Susan graphed a system of equations for the lines y = 3x + 1 and y = 3x - 10. Which statement is true about Susan's lines?
The lines intersect once at a right angle because they are perpendicular.
The lines intersect at all points because they are the same line.
The lines intersect three times because each has a slope of three.
The lines do not intersect because they are parallel and have different y-intercepts.

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, no diagram is attached, but I would show how to solve it.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

If a point A(x, y) is reflected across the x axis, the new point is at A'(x, -y).

If a point A(x, y) is reflected across the y axis, the new point is at A'(-x, y).

If a point A(x, y) is translated a units up and b units right, the new point is at A'(x + a, y + b).

If a point A(x, y) is translated a units down and b units left, the new point is at A'(x - a, y - b).

Answer:

838 ÷ 17 = 49.29 feet each

Step-by-step explanation:

divide the total rope by number of hikers equals amount of rope each hiker will receive.

Answer:

x = -2

Step-by-step explanation:

hope that helps :)

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

-18x

Step-by-step explanation:

First step: remove the parentheses.

So, you'll have -3x*6.

multiply the numbers (3 x 6 = 18)

and you'll get -18x.

hope this helps!

Answer:

1,500 millimeters

Step-by-step explanation:

1 litre = 1000 millilitre.

Try 1,500.

Step-by-step explanation:

I'm guessing this is competing the perfect square

so it's 56

Answer:

Step-by-step explanation:

4x² + 28x + 49

4x² + 14x + 14x + 49

2x(2x) + 2x(7) + 7(2x) + 7(7)

2x(2x + 7) + 7(2x + 7)

(2x + 7)(2x + 7)

(2x + 7)²

= 28

9514 1404 393

Answer:

  (0.75, -1)

Step-by-step explanation:

The center of the circle is at the midpoint of any diameter segment. The midpoint formula can be used.

  C = (A +B)/2

  C = ((-1, 1) +(2.5, -3))/2 . . . . fill in A and B

  C = (-1+2.5, 1-3)/2 . . . . . . .  add the coordinates

  C = (1.5, -2)/2 . . . . . . finish the addition; next, divide by 2

  C = (0.75, -1) . . . . . . the center of the circle

Answer:

[tex]F(x) = f \circ g[/tex]

[tex]f(x) = x + 2[/tex] and [tex]g(x) = x[/tex]

Step-by-step explanation:

Given

[tex]F(x) = x + 2[/tex]

Required

Express as

[tex]F(x) = f \circ g(x)[/tex]

In functions:

[tex]f \circ\ g(x) = f(g(x))[/tex]

So, we have:

[tex]f(g(x)) = x + 2[/tex]

g(x) can be set to x and f(x) to x + 2

Hence:

[tex]F(x) = f \circ g[/tex]

When: [tex]f(x) = x + 2[/tex] and [tex]g(x) = x[/tex]

Answer:

16.

Step-by-step explanation:

What does 75% Off mean? It means 75% of the price is subtracted. So find 75% of 64.

Here is our equation: 75/100 x 64 = 48.

So 48 dollars is going to be subtracted from 64, which gives us 64-48=16.

So the price of the wedding cake during the sale is 16.

Answer:Suppose that the equations are:

The number of people increases exponentially as the temperature increases, so we can write this as a simple exponential relation.

N(T) = a0*r^(T)

Also, the number of people that leaves the park as the temperature increases are:

M(T) = a*T + b

So the combination of these equations can say the number of people that are arriving to the park minus the number of people that are leaving, this would be:

N(T) - M(T) = total change in the park population as the temperature changes = C(T)

C(T) = a0*r^(T) - a*T - b

Step-by-step explanation:

Answer:

x ≤ -8

Step-by-step explanation:

8x-8  ≤ -72

   +8     +8

8x ≤ -64

divide by 8

8x/8 ≤ -64/8

x ≤ -8

Answer:

The vertices of the quadrilateral after a dilation with scale factor [tex]\frac{2}{3}[/tex] are [tex]J'(x,y) = (0,0)[/tex], [tex]K'(x,y) = (0,4)[/tex], [tex]L'(x,y) = (6, 8)[/tex] and [tex]M'(x,y) = (8,0)[/tex].

