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3 years ago

A=1/2h(a+b) what is h

Mathematics

1 answer:

Ilya [14]3 years ago

6 0

Answer:

$h = \frac{2 A}{(a + b)}$

Step-by-step explanation:

$A = \frac{1}{2} h(a + b) \\ \\2 A = h(a + b) \\ \\ \frac{2 A}{(a + b)} = h \\ \\ \huge \red{ \boxed{h = \frac{2 A}{(a + b)} }}$

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What is the 8th term in the sequence? an=25−3n

Andru [333]

Answer:

Step-by-step explanation:

$\text{Put}\ n=8\ \text{to the sequence}\ a_n=25-3n:\\\\a_8=25-3(8)=25-24=1$

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4 years ago

Write an explicit rule for the nth term of the sequence 64,48,36,27

melisa1 [442]

Answer:

aₙ = 64(3/4)ⁿ⁻¹

Step-by-step explanation:

Given sequence:

64, 48, 36, 27

We can observe that:

27/36 = 3/4
36/48 = 3/4
48/64 = 3/4

This is a GP with the first term of 64 and common ratio of 3/4.

The equation for the nth term is:

aₙ = 64(3/4)ⁿ⁻¹

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3 years ago

Identify the vertex and the axis of symmetry of the parabola. HELP PLEASE!!!

jeka94

We know that the graph goes in units of 1.

We know that the roots are -1 and 4. (Just assume it's accurate and not off by 0.0000000001.)

We can set it up as an equation: -1(x+1)(x-4) = y (I added -1 because there are two parabolas that go through those points on the x-axis, and since this parabola is facing down, I must add a negative a value.

Then multiply (F.O.I.L. - First, Outer, Inner, Last)

x^2 -4x + x - 4 = -(x^2 - 3x - 4) = -x^2 + 3x + 4

Then using -(b/2a) solve for vertex: -(3/-2) = 3/2

Plug 3/2 back into the equation.

-(3/2)^2 + 3(3/2) + 4 = -9/4 + (9/2) + 4 = 25/4

The vertex would be: (3/2, 25/4)

Axis of symmetry would be: x = 3/2

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4 years ago

kinsey jogs a 2 mile fitness trail. she stops to do stretching exercises every 1/5 mile. hote meant times does kinsey stop joggi

Fynjy0 [20]

Answer:

10 times

Step-by-step explanation:

Since every 1/5 of a mile she stops, that means she stops 5 times every mile. Multiply 5x2 because she jogged 2 miles, and the answer is 10!

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3 years ago

Y is directly proportional to x when x=540 y=10 calculate the value of y when x=540.

zhuklara [117]

Answer:

Step-by-step explanation:

Y should still be 10 since x is 540

3 0

3 years ago