A linear equation written in the form y = mx + c is known as,
a) y-intercept
b) point-slope form
c) standard form
d) slope-intercept form

Answer:

A = 35 cm^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh where b is the base and h is the height

A = 1/2 ( 10)(7)

A = 35 cm^2

Answer:

8 websites

Step-by-step explanation:

1.25+1.25+1.25+1.25+1.25+1.25+1.25

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(x - 3)(x + 9) = -27

Expand the brackets:

x^2 + 9x - 3x - 27 = -27

Simplify:

x^2 + 6x - 27 = -27

+ 27 to both sides

x^2 + 6x = 0

Factorise:

x(x + 6)

The solutions are x = 0, x = -6

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Answer: If you would like to solve (x – 3)(x + 9) = –27, you can do this using the following steps:

(x – 3)(x + 9) = –27

x^2 + 9x - 3x - 27 = -27

x^2 + 6x - 27 + 27 = 0

x^2 + 6x = 0

x * (x + 6) = 0

1. x = 0

2. x = -6

The correct result would be x = 0.

Step-by-step explanation:

Answer:

1/4 cup of sugar

Step-by-step explanation:

Answer:1/4

Step-by-step explanation:

1/2 divided by 2 = 1/4

Answer:

none because there is no 7

Answer:

1017.8

Step-by-step explanation:

the area of the circle is A = pi r^2

Answer:

Addition

Step-by-step explanation:

The first step in solving 4x-3=5 is to add 3 to both sides. This demonstrates the addition property of equality, since adding a number to both sides of an equation balances it.

Answer:

(x-6)^(2)=y+7

Step-by-step explanation:

Answer:

x = -2  x = 2  (irrational numbers)

Step-by-step explanation:

Answer:

first one take 1.5$ and the second one take 1.86$

Step-by-step explanation:

x + y = 3.36 --> the boys are splitting $3.36

x = 3y - .12 --> one boy received $.12 less than 3 times as much as the other

--> substitute the second equation for the x in the first equation

(3y - .12) + y = 3.36 --> combine like terms

4y - .12 = 3.36 --> add .12 to both sides of the equation

4y = 3.48 --> divide both sides by 4

y = .87

the other boy gets $0.87

substitute into x = 3y - 12

x = 3(.87) - .12

x = 2.61 - .12

x = 2.49

the first boy gets $2.49

Answer:

7(14)-11=87

2(14)-3=25

5(14)-2=68

Step-by-step explanation:

Ight Homie, lemme help you out.

To start, add (7x-11) + (2x-3) + (5x-2)

That should get you (14x-16)

Then set up the equation

14x-16=180

180 is the sum of the triangle angles. (if i said that right)

Then solve for x

14x-16=180

     +16   +16

14x=196                Divide

((14x)/14)=196/14

x should equal 14.

Then replace x with 14

7(14)-11=87

2(14)-3=25

5(14)-2=68

I hope this helps. Stay safe Homie!

Answer:

1

Step-by-step explanation:

7x-1+2x-1=7

9x=9

x=1

Answer:

x=1

Step-by-step explanation:

RS + ST = RT

7x-1 + 2x-1 = 7

Combine like terms

9x-2 = 7

Add 2 to each side

9x-2+2 = 7+2

9x= 9

Divide by 9

9x/9 = 9/9

x = 1

Answer:

x = 20

KPL =  64

JPL =  116

Step-by-step explanation:

A linear pair adds to 180 degrees

2x+24  + 4x+ 36 = 180

Combine like terms

6x+60 = 180

Subtract 60 from each side

6x = 120

Divide by 6

6x/6 = 120/6

x = 20

KPL = 2x+24 = 2*20+24 = 40+24 = 64

JPL = 4x+36 = 4*20 +36 = 80+36 = 116

KPL = 64

x = 20

JPL =  116

Step-by-step explanation:

Linear = 180

2x+24  + 4x+ 36 = 180

Must combine like terms ( 2x and 4x)

6x+60 = 180

Isolate x by subtracting 60

6x = 120

Divide by 6 to simplify

6x/6 = 120/6

x = 20

KPL = 2x+24 = 2*20+24 = 40+24 = 64

JPL = 4x+36 = 4*20 +36 = 80+36 = 116

Solution,

P={7,8,12,19}

Q={12,15,17,19}

P U Q={7,8,12,19} U { 12,15,17,19}

={ 7,8,12,15,17,19}

P-Q={7,8,12,19}-{12,15,17,19}

={7,8}

Hope it helps

Good luck on your assignment

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The Answer To Your Question Is:

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Answer:

A

Step-by-step explanation:

Thats the correct definition

Answer:

life changes over time?

Step-by-step explanation:

sorry if it is wrong. I havent done this yet

Answer:

Option (b)

Step-by-step explanation:

Let the points represented by the given table lie on a line.

