A rectangle with a width of 2.5 cm and a length of 3 cm is dlated by a scale factor of 4. Which statements about the new
rectangle are true? Check all that apply.

Answer:

The expression indicates that when polynomial P(x) is divided by divisor x - a, the remainder of the division is 0

Step-by-step explanation:

The question would be better answered if you gave option. Since there is no option, I'll answer the question generally.

Given

[tex]P(a) = 0[/tex]

The above expression indicates that when polynomial P(x) is divided by divisor x - a, the remainder of the division is 0

Take for instance, the polynomial is:

[tex]P(x) = x^2 - x - 2[/tex]

And the divisor is x - 2, then P(2) = 0 because (x - 2) is a divisor of the equation.

[tex]\frac{P(x)}{x} =\frac{x^2 - x - 2}{x - 2}[/tex]

Factorize the numerator

[tex]\frac{P(x)}{x} =\frac{(x- 2)(x + 1)}{x - 2}[/tex]

[tex]\frac{P(x)}{x} =x + 1}[/tex]

See that x - 2 is a divisor

To check

Set x - 2 to 0

[tex]x -2 = 0[/tex]

[tex]x = 2[/tex]

So, we have:

[tex]P(x) = x^2 - x - 2[/tex]

[tex]P(2) = 2^2 - 2 - 2[/tex]

[tex]P(2) = 4 - 2 - 2[/tex]

[tex]P(2) = 0[/tex]

Answer:

[tex]\sqrt{2}[/tex]

Step-by-step explanation:

since it is a 90-45-45 triangle, both of the legs are equal

Answer:

You can find the answer in the graph below.

Step-by-step explanation:

3y - 2x = 3

x- int = (-1.5,0)

y-int = (0,1)

slope = 2/3x

-----------------------------

y=5 and 3y - 2x = 3  intersection is on (6,5)

----------------------

y=5 : y-int : (0,5)

The slope of the given line is 2/3 and the y-intercept of the given line is (0, 1). The coordinate of the intersection of two lines is (6, 5).

The equation of the line is 3y-2x=3.

In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.

The slope intercept form of the given equation is

3y=2x+3

y=2/3 x+1

Here, the slope of a line = 2/3 and the y-intercept of a line = (0, 1).

The graph of the line y=5, is attached below.

From the graph, the coordinate of the intersection is (6, 5).

Therefore, the slope of the given line is 2/3 and the y-intercept of the given line is (0, 1). The coordinate of the intersection of two lines is (6, 5).

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Answer: 110

Step-by-step explanation:

Answer:

Ok, lemme say something.

4.5 shoes are for 9 inch feet.

Dont think a 6 foot person is gonna fit tbh.

Step-by-step explanation:

A shoe size is for relation to feet size. Your feet grow from your height too, along with weight. If you are 6 feet, your feet are gonna be more than at least 1 foot.

4.5 shoes are for 9 inch feet

1 foot = 12 inches.

12 > 9.

12-9=3.

Answer:

Graph (0,4), graph (6,7) then connect in a straight line.

Step-by-step explanation:

Step-by-step explanation:

First we find the function

g

(

f

(

x

)

)

To do this we substitute the variable

x

in

g

(

x

)

for

f

(

x

)

:

∴

g

(

x

)

=

3

x

−

2

g

(

f

(

x

)

)

Answer:

y=1/2x-3

is the slope intercept form

Step-by-step explanation:

Hope this helps :) Have a great day!!!

Answer:

Add 5 5 to both sides of the equation. Add 11 11 and 5 5 . Divide each term by 2 and simplify. Divide each term in 2x=16 2 x = 16 by 2 2 .

Step-by-step explanation:

Therefore 1332 more hamburgers he made last week than this week.

Number of hamburgers made by chef last week = 1669

number of hamburgers made by chef this week = 347

We have to find how many more hamburgers did he make last week than this week​ as

= No of hamburgers last week - no of hamburgers this week

= 1669 - 347

= 1322

Therefore 1332 more hamburgers he made last week than this week.

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Answer:

an endourologist

Step-by-step explanation:

just took the review

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

W^2=17 Solve the equation.

w² = 17

w = ±√17

Answer:

w = √17 (or) 4.12

Step-by-step explanation:

Given that,

→ w² = 17

Then the value of w is,

→ w² = 17

→ w = √17

→ [ w = 4.12 ]

Hence, the value is √17.

Answer:

x>50

Step-by-step explanation:

Answer:

x < 25

Step-by-step explanation:

Given

- 2x > - 50

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity

x < 25

Answer:

Step-by-step explanation:

Answer:            The lines are perpendicular.

To solve, we can find the slope of each line and compare them to the qualities of parallel and perpendicular lines.

The lines run in the same direction and can never meet. If the lines are parallel, they would have the same slope.

The lines meet at 90°. If the lines are perpendicular, the slopes would be negative reciprocals of each other.

Use the slope formula. Slope is represented by the letter m.

[tex]\displaystyle{ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} }[/tex]

On a graph, we write points as (x, y). To use the formula, we need two points on each line. The question already shows what points we can use.

