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AlekseyPX
3 years ago
5

Find the next four terms in the arithmetic sequence. 6,11,16

Mathematics
1 answer:
Alisiya [41]3 years ago
7 0

Answer:21,26,31,36

Step-by-step explanation:

The rule is +5

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Which equation is an equation of a circle with a radius of 3 and it’s center is at (5,-2)?
storchak [24]

\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{5}{ h},\stackrel{-2}{ k})\qquad \qquad radius=\stackrel{3}{ r}\\[1em] [x-5]^2+[y-(-2)]^2=3^2\implies (x-5)^2+(y+2)^2=9

5 0
3 years ago
2. Solve the equation using the quadratic<br> formula.<br> -4x2 + 40x + 16 = 0<br> Page 1 of 2
kumpel [21]

The solution to given quadratic equation is x = -0.3851 or x = 10.3851

<em><u>Solution:</u></em>

Given equation is:

-4x^2 + 40x + 16 = 0

To find: solve by quadratic equation formula

\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Using the above formula,

\text{ For} -4x^2 + 40x + 16 = 0 \text{ we have } a = -4 ; b = 40 ; c = 16

<u><em>Substituting the values of a = -4 ; b = 40 ; c = 16 in above quadratic formula we get,</em></u>

\begin{aligned}&x=\frac{-40 \pm \sqrt{40^{2}-4(-4)(16)}}{2 \times-4}\\\\&x=\frac{-40 \pm \sqrt{1600+256}}{-8}\\\\&x=\frac{-40 \pm 43.081}{-8}\\\\&x=\frac{-40+43.081}{-8} \text { or } x=\frac{-40-43.081}{-8}\\\\&x=-0.3851 \text { or } x=10.3851\end{aligned}

Thus the solution to given quadratic equation is x = - 0.3851 or x = 10.3851

8 0
2 years ago
Solve for x. Round answer to the nearest tenth (0.1).
ICE Princess25 [194]

Answer:

x = 9.9

Step-by-step explanation:

This is a isosceles triangle, with sides measurements (1 , 1 , √2), and the angles being (45° - 45° - 90°). Note that the side measurements of 1 is opposite of that of a 45°, while the measurement of √2 is opposite of that of 90°.

In this case, multiply. The side measurement of 1 has 7.

1 x 7 = 7

In the same, you must multiply 7 with √2

x = 7 * √2 = 7√2.

√2 = ~1.414

7 x 1.414 = 9.898

Round to the nearest tenth:

9.898 rounded to the nearest tenth = 9.9

x = 9.9

~

3 0
2 years ago
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Pepper has 48 pints of orange juice. How many gallons does she have?
Yuri [45]

Answer:

6 Gallons

Step-by-step explanation:

4 0
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Round 8473227 to nearest 100000
NemiM [27]
Your answer would be 8500000
8 0
3 years ago
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