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lina2011 [118]
2 years ago
9

The first number in a pattern is 84. The pattern follows the rule divide by 2 then add 10. Find the next three terms and then de

scribe the pattern.
Mathematics
1 answer:
Tomtit [17]2 years ago
7 0

Answer: 52 , 36 , 28

I goygot these numbers by following the rule . Each time you divide by 2 so u get the half and then add 10 . I see the numbers are even and they are decreasing so they are getting smaller . Hope it helps

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100 points PLEASE ANSWER ASAP thank you so much
Fudgin [204]

Answer:

\textsf{Apply the Perfect Square Formula}\quad (a + b)^2 = a^2 + 2ab + b^2:

\implies (a+bi)^2=a^2+2abi+(bi)^2

\textsf{Apply exponent rule} \quad (a\cdot b)^c=a^cb^c:

\implies a^2+2abi+b^2i^2

i=\sqrt{-1} \implies i^2=-1

\textsf{Apply imaginary number rule} \quad i^2=-1:

\implies a^2+2abi+b^2(-1)

\implies a^2+2abi-b^2

\textsf{Collect the real parts:}

\implies a^2-b^2+2abi

\textsf{Factor the real parts by applying the Difference of Two Squares Formula}\\x^2-y^2=(x+y)(x-y) :

\implies (a+b)(a-b)+2abi

4 0
2 years ago
Read 2 more answers
Line K has the equation 9x-4y=-5x4.
Yuki888 [10]

Answer:

y = (9/4)x + 2, given that I've assume the correct meaning of "-5x4."

Step-by-step explanation:

A parallel line has the same slope as the reference line,

The reference line is 9x-4y = -5x4, as written.  I'm not sure the 4 belongs, but I'll assume it is written correctly.  I'm not sure if the term -5x4 is meant to mean -5x^4, -20x or -20.  I'll assume -20:

9x-4y = -20

Put the equation into standard slope-intercept form:  Y = mx + b, where m is the slope and b is the y-intercept (the value of y when  x = 0).

-4y = -9x - 20

y = (9/4)x + 5

This line has a slope of (9/4).  The parallel line will have the same slope.

y = (9/4)x + b

We can find a value of b that would shift this line to include (4,7) by using this point in the equation:

y = (9/4)x + b

7 = (9/4)(4) + b

7  = 9 + b

b = 2

The equation of a line parallel to the reference line is y = (9/4)x + 2

5 0
3 years ago
What is the radius and diameter of the following circle?<br> Radius = cm<br> diameter= cm
Nadya [2.5K]

The value of diameter and radius of circle is 7 cm and 3.5cm.

According to the statement

we have given that the a figure of circle and we have to find the radius and the diameter of the circle.

So, We know that the

The radius of a circle runs from its center to its edge, the diameter runs from edge to edge and cuts through the center.

Here from the figure it is clear that the

Diameter of circle = 7cm

and the radius of circle we have to find

So,

Radius of circle = Diameter /2

Substitute the values in it then

Radius of circle = 7cm /2

Radius of circle = 3.5 cm.

So, The value of diameter and radius of circle is 7 cm and 3.5cm.

Learn more about the diameter and radius of circle here

brainly.com/question/15673093

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3 0
2 years ago
Need help badly don’t have answer to this problem.
NikAS [45]
There are a couple of ways to tackle this one, using the 45-45-90 rule or just using the pythagorean theore, let's use the pythagorean theorem.

the angle at A is 45°, and its opposite side is BC, the angle at C is 45° as well, and its opposite side is AB, well, the angles are the same, thus BC = AB.

hmmm le'ts call hmmm ohh hmmm say z, thus BC = AB = z.

\bf \textit{using the pythagorean theorem}&#10;\\\\&#10;c^2=a^2+b^2 \implies (6\sqrt{2})^2=z^2+z^2&#10;\qquad &#10;\begin{cases}&#10;c=\stackrel{6\sqrt{2}}{hypotenuse}\\&#10;a=\stackrel{z}{adjacent}\\&#10;b=\stackrel{z}{opposite}\\&#10;\end{cases}\\\\\\ 6^2(\sqrt{2})^2=2z^2\implies 36(2)=2z^2\implies \cfrac{36(2)}{2}=z^2\implies 36=z^2&#10;\\\\\\&#10;\sqrt{36}=z\implies 6=z
4 0
4 years ago
Read 2 more answers
In a pet shop, there are 3 hamsters for every 2 guinea pigs, and there are 2 giant cloud rats for every 3 guinea pigs. If N is t
saul85 [17]

Answer:

n = 19.

Step-by-step explanation:

If there are x guinea pigs then there are 3/2 x and 2/3 x rats.

So n = x + 3/2 x + 2/3 x

n = 19x / 6

19x = 6n

Let x = 6 , then n = 19*6 / 6 = 19.

Now n and x must be whole numbers so x is 6 and n = 19 are the smallest possible values.

6 0
3 years ago
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