Write the equation in slope-intercept from the two points given: (4,2) and (0,-5)


Explain. (step by step)

Answer:

2. x = 3

3. x = 10 and y =2

Step-by-step explanation:

2.

From inspection, we can see that EF = 10 and KL = 5

Therefore the ratio KL : EF = 5 : 10 = 5/10 = 1/2

This means that the side measures of ΔJKL are 1/2 the corresponding side measures of ΔGEF

Therefore, if GF = 22, then JL = 22 ÷ 2 = 11

So:  2x + 5 = 11

⇒  2x = 11 - 5 = 6

⇒ x = 6 ÷ 2 = 3

x = 3

3.

From inspection, we can see that DF = 12 and HJ = 9

Therefore the ratio DF : HJ = 12 : 9 = 12/9 = 4/3

This means that the side measures of ΔDEF are 4/3 times the corresponding side measures of ΔHGJ

Therefore, if HG = 6, then DE = 6 x 4/3 = 8

So:  2y + 4 = 8

⇒  2y = 8 - 4 = 4

⇒ y = 4 ÷ 2 = 2

y = 2

Similarly, if GJ = 24, then EF = 24 x 4/3 = 32

So:  4x - 8 = 32

⇒  4x = 32 + 8 = 40

⇒ x = 40 ÷ 4 = 10

x = 10

Answer:

It costs $25 for a parent and $6 for a child

Step-by-step explanation:

Let x be the cost it takes for an adult to enter, and y be the cost it takes for a child to enter then...

x+y=31

150x+225y=5100

We can write the first equation in terms of x by subtracting y from both sides...

x=31-y

Now, we can solve the system of equations by substitution (substitute 31-y for x)...

150(31-y)+225y=5100

Distribute the 150 to the terms inside of the parentheses

150(31)-150(y)+225y=5100

   4650-150y+225y=5100

Combine like terms

4650+75y=5100

Subtract 4650 from both sides

75y=450

Divide both sides by 75

y=6

Plug 6 back in for y to solve for x:

x=31-y=31-6=25

It costs $25 for a parent and $6 for a child

Answer:

We know that there are 200 coins

10 percent of the coins in the jar are nickels.

60 percent of the jar are pennies.
So how many nickels, dimes, and pennies.

Let’s break this down.
So 200 coins  and 60 percent are pennies.
so lets find pennies first, so remeber percent means “out of a hundred” so 60 percent is really 60/100 or 0.6. Multiply 0.6 by 200 and you’d get 120 pennies.

120 pennies

Now 10 percent fo the coins in the jar are nickels. Same thing, 10 percent is basically 10/100 or 0.1.  0.1 * 200 is 20.

(1) 20 nickels

Now we know that there are 120 pennies and 20 nickels. The remaining is 60 coins left which has to be dimes.

2) 60 dimes.

Now if Karl removes 100 pennies, what would the percentage be. Now there were 120 pennies. So 120-100= 20. There’d be 20 pennies left.
We have to find the percentage but remember its 100 coins gone too so.
200-100=100
So it’s asking what percent of 100 is 20. Which should be pretty simple to look at (only in this situation or any other easily definable benchmarks).

3) 20 percent are pennies.

Hope it helped?
*brainly is appreciated*

Answer:

113.04 cm³

Step-by-step explanation:

Volume = [tex]\frac{\pi r^2h}{3}[/tex]

Solve:

-Chetan K

Answer:

x=7-2y

Step-by-step explanation:

Answer: y=x-1

General equation of linear function: [tex]y=mx+b[/tex]

A(-1;0); x=-1, y=0

B(0;-1); x=0, y=-1

Let's solve the system of equations

[tex]\displaystyle\\\left \{ {{0=-1m+b} \atop {-1=0x+b}} \right. =>b=-1=>0=-m-1;m=-1[/tex]

Percentage represents a part of a whole. The total amount that Sandra needs to pay for a slice of pizza and salad is $10.09.

The percentage is a way to represent a part of a whole. for example, one-fourth of an area A can be written like 25% of A(0.25 A).

Give to us

Sandra ordered a slice of pizza with a side salad for $9.50.

The tax was 6. 2%.

The amount of tax that Sandra needs to pay,

[tex]6.2\%\ of\ \$9.50\\\\=0.062 \times 9.50\\\\= \$0.589[/tex]

As we know that tax is the extra cost that we need to pay, therefore, the total amount Sandra needs to pay,

Total Amount = Cost + tax

                       = $9.50 + $0.589

                       = $10.089 ≈ $10.09

Hence, the total amount that Sandra needs to pay for a slice of pizza and salad is $10.09.

