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Ilia_Sergeevich [38]
3 years ago
12

The coordinates of point A on a coordinate grid are (−2, −3). Point A is reflected across the y-axis to obtain point B and acros

s the x-axis to obtain point C. What are the coordinates of points B and C?
A) B(2, 3) and, C(−2, −3)
B) B(−2, −3) and C(2, 3)
C)B(2, −3) and C(−2, 3)
D) B(−2, 3) and C(2, −3)
Mathematics
1 answer:
amid [387]3 years ago
3 0

Answer:

B) B(2,-3) and C(-2,3)

Step-by-step explanation:

The given point A, has coordinates (-2,-3).

When point A(-2,-3) is reflected over the y-axis to obtain point B, then the coordinates of B is obtained by negating the x-coordinate of A.

Therefore B will have coordinates (2,-3).

 When point A(-2,-3) is reflected over the x-axis to obtain point C, then the coordinates of C is obtained by negating the y-coordinate of A.

Hence the coordinates of C are (-2,3)

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Part A
labwork [276]

An <em>algebraic expression</em> is one that consists of both <u>number(s)</u> and an <u>alphabet(s)</u>. The <em>required</em> answers are:

i. Distance from Chenoa's <u>house</u> to the <em>coffee shop</em> = 6.0 miles

ii. D<u>istance</u> from <em>coffee shop</em> to Chenoa's <u>school</u> = 1.5 miles

iii. <em>Distance</em> from Chenoa's <u>house</u> to her <u>school</u> = 7.5 miles

An <em>algebraic expression</em> is one that consists of both <u>number(s)</u> and an <u>alphabet(s)</u>. The <em>alphabet</em> is referred to as the <u>unknown</u> whose <u>value</u> has to be <em>determined</em>.

In the given question, let the <u>distance</u> from the <em>coffee shop</em> to Chenoa's <u>school</u> be represented by y.

So that;

The <u>distance</u> from Chenoa's house to the <em>coffee shop</em> = (2y + 3) miles.

The <em>total distance</em> from Chenoa's <u>house</u> to her <u>school </u>= 5y.

This implies that:

(2y + 3) + y = 5y

3y + 3 = 5y

3 = 5y - 3y

2y = 3

y = \frac{3}{2}

  = 1.5

The <em>distance</em> from the <em>coffee shop</em> to Chenoa's <u>school</u> is 1.5 miles.

Thus;

(2y + 3) = ( 2(1.5) + 3)

            = 6

The <u>distance</u> from Chenoa's <u>house</u> to the <em>coffee shop</em> is 6 miles.

And,

5y = 5(1.5)

    = 7.5

The <em>total distance</em> from Chenoa's <u>house</u> to her <u>school</u> is 7.5 miles.

For more clarifications on algebraic expressions, visit: brainly.com/question/12792264

#SPJ1

5 0
2 years ago
Hurry please !!!!!!!
Ratling [72]

9514 1404 393

Answer:

  | 573 |

Step-by-step explanation:

The product of a 1×2 matrix and a 2×1 matrix will be a 1×1 matrix. The value of the only term will be the dot-product of the row of the first matrix and the column of the second matrix.

  P = | 17·27 +19·6 | = | 573 |

4 0
3 years ago
a jeweler buys a ring for $85.00 and sell it with 135% increase in price. How much did he sell it for?
siniylev [52]
Well if the increase is 135% then
actual price=85
135% of actual price=114.75
new price
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= 85+114.75
=119.75
6 0
3 years ago
Read 2 more answers
What do the following two equations represent? y=-3x+1 y+5= -3(x-2) a) the same line b) distance parallel lines c) perpendicular
Softa [21]

Answer:

  a) the same line

Step-by-step explanation:

The first equation is the "slope-intercept form" of the equation of a line with slope -3 and y-intercept +1. The second equation is the "point-slope form" of the equation of <em>the same line</em>. The "point" in this form is (x, y) = (2, -5), which is a point that satisfies the first equation:

   y = -3x +1

  -5 = -3(2) +1  .  .  .  . true

The two equations represent the same line.

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3 years ago
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