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Tomtit [17]
2 years ago
11

Solve each system by substitution. 1) y= 2x - 16 y= -2

Mathematics
1 answer:
DochEvi [55]2 years ago
7 0

Answer:

x = 7

Step-by-step explanation:

Solve equation [2] for the variable  y

[2]    y = - 2

Plug this in for variable  y  in equation [1]

[1]    (-2) - 2x = -16

[1]     - 2x = -14

Solve equation [1] for the variable  x

[1]    2x = 14

[1]    x = 7

Solution:
y = -2
x = 7

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Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.)
asambeis [7]

Answer:

(15°, 165°)

Step-by-step explanation:

Given the equation 6 sin2(x) = 3, we are to find the value of x that satisfies the equation in the interval  [0, 2π]

Given

6 sin2(x) = 3,

Divide both sides by 6

6 sin2(x)/6 = 3/6

sin2(x) = 1/2

2x = sin^-1(0.5)

2x = 30°

x = 30°/2

x = 15°

Since sin is positive in the second quadrant, x2 = 180-15

x = 165°

Hence the values within the interval are 15 and 165.

(15°, 165°)

7 0
3 years ago
What is the area of a regular octagon with a apothem of 16 inches long and a side of 19 in Long round the answers to the nearest
azamat
To find the area of any regular (regular means all sides are = and all angles are =)  poylgon when you know the length of the apothem and the length of the side you can use the formula:
A = (1/2)ap where a = the length of the apothem and p = the perimeter of the polygon. You can also use n*s in place of p where n = the number of sides of the polygon and s = the length of the side.

A= (1/2)(16)(19*8) (An octagon has 8 sides.)
A = 1216 in^2
3 0
3 years ago
Read 2 more answers
1. If 36 donuts cost $15.00, what would be the cost for one 12 donuts?
hram777 [196]

Answer: $5 their are 36 donuts and 12 x 3 is 36 and 5 x 3 is 15

5 0
2 years ago
If a=under root s(s-a)(s-b)(s-c) then the value of a, when a =3 b =4c = 5 and s =a+b+c by 2
kramer

Answer:

6

Step-by-step explanation:

Here it's given that ,

\sf\red{\longrightarrow} A=\sqrt{s(s-a)(s-b)(s-c)}

Also ,

\sf\red{\longrightarrow} s =\dfrac{a+b+c}{2}

And we need to find out the value of A , when

  • a = 3
  • b = 4
  • c = 5

So , on substituting the respective values to find s we have ,

\sf\red{\longrightarrow} s =\dfrac{3+4+5}{2}=\dfrac{12}{2}=\bf{6}

Now let's find out A as ,

\sf\red{\longrightarrow} A = \sqrt{6(6-3)(6-4)(6-5)} \\

\sf\red{\longrightarrow}A =\sqrt{6 * 3 * 2 * 1}\\

\sf\red{\longrightarrow} A = \sqrt{3^2 * 2^2 *1^2}\\

\sf\red{\longrightarrow}A = 3*2\\

\sf\red{\longrightarrow}\boxed{\qquad \blue{\bf A = 6 \qquad}}

7 0
2 years ago
HURRY PLZZ!!! THIS IS 90 POINTS!!! I WILL MARK BRANLYEST!!!! 2. A ladder is leaning against the outside wall of a building. The
Marina86 [1]

Answer & Step-by-step explanation:

7 0
3 years ago
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