solve these simultaneous linear equation
3x - 4y = 1
6x + 7y = 13​

Answer:

y = 6·sin(3·(x - 1)) + c

Step-by-step explanation:

The general form of an equation for a sinusoidal function is presented ad follows;

y = a·sin(b·(x - h) + c

Where;

a = The amplitude of the equation

T = The period = 2·π/b

h = The phase shift

c = The vertical shift

From the question, we have;

a = 6,

2·π/3 = 2·π/b

∴ b = 3

h = 1

We get;

y = 6·sin(3·(x - 1)) + c.

Answer:3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Subset : {} ; {1}  ; {2}  ; {3}  ; {1,2}  ; {2,3} ;  {1, 3} ; {1,2,3}

Number of subsets = 8

Answer:

5000 miles per hour.

6000+4000 =10000

10000/2 = 5000 miles per hour

Answer:

7200

Step-by-step explanation:

Since the first digit cannot be zero,

there are 9*10*10*10 = 9000 4-digit numbers.

Each of these with a last digit not equal 5 or 0 is not divisible by 5.

Therefore, there are 8 choices of last digit

9*10*10*8  = 7200

Answer:

12/24 to the lowest term is 1/2

Step-by-step explanation:

12 is half of 24, 1 is half of 2

Answer:

It's lowest term is 1/2.

Answer:

The side of square A is 30 cm.

Step-by-step explanation:

Given that,

The dimensions of square A are three times the dimensions of square B.

The area of square A is 900 sq cm.

Side of square A = 3( side of square B)

Let the side of square B is b. So,

Side of square A, a = 3b

We know that, the area of square is side². So,

[tex](3b)^2=900\\\\9b^2=900\\\\b^2=100\\\\b=10\ cm[/tex]

Side of square A, a = 3(10) = 30 cm

Hence, the side of square A is 30 cm.

Answer:

-10

Step-by-step explanation:

-x^2 + 4x + 10

substitute the value of x

-(-3)^2 + 4*-3 + 10

-9 +  (-12) + 10

-9 - 12 + 10

-20 + 10

-10

Answer:

sympathise or strategies

Answer:

q12 B. q17 D.

Step-by-step explanation:

q12

since the side of cubes are the same,

cube root 216 = 6.

q17.

substitute x = 2 5/8 into the equation

4(2 5/8) + 9(2(2 5/8) +1)

= 66 3/4

nothing is shown as far as I can tell

edit: but the inner angles of a regular pentagon should always be 120°. maybe it helps

Step-by-step explanation:

can see any photo concerning the angle

Answer:

1/3 = 56/168

5/8 = 105/168

4/7 = 96/168

Step-by-step explanation:

the simplest approach to common denominator is by just multiplying all different denominators:

3 × 8 × 7 = 168

3 and 7 are prime numbers (no other whole number factors are a part of them).

8 has sub-factors : 4 and 2

but we cannot build any multiplication products with them and 3 and 7 that is then divisible by 8.

so, actually, 168 is the smallest common denominator.

so, to bring every fraction to a 168 denominator, we need to calculate the scaling factor between the original fraction denominator and the new one.

for 1/3 we have therefore to calculate 168/3 = 56

for 5/8 we have to calculate 168/8 = 21

for 4/7 we have to calculate 168/7 = 24

and so

1/3 = 1×56/168 = 56/168

5/8 = 5×21/168 = 105/168

4/7 = 4×24/168 = 96/168

Answer:   4:3.

Step-by-step explanation:

The original answer is 16:12. But, when it's simplified, it's 4:3

Answer:

4:3

Step-by-step explanation:

28-12 the boys

16=girls

ratio; 16=12

g=b

simplify 16=12

4=3

Answer:

16 cm

Step-by-step explanation:

"regular polygon" means all sides and angles are the same.

the sum of all exterior angles must be 360 degrees.

so, how often do 45 fit into 360 ?

2 times in 90, which in turn fit 4 times into 360, so 8 times.

the polygon has 8 corners and 8 sides.

each side is originally 10cm

so the original perimeter is 8×10 = 80 cm

now, every side is reduced to 1/5th of the original size, this also reduces the perimeter by the same factor.

=> perimeter = 80×(1/5) = 80/5 = 16 x cm

control :

applying the scaling factor of 1/5th to every side transforms every side from 10 cm to 2 cm.

we still have 8 sides.

perimeter = 8 × 2 = 16 cm

correct

===============================================

To find this answer, you apply the given translation rule to the coordinates of point P(-2,6)

[tex](x,y) \to (x-2, y-16)\\\\(-2,6) \to (-2-2, 6-16)\\\\(-2,6) \to (-4, -10)\\\\[/tex]

We see that point P' has a y coordinate of -10

This translation, aka shifting, rule moved point P 2 units to the left and 16 units down.