Step-by-step explanation:

Let suppose that center of dilation is located at origin, that is [tex]O(x,y) = (0,0)[/tex]. Vectorially speaking, dilation is described by following expression:

[tex]D'(x,y) = O(x,y) + r\cdot [D(x,y)-O(x,y)][/tex] (1)

Where:

[tex]O(x,y)[/tex] - Center of dilation.

[tex]D(x,y)[/tex] - Original point.

[tex]D'(x,y)[/tex] - Dilated point.

[tex]r[/tex] - Dilation factor.

If we know that [tex]O(x,y) = (0,0)[/tex], [tex]r = \frac{2}{3}[/tex], [tex]J(x,y) = (0,0)[/tex], [tex]K(x,y) = (0,6)[/tex], [tex]L(x,y) = (9,12)[/tex] and [tex]M(x,y) = (12,0)[/tex], then the dilated points are, respectively:

[tex]J'(x,y) = O(x,y) + r\cdot [J(x,y)-O(x,y)][/tex]

[tex]J'(x,y) = (0,0) +\frac{2}{3}\cdot [(0,0)-(0,0)][/tex]

[tex]J'(x,y) = (0,0)[/tex]

[tex]K'(x,y) = O(x,y) + r\cdot [K(x,y)-O(x,y)][/tex]

[tex]K'(x,y) = (0,0)+\frac{2}{3}\cdot [(0,6)-(0,0)][/tex]

[tex]K'(x,y) = (0,4)[/tex]

[tex]L'(x,y) = O(x,y) +r\cdot [L(x,y)-O(x,y)][/tex]

[tex]L'(x,y) = (0,0) + \frac{2}{3}\cdot [(9,12)-(0,0)][/tex]

[tex]L'(x,y) = (6, 8)[/tex]

[tex]M'(x,y) = O(x,y) +r\cdot [M(x,y)-O(x,y)][/tex]

[tex]M'(x,y) = (0,0) +\frac{2}{3}\cdot [(12,0)-(0,0)][/tex]

[tex]M'(x,y) = (8,0)[/tex]

The vertices of the quadrilateral after a dilation with scale factor [tex]\frac{2}{3}[/tex] are [tex]J'(x,y) = (0,0)[/tex], [tex]K'(x,y) = (0,4)[/tex], [tex]L'(x,y) = (6, 8)[/tex] and [tex]M'(x,y) = (8,0)[/tex].

  Option B will be the correct option.

        (a, b) → (ka, kb)

Following the rule for dilation,

If a quadrilateral J(0, 0), K(0, 6), L(9, 12) and M(12, 0) is dilated by a scale factor [tex]\frac{2}{3}[/tex], coordinates of the image points will be,

[tex]J(0,0)\rightarrow J'(0, 0)[/tex]

[tex]K(0,4)\rightarrow K'(0, 4)[/tex]

[tex]L(9,12)\rightarrow L'(6,8)[/tex]

[tex]M(12,0)\rightarrow M'(8,0)[/tex]

     Therefore, Option B will be the correct option.

Learn more about the rule of dilation here,

https://brainly.com/question/22151723?referrer=searchResults

Answer:

1) 5 2)7 3)18 4) 14

Step-by-step explanation:

Answer:

24, 26, 28

Step-by-step explanation:

The final number is 78

first we can divide 78/3= 26

so 26+26+26= 78

we can leave the middle 26 but we can give 2 from the first number to the last number

24+26+28=78

(This might be wrong but i tried my best)

i think part a is: yes because both triangles are right angles. it would be postulate SAS

not sure for part b

Answer:

There are no solutions. This question is impossible.