The points are (2, -7) and (6, 5). The variables can be:

x₁ = 2

y₁ = -7

x₂ = 6

y₂ = 5

Substitute into the slope formula and solve for slope.

[tex]\displaystyle{ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} }[/tex]

[tex]\displaystyle{ m=\frac{5--7}{6-2} }[/tex]        Simplify the numerator.

[tex]\displaystyle{ m=\frac{5+7}{6-2} }[/tex]           Simplify the numerator and denominators.

[tex]\displaystyle{ m=\frac{12}{4} }[/tex]               Divide.

[tex]\displaystyle{ m=3 }[/tex]                 Solved for slope of blue line.

The points are (-1, 5) and (8, 2). The variables can be:

x₁ = -1

y₁ = 5

x₂ = 8

y₂ = 2

Substitute into the slope formula and solve for slope.

[tex]\displaystyle{ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} }[/tex]

[tex]\displaystyle{ m=\frac{2-5}{8--1} }[/tex]        Simplify the denominator.

[tex]\displaystyle{ m=\frac{2-5}{8+1} }[/tex]           Simplify the numerator and denominators.

[tex]\displaystyle{ m=\frac{-3}{9} }[/tex]              Simplify the fraction.

[tex]\displaystyle{ m=-\frac{1}{3} }[/tex]              Solved for slope of green line.

The slopes are:

We know the slopes are not the same, so the lines are not parallel.

However, the slopes are negative reciprocals of each other. The fraction is flipped and the negatives are different.

If we multiply the slopes together, we would get –1:

[tex]\displaystyle{-\frac{1}{3}*\frac{3}{1}=-1}[/tex]

∴ The lines are perpendicular.

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Answer:

80

Step-by-step explanation:

Answer:

Current price = $2500

price 10 years after today = $3665.18

Step-by-step explanation:

[tex] p(t) = 2500(1.039)^t[/tex]

For the current price, t = 0

[tex] p(0) = 2500(1.039)^0\\\\

p(0) = 2500\times 1\\\\

p(0) = $2500\\

[/tex]

For price 10 years after today, t = 10

[tex] p(10) = 2500(1.039)^{10}\\\\

p(10) = 2500\times 1.46607259475\\\\

p(10) = $3665.18148689\\\\

p(10) = $3665.18\\

[/tex]

Answer:

98 - 24√3 is your answer dear.

Step-by-step explanation:

Let the length of broken part of the tree = 14 - x

For finding x

sin60° = √3/2 = x /14-x

14√3 - √3x = 2x

14√3 = 2x + √3x

14√3 = (2 + √3)x

x = 14√3/(2 + √3)x

after rationalisation

x = 24√3 - 84

substract it 14 - (24√3 - 84)

YOU'LL GET 98 - 24√3 WHICH IS YOUR ANSWER.

Answer:

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Number of event/ Total outcome of sample space

Since there are 8 teachers in a school, the Total outcome = 8

If four of the teachers will be selected at random to lead a student field trip,

Probability of selecting first female teacher = 4/8 = 1/2

Probability of selecting 2nd female teacher = 4/8 = 1/2

Probability of selecting 3rd female teacher = 4/8 = 1/2

Probability that all of the teachers selected will be female = 1/2* 1/2* 1/2* 1/2

Probability that all of the teachers selected will be female = 1/16

Answer:

2646/ 42= 63

Step-by-step explanation:

Yes you got it right

Answer:

Step-by-step explanation:

the common difference is 4

it is geometric

Answer:

Step-by-step explanation:

it has 2 solutions, 0 and 11

Answer:

96

Step-by-step explanation:

you have to find the answer to 8t by the power of 2 multiplied witch is 64 + 32t = 96

The expression would be:

(2/3)(4 + k)

Answer:

[tex]\frac{2}{3}(4 + k)[/tex]

Step-by-step explanation:

Sum of 4 and k :  4 + k

Two thirds of the sum of 4 and k :

[tex]\frac{2}{3}(4 + k)[/tex]

Answer:

It should be 396

Step-by-step explanation:

11x6=66

66x6 should get u to 396

The total amount of sales made by the associate last year is $124,000.

The term percent means "out of every hundred" or "per hundred."

Now, as per the given question;

Let the total sales done by the associate in last year is 'x'.

The commission earned on the total sales is 9.5%

Thus, 9.5% of x can be written as;

= (9.5×x)/100

The total earning from the sales is $11,875.

Thus,

(9.5×x)/100 = 11,875

Simplify the equation to find x.

x = (11,875×100)/9.5

x = 125,000

Therefore, the total sales done by the commissioner in last year was $125,000.

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Answer:

x =16

Step-by-step explanation:

-x+4=-12

 -4    -4

-x=-16

/-    /-

x=16

Answer:

x=16

Step-by-step explanation:

-x+4=-12

Subtract 4 from -12 ( -16 )

Divide

-x/-16 ( 16 )

x=16

Answer:

4 adults tickets and 3 youth

Step-by-step explanation:

Trust me bro