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3 years ago

9

Which statement is true for the equation 3x − 3x − 2 = −2?

2 answers:

sashaice [31]3 years ago

6 0

Answer:

D

Step-by-step explanation:

i just took the test so it said it was D

Hope this helps ur day :)

Mariana [72]3 years ago

3 0

Has infinitely many solutions.

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In the diagram below, RSTU is a rectangle, and the two shaded regions are squares.

sdas [7]

Answer:

length PQ = 8.9 m

Step-by-step explanation:

The picture below completes the question you asked. From the picture above RSTU is a rectangle . The two shaded square has a length of sides 8 m and 4 m respectively. The legs of the triangle is the sides of the 2 squares. Therefore, the triangle is a right angle triangle. The adjacent side is 4 m while the opposite side is 8 m.

Using Pythagoras theorem the hypotenuse of the triangle can be calculated below.

Pythagoras theorem

c² = a² + b² Therefore,

c² = 4² + 8²

c² = 16 + 64

c² = 80

square root both sides

c = √80

c = 8.94427191

c ≈ 8.9 m

length PQ = 8.9 m

7 0

4 years ago

Which of these five polyhedra are prisms?

Lemur [1.5K]

Answer:

Step-by-step explanation:

4 0

3 years ago

A rectangle has an area of 24 sq. inches and a perimeter of 50 in. what are the dimensions of the rectangle

gulaghasi [49]

Answer:

Length of rectangle = 24 inches

Width of rectangle = 1 inches

Step-by-step explanation:

Area of rectangle = 24 square inches

Perimeter of rectangle = 50 inches

Formulas:

Area of rectangle = $l\times w$

Perimeter of rectangle = $2(l+w)$

where $l$ represents length of rectangle and $w$ represents width of rectangle.

So, we can get two equations for $l$ and $w$

A) $l\times w=24$ [Area]

B) $2(l+w)=50$ [ Perimeter ]

Simplifying equation B.

Dividing both sides by 2.

$\frac{2(l+w)}{2}=\frac{50}{2}$

$l+w=25$

Solving for $l$ in terms of width.

Subtracting $w$ both sides.

$l+w-w=25-w$

∴ $l=25-w$

Substituting value of $l$ in terms of $w$ in equation A.

$(25-w)w=24$

Using distribution.

$25w-w^2=24$

Adding $w^2$ both sides.

$25w-w^2+w^2=24+w^2$

$25w=24+w^2$

subtracting $25 w$ both sides

$25w-25w=24+w^2-25w$

$0=w^2-25w+24$

We have a quadratic equation. $w^2-25w+24=0$

We solve for $w$ by factor method.

Splitting middle term into two terms such that the sum of the two = $-25w$ and product of two = $24w^2$

$w^2-24w-w+24=0$

Factoring in pairs.

$w(w-24)-1(w-24)=0$

Factoring as a whole

$(w-24)(w-1)=0$

So, we have

$w-24=0$ and $w-1=0$

By adding 24 to one equation and adding 1 to other we get

$w-24+24=0+24$ and $w-1+1=0+1$

$w=24$ and $w=1$

So length can be found out by plugging value of $w$ in the length equation.

$l=25-24=1$ and $l=25-1=24$

Since length is always the longer side of rectangle so, the dimensions of rectangle can be given by.

length = 24 inches (answer)

width = 1 inches (answer)

6 0

3 years ago

What type of lines are layered directly on top of each other?

Tatiana [17]

Parallel lines
Explanation:

6 0

4 years ago

S varies inversely as G. If S is 8 when G is 1.5, find S when G is 3. a) Write the variation. b) Find S when G is 3.

ss7ja [257]

Step-by-step explanation:

a.

$s \: = \frac{k}{g}$

$8 = \frac{k}{1.5}$

$k \: = 1.5 \times 8 = 12$

$s = \frac{12}{g}$

b.

$s = \frac{12}{3}$

s = 4

4 0

3 years ago