All categories

2 years ago

Triangle DEF with vertices D(2, 6), E(5, 6)and F(5, 1). Write the coordinates of triangle D’E’F’ after a

Mathematics

1 answer:

Yakvenalex [24]2 years ago

8 0

Answer:

The coordinates of triangle after reflection over y-axis

D¹( -2 ,6) , E¹( -5 ,6) , F¹ (-5,1)

Step-by-step explanation:

Explanation:-

Given that DEF with vertices D(2,6), E(5,6), and F(5,1)

Given that the triangle DEF reflection over the 'y' - axis then transformed into

( x,y) → (-x,y)

Now,

D(2,6) → D¹( -2 ,6)

E(5,6)→ E¹( -5 ,6)

F(5,1)→ F¹ (-5,1)

Final answer:-

The coordinates of triangle after reflection over y-axis

D¹( -2 ,6) , E¹( -5 ,6) , F¹ (-5,1)

You might be interested in

Anybody know this? Ive been struggling with it for a bit now..

tekilochka [14]

Use sohcahtoa. tan64= x/7 x= 14.4

6 0

2 years ago

Which set of whole numbers share the common multiples 2,520 and 3,780?

olya-2409 [2.1K]

The set of whole numbers that share the common multiples of 2,520 and 3,780 are: 35, 105, and 315.
To get these sets of whole numbers, you have to decompose 2520 and 3780 by using decomposition method or the continuous division.

See attached file.

Download docx

7 0

3 years ago

The APR of Kylee's savings account is 5.6% and the interest is compounded quarterly. If the principal in Kylee's savings account

yuradex [85]

A=5,800×(1+0.056÷4)^(4×1)
=6,131.68

4 0

3 years ago

The measurenicnt of the circumference of a circle is found to be 56 centimeters. The possible error in measuring the circumferen

BartSMP [9]

Answer:

(a) Approximate the percent error in computing the area of the circle: 4.5%

(b) Estimate the maximum allowable percent error in measuring the circumference if the error in computing the area cannot exceed 3%: 0.6 cm

Step-by-step explanation:

(a)

First we need to calculate the radius from the circumference:

$c=2\pi r\\r=\frac{c}{2\pi } \\c=8.9 cm$

I leave only one decimal as we need to keep significative figures

Now we proceed to calculate the error for the radius:

$\Delta r=\frac{dt}{dc} \Delta c\\\\\frac{dt}{dc} = \frac{1}{2 \pi } \\\\\Delta r=\frac{1}{2 \pi } (1.2)\\\\\Delta r= 0.2 cm$

$r = 8.9 \pm 0.2 cm$

Again only one decimal because the significative figures

Now that we have the radius, we can calculate the area and the error:

$A=\pi r^{2}\\A=249 cm^{2}$

Then we calculate the error:

$\Delta A= (\frac{dA}{dr} ) \Delta r\\\\\Delta A= 2\pi r \Delta r\\\\\Delta A= 11.2 cm^{2}$

$A=249 \pm 11.2 cm^{2}$

Now we proceed to calculate the percent error:

$\%e =\frac{\Delta A}{A} *100\\\\\%e =\frac{11.2}{249} *100\\\\\%e =4.5\%$

(b)

With the previous values and equations, now we set our error in 3%, so we just go back changing the values:

$\%e =\frac{\Delta A}{A} *100\\\\3\%=\frac{\Delta A}{249} *100\\\\\Delta A =7.5 cm^{2}$

Now we calculate the error for the radius:

$\Delta r= \frac{\Delta A}{2 \pi r}\\\\\Delta r= \frac{7.5}{2 \pi 8.9}\\\\\Delta r= 0.1 cm$

Now we proceed with the error for the circumference:

$\Delta c= \frac{\Delta r}{\frac{1}{2\pi }} = 2\pi \Delta r\\\\\Delta c= 2\pi 0.1\\\\\Delta c= 0.6 cm$

5 0

3 years ago

Let x=number of cds and y=number of dvds

Elis [28]

X + y = 40.....multiply by -4
4x + 6y = 180
-------------------
-4x - 4y = -160 (result of multiplying by -4)
4x + 6y = 180
------------------add
2y = 20
y = 20/2
y = 10 <===

x = 30

6 0

3 years ago