The ordered pair (3,9) is a solution to the following system of equations.
y = x + 6
y = 2x + 3

A) True
B) False

Answer:

1/2

Step-by-step explanation:

the triangle is half the size of the orgional.

Answer:

5,120

Step-by-step explanation:

After 3 years, Ariel will have $3,472.88 in the account if no withdrawals or additional deposits are made.

The formula for compound interest is given:

[tex]A = P(1 +\dfrac{ r}{n})^{(nt)}[/tex]

Where:

A = the final amount,

P = the principal amount,

r = the annual interest rate (as a decimal),

n = the number of times the interest is compounded per year,

t = the number of years,

In this case, we have:

P = $3,000

r = 0.05

n = 1 (compounded annually)

t = 3

Plugging in these values, we get:

[tex]A = $3,000(1 + \dfrac{0.05}{1})^{(1\times 3)[/tex]

A = $3,000(1.05)^3

A = $3,000(1.157625)

A = $3,472.88

Therefore, after 3 years, Ariel will have $3,472.88 in the account if no withdrawals or additional deposits are made.

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Answer:

81,00000000

Step-by-step explanation:

Hope this Helps! :)

Answer:

12 1314

Step-by-step explanation:

i guess this should be the abswer

Answer: e = -2

Step-by-step explanation:

first, i removed the parentheses.

6 + 0.75e = 2 - 1.25e

then, i moved the terms.

0.75 e + 1.25e = 2 - 6

next, i collected the like terms and calculated them.

2e = -4

finally, i divided both sides.

e = -2

Answer:

1) The equation [tex]2(4x-1)=-8x-2[/tex] has one solution

2) The equation [tex]2(4x-1)=8x-2[/tex] has infinitely many solutions

3) The equation [tex]-2(4x-1)=-8x-2[/tex] has no solution.

Step-by-step explanation:

We need to solve the equation and match with its solution.

1) [tex]2(4x-1)=-8x-2[/tex]

Solving and finding value of x:

[tex]2(4x-1)=-8x-2\\8x-2=-8x-2\\8x+8x=-2+2\\16x=0\\x=0[/tex]

So, We get x =0

So, the equation [tex]2(4x-1)=-8x-2[/tex] has one solution

2) [tex]2(4x-1)=8x-2[/tex]

Solving the equation and finding value of x:

[tex]2(4x-1)=8x-2\\8x-2=8x-2\\8x-8x=-2+2\\0=0[/tex]

So, We get 0 =0

So, the equation [tex]2(4x-1)=8x-2[/tex] has infinitely many solutions

3) [tex]-2(4x-1)=-8x-2[/tex]

Solving the equation and finding value of x

[tex]-2(4x-1)=-8x-1\\-8x+2=-8x-2\\-8x+8x=-2-2\\0\neq -4[/tex]

So, we get 0 ≠ -4

So, the equation [tex]-2(4x-1)=-8x-2[/tex] has no solution.

Answer:

50

Step-by-step explanation:

Answer:

Look at the graphs attached

Step-by-step explanation:

The first graph is for a).

Second is for b)

I recommend you use DESMOS to help visualize the graphs :)

Answer:

a

Step-by-step explanation:

because I heard that it was subject to the same time period in which the most popular ob on pov and i was in the empty classroom But I think I can dye my hair It is the most popular ob on pov and i was in the car atm but my phone said the time was the only one ☝

Answer:

240.62$

Step-by-step explanation:

$9.75 per hour

30 hours

Total earned: 292.5$

Federal income tax (withholding) at 10% --> 29.5$

Social Security tax at 6.2% --> 18.14$

Medicare tax at 1.45% --> 4.24$

292.5 - all taxes = 240.62$

Answer:

the answer would be B.

Step-by-step explanation:

it's the correct answer

Answer:

A

Step-by-step explanation:

I think you have to divide in these and so 16 ÷ 8 = 2 and 3+3 = 6 for the powers

Answer:

about $1250 per year.

Answer:

x>-3-y

Step-by-step explanation:

subtract y from both sides

Answer:

coordinates of the orthocenter = (8, 6)

Step-by-step explanation:

I have drawn a diagram showing this triangle with the vertices. I have also drawn altitude from B perpendicular to AC at point E.

I have also drawn altitude from from A perpendicular to BC at point D.

