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mote1985 [20]
2 years ago
10

HELP DUE IN 15 MINUTES!!!! REFLECTIONS!

Mathematics
2 answers:
meriva2 years ago
8 0

Answer:

  • D'(-1, 1)
  • E'(-4, 8)
  • F'(-8, 8)

Step-by-step explanation:

The coordinates of the given vertices are ...

  • D(1, 1)
  • E(4, 8)
  • F(8, 8)

Reflection across the y-axis changes the sign of the x-coordinate:

  (x, y) ⇒ (-x, y) . . . . . . reflection across the y-axis

This means the reflected figure has coordinates ...

  D(1, 1) ⇒ D'(-1, 1)

  E(4, 8) ⇒ E'(-4, 8)

  F(8, 8) ⇒ F'(-8, 8)

Sergeu [11.5K]2 years ago
3 0
D(-1,-1), E(-8,-4), F(-8,-8)
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Find the area of a triangle with a base length of 3 units and a height of 4 units.
svetlana [45]

Answer:

6 square units

Step-by-step explanation:

The area of a triangle can be calculated by multiplying the triangle's base by its height, and then dividing the result by 2. As an algebraic expression, this would be \frac{bh}{2}, where b is the triangle's base and h is the triangle's height. In this case, we know that b=3 and h=4. Therefore, the area of this triangle is \frac{3*4}{2} =\frac{12}{2} =6 square units. Hope this helps!

6 0
2 years ago
Read 2 more answers
What is the row echelon form of this matrix?
USPshnik [31]

The row echelon form of the matrix is presented as follows;

\begin{bmatrix}1 &-2  &-5  \\ 0& 1 &  -7\\ 0&0  &1  \\\end{bmatrix}

<h3>What is the row echelon form of a matrix?</h3>

The row echelon form of a matrix has the rows consisting entirely of zeros at the bottom, and the first entry of a row that is not entirely zero is a one.

The given matrix is presented as follows;

\begin{bmatrix}-3 &6  &15  \\ 2& -6 &  4\\ 1&0  &-1  \\\end{bmatrix}

The conditions of a matrix in the row echelon form are as follows;

  1. There are row having nonzero entries above the zero rows.
  2. The first nonzero entry in a nonzero row is a one.
  3. The location of the leading one in a nonzero row is to the left of the leading one in the next lower rows.

Dividing Row 1 by -3 gives:

\begin{bmatrix}1 &-2  &-5  \\ 2& -6 &  4\\ 1&0  &-1  \\\end{bmatrix}

Multiplying Row 1 by 2 and subtracting the result from Row 2 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 1&0  &-1  \\\end{bmatrix}

Subtracting Row 1 from Row 3 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 0&2  &4  \\\end{bmatrix}

Adding Row 2 to Row 3 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 0&0  &18  \\\end{bmatrix}

Dividing Row 2 by -2, and Row 3 by 18 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& 1 &  -7\\ 0&0  &1  \\\end{bmatrix}

The above matrix is in the row echelon form

Learn more about the row echelon form here:

brainly.com/question/14721322

#SPJ1

8 0
1 year ago
Distribute -2(2x-1)(x+3), i forgot how to use the distributive property to check my work on factoring quadratics.
Gwar [14]
-2(2x-1)(x+3) = ((-2)2x - (-2)(-1))(x+3) = (-4x-2)(x+3) 
3 0
3 years ago
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Which one is greater <br> 0.09 or 0.091
dedylja [7]

Answer:

0.091

Step-by-step explanation:

fill in and make them both thousandths.0.090 and 0.091The second one is larger. 0.091

6 0
2 years ago
Abc similar to def the area of abc is 45cm and the area of triangle def is 20cm one side of triangle abc is 3.6cm the the length
pickupchik [31]

Answer:

2.4cm

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

that means two lengths of the triangle have to be multiplied.

and to have 2 similar triangles means that all lengths inside one triangle are the corresponding lengths inside the other triangle multiplied by the scaling factor f.

multiplying 2 if these lengths with each other means also including the square of the scaling factor (multiplying with the scaling factor twice).

so, if the area of triangle 1 is

"baseline 1" × "height 1" / 2 = 45 cm²

then the area of triangle 2 is

"baseline 2" × "height 2" / 2 =

= "baseline 1"×f × "height 1"×f /2 =

= "baseline 1" × "height 1" × f² / 2 =

= ("baseline 1" × "height 1" / 2) × f² =

= 45 × f² = 20 cm²

f² = 20/45 = 4/9

f = 2/3

so, for a side of ABC being 3.6cm long, that means the corresponding side in DEF is

3.6 × f = 3.6 × 2/3 = 7.2/3 = 2.4cm

4 0
3 years ago
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