1330

Step-by-step explanation:

Triangular prisms

Remember the formula for calculating volume is: Volume = Area by height. V = A X h.

For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.

So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h

Answer:

760in^3

Step-by-step explanation:

You multiple length x width x height

which is 19x10x14

2660 in^3

Answer:

give me sec waitttttttt give me sec