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spayn [35]
3 years ago
13

Point A(4,2) is translated according to the rule (x,y)-> (x+1, y-5) and then reflected across the Y-axis.

Mathematics
2 answers:
marishachu [46]3 years ago
8 0
Given:

Point A with coordinates: (4, 2) is in the first quadrant.

The point is translated to the rule (x, y) --> (x+1, y-5)

Now, point A becomes (4+1, 2-5) = (5, -3) which is now in quadrant 4. 

The point is reflected across the y-axis. Now, it is in the third quadrant. 
Anettt [7]3 years ago
4 0

Thank you I really hope this helps me!!!

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Which statement best describes the area of Triangle ABC shown below?
sergeinik [125]

Answer:

  It is one-half the area of a rectangle with sides 4 units × 3 units

Step-by-step explanation:

One side of the triangle is on the line y = 2 between points x=2 and x=6. So, that side has length 6-2 = 4.

The opposite vertex has y-value 5, so is 3 units away from the line y = 2.

The area of the triangle can be considered to have a base of 4 and a height of 3. In the formula ...

  A = (1/2)bh

we find the area to be ...

  A = (1/2)×(4 units)×(3 units) . . . . triangle area

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A rectangle's area is the product of its length and width. So, a rectangle that is 4 units by 3 units will have an area of ...

  A = (4 units)×(3 units) . . . . rectangle area

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3 years ago
The nurse researcher is reading about linear regression. what is linear regression
ANEK [815]
Hello there.

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4 0
3 years ago
Read 2 more answers
Help plzzzzzzzzzzzzzzzzzzzzz
prohojiy [21]

Answer:

c = {\boxed{\boldsymbol{29}}} km

Step-by-step explanation:

Here's the required formula to find the missing side of triangle by pythagoras theorem :

{\longrightarrow{\pmb{\sf{{(a)}^{2} + {(b)}^{2} = {(c)}^{2}}}}}

  • \purple\star a = 20 km
  • \purple\star b = 21 km
  • \purple\star c = ?

Substituting all the given values in the formula to find the third side of triangle :

\begin{gathered} \quad{\longrightarrow{\sf{{(a)}^{2} + {(b)}^{2} = {(c)}^{2}}}} \\  \\ \quad{\longrightarrow{\sf{{(20)}^{2} + {(21)}^{2} = {(c)}^{2}}}} \\  \\ \quad{\longrightarrow{\sf{(20 \times 20) + (21 \times 21) = {(c)}^{2}}}} \\  \\ \quad{\longrightarrow{\sf{(400) + (441) = {(c)}^{2}}}} \\  \\ \quad{\longrightarrow{\sf{400 + 441 = {(c)}^{2}}}}  \\  \\ \quad{\longrightarrow{\sf{841= {(c)}^{2}}}} \\  \\ \quad{\longrightarrow{\sf{c =  \sqrt{841}}}} \\  \\ \quad{\longrightarrow{\sf{\underline{\underline{\purple{c = 29 \: km}}}}}}\end{gathered}

Hence, the length of missing side of triangle is 29 km.

\rule{300}{2.5}

3 0
2 years ago
Which expression is equivalent to -2(3x + 5y)?
Ksivusya [100]

Answer:

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4 0
3 years ago
Write an equation in standard form that is parallel to the line y = 2x - 1 that passes through the point (1, 2). 2x - y = 0 O x
timofeeve [1]

Answer:

2x - y = 0

Step-by-step explanation:

The equation of a line in slope- intercept form is

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y = 2x - 1 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, thus

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To find c substitute (1, 2) into the partial equation

2 = 2 + c ⇒ c = 2 - 2 = 0

y = 2x ← equation in slope- intercept form

Subtract y from both sides

0 = 2x - y , that is

2x - y = 0 ← equation in standard form

5 0
3 years ago
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