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asambeis [7]
3 years ago
5

Solve equation W=a+2 z=a

Mathematics
1 answer:
MissTica3 years ago
4 0

Answer:

Yyy

Step-by-step explanation:

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Colin invests £5000 into his bank account.
blondinia [14]

6500

Step-by-step explanation:

10% of 5000 is 500. So 500 × 3(years) would be 1500. Add that with the 5000 and you'd get 6500.

6 0
3 years ago
Cora has 1/2 hour to do 5chores. She palns to spend the same fraction of an hour on each chore. She wants to use the number line
kiruha [24]
Hi! So to find this answer, you could do it two ways. Firstly, you could spend a major amount of time doing this in your head. Or second, you could use a calculator and do 30/5. This would give you 6. So 6 minutes on each chore.
4 0
3 years ago
Read 2 more answers
Write a system of linear equations for the graph below
Serjik [45]

Answer:

y = -3x + 3

y=\frac{1}{3}x-7

Step-by-step explanation:

Slope of a line passing through two points (x_1, y_1) and (x_2, y_2) is determined by the formula,

Slope = \frac{(y_2-y_1)}{(x_2-x_1)}

If these points are (0, 3) and (3, -6),

Slope of the line passing through these lines = \frac{3+6}{0-3} = (-3)

Equation of the line which passes through (0, 3) and slope = (-3),

y - y' = m(x - x')

y - 3 = (-3)(x- 0)

y - 3 = -3x

y = -3x + 3

Now slope of another line that passes through (3, -6) and (0, -7),

m' = \frac{(-6+7)}{(3-0)}

m' = \frac{1}{3}

Equation of the line that passes through (0, -7) and slope = \frac{1}{3}

y - (-7) = \frac{1}{3}(x-0)

y + 7 = \frac{1}{3}x

y = \frac{1}{3}x-7

Therefore, system of linear equations are,

y = -3x + 3

y=\frac{1}{3}x-7

7 0
3 years ago
The shortest distance from the center of the inscribed circle to the triangles sides is the circle's ______.
almond37 [142]
B) Radius

Diameter is from side to side
Circumference is around the circle
Tangent is a line that touches another line without crossing
7 0
3 years ago
Read 2 more answers
How do you solve x for (x+5)^3/2 = ( x-1)^3
malfutka [58]

Answer:

x = 6 (2^(1/3) + 2^(2/3)) + 7 or x = 6 (-2)^(1/3) ((-1)^(1/3) - 2^(1/3)) + 7 or x = 6 (-2)^(1/3) ((-2)^(1/3) - 1) + 7

Step-by-step explanation:

Solve for x:

1/2 (x + 5)^3 = (x - 1)^3

Expand out terms of the right hand side:

1/2 (x + 5)^3 = x^3 - 3 x^2 + 3 x - 1

Subtract x^3 - 3 x^2 + 3 x - 1 from both sides:

1 - 3 x + 3 x^2 - x^3 + 1/2 (x + 5)^3 = 0

Expand out terms of the left hand side:

-x^3/2 + (21 x^2)/2 + (69 x)/2 + 127/2 = 0

Bring -x^3/2 + (21 x^2)/2 + (69 x)/2 + 127/2 together using the common denominator 2:

1/2 (-x^3 + 21 x^2 + 69 x + 127) = 0

Multiply both sides by 2:

-x^3 + 21 x^2 + 69 x + 127 = 0

Multiply both sides by -1:

x^3 - 21 x^2 - 69 x - 127 = 0

Eliminate the quadratic term by substituting y = x - 7:

-127 - 69 (y + 7) - 21 (y + 7)^2 + (y + 7)^3 = 0

Expand out terms of the left hand side:

y^3 - 216 y - 1296 = 0

Change coordinates by substituting y = z + λ/z, where λ is a constant value that will be determined later:

-1296 - 216 (z + λ/z) + (z + λ/z)^3 = 0

Multiply both sides by z^3 and collect in terms of z:

z^6 + z^4 (3 λ - 216) - 1296 z^3 + z^2 (3 λ^2 - 216 λ) + λ^3 = 0

Substitute λ = 72 and then u = z^3, yielding a quadratic equation in the variable u:

u^2 - 1296 u + 373248 = 0

Find the positive solution to the quadratic equation:

u = 864

Substitute back for u = z^3:

z^3 = 864

Taking cube roots gives 6 2^(2/3) times the third roots of unity:

z = 6 2^(2/3) or z = -6 (-1)^(1/3) 2^(2/3) or z = 6 (-2)^(2/3)

Substitute each value of z into y = z + 72/z:

y = 6 2^(1/3) + 6 2^(2/3) or y = 6 (-1)^(2/3) 2^(1/3) - 6 (-1)^(1/3) 2^(2/3) or y = 6 (-2)^(2/3) - 6 (-2)^(1/3)

Bring each solution to a common denominator and simplify:

y = 6 (2^(1/3) + 2^(2/3)) or y = 6 (-2)^(1/3) ((-1)^(1/3) - 2^(1/3)) or y = 6 (-2)^(1/3) ((-2)^(1/3) - 1)

Substitute back for x = y + 7:

Answer: x = 6 (2^(1/3) + 2^(2/3)) + 7 or x = 6 (-2)^(1/3) ((-1)^(1/3) - 2^(1/3)) + 7 or x = 6 (-2)^(1/3) ((-2)^(1/3) - 1) + 7

7 0
3 years ago
Read 2 more answers
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