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Sidana [21]
3 years ago
6

Area 10 points plz h

Mathematics
1 answer:
Sedaia [141]3 years ago
3 0

Answer:

The triangle area equals to 190 ft :)

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Solve the system. find x,y, and z please show all steps<br><br> x-y+z=1<br> x+y+3z=-3<br> 2x-y+2z=0
Mariulka [41]

Solving the system we get, x= -1, y= -2 and z= 0

Step-by-step explanation:

Solving the equations to find x, y and z

x-y+z=1\,\,\,eq(1)\\x+y+3z=-3\,\,\,eq(2)\\2x-y+2z=0\,\,\,eq(3)

Adding eq(1) and eq(2)

x-y+z=1\\x+y+3z=-3\\--------\\2x+4z=-2\,\,\,\,eq(4)\\

Adding eq(2) and eq(3)

x+y+3z=-3\\2x-y+2z=0\\----------\\3x+5z=-3\,\,\,eq(5)

Multiplying eq(4) by 3 and eq(5) by 2

6x+12z=-6\\6x+10z=-6\\-\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,+\\----------\\2z=0\\z=0

So, value of z =0

Putting value of z in eq(4)

2x+4z=-2\\2x+4(0)=-2\\2x=-2\\x=-1

So, value of x = -1

Now putting value of z=0 and x =-1 in equation 1

x-y+z=1\\-1-y+0=1\\-y=1+1\\-y=2\\y=-2

So, value of y = -2

So, solving the system we get, x= -1, y= -2 and z= 0

Keywords: Solve the system

Learn more about Solve the system at:

  • brainly.com/question/6075514
  • brainly.com/question/2386054
  • brainly.com/question/7361044

#learnwithBrainly

7 0
3 years ago
-9 − f − 7 = -7f + 8
Alex73 [517]
Answer: 4

Step by step explanation

-9-f-7=-7f+8
7f-f=9+8+7
6f=24
f=24/6
f=4
3 0
3 years ago
Find the value of x and the value of y.
stepladder [879]

Answer:

the 3rst one

Step-by-step explanation:

4 0
3 years ago
Solve this identity, where the angles involved are acute angles.
Bas_tet [7]

We have proven that the trigonometric identity [(tan θ)/(1 - cot θ)] + [(cot θ)/(1 - tan θ)] equals 1 + (secθ * cosec θ)

<h3>How to solve Trigonometric Identities?</h3>

We want to prove the trigonometric identity;

[(tan θ)/(1 - cot θ)] + [(cot θ)/(1 - tan θ)] = 1 + sec θ

The left hand side can be expressed as;

[(tan θ)/(1 - (1/tan θ)] + [(1/tan θ)/(1 - tan θ)]

⇒ [tan²θ/(tanθ - 1)] - [1/(tan θ(tanθ - 1)]

Taking the LCM and multiplying gives;

(tan³θ - 1)/(tanθ(tanθ - 1))

This can also be expressed as;

(tan³θ - 1³)/(tanθ(tanθ - 1))

By expansion of algebra this gives;

[(tanθ - 1)(tan²θ + tanθ.1 + 1²)]/[tanθ(tanθ(tanθ - 1))]

Solving Further gives;

(sec²θ + tanθ)/tanθ

⇒ sec²θ * cotθ + 1

⇒ (1/cos²θ * cos θ/sin θ) + 1

⇒ (1/cos θ * 1/sin θ) + 1

⇒ 1 + (secθ * cosec θ)

Read more about Trigonometric Identities at; brainly.com/question/7331447

#SPJ1

3 0
1 year ago
Read 2 more answers
The sum of two consecutive numbers is -165. Find the value of the smaller number.
Svetllana [295]

Answer:

-83

Step-by-step explanation:

x+(x+1)=number

x+(x+1)=-165

2x+1=-165

-1         -1

2x=-166

/2     /2

x=-83

We can check our work by adding -83+-82=-165 because -83 would be the smaller number.

-83.

7 0
2 years ago
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