Simplify and leave in radical form.

Given:

The system of equations is:

[tex]x+3y=-13[/tex]

[tex]4x+4y=-12[/tex]

To find:

The solution for the given system of equations.

Solution:

We have,

[tex]x+3y=-13[/tex]            ..(i)

[tex]4x+4y=-12[/tex]          ...(ii)

Multiply equation (i) by 4, to make common coefficient of x.

[tex]4x+12y=-52[/tex]            ..(iii)

Subtract (ii) from (iii).

[tex]4x+12y-4x-4y=-52-(-12)[/tex]

[tex]8y=-40[/tex]

[tex]y=\dfrac{-40}{8}[/tex]  

[tex]y=-5[/tex]  

Putting [tex]y=-5[/tex] in (i), we get

[tex]x+3(-5)=-13[/tex]

[tex]x-15=-13[/tex]

[tex]x=-13+15[/tex]

[tex]x=2[/tex]

Therefore, the solution of the given system of equations is [tex]x=2,y=-5[/tex].

Answer:

1

Step-by-step explanation:

1. 1

if you find -4 on the x-axis, the y value is 1.

what is the 3rd page?

Answer:

lol.

cool.

I don't really care if you give me brain or not but I would love it if you did.

Step-by-step explanation:

Step-by-step explanation:

B. Four less than a number.

Answer:

1,000 hits

Step-by-step explanation:

Saturday: 2,000 hits

Friday: 1,000 hits

2,000 - 1,000 = 1,000

Answer: 1,000 hits

Step-by-step explanation:

I just took the test, it's right.

Answer:

Steps:

A = (35×21)+(21+2×3.5)×21/2

A = 735 + (21+7)×21/2

A = 735 + 28×21/2

A = 735 + 588/2

A = 735 + 294

Answer:

x<6

Step-by-step explanation:

Answer:

3x = -6у + 3 and   2y = -x+1 are the same

i dont know what the question is but this should help. they are the same line on  a graph

Step-by-step explanation:

3x = -6y + 3

2y = -x + 1 adding x on both sides and subtracting 2y on both sides

x = -2y + 1 multiply by 3

3x = -6y + 3

Answer:

1st one, 4th one, and 5th one

Step-by-step explanation:

Answer:

red, blue and purple

hey There!

for the first one

2*2=4

4*2=8

8*2= 16 so blue is correct

8*8=64 so cyan is not correct

2^8=256 so yellow is not correct

4*4=16 so red is correct

2^4 is the same as 2*2*2*2 which equals 16 so purple is also correct

Answer:

is this helpful i hope it is

Answer:

-5

Step-by-step explanation:

slopes of parallel lines are the same

Answer:

See solution below

Step-by-step explanation:

The ball will hit the ground at whrn t = 0

Given the height of the ball modeled by the expression

h(t) = -16t^2 + 64

0 =  -16t^2 + 64

16t^2 = 64

t^2 = 64/16

t^2 = 4

t = 2sec

The ball will hit the ground 2secs after

The domain are the values of the input values t and this values start from 2 and greater. Hence the domain of the function is {2, ∞}

when t = 2

h (2) = -16(2)^2 + 64

h(2) = -64+64

h(2) = 0

Hence the range are the output values i.e the height.

The range are within the range {0, ∞}

Answer:

13

Step-by-step explanation:

it's a 5,12,13 triangle

and we can find the sides by Pythagorean theorem:

a^2 + b^2 = root of c

25 + 144 = 169

root of 169 = 13

Answer:

24 flower pots

Step-by-step explanation:

Fraction of paint required per flower pot = 1/32

Number of pots that can be painted with 3/4 galoons of paint :

Total Fraction of paint had / fraction of paint required per flower pot

3/4 ÷ 1/32

3/4 * 32 / 1

(3*32) / 4

96 /4

= 24 flower pots

Answer:

$1.90  1 9/10

Step-by-step explanation:

5 1/2= $5.50

5.50+2.60= 8.10

10-8.10= $1.90

Answer:

13.5

Step-by-step explanation:

4+5 = 9.

9/2 = 4.5

4.5 * 3 = 13.5

Answer:

354294

Step-by-step explanation:

a1 = 6, r = -3

an = a1 * r^n-1 (formula)

a11 = 6 * (-3)^11-1

a11 = 6 * 590949 = 354294

a11 = 354294

Answer:

900

Step-by-step explanation:

Answer:

900 seconds

Step-by-step explanation:

Answer:

FORMULA FOR SURFACE AREA OF SPHERE = 4 pi r^2  

r = 6 " area = 4 pi X 6 X 6 = 144 pi " squared  

r = 12 "  

area = 4 X pi X 12 X 12 = 576 pi" squared  

ANSWER Area will be 4 times the original

Step-by-step explanation:

Answer:

The answer is D. 8.7

Step-by-step explanation:

A=4πr2

Solving fore

r=1

2A

π=1

2·951.1

π≈8.69978in

Answer:

20

Step-by-step explanation:

12 = 6/10 x

120 = 6x

x = 20

Answer:

14.76 cm

Step-by-step explanation:

Use the pythagorean theorem:

a² + b² = c²

Plug in the side lengths and solve for c:

7² + 13² = c²

49 + 169 = c²

218 = c²

14.76 = c

So, the hypotenuse is approximately 14.76 cm

Answer:

A ) angle measures of 47 , 589 , 85

Step-by-step explanation:

a triangle can only be 180 degrees in total and the second number completely blows it out of that range

EDIT : even if there was a typo in the question , A would still equal 190 and thus make it not a triangle

Answer:

x = 9.8

Step-by-step explanation:

to find x, use pythagorean theorem

[tex]a^{2} = c^{2} - b^{2}[/tex]

[tex]a^{2} = 14^{2} - 10^{2}[/tex]

[tex]a^{2} = 196 - 100[/tex]

[tex]a^{2} = 96[/tex]

[tex]\sqrt{a^2} = \sqrt{96}[/tex]

[tex]a = 9.7979[/tex] ⇒ 9.8

Answer:

The value of x=4√6cm or √96cm

Step-by-step explanation:

According to Pythagoras theorem,

Hypotenuse²=Perpendicular²+Base²

H²=P²+B²

Hypotenuse given=14cm

Base=10cm

Perpendicular=x

14²=P²+10²

196=P²+100

196-100=P²

96=P²

√96=P

4√6cm=x

Answer:

Step-by-step explanation:

Sum = 20

Product = 5*20 = 100

Factors = 10 , 10   {10*10 = 100 ; 10+10 = 20}

5x² + 20x + 20 = 5x² + 10x + 10x + 10*2

= 5x(x + 2) + 10(x + 2)

= (x + 2)(5x + 10)

Answer:

9 ounces.

Step-by-step explanation:

Answer:

12 ounces on the box

Step-by-step explanation:

l have tried

Answer:

30ft^2

Step-by-step explanation:

Area of a rectangle = Length * Width

Given

Length = 6ft

Width = 5ft

Substitute

Area of the rectangle = 6ft *5ft

Area of the rectangle = 30ft^2

Hence the area of the rectangle is 30ft^2

Answer:

A

Step-by-step explanation:

Given

[tex]\frac{1}{3}[/tex] x - 8 = - 12 ( multiply through by 3 to clear the fraction )

x - 24 = - 36 ( add 24 to both sides )

x = - 12 → A

Answer:

one 4 Two yes And 4

Step-by-step explanation:

Answer:

g(x) only

Step-by-step explanation:

g(x) only is an exponential function