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3 years ago

What is the measure of angle x ?

Mathematics

1 answer:

Arada [10]3 years ago

8 0

Answer:

It should either be 69 or 70

Step-by-step explanation:

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Which of the following can be used to represent a loss of $320. -320, 0, 1 over 320, +320

Radda [10]

-320. The negative sign represents loss. In all of the other cases, values are either being added or not changed at all.

4 0

3 years ago

PLEASE HELP ME!!!!!!!

Sidana [21]

He has come from the hole in the roof because the text states that he did not come from a door, a window, or a chimney, and that is the only answer that was left.

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3 years ago

What is the coefficient of the x^5y^5- term in the biomial expansion of (2x-3y)^10

jasenka [17]

Answer:

The coefficient of $x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552$

Solution:

The given expression is $(2 x-3 y)^{10}$

As per binomial theorem, we know,

$(x+y)^{n}=\sum n C_{k} x^{n-k} y^{k}$

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10

Now $x^{5}\times y^5$ will be the 6 term where k =5

Now, $\mathrm{T}_{6}=10 \mathrm{C}_{5} \times(2 \mathrm{x})^{(10-5)} \times(-3 \mathrm{y})^{5}=10 \mathrm{C}_{5} 2^{5} \times \mathrm{x}^{5} \times(-3)^{5} \times \mathrm{y}^{5}$

So, the coefficient of $x^{5} \times y^{5} \text { is }=10\left(5 \times 2^{5} \times(-3)^{5}\right$ .

$10 \mathrm{C}_{5}=\frac{10 !}{5 ! \times(10-5) !}=\frac{10 !}{5 !+5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 !}{5 ! \times 5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6}{5 \times 4 \times 3 \times 2 \times 1}=\left(\frac{30240}{120}\right)=252$

The coefficient of $x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552$

6 0

3 years ago

After 3 hours of of driving, Paul had gone 183 miles. What was his average rate of speed? Explain your answer.

torisob [31]

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$s(av) = \frac{∆x}{∆t} \\$

$s(av) = average \: \: speed$

$∆x = covered \: \: distance$

$∆t = time \: \: of \: \: the \: \: covered \: \: distance \\$

_________________________________

$s(av) = \frac{183}{3} \\$

$s(av) = 61 \: \: \frac{mile}{hour}$

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5 0

2 years ago

PLEASE SHOW ALL YOUR WORK TO GET BRAINLIEST AWARD

krek1111 [17]

7x+2y=5;13x+14y=-1 Solution : {x,y} = {1,-1} System of Linear Equations entered : [1] 7x + 2y = 5 [2] 13x + 14y = -1 Graphic Representation of the Equations : 2y + 7x = 5 14y + 13x = -1 Solve by Substitution :

// Solve equation [2] for the variable y

[2] 14y = -13x - 1 [2] y = -13x/14 - 1/14

// Plug this in for variable y in equation [1]

[1] 7x + 2•(-13x/14-1/14) = 5 [1] 36x/7 = 36/7 [1] 36x = 36

// Solve equation [1] for the variable x

[1] 36x = 36 [1] x = 1

// By now we know this much :

x = 1 y = -13x/14-1/14

// Use the x value to solve for y

y = -(13/14)(1)-1/14 = -1 Solution : {x,y} = {1,-1} Processing ends successfully

8 0

3 years ago