And the equation of the line is,

y = mx + b

Where m = slope of the line

b = y-intercept

Let the points lying on the line are (0, -2) and (3, -3)

Slope of the line 'm' = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

m = [tex]\frac{-2-(-3)}{0-3}[/tex]

m = [tex]\frac{-2+3}{0-3}[/tex]

m = -[tex]\frac{1}{3}[/tex]

y-intercept 'b' = (-2)

Equation of the line is,

y = [tex]-\frac{1}{3}x-2[/tex]

This equation matches with equation given in option (b).

Option (b) will be the answer.

Answer:

He started the day with 7.65

Step-by-step explanation:

Assuming at the beginning of yesterday he had a balance of x

He will be charged 34 dollars since he went negative

x- 3.75 -12.07 - 34 =-42.17

Combine like terms

x -49.82 = -42.17

Add 49.82 to each side

x -49.82+49.82 = -42.17+49.82

x = 7.65

Answer:

∠ BOJ and ∠BOE

Step-by-step explanation:

A central angle is an angle whose vertex is at the centre of the circle.

The 2 sides of the angle are radii from the opposite ends of an arc.

∠ BOJ and ∠ BOE are therefore central angles

Answer:

lines n and o are parallel lines

Step-by-step explanation:

Answer:

12 nickels, 9 quarters, 15 dimes

Step-by-step explanation:

Let's call the number of nickels n, the number of dimes d, and the number of quarters q. Now, we can set up the following equations:

n+d+q=36

q=n-3

d=q+6

Now, we can do some substitution:

d=(n-3)+6=n+3

Plugging this into the first equation, you get:

n+(n+3)+(n-3)=36

3n=36

n=12

There are twelve nickels, meaning that there are 9 quarters and 15 dimes. Hope this helps!

Answer:

6

Step-by-step exp

Answer:

6

Step-by-step explanation:

Answer:

13) x=4, y=0

15) x= -3, y=1

Step-by-step explanation:

13. Label the 2 equations.

y= x-4 -----(1)

-4x -6y= -16 -----(2)

From (2): -2x -3y= -8 -----(3)

(divide by 2 throughout)

Subst. (1) into (3):

-2x -3(x-4)= -8

-2x -3x +12= -8 (expand)

-5x= -8 -12 (simplify, constant to 1 side)

-5x= -20 (simplify)

x= 4 (divide by -5 throughout)

subst. x=4 into (1):

y= 4 -4

y= 0

15. x= y -4 -----(1)

-2x +3y= 6 -----(2)

subst. (1) into (2):

-2(y-4) +3y= 6

-2(y) -2(-4)= 6 (expand)

-2y +8= 6

-2y= 6 -8 (bring constant to 1 side)

-2y= -2

y= 1 (divide by -2 throughout)

subst. y=1 into (1):

x= 1 -4

x= -3

Answer:

$6,300

Step-by-step explanation:

Step 1

Find the Cost Price of the books

A trader purchased 1,000 books at the rate of $5.40 per book

This is calculated as:

If 1 book = $5.40

1000 books = ???

We cross multiply

1000 books × $5.40

= $5,400

He bought 1000 books for $5,400

His total cost price = Transportation + Cost of books

Transportation = $200

Cost price = $5,400 + $200

= $5,600

Step 2

Find the profit he made from the sale of the books

Percentage profit = Profit / Cost price × 100

Percentage profit = 12.5%

Cost price = $5,600

We have :

12.5 = Profit/ $5,600 × 100

12.5 = (100 × Profit)/ $5,600

Cross multiply

12.5 × $5,600 = 100 × Profit

Divide both sides by 100

(12.5 × $5,600) ÷ 100 = Profit

Profit = $700.

Step 3

Find the selling price

The Formula to calculate Selling Price is given as:

Selling price = Cost Price + Profit

Selling price = $5,600 + $700

Selling price = $6,300

Answer:

P=1440

Step-by-step explanation:

"P is 90 more than Q."

P=Q+90

"20% of P is equal to 1/3 of Q."

1/5(P)=(1/3)Q

From the first equation, we have that P=Q+90.

Thus, we can substitute any P's for Q+90's!

The second equation becomes 1/5(Q+90)=(1/3)Q

Distribute the 1/5 and 1/3 to get (1/5)Q+180=(1/3)Q

Subtract 1/5 Q from both sides.

You should get 180= (2/15)Q

Multiply both sides by 15/2 to get 1350=Q.

Given Q, we can easily solve for P.

Remember the first equation- P=Q+90

Then substitute in 1350 for Q.

So we have P=1350+90

Finally, we have P=1440

Answer:

x=-5/2

Step-by-step explanation:

4 x^2 +20 x +25 = 0

x^2+5x=-25/4

(b/2)^2=(5/2)^2

x^2+5x+25/4=0

(x+5/2)^2=0

x=-5/2

(Hope this helps)

Answer:

48 students in science

Step-by-step explanation:

Let r = students in robots club

s = students in science club

r+s = 84

s = r+12

Substitute the second equation into the first

r+(r+12) = 84

Combine like terms

2r+12 = 84

Subtract 12 from each side

2r = 84-12

2r = 72

Divide by 2

r = 72/2 = 36

We need to find s

s = r+12

s = 36+12

s = 48

There are 48 students in the science club