Learn more about Percentage:

https://brainly.com/question/6972121

Hey there!

4(3y - 9)

DISTRIBUTE 4 WITHIN the PARENTHESES

= 4(3y) + 4(-9)

= 12y - 36

Therefore, your answer is: 12y - 36

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

[tex]4(3y - 9) = (4 \times 3y) - (4 \times 9) [/tex]

[tex]= 12y - 36[/tex]

Answer:

25

Step-by-step explanation:

Answer:

*

Step-by-step explanation:

Pattern A: is adding 2 dots each time

Pattern B: is going up 1,2,3,4 (adding that amount each time)

Pattern C: Times by 3 each time

Answer:

Step-by-step explanation:

Since the altitude of an isosceles triangle drawn from its vertex angle bisects the base, we can use the pythagorean theorem to say that:

16^2 = x^2 + x^2

256 = 2x^2

128=x^2

x = 8sqrt2.

so the base has a length of 16sqrt2.

Answer:

[tex] \sqrt{212} [/tex]

Step-by-step explanation:

[tex]( {2 \sqrt{5} })^{2} - {2}^{2} \\( 4 \times 5) - 4 \\ 20 - 4 \\ 16 \\ \sqrt{16 } = 4 \\ \\ {4}^{2} + {14}^{2} \\ 16 + 196 = 212 \\ \sqrt{212} [/tex]

Answer: 150mm squared

Step-by-step explanation:

Multiply by 100

Answer:

150mm²

Step-by-step explanation:

[tex]here,\\ (1.5*100)mm^{2} =150mm^{2}[/tex]

Answer:

if he delivers 95 newspapers in 2 hours it means that he can deliver 190 in 4 hours, sadly if we were to find out how much he can do per hour he would do 47.5 so this would mean that he would do 237.5 we can round this up to 238, we could expect him to deliver 238 newspapers

Answer: 12

Step-by-step explanation:

Following PEMDAS, I’ll solve the multiplication first and then add or subtract the values from left to right.

1-2+5-2+5x2

1-2+5-2+10

-1+5-2+10

4-2+10

2+10

12

Answer:

12

Step-by-step explanation:

You need to use the order of operations, PEMDAS. It stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

First, multiplication on 5x2 so now it is 1-2+5-2+10.

Next, is addition and subtraction. When it says left to right you are starting with the part of the equation closest to the left, so 1-2=-1. Then add five to get 4. Subtract 2 to get 2. Finally, add 10 to get 12.

Hope you get an A! <3

Answer:

4/7 = 40/70

3/10 = 21/70

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3*9^(2n) = (3^(n +1))^3

= 3×9^0^3

= 3×9^0

= 3×1

= 3

Answer: Money is the reason we exist.

Step-by-step explanation:

Answer:

(4,5)

Step-by-step explanation:

To begin, we'll solve for y in the first equation.

-y = 3 - 2x

y = 2x - 3

Then, plug this in for y in the second equation.

9x - 6(2x-3) = 6

9x - 12x + 18 = 6

-3x = -12

x = -12/-3

x = 4

Then, you just plug your x value into one of the equations and solve for y. Personally, I think it's easiest to plug it into y = 2x - 3

y = 2(4) - 3

y = 8 - 3

y = 5

[tex]\bold{\huge{\purple{\underline{ Solution }}}}[/tex]

[tex]\bold{\underline{ Given:-}}[/tex]

[tex]\bold{\underline{ Let's \: Begin :-}}[/tex]

[tex]\sf{ 2x - y = 3 ...eq( 1 )}[/tex]

[tex]\sf{ 9x - 6y = 6 ...eq( 2 )}[/tex]

Solving eq( 1 ) :-

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

[tex]\sf{ x = 3 + y/2 ...eq(3 )}[/tex]

Subsitute eq( 3 ) in eq( 2) :-

[tex]\sf{ 9(3 + y/2) - 6y = 6}[/tex]

[tex]\sf{ 27 + 9y/2 - 6y = 6}[/tex]

[tex]\sf{ 27 + 9y - 12y/2= 6}[/tex]

[tex]\sf{ 27 + - 3y = 6 × 2 }[/tex]

[tex]\sf{ - 3y = 12 - 27 }[/tex]

[tex]\sf{ - 3y = - 15 }[/tex]

[tex]\sf{ y = -15/-3}[/tex]

[tex]\sf{ y = 5 }[/tex]

[tex]\sf{\red {Thus, \: the\: value\: of \:y \: is\: 5 }}[/tex]

Now, Subsitute value of x in eq( 3) :-

[tex]\sf{ x = 3 + 5/2 }[/tex]

