what is the vertex of x^2

Answer:

__________________________________

➡️x3+y3 = (x+y)(x^2-xy+y^2)

--------------------

R.H.S

(x+y)(x^2-xy+y2)

=>x3-x^2y+xy^2+x^2y-y^2x+y3

NOW after cancelling we get :

=> x3+y3

-------------------

L.H.S

=> x3+y3

L.H.S. = R.H.S

Hence VERIFIED✔✔

_______________________________

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

To determine if the point lies on the line, substitute x = - 3 into the equation and if the value obtained equals - 5 then it lies on the line.

y = 2(- 3) - 1 = - 6 - 1 = - 7 ≠ - 5

Then the point (- 3, - 5 ) is not on the line

Answer:

It's the third one, I hope so. y<1/2x

Step-by-step explanation:

I hope this helps. :)

Answer:

nine $5 bills and twenty-eight $10 bills

Step-by-step explanation:

f = # of five dollar bills

t = # of ten dollar bills

system of equations:

t + f = 37

10t + 5f = 325

solve the first equation for 't' to get:

t = 37-f

substitute '37-f' to 't' in second equation to get:

10(37-f) + 5f = 325

370 - 10f + 5f = 325

-5f = -45

f = 9

t + 9 = 37

t = 28

Answer:

The equations

[tex]x + y = 80[/tex]

[tex]0.25x + 0.1y = 16.25[/tex]

The solution

55 dimes and 25 quarters

Step-by-step explanation:

Given

Let

[tex]x \to[/tex] quarters

[tex]y \to[/tex] dimes

[tex]Total = 80[/tex]

[tex]Worth = \$16.25[/tex]

Required

Set up a system of equation to calculate the number of each coin

The total coin of 80 implies that:

[tex]x + y = Total[/tex]

[tex]x + y = 80[/tex]

A dime = $0.1

A quarter = $0.25

So, the worth of the coin is:

[tex]0.25 * x + 0.1 * y = Worth[/tex]

[tex]0.25x + 0.1y = 16.25[/tex]

So, the equations are:

[tex]x + y = 80[/tex]

[tex]0.25x + 0.1y = 16.25[/tex]

Next, solve for x and y

Multiply the second equation by 4

[tex]0.25x + 0.1y = 16.25[/tex] by 4

[tex]x + 0.4y = 65[/tex]

Subtract from [tex]x + y = 80[/tex]

[tex]x- x + y - 0.4y = 80 - 65[/tex]

[tex]0.6y = 15[/tex]

Solve for y

[tex]y = 25[/tex]

We have:

[tex]x + y = 80[/tex]

[tex]x = 80 - y[/tex]

[tex]x = 80 - 25[/tex]

[tex]x = 55[/tex]

Hence, there are 55 dimes and 25 quarters

Answer:

O 40

Step-by-step explanation:

because if you are doing algebra the term for a number is a letter and instead of doing 4xO you substituted to 4O

Answer:

[tex]V = 518cm^3[/tex]

Step-by-step explanation:

Given

[tex]h = 15cm[/tex]

[tex]R = 6cm[/tex]

[tex]r =5cm[/tex]

Required

The volume of the remaining cylinder

Before the cut-out, the cylinder has a volume (V) of:

[tex]V = \pi R^2h[/tex]

After the cut-out, the cylinder has a volume of:

[tex]V = \pi [R^2 -r^2]h[/tex]

So, we have:

[tex]V = 3.14* [6^2 -5^2]*15[/tex]

[tex]V = 3.14* [36 -25]*15[/tex]

[tex]V = 3.14* 11*15[/tex]

[tex]V = 518cm^3[/tex]

Answer:

[tex](\frac{6}{11} )*(\frac{6}{11} )[/tex] = 36/121 =.297

Step-by-step explanation:

Answer:

36/121

Step-by-step explanation:

We have 5+6 = 11 marbles

P(red) = number of red/ total = 6/11

We replace the marble so we still have 11 marbles

P(red) = number of red/ total = 6/11

P(red, red) = 6/11*6/11 = 36/121

Answer:

x > 0

Step-by-step explanation:

The domain of the graph are all the possible values of x. Since the graph never touches the negative part of the graph, x will always be greater than 0. Thus, x > 0 meaning x will be greater (not equal to) 0.

Answer:

a) 5x - 9 = 3x + 3

5x - 3x = 3 + 9

2x = 12

x = 12 / 2

x = 6

b) x + 6 = 34 - x

x + x = 34 - 6

2x = 28

x = 28 / 2

x = 14

[tex] \: (a)5x - 9 = 3x + 3 \\ 5x - 9 - 3x = 3 \\ 2x - 9 = 3 \\ 2x = 3 + 9 \\ 2x = 12 \\ x = \frac{12}{2} \\ x = 6 \\ (b) \: x + 6 = 34 - x \\ x + 6 + x = 34 \\ 2x + 6 = 34 \\ 2x = 34 - 6 \\ 2x = 28 \\ x = \frac{28}{2} \\ x = 14[/tex]

Answer:

[tex]5x + 2 \\ x = 5 - 2 \\ x = 3 \\ \\ 9y - 3 \\ y = 9 + 3 \\ y = 12[/tex]

Answer:

Iron deficiency, hypoglycemia, and scurvy.

Step-by-step explanation:

Iron deficiency is the lack of iron in the blood, usually caused by blood loss. Because the body doesn't produce iron, people need to consume items with iron to rise up the amount of iron.

Hypoglycemia is the lack of blood sugar (known as glucose), people who are diabetic or drink excessive alcohol can have hypoglycemia.  People would have to consume more glucose or take insulin shots to get the amount back to normal.

Scurvy is caused by the lack of Vitamin C (found in fruits and vegetables) , usually within 3 months.

Answer:

O C. x = 3

Step-by-step explanation:

If a line is parallel to y-axis, the equation of the line is x = constant because it is at a constant distance from y-axis. so for the given question, x = 3 is the equation of the line passing through (3,2).

Answer:

Step-by-step explanation:

VOLUME...

1) π*r^2*h

π*(2.5)^2 *h

(π)*(2.5)^2* 6

= 117.8

2) π*r^2*h + 1/2 *[(4/3) · π · r3]

(π)*(3)^2* 3 + 1/2 *[(4/3) · π · 3^3]

