Jenny cut her pizza into 8 equal slices and ate some of them. Billy cut his
pizza into less than 8 equal slices, but ate the same amount of pizza as
Jenny. Use the circles below to show or explain in words how many slices
Jenny and Billy could have eaten. (2 pts)

Answer:

Step-by-step explanation:

Given the expression

-x^2 + x + 3 x - 3

Factorize

(-x^2 + x) + (3 x - 3)

-x(x-1)+3(x-1)

= (x-1)(-x+3)

Hence one of the quotient is -x+3

Answer:

4x-5y=-10

Step-by-step explanation:

The standard form of a linear equation is Ax+By=CAx+By=C.

Multiply both sides by 55.

5y=5(45x+2)5y=5(45x+2)

Simplify 5(45x+2)5(45x+2).

Tap for more steps...

5y=4x+105y=4x+10

Rewrite the equation with the sides flipped.

4x+10=5y4x+10=5y

Move all terms containing variables to the left side of the equation.

4x−5y+10=04x-5y+10=0

Subtract 1010 from both sides of the equation.

4x−5y=−104x-5y=-10

Answer:

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

ok

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(4, 3)

m = [tex]\frac{3-6}{4-4}[/tex] = [tex]\frac{-3}{0}[/tex]

Division by zero is undefined thus the slope of CD is undefined

Answer:

x = 3

y = 7

Step-by-step explanation:

y=3x-2

y=4x-5

then 3x-2 = 4x-5

reduce

x = 3

y = 7

Answer:

SOLVE FOR Y

y=

2

x+5

​

SOLVE FOR X

x=2y−5

Step-by-step explanation:

Given:

The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).

We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Two diagonals of ABCD are AC and BD.

Midpoint of AC = Midpoint of BD

[tex]\left(\dfrac{-3+2}{2},\dfrac{8-5}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)[/tex]

[tex]\left(\dfrac{-1}{2},\dfrac{3}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{4+a}{2}=\dfrac{-1}{2}[/tex]

[tex]4+a=-1[/tex]

[tex]a=-1-4[/tex]

[tex]a=-5[/tex]

And,

[tex]\dfrac{5+b}{2}=\dfrac{3}{2}[/tex]

[tex]5+b=3[/tex]

[tex]b=3-5[/tex]

[tex]b=-2[/tex]

Therefore, the coordinates of fourth vertex are (-5,-2).

Answer:

50°

Step-by-step explanation:

65+65+<z = 180

130+ <z = 180

<z = 50°

Answer:

y=x+1

Step-by-step explanation:

First find the slope by subtracting the y values from both points and dividing it by the subtraction of the x values from both points:

-4--2/ -3--1= -2/-2= 1

so the slope is 1

Now find the y-intercept by plugging in the x and y from one of the points into the equation y=x+b

-3=-4+b

1=b

now plug the slope and y intercept in:

y=x+1

hope this helps :D

Answer:

n+p=4.50

n=2p

2p+p=4.5

2p=4.5

p=$1.5

n=$3

Step-by-step explanation:

Answer:

Pencil: $1.50

Notebook: $3

Step-by-step explanation:

n = cost of notebook

p = cost of pencil

n + p = 4.5

n = 2p

substitute n into the first equation

2p + p = 4.5

3p = 4.5

p = 1.5

n = 2p

n = 2(1.5)

n = 3

Step-by-step explanation:

a) x=0, y=6

x=1, y=4

x=2 , y=2

x=3, y=0

x=4, y= -2

y= 6-2x

b) look at the attachment.

c)

6-2x=3

-2x=-3

x=3/2

Answer:369

Step-by-step explanation:

Answer:

(9/2, 7/2)

Step-by-step explanation:

The easiest way to remember how to do this problem is to average the x-coordinates and average the y-coordinates.

