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Vladimir79 [104]

4 years ago

10

Which is the 9th term of the sequence which has a first term of 1 and has a common ratio of 1.5

2 answers:

noname [10]4 years ago

5 0

Hey!
So what you can do is:
1 x 1.5 = 1.5(2nd term)
1.5 x 1.5=2.25(3rd term) x 1.5=3.375(4th term) x 1.5 = 5.0625(5th term)

5.0625 x 1.5=7.59375(6th term)x1.5=<span> 11.390625

</span>11.390625 x1.5= 17.0859375(8th term)x1.5=<span> 25.62890625</span>(9th term)

The answer is D!
Hope this helps!

Anika [276]4 years ago

3 0

The sequence would go:
1, 2.5, 4, 5.5, 7, 8.5, 10, 11.5, 13, 14.5

The 9th term should be 13

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Akimi4 [234]

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3 years ago

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The coordinates of the vertices of quadrilateral ABCD are A(0, −4) , B(−4, 3) , C(3, 4) , and D(6, −1) . Drag and drop the choic

Art [367]

Answer:

The slope of AB is -7/4, the slope of BC is 1/7 , the slope of CD is 5/3, and the slope of AD is 2. So, Quadrilateral ABCD is neither a parallelogram nor a trapezoid because neither pair of opposite sides are parallel.

Step-by-step explanation:

Since, a quadrilateral having,

One pair of parallel opposite sides is Trapezoid,

While, having two pair of parallel opposite sides is parallelogram.

Since, the slope of a line segment having the end points $(x_1, y_1)$ and $(x_2, y_2)$ is,

$m=\frac{y_2-y_1}{x_2-x_1}$

Here, the vertices of the quadrilateral ABCD are A(0, −4) , B(−4, 3) , C(3, 4) , and D(6, −1),

Slope of AB = $\frac{3+4}{-4-0}=-\frac{7}{4}$

Slope of BC = $\frac{4-3}{3+4}=\frac{1}{7}$

Slope of CD = $\frac{-1-4}{6-3}=-\frac{5}{3}$

Slope of AD = $\frac{-1+4}{6-0}=\frac{3}{6}=2$

Hence, Quadrilateral ABCD is neither a parallelogram nor a trapezoid because neither pair of opposite sides are parallel.

7 0

4 years ago

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Help also I did some of it just not 3 and 4 and 6which is 2.5 ×__=80,1×__=32,3×__=96

bearhunter [10]

Answer:

the answer is 32

Step-by-step explanation: divide the product by the number that is being mutiplied

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4 years ago

Solve the formula Ax + By = C for A

7nadin3 [17]

Ax+By=C
Ax=C-By
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8 0

3 years ago

I am in need of assistance.

Alex_Xolod [135]

Answer:

A. x = 6.08, x = -0.58

Step-by-step explanation:

$\displaystyle \frac{2x}{x-4}-\frac{2x-5}{x^2-10x+24}=\frac{-3}{x-6}$

1. Factor the denominator.

$\displaystyle \frac{2x}{x-4}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}$

2. Multiply the leftmost fraction by (x-6)/(x-6) to get common denominators.

$\displaystyle \Big ( \frac{x-6}{x-6} \Big ) \frac{2x}{x-4}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}$

3. Simplify.

$\displaystyle \frac{2x^2-12x}{(x-4)(x-6)}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}$

4. Combine like terms.

$\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3}{x-6}$

5. Multiply the right side of the equation by (x-4)/(x-4).

$\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3}{x-6} \Big ( \frac{x-4}{x-4} \Big )$

6. Simplify.

$\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3x+12}{(x-6)(x-4)}$

7. "Cancel" out the denominators because they are equivalent.

$2x^2-14x+5=-3x+12$

8. Set the equation equal to 0.

$2x^2-11x-7=0$

Quadratic formula:

$\displaystyle x = \frac{-b\pm \sqrt{b^2-4ac} }{2a}$

9. Factor using the quadratic formula.

$\displaystyle x = \frac{-(-11)\pm \sqrt{(-11)^2-4(2)(-7)} }{2(2)}$

10. Multiply and simplify.

$\displaystyle x = \frac{11 \pm \sqrt{177} }{4}$

11. Plug this into your calculator and solve for x.

$x=6.07603367 \approx 6.08$
$x=-0.57603367 \approx -0.58$

The correct answer is A. x = 6.08, x = -0.58.

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3 years ago