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shtirl [24]
3 years ago
14

Find the co efficient of m in the expression of ( m/2-3/2) ( m+2/3)​

Mathematics
1 answer:
Likurg_2 [28]3 years ago
3 0

Answer:

Step-by-step explanation:

We will get m when we multiply (m/2)*(2/3) &  m *(-3/2)

\frac{m}{2}*\frac{2}{3}+m*\frac{-3}{2}=\frac{m}{3}-\frac{3m}{2}\\\\\\=m(\frac{1}{3}-\frac{3}{2})\\\\\\=m(\frac{2}{6}-\frac{9}{6})\\\\\\=\frac{-7}{6}m

Coefficient of m = -7/6

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Solution q-2r=4<br> q+r=37
GenaCL600 [577]
Q-2r=4, therefore: q=4+2r.

Plug the value of q into q+r=37, so you get:

4+2r+r=37

3r=37-4=33

3r=33

Therefore: r=11.

q-2r=4, but r=11, so:

q-2(11)=4

q-22=4

Therefore q=26.

Check if the answer is correct using second equation:

q=4+2r=4+2(11)=4+22=26.

So: q=26 and r=11.


4 0
3 years ago
Read 2 more answers
Transform the given quadratic function into vertex form f(x) = quadratic function into vertex form f(x) = quadratic function int
melisa1 [442]

Answer:

Vertex form: f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}

The vertex is (-\frac{7}{2},-\frac{53}{4})

Step-by-step explanation:

For a general quadratic function the form is:

ax ^ 2 + bx + c

For the function

f(x) = x ^ 2+ 7x -1

The values of the coefficients for the function are the following: a = 1, b =7, c = -1

Take the value of b and divide it by 2. Then, the result obtained squares it.

\frac{b}{2}= \frac{7}{2}

(\frac{b}{2})^2=(\frac{7}{2})^2=\frac{49}{4}

Add and subtract \frac{49}{4}

f(x) = (x ^ 2 +7x +\frac{49}{4}) -\frac{49}{4}- 1

Write the expression of the form

f(x) = (x+\frac{b}{2})^2 +k

f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}

The vertex is (-\frac{7}{2},-\frac{53}{4})

6 0
3 years ago
A salesperson receives 12% commission on all the sales that she makes. Calculate the commission on each sale.
pochemuha

Answer:

isnt the question answered in the question

but lets say she earned 100 dollars she would get 12 dollars

So twelve percent

Step-by-step explanation:

5 0
3 years ago
1-3. Find the center point, the radius and the diameter for the following equation: x² + y2 = 16
kogti [31]

Answer:

Center: (0, 0)

Radius: 4

Step-by-step explanation:

Circle Standard Equation: (x - h)² + (y - k)² = r²

(h, k) is center

r is radius

We see that our <em>h</em> and our <em>k</em> are both 0.

∴ Our center is (0, 0), origin.

We see that our r² = 16

√r² = √16

∴ Our radius is equal to 4

3 0
3 years ago
If I have a triangular prism with the length of 9mm, the base of 6.6 mm, and the height 4 mm or 5.2 mm. What would be the surfac
Lelu [443]

The surface area of triangular prism is 117.12 mm²

<u>Explanation:</u>

Base side, a = 9 mm

Base side, b = 6.6 mm

Base side, c = 5.2 mm

Height, h = 4 mm

Total surface area = ?

We know,

Surface area, A = 2 Ab ( a+b+c) h

Ab = √s(s-a) (s-b) (s-c)

s = a+b+c/2

Solving for A

A = ah + b h + ch + 1/2 √ -a⁴ + 2(ab)² + 2(ac)² - b⁴ + 2 (b c)² - c⁴

A = 9.4 + 6.6 X 4 + 5.2 X 4 + 1//2 √ -9⁴ + 2(9 X 6.6)² + 2(9 X 5.2)² - (6.6)⁴ + 2 (6.6 X 5.2)² - (5.2)⁴

A = 117.12 mm²

Therefore, the surface area of triangular prism is 117.12 mm²

4 0
3 years ago
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