Help me with 2-8 plz

A triangular piece of rubber is stretched equally from all sides, without distorting its shape, such that each side of the enlar

OverLord2011 [107]

Answer:

The area of the enlarged triangle is $4$ times the original area

Step-by-step explanation:

we know that

The scale factor is equal to divide the measurement of the length side of the enlarged triangle by the the measurement of the length of the corresponding side of the original triangle

In his problem

Let

x------> the length side of the original triangle

so

2x-----> is the length of the corresponding side of the enlarged triangle

$scale\ factor=\frac{2x}{x}=2$

$scale\ factor> 1$ -------> that means is increasing

The scale factor squared is equal to the ratio of the area of the enlarged triangle divided by the area of the original triangle

so

Let

m-------> the area of the enlarged triangle

n------> the area of the original triangle

r-------> scale factor

$r^{2} =\frac{m}{n}$

we have

$r=2$

substitute

$2^{2} =\frac{m}{n}$

$m=4n$

therefore

The area of the enlarged triangle is $4$ times the original area

8 0

2 years ago

Shaniqua has $45 in her wallet. She spends $4 on snacks and $8 on a movie ticket. What integer represents the change in the amou

Ivenika [448]

Answer:33 left :)

Step-by-step explanation:

8 0

2 years ago

Which property does each equation demonstrate? x2 + 2x = 2x + x2 (3z4 + 2z3) – (2z4 + z3) = z4 + z3 (2x2 + 7x) + (2y2 + 6y) = (2

myrzilka [38]

Answer:

1 . Closure

2. Distributive

3. Closure

Step-by-step explanation:

Here, we want to know the type of property exhibited or displayed by each of the equations in the question.

Equation 1 displays the closure property.

What this means that if we make an addition operation either way, we would get same answer. So we say that addition is closed for that equation.

Equation 3 exhibits closure property as well. If we go either way on the addition operation for that equation, we are bound to get the same answer.

Equation 2 exhibits the distributive property.

Each term in the bracket is multiplied by the subtraction symbol before we proceeded to complete the arithmetic operations

5 0

2 years ago

A landscape supply business charges $35 to deliver mulch. The cost of the mulch is $29.

Scorpion4ik [409]

Answer:

$209

Step-by-step explanation:

we know that

The equation of the line in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept (initial value)

Let

x ----> the volume of mulch in cubic yards

y ----> the total cost in dollars

we have that

The slope of the linear equation is

$m=29\ \frac{\$}{yd^3}$

$b=\$35$ ----> flat fee to deliver mulch

The linear equation is

$y=29x+35$

For x=6 yd^3

substitute in the equation and solve for y

$y=29(6)+35$

$y=\$209$

4 0

2 years ago

Shelly bought a house five years ago for $150,000 and obtained an 80% loan. Now the home is worth $140,000 and her loan balance

LiRa [457]

Answer:

The current equity is $32,000

Step-by-step explanation:

Here, we are to calculate the current equity of the House

Value of house initially is $150,000

loan borrowed is 80% of this

= 80/100 * 150,000 = $120,000

Now the house value is 140,000 and the loan amount is reduced to 12,000

The outstanding loan amount to pay would be 120,000-12,000 = 108,000

The current equity is thus = Assets - liability = 140,000-108,000 = $32,000

5 0

2 years ago