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3 years ago

A quadrilateral is reflected over the y-axis. Which of the following statements about the coordinates of the image are true?

Mathematics

1 answer:

Nat2105 [25]3 years ago

5 0

If it’s only reflected over the y axis then only the x values change

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What is the area of the trapezoid shown below?

andrew-mc [135]

Ok so the triangle part is 10 but I don’t know what the rectangle part is but the formula for a rectangle is A=base x high

5 0

3 years ago

The population of two different villages is modeled by the equations shown

vlada-n [284]

Answer:

Year = 1995 and population = 315

Year = 2015 and population = 715

Step-by-step explanation:

It is given that the population of two different villages is modeled by the given equations:

$y=x^2-30x+540$

$y=20x+15$

The population of both villages are same after x years after 1980 if

$x^2-30x+540=20x+15$

$x^2-30x+540-20x-15=0$

$x^2-50x+525=0$

Splitting the middle term, we get

$x^2-15x-35x+525=0$

$x(x-15)-35(x-15)=0$

$(x-15)(x-35)=0$

$x=15,35$

It means, after 15 or 35 years, the population will same.

For x=15, years is $1980+15=1995$ and population is

$y=20(15)+15=315$

For x=35, years is $1980+35=2015$ and population is

$y=20(35)+15=715$ .

Therefore, population are equation in Year = 1995 and population = 315 or Year = 2015 and population = 715.

7 0

3 years ago

Triangle ABC contains the point A(5,2). Find the coordinates of A' after a reflection over the x-axis

Sholpan [36]

Answer:

Step-by-step explanation:

Should be 5,-2 OR NOT

4 0

3 years ago

Which plant grows faster: A plant that can grow 8 centimeters in 6 days or a plant that can grow 12 centimeters in 9 days?

tamaranim1 [39]

Answer: Both plants grow at same rate ie., 4/3 cm per day

Step-by-step explanation:

8 cm = 6 days

1 day = 1/6 x 8 = 4/3 cm

12 cm = 9 days

1 day = 1/9 x 12 = 4/3 cm

6 0

3 years ago

What is the product?

victus00 [196]

Answer:

$\begin{bmatrix}-2\\0 \end{bmatrix}$

Step-by-step explanation:

We have the product, $2\times \begin{bmatrix}-1\\0 \end{bmatrix}$ .

It is known that,

'When we multiply a scalar with a matrix, the scalar is multiplied by each element of the matrix'.

So, we get,

$2\times \begin{bmatrix}-1\\0 \end{bmatrix}$ .

⇒ $\begin{bmatrix}-1\times 2\\0\times 2 \end{bmatrix}$

⇒ $\begin{bmatrix}-2\\0 \end{bmatrix}$

So, the resulting product is $\begin{bmatrix}-2\\0 \end{bmatrix}$ .

8 0

2 years ago

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