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____ [38]
3 years ago
8

If A=1/2h(x+y), what is y in terms of A, h, and x?

Mathematics
1 answer:
lapo4ka [179]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

Given

A = \frac{1}{2} h(x + y)

Multiply both sides by 2 to eliminate the fraction

2A = h(x + y) ( divide both sides by h )

\frac{2A}{h} = x + y ( subtract x from both sides )

y = \frac{2A}{h} - x

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Find the first term and the common ratio <br>third term =6 and seventh term= 96​
mamaluj [8]

Answer:

First term a₁ = 3/2 and common ratio r = 2

Step-by-step explanation:

We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96

Since common ratio is required so, the sequence is geometric sequence

The formula used is: a_n= a_1r^{n-1}

We are given: third term = 6 i,e

a_3=a_1r(3-1)\\6=a_1r^2----eq(1)

Seventh term = 96

a_7=a_1r(7-1)\\96=a_1r^6----eq(2)

Dividing eq(2) and eq(3)

\frac{96}{6}=\frac{a_1r^6}{a1r2}\\16=\frac{r^6}{r^2}\\16=r^{6-2}\\=> r^4=16\\Taking \ fourth \ root\\ r=2,-2,2i,-2i\\ \ We \ will \ consider \ only \ positive \ value \ of \ r \ i.e \ \textbf{ r= 2}

So, Common Ratio r = 2

Finding First term using eq(1)

a_3=a_1r^2\\6=a_1(2)^2\\6=a_1(4)\\a_1= \frac{6}{4}\\a_1= \frac{3}{2}

So, First term a₁ = 3/2 and common ratio r = 2

6 0
3 years ago
If sin(x) 1/10 what is tangent(x)
coldgirl [10]
Sin(x) =1/10

So Cos x is not known

Hence Tan(x) = Sin(x)/Cos(x)

= 1/10/cos(x)

so cos(x)/10
5 0
4 years ago
Graph the system of equations. then determine wheather the system has no solution, one solution, or infinitely many solutions. I
dimaraw [331]

Answer:

See below in bold.

Step-by-step explanation:

If we add the 2 equations  we eliminate x  and we get 2y =2.

So y = 1.

Substituting y = 1 in the second equation 1 = x - 3.

So x = 4.

A. One solution: (4, 1).

If we drew a graph we would have 2 lines which intersect at the point (4, 1).

8 0
4 years ago
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What is the quotient of 895.32 and 102 ?
TEA [102]

Step-by-step explanation:

the answer is 8 just divide lol

7 0
3 years ago
Point (-1, 3) lie on a line with a slope of 4, what is the equation of the line?
sukhopar [10]

Answer: y-3=4(x+1) in point-slope form and y=4x+7 in slope intercept form

Step-by-step explanation:

You can find the point-slope form by plugging the numbers into the following: y-y₁=m(x-x₁).

You will end up with y-(3)=(4)(x-(-1)) which when simplified equals y-3=4(x+1).

To find slope intercept form you know need to isolate y and simplify.

Adding 3 to both sides results in y=4(x+1)+3.

If you then distribute you get y=4x+4+3 which simplifies to y=4x+7.

7 0
3 years ago
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