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Lady bird [3.3K]
3 years ago
14

Solve the following equation 6x-3=4z+9

Mathematics
2 answers:
Pie3 years ago
8 0

Answer:

z=1.5

Step-by-step explanation:

Simplifying

6z + 3 + -4z = 9

Reorder the terms:

3 + 6z + -4z = 9

Combine like terms: 6z + -4z = 2z

3 + 2z = 9

Solving

3 + 2z = 9

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + 2z = 9 + -3

Combine like terms: 3 + -3 = 0

0 + 2z = 9 + -3

2z = 9 + -3

Combine like terms: 9 + -3 = 6

2z = 6

Divide each side by '2'.

z = 3

Simplifying

z = 3

astra-53 [7]3 years ago
8 0
6386 thank you very much
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Write a sine function that has a midline of 2, an amplitude of 4 and a period of 11.
svetoff [14.1K]

Answer:

y = 4 sin(2π/11 x) + 2

Step-by-step explanation:

y = A sin(2π/T x + B) + C

where A is the amplitude,

T is the period,

B is the phase shift,

and C is the midline.

A = 4, T = 11, and C = 2.  We'll assume B = 0.

y = 4 sin(2π/11 x) + 2

3 0
3 years ago
Work out the area of this circle.
Troyanec [42]

Answer:

36π mm²

Step-by-step explanation:

Formula: πr²

r=radius

r=6

π6²=36π

6 0
2 years ago
What is the area if a triangle with a base of 7x and a height of 8x expresssed as a monomial​
Ede4ka [16]

Answer:

Step-by-step explanation:

Area=\frac{1}{2}*b*h\\\\=\frac{1}{2}*7x*8x\\\\=7x*4x\\\\=28x^{2}

7 0
3 years ago
Write an equation in slope-intercept form that has m = 5/4 through (-4,-3)
timama [110]

Answer:

y=5/4x + 2

Step-by-step explanation:

Ok so in the point (-4,-3) -4 is x and -3 is y. Now, since you have the slope, 5/4, you can put it into an equation. -3= 5/4(-4) + b. When you multiply 5/4 x -4 you get -3=-5 + b so then add 5 to both sides to get rid of it and you have 2=b. And your equation would be y=5/4x + 2

4 0
3 years ago
Find the formula for the area A and the perimeter P of the shape shown find the area and perimeter when R is 5 cm find R when A
Ghella [55]

Answer:

1)Area; A = ¼πr²

Perimeter; P = πr/2 + 2r

2)A = 19.63 cm²

P = 17.85 cm

3) r = 8.885 cm

4) r = 14 cm

Step-by-step explanation:

This is a quadrant of a circle. Thus;

Area of a circle is πr². A quadrant is a quarter of a circle. Thus;

Formula for Quadrant Area is; A = ¼πr²

A) Perimeter of a circle is 2πr. Thus, perimeter of a quadrant is a quarter of the full circle perimeter.

Formula for the quadrant perimeter in the image given is;

P = 2πr/4 + 2r

P = πr/2 + 2r

B) When r is 5 cm;

A = ¼π(5)²

A = 19.63 cm²

P = π(5)/2 + 2(5)

P = 17.85 cm

C) when A is 100cm²:

¼πr² = 100

r² = 100 × 4/π

r² = 78.9358

r = √78.9358

r = 8.885 cm

D) when P = 50 cm.

50 = πr/2 + 2r

50 = (½π + 2)r

r = 50/(½π + 2)

r = 14 cm

6 0
3 years ago
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