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3 years ago

If ABCDE is reflected over the x-axis and then translated 3 units left, what are the

Mathematics

1 answer:

Aloiza [94]3 years ago

7 0

Answer:

(-6,1)

Step-by-step explanation:

A. Reflection

When you reflect a point (x, y) across the x-axis, the x-coordinate remains the same, but the y-coordinate gets the opposite sign.

Thus, D (-3,-1) ⟶ D' (-3, 1)

B. Translation

When you translate a point horizontally, its x-coordinate changes, but the y-coordinate. remains unchanged.

You translated the point 3 units to the left.

D'(-3, 1) ⟶ D"(-6,1)

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All help is much appreciated please and thank you

scoundrel [369]

Anddd Similar traingles for one more time.

Here,
RQ/RP = RS/RT = QS/PT = 1/2

Using the values of QS and PT will give,

$\frac{y}{y + 46} = \frac{1}{2} \\ \\ 2y =y + 46 \\ \\ y = 46$

Therefore y= 46 units.

6 0

2 years ago

Can you help me please??

dusya [7]

Answer:

y = $\frac{4}{5}x+\frac{54}{5}$

Step-by-step explanation:

Equation of a line has been given as,

$y=\frac{4}{5}x+\frac{3}{5}$

Here, slope of the line = $\frac{4}{5}$

y-intercept = $\frac{3}{5}$

"If the two lines are parallel, there slopes will be equal"

By this property slope of the parallel line to the given line will be equal.

Therefore, slope 'm' = $\frac{4}{5}$

Since, slope intercept form of a line is,

y = mx + b

Therefore, equation of the parallel line will be,

y = $\frac{4}{5}x+b$

Since, this line passes through a point (-6, 6),

6 = $\frac{4}{5}(-6)+b$

6 = $-\frac{24}{5}+b$

b = $6+\frac{24}{5}$

b = $\frac{30+24}{5}$

b = $\frac{54}{5}$

Equation of the parallel line will be,

y = $\frac{4}{5}x+\frac{54}{5}$

4 0

2 years ago

What is the solution to this system of linear equations?<br><br> x + y = 4<br><br> x − y = 6

Amiraneli [1.4K]

X+y = 4, therefore y = 4-x when you rearrange the equation.
You can subsitute this in: x-(4-x) = 6
-4+x = 6-x
x=10-x
2x = 10
x = 5
Substitute x into the previous equation:
5+y = 4
y = 4-5
y = -1

5 0

3 years ago

Read 2 more answers

2/15 plus 3/15 simplify

nikdorinn [45]

2/15+3/15=5/15 5 can go into both 5/5=1 and 15/5=3 which means
=1/3 is the answer

7 0

3 years ago

Read 2 more answers

The owner of the Koffee Shop pours the remainder of her old house blend, which is 40 % 40 % Colombian beans, into a 60 60 -pound

maks197457 [2]

Answer:

0.4h ; 60 - h ;18 - 0.3h ; 0.1h + 18

Step-by-step explanation:

Given that:

Old house blend = 40% Columbian beans

New house blend = 30% Columbian beans

h = number of pounds of old house blend

a.) pound of columbian bean in old house blend :

40% of h = 0.4h

b.) pound of new blend poured into the bean:

Size of bin = 60 pound

Size of bin - pound of old house blend

(60 - h)

c. Amount of columbian bean in pound of new house blend :

30% of (60 - h)

0.3 * (60 - h)

18 - 0.3h

D.) Amount of columbian bean in 60 pound bin

(Pound of columbian bean in old house blend + pound of Columbian bean in New house blend)

0.4h + (18 - 0.3h)

0.4h + 18 - 0.3h

0.1h + 18

4 0

2 years ago