All categories

3 years ago

Are the expressions 3/4a + 8 - 1/4a - 2 and 1/2(a + 12) equivalent? Show why or why not.

Mathematics

1 answer:

natta225 [31]3 years ago

4 0

Answer:Yes they are equivalent.

Step-by-step explanation:

3/4a + 8 - 1/4a - 2 1/2(a + 12)

Combine like terms Distributive property

2/4a+6 1/2a+6

2/4=1/2 (simplify)

1/2+6=1/2+6

You might be interested in

If m∠JKM = 43, m∠MKL = (8 - 20), and m∠JKL = (10x - 11), find each measure.

Brut [27]

Correct Question: If m∠JKM = 43, m∠MKL = (8x - 20), and m∠JKL = (10x - 11), find each measure.

1. x = ?

2. m∠MKL = ?

3. m∠JKL = ?

Answer/Step-by-step explanation:

Given:

m<JKM = 43,

m<MKL = (8x - 20),

m<JKL = (10x - 11).

Required:

1. Value of x

2. m<MKL

3. m<JKL

Solution:

1. Value of x:

m<JKL = m<MKL + m<JKM (angle addition postulate)

Therefore:

$(10x - 11) = (8x - 20) + 43$

Solve for x

$10x - 11 = 8x - 20 + 43$

$10x - 11 = 8x + 23$

Subtract 8x from both sides

$10x - 11 - 8x = 8x + 23 - 8x$

$2x - 11 = 23$

Add 11 to both sides

$2x - 11 + 11 = 23 + 11$

$2x = 34$

Divide both sides by 2

$\frac{2x}{2} = \frac{34}{2}$

$x = 17$

2. m<MKL = 8x - 20

Plug in the value of x

m<MKL = 8(17) - 20 = 136 - 20 = 116°

3. m<JKL = 10x - 11

m<JKL = 10(17) - 11 = 170 - 11 = 159°

3 0

2 years ago

Anton will be constructing a segment bisector with a compass and straightedge, while Maxim will be constructing an angle bisecto

elena-14-01-66 [18.8K]

A bisector is a line that divides either a line or an angle into two proportionate parts or angles. Thus, Anton's bisector would divide the segment into two equal parts, while Maxim's bisector would divide the angle into two equal angles.

The similarities between their construction are:

Intersecting arcs through which the bisector would pass are required.
The arcs are dawn using the same radius of any measure.
The edges of the arc of the given angle, and the ends of the segment are used as centers.

The differences between their construction are:

Anton has to draw two intersecting arcs above and below the segment. While Maxim would draw two intersecting arcs within the lines forming the angles.
Anton's bisector would be perpendicular to the segment, while Maxim's bisector would be at an angle which is half of the initial angle.

Visit: brainly.com/question/17247176

3 0

2 years ago

Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$