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Inessa05 [86]
3 years ago
7

Solve for x: −3(x + 3) = −3(x + 1) − 5.

Mathematics
1 answer:
erastova [34]3 years ago
4 0
-3(x+3)= -3(x+1)-5
-3x+9=-3x+3-5 
so you would have just distributed then you combine like terms and get
-3x+9=-3x-2
then add two to both sides and get
-3x+9=-3x-2
-3x+2=-3x+2
-3x+11=-3x
+3x+11=+3x
0x+11=0x 
so 11+0x 
divide both by zero and you get x+0
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△ABC is similar to △XYZ. Also, side AB measures 6 cm, side BC measures 18 cm, and side XY measures 12 cm.
Serggg [28]

Answer:

value of sides YZ is 36 cm

Step-by-step explanation:

Similar triangles states that the length of the corresponding sides are in proportion.

Given that: ΔABC is similar to ΔXYZ

then;

Corresponding sides are in proportion i.e

\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}    .....[1]

As per the statement:

side AB = 6 cm, side BC =18 cm and side XY = 12 cm.

Substitute these in [1] to solve for side YZ;

\frac{6}{12}= \frac{18}{YZ}

or

\frac{1}{2} = \frac{18}{YZ}

By cross multiply we have;

YZ = 36 cm

Therefore, the value of sides YZ is 36 cm


4 0
3 years ago
Read 2 more answers
What is (10y+6) (8y-6) ?
ANEK [815]

Answer:

y = 3/4 or y = -3/5

Step-by-step explanation:

Solve for y:

(8 y - 6) (10 y + 6) = 0

Hint: | Find the roots of each term in the product separately.

Split into two equations:

8 y - 6 = 0 or 10 y + 6 = 0

Hint: | Look at the first equation: Factor the left hand side.

Factor constant terms from the left hand side:

2 (4 y - 3) = 0 or 10 y + 6 = 0

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by 2:

4 y - 3 = 0 or 10 y + 6 = 0

Hint: | Isolate terms with y to the left hand side.

Add 3 to both sides:

4 y = 3 or 10 y + 6 = 0

Hint: | Solve for y.

Divide both sides by 4:

y = 3/4 or 10 y + 6 = 0

Hint: | Look at the second equation: Factor the left hand side.

Factor constant terms from the left hand side:

y = 3/4 or 2 (5 y + 3) = 0

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by 2:

y = 3/4 or 5 y + 3 = 0

Hint: | Isolate terms with y to the left hand side.

Subtract 3 from both sides:

y = 3/4 or 5 y = -3

Hint: | Solve for y.

Divide both sides by 5:

Answer: y = 3/4 or y = -3/5

4 0
3 years ago
The perimeter of a square picture frame is 24 in. Find the lengths of each side of the frame.
m_a_m_a [10]

Answer:

6 inches

Step-by-step explanation:

The perimeter formula for a square is P = 4*S

P =24

s = ?

24 = 4*S            Divide both sides by 4

24/4 = 4S/4      

S = 6

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2 years ago
Trent is building a new L-shaped desk for his room. He wants to make sure it
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Answer: <em>33 square feet</em>

Step-by-step explanation:

<em>First, let's take the area of the rectangle shown here which is 6ft long and 4ft wide</em>

<em>6x4=24</em>

<em>Now let's take the area of the square which is 3ft long and 3ft wide</em>

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<em>Now add 24 and 9 for the total area</em>

<em>24+9=</em><em>33 square feet</em>

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Answer:

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Step-by-step explanation:

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