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andrezito [222]
2 years ago
13

Shayna enlarged a square photo by adding 10 inches to each side so it could be seen on a large poster. The area of the enlarged

photo is 256 square inches. In the equation (x + 10)2 = 256, x represents the side measure of the original square photo.
What were the dimensions of the original photo?
Mathematics
2 answers:
Over [174]2 years ago
8 0
The area of a square is expressed as the length of the side to the power of two, A = s^2. We were given the area of the enlarged photo which is 256 in^2. Also, it was stated that the length of the enlarged photo is the length of the original photo plus ten inches. So, from these statements we can make an equation to solve for x which represents the length of the original photo.

A = s^2
where s = (x+10)
A = (x+10)^2 = 256
Solving for x,
x= 6 in.

The dimensions of the original photo is 6 x 6.
Nimfa-mama [501]2 years ago
3 0

Answer:

6 inches by 6 inches

Step-by-step explanation:

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A river drops 12 ft vertically over a horizontal distance of 1500 ft.
elixir [45]

Answer:

Slope = rise / run

= -12 / 1500 (It's -12 and not 12 because a drop means it's decreasing)

= -0.008

4 0
2 years ago
The list shows numbers in order from least to greatest. Negative 34, negative 2 and three-fourths, blank, negative 1.5, 0, 2.3,
blsea [12.9K]

Options

  • -2.5
  • -2
  • -1\dfrac{9}{10}
  • -1

Answer:

(B) -2

Step-by-step explanation:

Given the list

-34.-2\dfrac{3}{4} ,x, -1.5,0,2.3,10,25\dfrac15

This list has been arranged in order from the least to the greatest.

We are required to find an Integer that can be inserted on the blank line (I have used x) in the list.

An integer is defined as a positive or negative whole number.

Out of the given options, only -1 and -2 are integers. However:

  • -1 is greater than -1.5

Therefore, it cannot be our result.

The correct answer is -2.

3 0
2 years ago
Read 2 more answers
Explain how complex fractions can be used to solve problems involving ratios
Kisachek [45]
When you have ratios and some unknowns you can create complex fractions from them.Bring them to the same denominator and solve for X.
8 0
2 years ago
ΔABC underwent a sequence of rigid transformations to give ΔA′B′C′. Which transformations might have taken place?
Papessa [141]

Answer: The correct option is second, a rotation 90^{\circ} clockwise about the origin followed by a reflection across the x-axis.

Explanation:

From the given figure it is noticed that the vertices of ΔABC are A(-6,4), B(-4,6), C(-2,2) and vertices of ΔA'B'C' are A'(4,-6), B(6,-4), C(2,-2).

It means if the point is P(x,y) then after transformation it will be P'(y,x).

If a point P(x,y) reflection across the y-axis followed by a reflection across the x-axis, then the image of point after transformation will be P'(-x,-y), therefore it is not the correct option.

If a shape is rotated 90^{\circ} clockwise about the origin then the  point P(x,y) will be P'(y,-x) and after that reflect across the x-axis, so the point after transformation will be P'(y,x), therefore it is the correct option.

If a shape is rotated 270^{\circ} clockwise about the origin then the  point P(x,y) will be P'(-y,x) and after that reflect across the x-axis, so the point after transformation will be P'(-y,-x), therefore it is not the correct option.

If a point P(x,y) reflection across the x-axis followed by a reflection across the y-axis, then the image of point after transformation will be P'(-x,-y), therefore it is not the correct option.

Hence, the correct option is second, a rotation 90^{\circ} clockwise about the origin followed by a reflection across the x-axis.

4 0
2 years ago
Read 2 more answers
Ted is a long distance driver. It took him 30 min longer to drive 275km on the Trans-Canada highway west of Swift Current, Saska
IRISSAK [1]

Speed traveling west = x - 10 km /hr


275 / ( x-10) - 300 / x = 1/2



275 *2x - 300 (x-10)*2 = ( x-10) *x



550x - 600x +6000 = x^2 -10x



x^2 +40x - 6000 = 0


( x -60) ( x+100) = 0


x = 60


ANSWER East = 60 km/ hr West = 50 km /hr


CHECK


300 /60 = 5 hours

275 /50 = 5.5 hours

7 0
2 years ago
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