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arlik [135]
3 years ago
9

RSTUV - EABCD. Find AE.

Mathematics
1 answer:
larisa86 [58]3 years ago
3 0

9514 1404 393

Answer:

  AE = 3

Step-by-step explanation:

First of all, we need to find corresponding sides that are defined in both figures. The table below shows the given values.

From the table, we can write the proportion ...

  EA/RS = BC/TU . . . corresponding sides are proportional

  EA/6 = 4/8 . . . . . . . substitute given lengths

  EA = 6(4/8) = 3

The length of AE is 3 units.

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(x - 6)². Multiply it and simplify it
SpyIntel [72]

Answer:

x^2-12x+36

Step-by-step explanation:

The first step in solving this equation is to expand the square which makes the equation (x-6)(x-6). Then you distribute the x to both parentheses which leaves you with x^2-6x, and then you distribute the 6 to both parentheses which gives you 6x+36. Then add both binomials which leaves you with x^2-12x+36. The reason it is +36 and not -36 is because you are multiplying a negative 6 by another negative 6.

6 0
2 years ago
9s - 5g = -4y, for s
Oksi-84 [34.3K]
S = (5g -4y)/9

hope this helps
4 0
4 years ago
How do u solve to get x?
Vedmedyk [2.9K]

Step-by-step explanation:

2^(2x) - 5(2^x) = -4

(2^x)^2 - 5(2^x) = -4

Substitute 2^x = z --> x = ln(z)/ln(2)

z^2 - 5z = -4

z^2 - 5z + 4 = 0

(z - 1)(z - 4) = 0

z = 1 --> x = ln(1)/ln(2) = 0

z = 4 --> x = ln(4)/ln(2) = 2


4 0
3 years ago
A business is owned by 3 people. Mrs. Applegate owns
Bezzdna [24]

Given:

Mrs. Applegate owns  \dfrac{3}{19} of the business.

Mrs. Brown owns 3 times as much as  Mrs. Charles.

To find:

The  fractional part of the business that Mrs. Brown owns.

Solution:

Let Mrs. Charles owns x part of business.

Mrs. Brown owns 3 times as much as  Mrs. Charles.

Mrs. Brown owns = 3x part of business.

Mrs. Applegate owns  =\dfrac{3}{19} of the business.

x+3x+\dfrac{3}{19}=1

4x=1-\dfrac{3}{19}

4x=\dfrac{19-3}{19}

4x=\dfrac{16}{19}

Divide both sides by 4.

x=\dfrac{16}{4\times 19}

x=\dfrac{4}{19}

Now,

Mrs. Brown owns  =3\times x

=3\times \dfrac{4}{19}

=\dfrac{12}{19}

Therefore, Mrs. Brown owns  \dfrac{12}{19} of the business.

4 0
3 years ago
2/3x -1=9-1/6x please help thanks
andrey2020 [161]
If we're solving for x then x=12
3 0
3 years ago
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