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2 years ago

What is 2/3÷-3/5 as an improper fraction

Mathematics

1 answer:

rodikova [14]2 years ago

8 0

Answer: -10/9

Step-by-step explanation: is this what you were looking for

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Proof: sin(x) + cos(x) = √2sin(x + π/4)

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Hello :
sin(x) + cos(x) = √2(1/√2 sin(x) +1/√2 cos(x))
but : 1/√2 = cos(π/4) = sin( π/4)
sin(x) + cos(x) = √2( cos(π/4)sin(x) + sin( π/4) cos(x)) =√2sin(x + π/4)
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3 years ago

Drag the numbers to complete the following statements.

Nitella [24]

Answer:

Step-by-step explanation:49.5

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2 years ago

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Find the surface area of the figure below. Round your answer to the nearest hundredth if necessary,

olya-2409 [2.1K]

A= 2(w l + h l + h w) = 224m^2

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2 years ago

Please answer question three and four if you can :) Show full working out ty;)

nikklg [1K]

Step-by-step explanation:

Let D be the mid point of side BC, [B(2, - 1), C(5, 2)].

Therefore, by mid-point formula:

$D = ( \frac{2 + 5}{2}, \: \: \frac{ - 1 + 2}{2} ) = ( \frac{7}{2}, \: \: \frac{ 1}{2} ) \\ \therefore D= (3.5, \: \: 0.5) \\ \& \: A=(-1,\:\:4)...(given) \\\\ now \: by \: distance \: formula \\ \\ Length \: of \: segment \: AD \\ = \sqrt{( - 1 - 3.5)^{2} + {(4 - 0.5)}^{2} } \\ = \sqrt{(4.5)^{2} + {(3.5)}^{2} } \\ = \sqrt{20.25 + 12.25 } \\ = \sqrt{32.5} \\ \red{ \boxed{\therefore Length \: of \: segment \: AD = 5.7 \: units}}$

4 (a)

Equation of line AB[A(2, 1), B(-2, - 11)] in two point form is given as:

$\frac{y-y_1}{y_1-y_2} =\frac{x-x_1}{x_1 - x_2} \\\\\therefore \frac{y-1}{1-(-11)} =\frac{x-2}{2 - (-2) } \\\\\therefore \frac{y-1}{1+11} =\frac{x-2}{2 +2} \\\\\therefore \frac{y-1}{12} =\frac{x-2}{4} \\\\\therefore \frac{y-1}{3} =\frac{x-2}{1} \\\\\therefore y-1= 3(x - 2)\\\\\therefore y= 3x - 6+1\\\\\therefore y= 3x - 5\\\\ \huge \purple {\boxed {\therefore 3x - y-5=0}} \\$

is the equation of line AB.

Now we have to check whether C(4, 7) lie on line AB or not.

Let us substitute x = 4 & y = 7 on the Left hand side of equation of line AB and if it gives us 0, then C lies on the line.

$LHS = 3x - y-5\\=3\times 4-7-5\\= 12-12\\=0\\= RHS$

Hence, point C (4, 7) lie on the straight line AB.

4(b)

Like we did in 4(a), first find the equation of line AB and then substitute the coordinates of point C in equation and if they satisfy the equation, then all the three points lie on the straight line.

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3 years ago

.75 (x +20)=2 +0.5 (x-2)

nalin [4]

Answer:

i need help too

Step-by-step explanation:

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2 years ago

What is 2/3÷-3/5￼ as an improper fraction

What is 2/3÷-3/5 as an improper fraction