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3 years ago

Help quick please with explain

Mathematics

1 answer:

Paul [167]3 years ago

8 0

Answer:

20= v+9+( -16 )

20= v-( 7 )

27= v

Step-by-step explanation:

Adding a negative is the sane as subtracting. Add like terms. Add 7 to both sides. 27= v

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Write the function tan(<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%5Cpi%20%7D%7B4%7D%20-x" id="TexFormula1" title="\frac{3\pi

Alenkasestr [34]

Step-by-step explanation:

$\tan( \frac{3\pi}{4}- x) = \frac{ \tan( \frac{3\pi}{4} ) - \tan(x) }{1 + \tan( \frac{3\pi}{4} ) \tan(x)}$

Since tan(3pi/4) = -1

$\tan( \frac{3\pi}{4}- x) = \frac{ - 1 - \tan(x) }{1 - \tan(x)}$

$= \frac{ \tan(x) + 1}{ \tan(x) - 1}$

3 0

3 years ago

The sum of four consecutive terms of an arithmetic progression is 32 and the ratio of product of the first and the last term to

OverLord2011 [107]

The four consecutive terms are 2,6,10,14.

Explanation:

Let the four consecutive terms of an arithmetic progression be (a - 3d), (a - d),(a + d), (a + 3d)

It is given that the sum of four consecutive terms is 32.

Thus, adding all the four consecutive terms, we have,

$\begin{array}{r}{a-3 d+a-d+a+d+a+3 d=32} \\{4 a=32} \\{a=8}\end{array}$

Thus, the value of a is 8.

It is also given that the ratio of the product of first and last term to the product of the two middle terms is 7:15. Thud, we have,

$\frac{(a-3d)(a+3d)}{(a-d)(a+d)} =\frac{7}{15}$

Simplifying the terms, we have,

$\begin{aligned} \frac{a^{2}-9 d^{2}}{a^{2}-d^{2}} &=\frac{7}{15} \\ 15\left(a^{2}-9 d^{2}\right) &=7\left(a^{2}-d^{2}\right) \\ 15 a^{2}-135 d^{2} &=7 a^{2}-7 d^{2} \\ 8 a^{2} &=128 d^{2} \end{aligned}$

Now, substituting a = 8, we have,

$\begin{aligned} 8(64) &=128 d^{2} \\ 512 &=128 d^{2} \\ 4 &=d^{2} \\ 2 &=d \end{aligned}$

Thus, the value of d is 2.

Now, we shall substitute the value of a and d in the terms (a - 3d), (a - d),(a + d), (a + 3d), we get, the four consecutive terms.

Thus, the four consecutive terms are 2,6,10,14.

8 0

3 years ago

4x^2-x-3=0 solve by completing the square x= ??

PIT_PIT [208]

Hello,

4x²-x-3=0
==>(2x)²-2*1/2*x+1/4-3-1/4=0
==>(2x-1/2)²-13/4=0
==>(4x-1)²-13=0
==>(4x-1-√13)(4x-1+√13)=0
==> x=(1+√13)/4 or x=(1-√13)/4

4 0

3 years ago

1/6 + (-2/9) - (-3) enter the value

SSSSS [86.1K]

Answer:

16+−29−(−3)

=5318(Decimal: 2.944444)

3 0

3 years ago

4 kg of bananas and 3 kg of apples cost £7.50. 3kg of bananas and 5 kg of apples cost £8.10. work out how much 2kg of bananas an

Tanzania [10]

Answer:

£4.20

Step-by-step explanation:

Let :

cost of 1 kg banana = x
cost of 1 kg apple = y

Equations formed :

4x + 3y = 7.50 [Equation 1]
3x + 5y = 8.10 [Equation 2]

Multiply Equation 1 by 5 and Equation 2 by 3 :

20x + 15y = 37.50
9x + 15y = 24.30

Subtract the newly formed equations :

11x = 13.20
x = 1.20

Finding y :

4(1.20) + 3y = 7.50
4.80 + 3y = 7.50
3y = 2.70
y = 0.90

Then :

Cost of 1 kg banana = £1.20
Cost of 1 kg apple = £0.90

Cost of 2 kg bananas and 2 kg of apples :

2(1.20) + 2(0.90)
2(2.10)
£4.20

3 0

2 years ago