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2 years ago

What is the 78th term of the arithmetic sequence -4, -2, 0,

Mathematics

1 answer:

konstantin123 [22]2 years ago

7 0

Answer:

T78=150

Step-by-step explanation:

Tn=a+(n-1)d

T78=-4+(78-1)2

T78 =-4+(77)2

T78 =-4+154

T78=150

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Which names are other ways to name ∠1?

vesna_86 [32]

∠1 is an angle formed by the two lines PF and YF at point F

We can also call this angle as ∠PFY because it indicates the point F in the middle where the angle is formed

We can call this angle as ∠YFP because it also indicates the point F in the middle where the angle is formed

we can also call this angle ∠F since F is the point where the angle is formed.

Correct answer: ∠PFY, ∠YFP, ∠F

4 0

3 years ago

What is the value of x 24 9 21 14

Fynjy0 [20]

Both of this angles are same side interior angles which means both of this angles when added equal to 180 degrees

5x +15 + 3x - 3 = 180

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2 years ago

Read 2 more answers

An isosceles trapezoid ABCD with height 2 units has all its vertices on the parabola y=a(x+1)(x−5). What is the value of a, if p

horrorfan [7]

Answer:

a = -0.3575

Step-by-step explanation:

The points A and D lie on the x-axis, this means that they are the x-intercepts of the parabola, and therefore we can find their location.

The points A and B are located where

$y=a(x+1)(x-5)=0$

This gives

$x=-1$

$y=5$

Now given the coordinates of A, we are in position to find the coordinates of the point B. Point B must have y coordinate of y=2 (because the base of the trapezoid is at y=0), and the x coordinate of B, looking at the figure, must be x coordinate of A plus horizontal distance between A and B, i.e

$B_x=A_x+\frac{2}{tan(60)} =-1+\frac{2\sqrt{3} }{3}$

Thus the coordinates of B are:

$B=(-1+\frac{2\sqrt{3} }{3},2)$

Now this point B lies on the parabola, and therefore it must satisfy the equation $y=a(x+1)(x-5).$

Thus

$2=a((-1+\frac{2\sqrt{3} }{3})+1)((-1+\frac{2\sqrt{3} }{3})-5)$

Therefore

$a=\frac{2}{((-1+\frac{2\sqrt{3} }{3})+1)((-1+\frac{2\sqrt{3} }{3})-5)}$

$\boxed{a=-0.3575}$

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3 years ago

Find the surface area of the prism. 8ft, 15ft, 17ft,20ft

morpeh [17]

Answer: 1200

Step-by-step explanation:

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2 years ago

What is 35\42 in simplest form

Ostrovityanka [42]

To put a fraction into simplest form, you need to divide both the numerator and the denominator by the GCF of both of these numbers.

35 and 42 have a GCF of 7.

So, if we divide
35/7=5
42/7=6

Therefore, 35/42 in simplest form is 5/6

4 0

3 years ago