So, in your problem (-3 + 12)/2 = 9/2   and  (-5 + 12)/2 = 7/2

The midpoint is (9/2, 7/2)

Answer:

7Q ^12

Step-by-step explanation:

Porque se se suman la cuestione y porque solo me estás pagando con cinco puntos

Answer:

Do you need the fourmulas?

Step-by-step explanation:

Answer: no solution

Step-by-step explanation: after simplifying they are parallel which means they have no solutions

Answer:

x = 7

Step-by-step explanation:

All sides are equal therefore its 7

Hope this helps!! ♥︎

x = 7

7 because the measurement of all side are congruent

Answer:

334

Step-by-step explanation:

[tex]\color{plum}\tt\bold{(a) \: 250}[/tex]

Money Jefferson needs to collect = $500

Selling price of each baked good = $2

Cost price of each baked good = 0.50

Number of baked goods Jefferson need to sell to meet his goal :

[tex] =\tt \frac{500}{2} \times 0.50[/tex]

[tex] =\tt 250 \times 0.50[/tex]

[tex]\color{plum} =\tt 125 \: baked \: goods[/tex]

Thus, Jefferson needs to sell 125 baked goods.

▪︎Therefore, the correct option is (a) 125.

Answer:

it will option A. Altitude hope it helps

The segment AD in the given triangle describes as Altitude.

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

Given is a triangle ABC.

Altitude of a triangle is defined as the perpendicular segment drawn from a vertex to the opposite side.

Angle bisector is the line segment drawn from a vertex to the opposite side which bisects the angle at that vertex.

Perpendicular bisector is the perpendicular line segment drawn from a vertex to the opposite side which divides the opposite side to two halves.

Median is the line segment joining the vertex with the mid point of the other side.

Here, it is only given that the drawn line is perpendicular. It does not bisect side or angles.

So it is altitude.

Hence the given segment is altitude.

Learn more about Altitudes of Triangles here :

https://brainly.com/question/2272632

#SPJ7

Answer:

See Below.

Step-by-step explanation:

The sum of an A.P. is given by:

[tex]\displaystyle S_n=\frac{n}{2}(a+x_n)[/tex]

Where n is the number of terms, a is the initial term, and xₙ is the last term.

Therefore:

[tex]\displaystyle S_{30}=\frac{30}{2}\Big(a+x_{30}\Big)=15(a+x_{30})[/tex]

And likewise:

[tex]\displaystyle S_{20}=\frac{20}{2}\Big(a+x_{20}\Big)=10(a+x_{20})\\\\ S_{10}=\frac{10}{2}\Big(a+x_{10}\Big)=5(a+x_{10})[/tex]

Substitute:

[tex]15(a + x_{30}) = 3(10 (a + x_{20}) - 5(a + x_{10} ))[/tex]

Distribute:

[tex]15a+15x_{30}=30a+30x_{20}-15a-15x_{10}[/tex]

Simplify:

[tex]15x_{30}=30x_{20}-15x_{10}[/tex]

Simplify:

[tex]x_{30}=2x_{20}-x_{10}[/tex]

The nth term for an A.P. is:

[tex]x_n=a+d(n-1)[/tex]

Where a is the initial term and d is the common difference.

So, it follows that:

[tex]x_{30}=a+d(30-1)=29d+a\\ x_{20}=a+d(20-1)=19d+a\\ x_{10}=a+d(10-1)=9d+a[/tex]

Therefore:

[tex]29d+a=2(19d+a)-9d-a[/tex]

Which follows that:

[tex]29d+a=38d+2a-9d-a\\ \\ 29d=29d \\\\ d\stackrel{\checkmark}{=}d[/tex]

QED.

Answer:

The answers should be

x^2 + 8x + 7

x(x + 8) +7

Step-by-step explanation:

(x + 7)(x + 1)

x(x) + x(1) + 7(x) + 7(1)

x^2 + x + 7x + 7

x^2 + 8x + 7

Answer:

C d

Step-by-step explanation:

Answer:

(AB) has the same slope as (AC) is the wrong statement...........

