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prohojiy [21]
3 years ago
6

Solve this system of equations using substitution

Mathematics
2 answers:
Anastaziya [24]3 years ago
4 0

Answer:

x + 2(-4) = 10

Step-by-step explanation:

Substituting -4 for y in the second equation results in x + 2(-4) = 10.  This simplifies to x - 8 = 10 and then x = 18.

Please, when the problem statement includes possible answer choices, share them.

galina1969 [7]3 years ago
3 0

Answer:

x + 2(-4) = 10

x - 8 = 10

x = -18

y = -4

(-18, -4)

Step-by-step explanation:

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LM=9, NR=16, SR=8. Find the perimeter of △SMP.
Amanda [17]

Answer:

<h2>perimeter of △SMP = 25</h2>

Step-by-step explanation:

The perimeter of the triangle △SMP is the sum of al the sides of the triangle.

Perimeter of △SMP = ||MS|| + ||MP|| + ||SP||

Note that the triangle △LRN, △LSM, △MPN and △SRP are all scalene triangles showing that their sides are different.

Given LM=9, NR=16 and SR=8

NR = NP+PR

Since NP = PR

NR = NP+NP

NR =2NP

NP = NR/2 = 16/2

NP = 8

From △LSM,  NP = PR = <u>MS</u><u> = 8</u>

Also since LM = MN, MN = 9

From △SRP, SR = RP = <u>PS =  9</u>

Also SR =<u> MP = 8</u>

From the equation above, perimeter of △SMP = ||MS|| + ||MP|| + ||SP||

perimeter of △SMP = 8+8+9

perimeter of △SMP = 25

5 0
3 years ago
Which of the following is the closest to the total surface area of the this box?
GalinKa [24]

Answer:

52 ft

Step-by-step explanation:

the answer is c

5 0
3 years ago
Read 2 more answers
Help pls, math due tonight :(
Olenka [21]

9514 1404 393

Answer:

  • 40 ft
  • t = 1 second

Step-by-step explanation:

A graphing calculator answers these questions easily.

The ball achieves a maximum height of 40 ft, 1 second after it is thrown.

__

The equation is usefully put into vertex form, as the vertex is the answer to the questions asked.

  h(t) = -16(t^2 -2t) +24

  h(t) = -16(t^2 -2t +1) +24 +16 . . . . . . complete the square

  h(t) = -16(t -1)^2 +40 . . . . . . . . . vertex form

Compare this to the vertex form:

  f(x) = a(x -h)^2 +k . . . . . . vertex (h, k); vertical stretch factor 'a'

We see the vertex of our height equation is ...

  (h, k) = (1, 40)

The ball reaches a maximum height of 40 feet at t = 1 second after it is thrown.

8 0
3 years ago
V = <img src="https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D" id="TexFormula1" title="\frac{4}{3}" alt="\frac{4}{3}" align="absmi
motikmotik

Answer:

The radius of the sphere is 6\ cm

Step-by-step explanation:

we know that

The volume of a sphere is equal to

V=\frac{4}{3}\pi r^{3}

In this problem we have

V=288\pi\ cm^{3}

substitute and solve for r

288\pi=\frac{4}{3}\pi r^{3}

simplify

288*3/4=r^{3}

r^{3}=216

r=6\ cm

7 0
3 years ago
Just need some advice
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