[tex]\sf{ x = 8/2 }[/tex]

[tex]\sf{ x = 4}[/tex]

[tex]\sf{\pink{Hence , \: the\: value\: of\:x\:and \:y \: is\: 4 \: and \: 5 .}}[/tex]

Answer:

here's your answer hope it helps you

Step-by-step explanation:

distance= speed*time

speed=70 miles per hour(280 in 4 hrs so divide)

time= 6.5 hour

distance=70×6.5 miles

distance=455.0 miles

Answer:

b) 1990659

Step-by-step explanation:

b) 9*9*9*9=6561, 12*12*12=1728, 8*8*8*8=4096 / 12*12=729, 2*2*2*2*2=32. 6561*1728*4096/729*32=1990656

Answer:

12. 5

11.

10

10

15. 7

14. 11

2

=

16

16

18. 3

+

11

17

3

4

co

loo

8

Step-by-step explanation:

12. 5

11.

10

10

15. 7

14. 11

Answer:

  4n√(3n) +3√n -√(3n)

Step-by-step explanation:

The expression can be simplified, but terms cannot be combined.

  [tex]\sqrt{48n^3}+\sqrt{9n}-\sqrt{3n}=\sqrt{(4n)^2(3n)}+\sqrt{3^2n}-\sqrt{3n}\\\\=\boxed{4n\sqrt{3n}+3\sqrt{n}-\sqrt{3n}}[/tex]

Answer:

73.6

Step-by-step explanation:

this is an addition question so we're going to answer it with an equation let's put 24.6 + 49 =73.6

Mungkin Gini Kali Ya Kak

(3) × 2(2)

Answer:

9x² - 12x + 4

Step-by-step explanation:

(3x - 2)²

= (3x - 2)(3x - 2)

Each term in the second factor is multiplied by each term in the first factor , that is

3x(3x - 2) - 2(3x - 2) ← distribute parenthesis

= 9x² - 6x - 6x + 4 ← collect like terms

= 9x² - 12x + 4

Answer:

42.9

Step-by-step explanation:

Something tells me that you want it as fast as possible, but if you need an explanation just ask!

Good luck!

[:

Answer:

58.57 approximately 58.6

Step-by-step explanation:

we've been given the value for line MN as 67.2m and also line AN as 32m so we look for line MA by saying 67.2 minus 32m to give 35.2m

considering the big triangle we have line MN and we have line MP but we don't have line NP to get line NP we use pythagoras theorem

hypotenuse Square = opposite Square + adjacent Square

81.9*2= 67.2*2 + x*2

therefore x is 46.8m

note that line NP is equal to line AB therefore line AB is also 46.8m

so we now look at the smaller triangle to find x

that's also pythagoras theorem

hypotenuse Square = opposite Square + adjacent Square

x^2 = 38.5^2 + 46.8^2

therefore our value for x is 58.6

Answer:

25x^6 y^10

Step-by-step explanation:

Simply: (5xy^3)^2: 25x^2 y^6

25x^2 y^6 (xy)^4

Apply exponent rule: (a * b)^n = a^n b^n

(xy)^4 = x^4 y^4

25x^2 y^6 x^4 y^4

Simply: x^2 x^4: y^10

25x^6 y^6 y^4

Simply: y^6 y^4: y^10

25x^6 y^10

Answer:

B and C

Step-by-step explanation:

4(x+1) + 7(x+3)

4x + 4 + 7x + 21 <-- Choice B

11x + 25 <-- Choice C

The correct statement about f(x) is the asymptote of g(x) is the asymptote of f(x) shifted six units up.

The given functions are;

F(x) = 7x

g(x) = 7x + 6

A parent function is the simplest function that still satisfies the definition of a certain type of function.

We can see that 6 has been added to the function f(x) to get the function g(x).

We know that when we add some constant 'c' in the function then the function gets shifted upward by 'c' units.

Therefore, we will get g(x), when we will shift f(x) upward by 6 units.

Both functions are linear functions hence, the asymptote of g(x) is the asymptote of f(x) shifted six units up.

Hence, the correct statement about f(x) is the asymptote of g(x) is the asymptote of f(x) shifted six units up.

To know more about the parent function click the link given below.

https://brainly.com/question/18599661

Answer:

d The asymptote of g(x) is the asymptote of f(x) shifted six units up.

Step-by-step explanation:

Answer:

Ginger still has 40 percent of her book to read. If she has read 180 pages, the number of pages she still have to read:

N = 180 x (100 - 40)/40 = 270 pages

60%

Step-by-step explanation: