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7nadin3 [17]
3 years ago
6

Which is equivalent to 1/4x A.1/8x+1/8x B.1/8x+1/8 C.1/8+1/8 D.1/2x+1/2x

Mathematics
1 answer:
labwork [276]3 years ago
6 0

Step-by-step explanation:

A.

\frac{1}{8} x \:  +  \:  \frac{1}{8} x

=

\frac{2}{8} x

=

\frac{1}{4} x

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The sum of three consecutive terms in an arithmetic sequence is 27, and their product is 585. find the three terms.
sammy [17]
\text{the three consecutive terms in an arithmetic sequence}\\a;\ a+d;\ a+2d\\\\\text{system of equals}\\\\ \left\{\begin{array}{ccc}a+a+d+a+2d=27\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}3a+3d=27&|:3\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}a+d=9&\to d=9-a\\a(a+d)(a+2d)=585\end{array}\right\\
\text{substitute to the second equation}\\\\a(a+9-a)(a+2(9-a))=585\\\\a(9)(a+18-2a)=585\\9a(18-a)=585\ \ \ |:9\\a(18-a)=65\\18a-a^2=65\ \ \ |\text{change the signs}\\a^2-18a=-65\\a^2-2a\cdot9=-65\ \ \ |+9^2\\\underbrace{a^2-2a\cdot9+9^2}_{(a-b)^2=a^2-2ab+b^2}=-65+9^2\\(a-9)^2=16\to a-9\pm\sqrt{16}\\a-9=-4\ \vee\ a-9=4\ \ \ |+9\\a=5\ \vee\ a=13\\\\d=9-5=4\ \vee\ d=9-13=-4
Answer:\ a=5;\ a+d=9; a+2d=13\ vee\ a=13;\ a+d=9;\ a+2d=5

5 0
3 years ago
Determine x and y knowing that 2y +2x =257
m_a_m_a [10]
\left[y \right] = \left[ \frac{257}{2}-x\right][y]=[​2​​257​​−x] . totally answer
3 0
3 years ago
What is the equation of the ine that has a slope of 4 and passes through the point (3, -10) ?
Schach [20]

Answer:

The answer is

\huge y = 4x - 22

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

y -  y_1 = m(x -  x_1)

where

m is the slope

( x1 , y1) is the point

From the question the point is (3, -10) and the slope 4

We have

y + 10 = 4(x - 3) \\ y + 10 = 4x - 12 \\ y = 4x - 12 - 10

We have the final answer as

y = 4x - 22

Hope this helps you

8 0
3 years ago
The triangles shown are congruent.
WITCHER [35]

As the triangles are congruent

We have to show the congruence in such a way that the sides which are equal for both triangles , are written in same order

As we can see in the figure

Side BL = PF And BG=PX

And Angle B = Angle B

BLG is congruent to PFX

Answer is BLG

8 0
3 years ago
Read 2 more answers
If t=x+k/m then x equals​
kvv77 [185]

Answer:

x = t - \frac{k}{m}

Step-by-step explanation:

Given

t = x + \frac{k}{m} ( isolate x by subtracting \frac{k}{m} from both sides )

t - \frac{k}{m} = x

7 0
3 years ago
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