I hope this helps you

Answer:71

Step-by-step explanation:1775/25

Answer:

71 bags

Step-by-step explanation:

Each bag: 20 pennies

Pennies count: 1775

Final Answer: 71 bags

Explain:

1775 / 25 = 71

Answer:

[tex] - 2[/tex]

Step-by-step explanation:

2^2×2^3(x+1)=2^2x

same base cancel,you will get

2+3x+3=2x

take same variable then - or + you will get

[tex]x = - 2[/tex]

Answer:

x=-5

Step-by-step explanation:

Answer:

x = 1/4

Step-by-step explanation:

Calculations:

[tex]7(x-3)+3(4-x)=-8[/tex]

[tex]7x-21+12-3x=-8[/tex]

[tex]4x-9=-8[/tex]

[tex]4x=1[/tex]

[tex]x=\frac{1}{4}[/tex]

Answer:

$25

Step-by-step explanation:

Answer:

x²+y²=25

Step-by-step explanation:

(x-h)²+(y-k)²=r²

(x-0)²+(y-0)²=5

x²+y²=25

Answer:

-3.6 degrees

Step-by-step explanation:

Since we need to find the temperature that is 3 miles above ground we first need to multiply the distance above ground by the decrease in temperature per mile.

3 * 5.2 = 15.6

Now that we have the total decrease in temperature at that altitude we subtract it from the temperature at ground level. This gives us the final temperature at 3 miles above the ground.

12 - 15.6 = -3.6

Finally, we can see that the temperature is -3.6 degrees

Answer:

[tex]p = 25(3)^n[/tex]

Step-by-step explanation:

Given

Round 0 1 2 3

Points 25 75 225 675

Required

Determine the equation

Let n = rounds and p = points.

So, we have:

[tex](n_1,p_1) = (0,25)[/tex]

[tex](n_2,p_2) = (1,75)[/tex]

[tex](n_2,p_2) = (3,225)[/tex]

The above shows a geometric progression.

So, we solve using

[tex]p = ab^n[/tex]

In [tex](n_1,p_1) = (0,25)[/tex]

n = 0 and p = 25

Substitute these values in [tex]p = ab^n[/tex]

[tex]25 = ab^0[/tex]

[tex]25 = a*1[/tex]

[tex]25 = a[/tex]

[tex]a = 25[/tex]

In [tex](n_2,p_2) = (1,75)[/tex]

n = 1 and p = 75

Substitute these values in [tex]p = ab^n[/tex]

[tex]75 = ab^1[/tex]

[tex]75 = ab[/tex]

Substitute 25 for a

[tex]75 = 25*b[/tex]

Make b the subject

[tex]b = \frac{75}{25}[/tex]

[tex]b = 3[/tex]

So, we have:

[tex]a = 25[/tex] and [tex]b = 3[/tex]

The equation [tex]p = ab^n[/tex] becomes

[tex]p = 25(3)^n[/tex]

     Equation representing the number of points 'P' in 'n' games will be [tex]P=25(3)^{n}[/tex].

       There is a common ratio of 'r' in each successive term to the

       previous term.

       Therefore, it's a geometric sequence.

       [tex]T_n=ar^{n-1}[/tex] (For n ≥ 1)

       Here, [tex]a=[/tex] First term

       [tex]r=[/tex] Common ratio

       [tex]n=[/tex] nth term

Given in the table,

        [tex]r=\frac{75}{25}=3[/tex]

Explicit formula of the sequence will be,

[tex]P=25(3)^{n}[/tex] [For n ≥ 0]

       Therefore, equation representing the number of points 'P' in 'n' games will be [tex]P=25(3)^{n}[/tex].

Learn more about the geometric sequence here,

https://brainly.com/question/11385300?referrer=searchResults

Answer:

4 th quadrant

Step-by-step explanation:

olz make me brainliest