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3 years ago

The point B(-6, -6) is translated 4 units right. What are the coordinates of the resulting point, B′?

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

5 0

Answer:

-2

Step-by-step explanation:

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Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha

Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

$a = 20$ --- tree distance from north gate

$b =14$ --- movement from south gate

$c = 1775$ --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

$\triangle ADE \sim \triangle ACB$ --- similar triangles

So, we have the following equivalent ratios

$AE:DE = AB:CB$

Where:

$AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775$

Substitute these in the above equation

$20:x/2 = 20 + x + 14: 1775$

$20:x/2 = x + 34: 1775$

Express as fraction

$\frac{20}{x/2} = \frac{x + 34}{1775}$

$\frac{40}{x} = \frac{x + 34}{1775}$

Cross multiply

$x *(x + 34) = 1775 * 40$

Open bracket

$x^2 + 34x = 71000$

Rewrite as:

$x^2 + 34x - 71000 = 0$

Expand

$x^2 + 284x -250x - 71000 = 0$

Factorize

$x(x + 284) -250(x + 284)= 0$

Factor out x + 284

$(x - 250)(x + 284)= 0$

Split

$x - 250 = 0 \ or\ x + 284= 0$

Solve for x

$x = 250 \ or\ x =- 284$

x can't be negative;

So:

$x = 250$

6 0

3 years ago

Triangles PQR and XYZ are similar.

laiz [17]

Answer:

Option A. 5.25 units

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

$\frac{PR}{XZ}=\frac{QR}{YZ}$

substitute the given values

$\frac{7}{XZ}=\frac{4}{3}$

solve for XZ

$XZ=7(3)/4\\XZ=5.25\ units$

7 0

3 years ago

If a 100-part spinner is spun, and then a coin is flipped, how many possible outcomes are in the sample space for the compound e

Inessa [10]

Answer:

200

Step-by-step explanation:

3 0

3 years ago

Anthony bought an 8 foot board. He cut off 3/4 of the board to build a shelf and gave 1/3 of the rest to his brother for an art

jolli1 [7]

Anthony gave 0.75 or75 inches to his brother

7 0

3 years ago

What is 31 billion in scientific notation?

zepelin [54]

Answer:

(3.10 x 10^10)

Step-by-step explanation:

4 0

3 years ago

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