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Delvig [45]
3 years ago
14

Find the difference of the two expressions (1/2 x +2) - (2/3 x -6)

Mathematics
1 answer:
icang [17]3 years ago
5 0

Answer:

-1/6 + 8

Step-by-step explanation:

(1/2x + 2) - (2/3x - 6)

apply distributive property

1/2x + 2 - 2/3x + 6

add like terms. add 1/2x and -2/3x together and then add 2 and 6 together

3/6 + 2 - 4/6 + 6

-1/6 + 8

-1/6 + 8 is your answer. i hope this helps, let me know if i got something wrong :)

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Angle dfg and angle fkl are complementary angles, m angle dfg= x+4, and m anlge jkl = x+10 . Find the measure of each angle
BARSIC [14]

Answer:

42° and 48°

Step-by-step explanation:

Complementary angles sum to 90°, hence

x + 10 + x + 4 = 90

2x + 14 = 90 ( subtract 14 from both sides )

2x = 76 ( divide both sides by 2 )

x = 38

x + 10 = 38 + 10 = 48° and x + 4 = 38 + 4 = 42°


4 0
4 years ago
Use the compound angle formulae to find the following in surd form: tan 225°​​
andreyandreev [35.5K]

Answer:

On the trig unit circle,

tan 225 = tan (45 + 180) = tan 45 = 1

8 0
3 years ago
20 points! I would really like some help! :) (Question attached below)
snow_lady [41]

Answer:

See below.

Step-by-step explanation:

(a)

To multiply two polynomials, multiply every term of the first polynomial by every term of the second polynomial. Then combine like terms.

(\dfrac{1}{2}x - \dfrac{1}{4})(5x^2 - 2x + 6) =

= \dfrac{1}{2}x \times 5x^2 - \dfrac{1}{2}x \times 2x + \dfrac{1}{2}x \times 6 - \dfrac{1}{4} \times 5x^2 + \dfrac{1}{4} \times 2x - \dfrac{1}{4} \times 6

= \dfrac{5}{2}x^3 - x^2 + 3x - \dfrac{5}{4}x^2 + \dfrac{1}{2}x - \dfrac{3}{2}

= \dfrac{5}{2}x^3 - \dfrac{9}{4}x^2 + \dfrac{7}{2}x - \dfrac{3}{2}

(b)

No. Since the binomials are different, the product of two different binomials and the same trinomial will give different results.

4 0
3 years ago
Write an equation in slope-intercept form of the line that passes through the given points.(3,5) and (0,4) please answer with al
alukav5142 [94]

Answer:

Y = (1/3)X + 4  

Step-by-step explanation:

You need to know the equation Y = mX + b, for two sets of coordinates

Therefore we need to find the slope and the interception of the given points.

1) The slope of the line

We can use the point slope form, and clear for the slope m

y - y1 = m (x-x1)

m = (y -y1) / (x -x1)

The data given is: A (3, 5) and B (0, 4)

Then substitute in the slope: m = (5 -4)) / (3 -0) = (1/3)

m = 1/3

2) Find the interception

From the general  equation slope intercept  Y = mX + b, clear b

b = Y - mX

Now substitute any given point to obtain b the interception

b = Y - mX

Lets choose point A (3, 5), remember m = 1/3

b =5 - (1/3)(3)= 4

b = 4

3) Therefore with the values of m and b, the general equation for the slope intercept form is:

Y = mX + b   -->  

Y = (1/3)X + 4  

7 0
3 years ago
7. Find the slope-intercept form of the equation of the line that passes through
KATRIN_1 [288]

Answer:

y=-2x+2

Step-by-step explanation:

If you bring the 4x to the other side by subtracting it, you will have 2y=-4x+8

then divide by the 2 to get y=-2x=4

then you substitute the 5 in for y and the -1 in for x. multiply and then subtract

7 0
4 years ago
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