Answer:last one D ( -10)

Step-by-step explanation:

edg

Answer:

it's a) 7a/20b

Step-by-step explanation:

[tex]5( \frac{a + 2}{4b} ) - 2( \frac{a - 1}{10b} ) + 4( \frac{a - 3}{5b} ) \\ \\ \frac{5a + 10 - 2a + 2 + 4a - 12}{20b } \\ \\ \\ \frac{7a}{20b} [/tex]

Answer:

A

Step-by-step explanation:

ik that the answer

Answer:

y = 63

Step-by-step explanation:

A straight line is equal to 180 degrees.

180 = 2y - 18 + y + 9

180 = 3y -9

189 = 3y

189/3

y = 63

Answer:

63

Step-by-step explanation:

2y-18+y+9=180 degrees

3y-9=180 degrees

3y=189 degrees

y=63 degrees

Answer:

It's 1,3

Step-by-step explanation:

Coordinate plane and x is 1 and y is 3

Answer:

(1,3)

Step-by-step explanation:

The spot where both lines intersect is the solution to the system of equations.

Hope that this helps!

Step-by-step explanation:

Mean=sum of terms/ number of terms

22+23+25+17+18/5

105/5

21

Finding the age of the sixth person

105+x/6=24

105+x=24x6

105+x=144

x=144-105

x=39

Answer:

I need the full question

Answer:

5, 19, 21

Step-by-step explanation:

The sum of two smaller sides must be larger than the largest side in order to be a triangle. This means that only the first one can be a set of the triangle.

Answer:

B ) Pharming

Step-by-step explanation:

When the user types in a URL they are directed to a fake website this is known as Pharming. This is one of many cyber attacks and usually occurs from a virus that has found it's way into your personal computer or server. The harmful virus basically waits until you open your internet browser and type in a URL to a specific website. Instead of taking you to that correct website it will take you to a replica site which will send all the information that you input, back to the creator of the virus. This is done so that they can obtain all of your personal information including bank details.

Answer:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

Answer:

<D = 30

< C = 65

<B = <E = 85

16 = BC

Step-by-step explanation:

ABC ~ Triangle DEF

<A = <D = 30

< C = <F = 65

Since they are similar triangles

A+ C + B = 180 since the angles of a triangle = 180

30+65+B =180

95+ B = 180

<B = 180 -95 = 85

<B = <E = 85

The triangles are similar so the sides are proportional

AB      BC

----  = ---------

DE      EF

20      BC

----  = ---------

35      28

Using cross products

20*28 = 35 BC

Divide each side by 35

20*28/35 = 35/35 BC

16 = BC

Answer:

answer is D.Y=>X^2-3

Step-by-step explanation:

use desmos . com and go to graphing calculator. plug formula in.

Answer:

b

Step-by-step explanation:

okidoki

Step-by-step explanation:

a) 9^-½

= (1/9)^½

= (√1)/(√9)

= 1/3

=0.333....

b). 27^-⅔

= (1/27)^⅔

=(³√1)²/(³√27)²

=1/9

=0.111.....

=

Answer:

1520.53

Step-by-step explanation:

The volume of a cylinder is V = pi r^2 h

So you put 16 as the h and half of 11 because 11 is the diameter as r.

V= pi (5.5)^2 * 16

We can also approximate pi and put 3.1415

V= 3.1415 * (5.5)^2 * 16

V = 3.1415 * 30.25 * 16

V= 1520.486

And that is closest to the 3rd option 1520. 53 so that's the answer.

Answer:

x=58

Step-by-step explanation:

Answer:

x=26 degree

Step-by-step explanation:

x+106+48 =180 degree (sum of interior angles of a triangle is 180 degree)

x+154=180

x=180-154

x=26 degree

therefore the value of x is 26 degree.

Answer:

192

Step-by-step explanation:

16^2+b^2= 20^2

256+b^2=400

b^2=144

b= 12

height = 12

1/2bh= Area of a triangle

12*32=384

384/2= 192

Answer:

tht's just the answer

Step-by-step explanation:

9/7 is equal to 54/42 and 1/6 is equal to 7/42

54/42 - 7/42 is equal to 47/42

Answer:

47/42

Step-by-step explanation:

First, we make both fractions have the same denominator. The LCM of 6 and 7 is 42.

9/7 * 6/6 = 54/42

1/6 * 7/7 = 7/42

54/42 - 7/42 = 47/42