         84.8+ 56.5 = 141.41

3) (1/3) π*r^2*h

(1/3) π*3^2*h

3^2 + h^2 = 36

h = sqrt(27) = 5.1

(1/3) π*3^2*5.1

= 48.06

~~~~~~~~~~~~~~~~~~~~~~~~~~~

Height of 1/2 of glass #2

84.8+ 56.5 = 141.41

thus 1/2 of #2 = 70.5

70.5 - 56.6 = 14 (all of 1/2 sphere filled plus 14 into cylinder)

14/[(π)*(3)^2* 3]= .16 of the cylinder... 3*(0.16) =   .48

total height = 3.48

Answer:

Option D: (0,-5)

Step-by-step explanation:

Comparing the given points to the graph.

So, the point that will lie at the shaded area represent  solution to the linear inequality.

So, point (0,-5) is a solution to the linear inequality.

The answer is option D. (0,-5)

Note: the line y = 6x-4 is graphed using the table on the graph.

Answer:

u r ANS

Step-by-step explanation:

7/3 on number line

Mark above ANS as branliest

Answer:

x=1, y=2

Step-by-step explanation:

x + 7y = 15

x + 2y = 5

Subtract the two equations

x + 7y = 15

-x - 2y =- 5

------------------------

0x +5y = 10

Divide by 5

5y/5 = 10/5

y =2

Now find x

x+2y = 5

x +2(2) = 5

x +4 = 5

Subtract 4 from each side

x-4+4 = 5-4

x = 1

Answer:

Dimensions Of The Driveway is Length=16 Feet & Width=9 Feet

Step-by-step explanation:

According To Question,We Have Given

Length of Driveway Is 7 feet longer than its Width

Let the Width be X Feet . So Length is (X+7)Feet

Area Of Driveway = 144 sq. Feet

X * (X+7) = 144

[tex]X^{2}[/tex]+7X=144

[tex]X^{2}[/tex]+16X-9X-144=0

X(X+16)-9(X+16)=0

X = -16 & +9 (Neglect -16 because Width=X, that Can Never be in Negative)

So X = +9

Now Put this value, We get Width = 9 Feet & Length =16 Feet

Answer:

AB = 8 inches

Step-by-step explanation:

given :

AD = 10 inches

BD = 6 inches

AB = ?

using pythagoras theorem

a^2 + b^2 = c^2

BD^2 + AB^2 = AD^2

6^2 + AB^2 = 10^2

36 + AB^2 = 100

AB^2 = 100 - 36

AB^2 = 64

AB = [tex]\sqrt{64[/tex]

AB = 8

The length of the AB in the given triangle ADC such that A-B-C and DB ⊥ AC  is equal to 8 inches.

In the figure of triangle ADC ,

DB is perpendicular to AC such that A- B- C.

Measure of angle CBD = 90 degrees

This implies,

As angle ABD and CBD are linear pair

⇒ Measure of angle CBD + Measure of ABD = 180°

⇒ 90° + Measure of ABD = 180°

⇒  Measure of ABD = 180° - 90°

⇒  Measure of ABD = 90°

Now triangle ABD is right angle triangle,

AD = 10 inches

BD = 6 inches

By applying Pythagoras theorem we have,

AB² + BD²  = AD²

⇒ AB² = AD² - BD²

⇒ AB² = 10² - 6²

⇒ AB² = 100 -36

⇒ AB² = 64

⇒ AB = √64

⇒ AB = 8 inches

Therefore, the length of the AB is equal to 8 inches.

Learn more about length here

brainly.com/question/2497593

#SPJ2

Answer:

(1,4)

Step-by-step explanation:

Hi there!

We're given the system:

y=3x+1

y=x+3

We need to find the common solution (the point at which the lines intersect); we do this by finding the value of the variables.

Let's start with x

Since both equations equal y, we can make 3x+1 and x+3 equal to each other, because of a property known as transitivity (if a=b and b=c, then a=c)

3x+1=x+3

subtract 1 from both sides

3x=x+2

subtract x from both sides

2x=2

divide both sides by 2

x=1

we found the value of x

now we need to find the value of y

We do this by plugging x as 1 into either one of the equations to solve for y

let's use y=x+3 for example

substitute x as 1

y=1+3

add

y=4

we found the value of y.

Your question asks for the answer to be written as an ordered pair, which will be (1,4)

Hope this helps!

Answer:

(1, 4 )

Step-by-step explanation:

Given the 2 equations

y = 3x + 1 → (1)

y = x + 3 → (2)

Substitute y = 3x + 1 into (2)

3x + 1 = x + 3 ( subtract x from both sides )

2x + 1 = 3 ( subtract 1 from both sides )

2x = 2 ( divide both sides by 2 )

x = 1

Substitute x = 1 into either of the 2 equations and evaluate for y

Substituting into (2)

y = 1 + 3 = 4

solution is (1, 4 )

Answer:

7.22

Step-by-step explanation:

solved in the diagram

Answer:

its the second option

Step-by-step explanation:

Answer:

y = 3x - 4

Step-by-step explanation:

x = 2:

3(2) - 4 = 2

x = 3:

3(3) - 4 = 5

x = 4:

3(4) - 4 = 8

x = 5:

3(5) - 4 = 11

Answer:

15000 cm^2

Step-by-step explanation:

Area is found by multiplying the length and width. 250 cm times 60 cm equals 15000 cm squared.

Step-by-step explanation:

by the given information it seems to be the chalkboard is rectangular so the area of rectangle is = length × breadth..

So, 250cm×60cm

=15,000cm² is the Area

Answer:

10/3

Step-by-step explanation:

remember about right order

Answer:

2:7

Step-by-step explanation:

ratio as a fraction in simplest form. 2 weeks = 14 days, so 4/14 = 2/7.

Answer:

2 : 7

Step-by-step explanation:

7 days = 1 week

y days = 2 weeks

[tex]\frac{1}{7} :\frac{2}{y}[/tex]

1 × y = 2 × 7

y = 14

4 days : 14 days

4 = 2 × 2

14 = 2 × 7

GCF = 2

4 ÷ 2 = 2

14 ÷ 2 = 7

2 : 7

Answer:

Graham gets 3/4 of the money, or £22.50 and Ahir gets 1/4 of it:  £7.5.

Step-by-step explanation:

Add 3 and 1:  3 + 1 = 4.

Then Graham gets 3/4 of the money, or £22.50 and Ahir gets 1/4 of it:  £7.5.

Check:  is the ratio

£22.5

---------- equal to 3:1?  YES

 £7.5

Do  £7.5 and £22.5 sum up to   £30?  YYES

---------- =

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