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2 years ago

What is the simplified form of the following expression?

Mathematics

2 answers:

Degger [83]2 years ago

4 0

Answer:

its C

Step-by-step explanation:

I took the test

Nimfa-mama [501]2 years ago

4 0

Answer: It’s C

Step-by-step explanation:

On edge

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A rectangle has vertices E(-4, 8), F(2, 8), G(2, -2) and H(-4, -2). The rectangle is dilated with the origin as the center of di

Marizza181 [45]

Answer:

The dilation on any point of the rectangle is $P'(x,y) = \frac{5}{2}\cdot P(x,y)$ .

Step-by-step explanation:

From Linear Algebra, we define the dilation of a point by means of the following definition:

$G'(x,y) = O(x,y) +k\cdot [G(x,y)-O(x,y)]$ (1)

Where:

$G(x,y)$ - Coordinates of the point G, dimensionless.

$O(x,y)$ - Center of dilation, dimensionless.

$k$ - Scale factor, dimensionless.

$G'(x,y)$ - Coordinates of the point G', dimensionless.

If we know that $O(x,y) = (0,0)$ , $G(x,y) =(2,-2)$ and $G'(x,y) =(5,-5)$ , then scale factor is:

$(5,-5) = (0,0) +k\cdot [(2,-2)-(0,0)]$

$(5,-5) = (2\cdot k, -2\cdot k)$

$k = \frac{5}{2}$

The dilation on any point of the rectangle is:

$P'(x,y) = (0,0) + \frac{5}{2}\cdot [P(x,y)-(0,0)]$

$P'(x,y) = \frac{5}{2}\cdot P(x,y)$ (2)

The dilation on any point of the rectangle is $P'(x,y) = \frac{5}{2}\cdot P(x,y)$ .

5 0

2 years ago

5. A factory produces 1000 cans of juices in 5 days. How many cans will it produce in 15<br> days?

solniwko [45]

Answer:

3000

Step-by-step explanation:

6 0

2 years ago

A man looked in his wallet and found he had 3 more $5 bills than $10 dollar bills. He had a total of $75. How many of each kind

Neko [114]

Answer:

Four 10s and seven 5s

Step-by-step explanation:

If you start with one 10, you have to have four 5s. After that you add one of each until you reach 75

3 0

3 years ago

What is the domain of f(x)=1/x-3

wel

Answer:

The domain is all real numbers except x=3

Step-by-step explanation:

Assuming you mean

f(x) = 1/(x-3)

The domain is all numbers that x can take

This function is define except when the denominator goes to zero

x-3 cannot be zero

x cannot be 3

The domain is all real numbers except x=3

3 0

2 years ago

Read 2 more answers

for a class of 24,78% of students got a B or better on the tex How many students is this? Round to a wholenumber

natita [175]

Step 1

Use the ratio of the number to the percentage to get the required answer.

$\frac{Total\text{ number of students}}{\text{The required number of students}}=\frac{Total\text{ percentage of the class}}{\text{Given percentage}}$

Where,

$\begin{gathered} \text{The total number of students = 24} \\ \text{The required number }of\text{ students= x} \\ \text{The total percentage of the class = 100} \\ \text{Given percentage = 78} \end{gathered}$

Step 2

Get the required answer

$\begin{gathered} \frac{24}{x}=\frac{100}{78} \\ 100x=24\times78 \\ 100x=1872 \\ \frac{100x}{100}=\frac{1872}{100} \\ x=\text{ 18.72} \\ \text{Hence} \\ x\approx19students\text{ rounded to a whole number } \end{gathered}$

The number of students that got B or a better grade on the test = 19 students rounded to a whole number.

4 0

7 months ago