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2 years ago

ASAP some answer this ASAP

Mathematics

2 answers:

Gekata [30.6K]2 years ago

7 0

Answer:

(-3, 7)

Step-by-step explanation:

minus the x value by 2, minus the y value 3, rule for reflection over line y=-x is (-x, -y), so just swap the signs, and thats your answer.

tatyana61 [14]2 years ago

5 0

This answe would have to be (-3,7)

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Write the series using summation notation.<br><br> 4 + 8 + 12 + 16 + 20+ . . . + 80

zhannawk [14.2K]

Answer:

$\sum ^{20} _{n \to \11} 4n$

Step-by-step explanation:

In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;

4, 8, 12, 16, 20...80

The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d

a is the first term = 4

d is the common difference = 21-8 = 8-4 = 4

n is the number of terms

On substituting, Tn = 4+(n-1)4

Tn = 4+4n-4

Tn = 4n

The nth term of the series is 4n.

Since the last term is 80, L = 4n

80 = 4n

n = 80/4

n = 20

This shows that the total number of terms in the sequence is 20

According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80 , we are to take the sum of the first 20terms of the sequence. Using summation notation;

4 + 8 + 12 + 16 + 20+ . . . + 80 = $\sum ^{20} _{n \to \11} 4n$

4 0

3 years ago

What is 8/10 divided by 1 5/6

sveta [45]

1st change 1 5/6 into a mixed number:
1 5/6 = 11/6

New problem:
8/10 divided by 11/6

to divide fractions you turn the 1st fraction upside down and then change the division sign to a multiplication sign:

8/10 / 11/6
10/8 * 11/6
=55/24 or 1 7/24

5 0

3 years ago

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-.75X-2 = .25x<br> What is x

a_sh-v [17]

Answer:

x = -2

Step-by-step explanation:

Add 0.75x to both sides of the equation.

-0.75x -2 = 0.25x . . . . . given

-0.75x +0.75x -2 = 0.25x +0.75x

-2 = 1.00x . . . . simplify

x = -2

6 0

3 years ago

Choose the system of equations that matches the following graph:

IrinaVladis [17]

The correct option as per me is (b)

6 0

3 years ago

NO LINKS!! Please help with questions 3 and 4

Taya2010 [7]

Answer:

$\textsf{3.} \quad (x,y) \rightarrow (x-5,y+2)$

$\textsf{4.} \quad (x,y) \rightarrow (x+3,y+1)$

Step-by-step explanation:

<h3><u>Question 3</u></h3>

Given vertices of ΔLMN:

L = (1, -1)
M = (4, 1)
N = (5, -1)

Given vertices of ΔL'M'N':

L' = (-4, 1)
M' = (-1, 3)
N' = (0, 1)

From inspection of the given diagram, we can see that the two triangles are congruent since their corresponding angles and corresponding side lengths are the same.

There is no apparent reflection or rotation, so the transformation of ΔLMN to ΔL'M'N' is by translation.

To find the mapping rule for the translation, choose one pair of corresponding vertices and determine the difference between the x and y values of the translated point and the original point:

$x_{M'}-x_M =-1-4=-5 \implies \textsf{5 units left}$

$y_{M'}-y_M =3-1=2 \implies \textsf{2 units up}$

Therefore, the mapping rule for the translation is:

$(x,y) \rightarrow (x-5,y+2)$

<h3><u>Question 4</u></h3>

Given vertices of ΔLMN:

L = (-6, -4)
M = (-5, -1)
N = (-2 -4)

Given vertices of ΔL'M'N':

L' = (-3, -3)
M' = (-2, 0)
N' = (1, -3)

From inspection of the given diagram, we can see that the two triangles are congruent since their corresponding angles and corresponding side lengths are the same.

There is no apparent reflection or rotation, so the transformation of ΔLMN to ΔL'M'N' is by translation.

To find the mapping rule for the translation, choose one pair of corresponding vertices and determine the difference between the x and y values of the translated point and the original point:

$x_{L'}-x_L =-3-(-6)=3 \implies \textsf{3 units right}$

$y_{L'}-y_L =-3-(-4)=1 \implies \textsf{1 units up}$

Therefore, the mapping rule for the translation is:

$(x,y) \rightarrow (x+3,y+1)$

8 0

1 year ago

Read 2 more answers