Solve using substitution. (C&D)
2C+3D=1
-3C+D=15

Answers

Answer 1

Answer: Equation 2
-3c+d=15
d=15+3c

Substitute into eq 1
2c+3(15+3c)=1
2c+45+9c=1
11c=-44
c=-44/11

c=-4

Sub into eq 1

2(-4)+3d=1
-8+3d=1
3d=9
d=9/3

d=3

Verify:
2(-4)+3(3)=1
-8+9=1
1=1 -- True.

Answer 2

Answer: 2c + 3d = 1 ⇒ 2c + 3d = 1 ⇒ 2c + 3d = 1
-3c + d = 15 ⇒ 3(-3c + d) = 15 ⇒ -9c + 3d = 15
   -7c = 16
   -7c = 16
   -7 - 7
   c = -2 2/7
   2(2 2/7) + 3d = 1
       4 4/7 + 3d = 1
      -4 4/7    -4 4/7
   3d = -3 4/7
   3d = -3 4/7
      3 3
   d = -1 4/21
   (c, d) = (-2 2/7, -1 4/21)

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The equation of a circle is (x+10)^2+(y-4)^2=100 What is the center and radius of the circle. 1.) Center-10,4); Radius: 10 2.) Center: (-10,4); Radius: 10,000 3.) Center10,-4);Radius: 10 4.) Center10,-4);Radius: 10,000

Find the nth term of 2, 8, 18, 32, 50

Answers

From the series, 2, 8, 18, 32, 50,...

By observation and by trial and error.

The first term, n = 1    = 2*1*1 = 2

Second term, n =2,     = 2*2*2 = 8

Third, n =3,    = 2*3*3 = 18

Third term, n = 4, = 2*4*4 = 32

Fourth term, n =5, 2 * 5* 5 = 50

For nth term, 2 *n *n = 2n²

Therefore nth term = 2n²

I hope this helps.

How many lines of symmetry does the hexagon have?

Answers

$Look\ at\ the\ picture\n\nAnswer:6$

MATHS - 10 POINTS HCF/LCM thankyou!!A car’s service book states that the air filter must be replaced every 10,000 miles and the diesel fuel filter every 24,000 miles.

At how many miles will they both need replacing at the same time?

DO I WORK OUT THE LCM OR HCF?
WHAT IS THE FINAL ANSWER AND WHY??

PLEASE INCLUDE WORKING THANK YOUUU!!!!!

Answers

LCM

10,000|2
5,000|2
2,500|2
1,250|2
625|5
125|5
25|5
5|5
1

24,000|2
12,000|2
6,000|2
3,000|2
1,500|2
750|2
375|3
125|5
25|5
5|5
1

$LCM(10000,24000)=2^6\cdot3\cdot5^4=120,000$

The sum of the measure of the interior angles of a polygon is 1080 what kind of polygon is it?

Answers

Hello,
Suppose n the number of vertex.
From a vertex, we can draw n triangles.
sum of angles :(n-2)*180
180n-360=1080
==>180n=(1080+360)
==>n=8
An octogon

Answer:

octagon

Have a nice day

estion 15 of 20 : Select the best answer for the question. 15. In order for a button to fit through its buttonhole, the hole needs to be the size of the button's diameter. What size buttonhole is needed for a button with a circumference of 9.42 centimeters?

Answers

We have to calculate the size of a buttonhole if we know that it needs to be the size of the button`s diameter. We know also a circumference of the button: C = 9.42 cm. Formula for calculating the circumference is: C = 2 * r * Pi = d * Pi. Pi is approximately 3.14. So 9.42 = d * 3.14; d = 9.42 : 3.14; d = 3 cm. Answer: The size of the buttonhole has to be 3 cm.

In AVWX, mZV =
Find mZW.
(6x – 4),
m_W = (x + 12)°, and mZX = (3x + 2)°