Now, we will find the slope of AC from the line slope equation; (y - y1) = m(x - x1)

m = (y - y1)/(x - x1)

Our coordinates are; A(5,3), B(8,6), C(0,14)

Thus;

Slope of AC; m = (14 - 3)/(0 - 5)

m = -11/5

Since BE is perpendicular to AC, slope of BE = -1/slope of AC = -1/(-11/5) = 5/11

Thus, equation of BE is;

(y - 6) = (5/11)(x - 8)

Multiply through by 11 to get;

11y - 66 = 5x - 40

11y - 5x = 66 - 40

11y - 5x = 26

Slope of BC is; m = (14 - 6)/(0 - 8) = 8/-6 = -1

AD is perpendicular to BC, thus slope of AD = -1/-1 = 1

Equation of AD is;

(y - 3) = 1(x - 5)

y - 3 = x - 5

y = x - 5 + 3

y = x - 2

Putting x - 2 for y in equation of BE, we have;

11(x - 2) - 5x = 26

11x - 22 - 5x = 26

6x - 22 = 26

6x = 26 + 22

6x = 48

x = 48/6

x = 8

Put 8 for x in equation AD, then y = 8 - 2 = 6

coordinates of the orthocenter = (8, 6)

Answer:

(2, -7)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

3x + 4y = -22

7x + y = 7

Step 2: Rewrite Systems

7x + y = 7

Step 3: Redefine Systems

3x + 4y = -22

y = 7 - 7x

Step 4: Solve for x

Substitution

Step 5: Solve for y

Answer:

multiply the legth times width

Step-by-step explanation:

Step-by-step explanation:

(4x-3)(3x+6)

4x(3x+6)-3(3x+6)

12x+24-9x-18

12x-9x+24-18

3x+6

x=6/3

x=2

Answer:meh

I don’t know

Step-by-step explanation:

I don’t know SHANANSIZT SJEHSGSVSB

Answer:

I can't this type of mathematics

Answer:

29) x = 12

30) x = 6

31) x = -4

32) x = 5

Not sure if the degree symbol is needed for the answer.

Step-by-step explanation:

Apply angle sum of triangles to all 4 questions.

29) (3x + 4) + 50 + 90 = 180 i.e. x = 12

30) (8x + 7) + 35 + 90 = 180 i.e. x = 6

31) 64 + 65 + (x + 55) = 180 i.e. x = -4

32) 70 + 35 + (14x + 5) = 180 i.e. x = 5

Answer:

B=-36

Step-by-step explanation:

First, do 6(8), which equals 48

The you subtract 48 from both sides, which leaves you with:

-36=B

Answer:

b is equal to negative thirty-six.

Step-by-step explanation:

You can solve this by first multiplying the six and the eight.  Eight times six is equal to forty-eight.  You can then subtract that forty-eight from both sides, leaving you with the expression b = -36:

[tex]12 = 6(8) + b\\12 = 48 + b\\12 -48 = 48 + b - 48\\-36 = b\\b = -36[/tex]

Answer:

Both 1 and 2!

Answer:

3 3/4

Step-by-step explanation:

Answer:

The equation of a line in the slope intercept form is expressed as

y = mx + c

Where

m represents slope

c represents y intercept

The formula for determining slope is expressed as

Slope, m = (y2 - y1)/(x2 - x1)

From the points given,

x1 = 0, y1 = 4

x2 = 2, y2 = 10

Slope, m = (10 - 4)/(2 - 0) = 6/2

Slope = 3

We would determine the y intercept, c by substituting m = 3, x = 0 and y = 4 into the slope intercept equation. It becomes

4 = 3 * 0 + c

c = 4

Thus, the equation of the line would be

y = 3x + 4

We need to write out algebraic equations to describe the information we have, then solve them using substitution.

We will define length as a and width as b.

we know that a x b = 1600 cm3  (area = length x width)

and a=4b

So, we can substitute the vaule 4b for a in the first equation:

4b x b = 1600  

we can simplify to 4b2 = 1600

divide both sides by 4:

b2 = 400

take the square root of each side:

b = √400

b=20

So we know the width = 20

length = 4  x width = 80

Answer:

7

Step-by-step explanation:

Number of shells found = 14

Number of shells lost equals number of shells left :

Let Number of shells lost = x

Using the relation:

Number of shells lost = Number of shells left

x =number of shells found - number of shells lost

x = 14 - x

x + x = 14

2x = 14

x = 14 / 2

x = 7

Number of shells left = 14 - x = 14 - 7 = 7

Step-by-step explanation:

I think no. c is correct

if it helps you then plzz mark me brainliest

Answer:

22

Step-by-step explanation: