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ipn [44]
3 years ago
12

Can someone help me with this plz

Mathematics
1 answer:
Naily [24]3 years ago
3 0

A. 3n + 4

First Four Terms: 7, 10, 13, 16

Tenth Term: 34:

Plug in 10, 3 x 10 = 30 + 4 = 34

B. 4n - 5

First Four Terms: -1, 3, 7, 11

Tenth Term: 35

Plug in 10, 4 x 10 = 40 - 5 = 35

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Find the side lengths of the triangle in this picture.​
ozzi

Answer:

Hypotenuse: 41 meters, Long leg: 40 meters, Short leg: 9 meters.

Step-by-step explanation:

According to the statement, we have the following information about the lengths of the right triangle:

Hypotenuse

3\cdot x + 14

Long leg

3\cdot x + 13

Short leg

x

By the Pythagoric Theorem, we have the following expression:

(3\cdot x + 14)^{2} = x^{2} + (3\cdot x + 13)^{2} (1)

9\cdot x^{2}+84\cdot x + 196 = x^{2} + 9\cdot x^{2} + 78\cdot x + 169

9\cdot x^{2} + 84\cdot x + 196 = 10\cdot x^{2} + 78\cdot x +169

x^{2} -6\cdot x -27 = 0

(x-9)\cdot (x+3) = 0

As length is a positive variable by nature, then the only possible solution is x = 9. Lastly, the side lengths of the right triangle are:

Hypotenuse: 41 meters, Long leg: 40 meters, Short leg: 9 meters.

8 0
2 years ago
Andrea does not understand why if x is a solution to the equation 3-x=4 then x is also a solution to the equation 12=9-3x. Write
Strike441 [17]

Answer:

Both equations are same

Step-by-step explanation:

The reason why this is true is not far fetched

looking at the first equation, we have;

3-x = 4

we can also factorize the second equation to look this way

By this, we shall be having

3(4) = 3(3-x)

By the time we take out the 3 from both sides, we will have the initial equation

So what we are saying is that both equations are the same

6 0
2 years ago
Theo started to solve the quadratic equation (x + 2)^2 – 9 = –5. He added 9 to both sides and the resulting equation was (x + 2)
Sliva [168]
When we take the square root of each side, the equation would become:
abs (x+2) = 2
⇒ x+2 = <span>±2.

The final answer is </span><span>x + 2 = ±2.
</span>
Hope this helps~



6 0
3 years ago
Read 2 more answers
A hotel offers two activity packages. One costs $192 and includes 3 h
poizon [28]

Let x = Horseback riding and y = Parasailing

Eq. 1

3x + 2y = 192

Eq. 2

2x + 3y = 213

By elimination:

<span>     2(3x + 2y = 192)</span>

+ -3(2x + 3y = 213)

<span>              -5y = - 255</span>

y = $ 51

Substitute y :

3x + 2y = 192

3x + 2(51) = 192

<span>x = $ 30
</span>


<span>Hope this answer will be a good help for you.</span>

3 0
3 years ago
I need help please someone please!
Svetach [21]

Answer:it the 3rd one

Step-by-step explanation:

I done this

8 0
3 years ago
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