Step-by-step explanation:

The amount of money that will go to the school is $ 3816.00

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The sale price of set of pens = $ 5.25

The cost price of set of pens = $ 1.80

The profit of pens = sale price of set of pens - cost price of set of pens

                              = $ 5.25 - $ 1.80

                              = $ 3.45

Now , the equation will be

Forty percentage of profit = ( 40 / 100 ) x $ 3.45

                                           = $ 1.38

The amount that will go to the school =
Forty percentage of profit + cost price of set of pens

The amount that will go to the school for 1 set of pen = $ 1.38 + $ 1.80

                                                                                        = $ 3.18

The equation will be ,

Now , the total number of sets of pens sold = 1200

And , the total cost price of 1200 sets of pens =
cost price of set of pens x 1200

The total cost price of 1200 sets of pens = $ 1.80 x 1200

                                                                   = $ 2160

The total profit of 1200 sets of pens = Forty percentage of profit x 1200

                                                            = $ 1.38 x 1200

                                                            = $ 1656

Therefore , the amount that will go to the school for 1200 sets of pens =
total cost price of 1200 sets of pens + total profit of 1200 sets of pens

The amount that will go to the school for 1200 sets of pens
= $ 2160 + $ 1656

The amount that will go to the school for 1200 sets of pens  = $ 3816

Therefore ,

The amount that will go to the school = $ 3816.00

Hence , The amount of money that will go to the school is $ 3816.00

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ5

Answer:

24/30

Step-by-step explanation:

Hi!

So we have to make a system of equations here.

Let sibling 1 be O and sibling 2 be Y (for older and younger)

So:

O + Y = 64

O = 64 - Y

(Either one works)

The older sibling is 6 years older.

O = Y + 6

Make everything in terms of Y.

64 - Y = Y + 6

Same to both:

58 = 2y

2y = 58

Divide by 2 on both sides:

y = 29

Since the older sibling is 6 years older:

29 + 6 = 35

Y = 29

O = 35

Let me know if you have any questions.

Answer:

Espero que isto ajude!

Step-by-step explanation:

q  duplica  logo a razão q =2

1 hora = 60 minutos

4 hs *  60 min = 240 minutos ou 240 : 6    = 40  vezes   6 minutos

Nota >  240 minutos tem 40 * 6 minutos

n = 40

a1 = 6 min  = 3

a2 = 12 min = 3 * 2 = 6

q3 = 18 min  =  6  *2  =12

an = a1 * q^n-1

a40  = 3 * 2^40-1

a40 = 3 * 2^39

a40  = 3 * 5497559  =16492677 >>>>>

Answer:

$40.55

Step-by-step explanation:

Answer:

[tex]p=117[/tex]

Step-by-step explanation:

Given number is [tex]p[/tex].

Two-third of the number = [tex]\frac{2}{3}p[/tex]

One-third of the number = [tex]\frac{p}{3}[/tex]

The sum of a certain quantity [tex]p[/tex] together with two-third of that number, and one-third of that number, becomes 234.

[tex]p+\frac{2}{3}p+\frac{p}{3}=234\\\\\frac{3p+2p+p}{3}=234\\\\\frac{6p}{3} =234\\\\2p=234\\p=117[/tex]

Answer:

1152 tons of grains

Step-by-step explanation:

We are told in the above question:

Total number of grains = 1440 tons of grain

On the second day 80 percent of the amount of the amount of the grain delivered during the first day where brought in.

Hence,

The number of grains brought in during the first day = 80% × 1440 tons

= 80/100 × 1440 tons

= 1152 tons of grains

Answer:

imma say 10/4

Step-by-step explanation:sorry if wrong

Answer: 5 feet 2 yards

Step-by-step explanation: Just divide both of the numbers by a number that both of them can go through

Answer:

The answer is 4ac+bc u have to multiply

Step-by-step explanation:

2527 is the first line so 5 in the box

then 47 so a 4 in that box

top answer row

315 E7 so a 5 in that box.