v2+4v-21=0 (solve by factoring)​

Answers

Answer 1

Answer: (v + 7)(v -3)

Step-by-step explanation:

(v +7)(v -3)

v x v = v^2

v x -3 = -3v

7 x v = 7v

7 x -3 = -21

v^2 -3v +7v -21 = v^2 +4v -21 = 0

Answer 2

Answer:

The answer is (v - 3)(v + 7).

Step-by-step explanation:

First, you have to elaborate it :

v² + 4v - 21 = 0

v² - 3v + 7v - 21 = 0

Next, you have to collect like terms :

v(v - 3) + 7(v - 3) = 0

(v - 3)(v + 7) = 0


Related Questions

Calculate the frequency of light that has a wavelength of
4.25 x 10^-9m and a velocity of 300 m/s.

Answers

Answer:

The velocity of light, v, is the product of its wavelength, λ , and its frequency, f. This means that the wavelength is the velocity, v, divided by the frequency, f.

Wavelength of light = velocity of light / frequency of light

λ = v/f

λ = Wavelength of light, meters

v = Velocity of light (c = 3.0 x 108 m, for speed of light if not otherwise defined)

f = frequency of light, Hz

Step-by-step explanation:

Andy found these used car prices in the newspaper

Answers

Answer:

Good for him also there is no question

Step-by-step explanation:

Answer: whats the car prices that was in the news paper

Step-by-step explanation:

The vertices of an ellipse are (0,-1) and (8,-1). The endpoints of the minor axis are (4,1) and (4,-3). Write the equation of the ellipse in general form

Answers

Answer:

x^2+4y^2-8x+8y+4=0

Step-by-step explanation:

The general form of the given ellipse is x² +4y² - 8x + 8y + 4 = 0.

What is an ellipse?

An ellipse can be defined as a shape that looks like an oval circle.

The equation of an ellipse is

[tex]\dfrac{\left(x - h\right)^{2}}{a^{2}} + \dfrac{\left(y - k\right)^{2}}{b^{2}} = 1[/tex]

Where (h, k) is the center a and b are the lengths of the semi-major and the semi-minor axes.

The vertices of an ellipse are (0,-1) and (8,-1).

The endpoints of the minor axis are (4,1) and (4,-3).

The following equations take into account the different properties of an ellipse:

[tex]k = -1k=−1, h^{2} = a^{2}h 2 =a 2 , \left(h - 8\right)^{2} = a^{2}[/tex]

[tex]\begin{cases} b = 2 \\ k = -1 \\ h^{2} = a^{2} \\ \left(h - 8\right)^{2} = a^{2} \end{cases}[/tex]

We get that h = 4 k = -1, a = 4, and  b = 2

The standard form of the given ellipse is

[tex]\dfrac{\left(x - 4\right)^{2}}{4^{2}} + \dfrac{\left(y + 1\right)^{2}}{2^{2}} = 1[/tex]

So the general form will be as : x² +4y² - 8x + 8y + 4 = 0.

Thus, the general form of the given ellipse is x² +4y² - 8x + 8y + 4 = 0.

Learn more about ellipses here:

brainly.com/question/9448628

#SPJ2

In the diagram mz3= x+ 30 and mz4 =2x-80. What is the measure of angle 3?

Answers

Given:

Consider the below figure attached with this question.

[tex]m\angle 3=(x+30)^\circ[/tex] and [tex]m\angle 4=(2x-80)^\circ[/tex].

To find:

The measure of angle 3.

Solution:

From the below figure it is clear that, angle 3 and angle 4 are vertically opposite angles.

We know that, vertically opposite angles are always equal. So,

[tex]m\angle 3=m\angle 4[/tex]

[tex](x+30)^\circ=(2x-80)^\circ[/tex]

[tex]x+30=2x-80[/tex]

[tex]x-2x=-30-80[/tex]

[tex]-x=-110[/tex]

[tex]x=110[/tex]

Now,

[tex]m\angle 3=(110+30)^\circ[/tex]

[tex]m\angle 3=140^\circ[/tex]

Therefore, the measure of angle 3 is 140 degrees.

1/2/2/3

Which question can be answered by this expression?


Answers

Answer:

1/2 / 2/3

(1*3) / (2*2)

3/4

Two-thirds of a half equals three-quarters

Answer:

no question

Step-by-step explanation:

it cant thats not an answet

the math team has 11 boys 10 girls and 1 coach. What is the ratio of coach to students?

Answers

1:21 I believe, sorry if wrong
11+10=21 students so 21:1

Please, i need help on how to solve problems like these. I dont understand and i wasnt in class when they taught it to us. PLzzzz.Will make it the brainiest if its corrected and explaining how to solve problems like these.

Answers

Answer:

x = 20

Step-by-step explanation:

You can use Pythagorean theorem which is [tex]a^2 + b^2 = c^2[/tex]

a = 12

b = 16

and c would be x.

12^2 + 16^2 = c^2

144 + 256 = c^2

400 = c^2

square root

c = 20 or x = 20

Solve 4x + 8y = 16 for x.
O A. x=-8y + 4
O B. x= -2y+ 16
O C. x= -2y+ 4
D. X = 8y + 16

Answers

I got x = 4-2y

4x+8y=16
-8y=-8y

4x=16-8y
— ——-
4 4

x=4-2y
C) X = -2y + 4

4x + 8y = 16

4x = 16 - 8y

4x = 4 (4 - 2y)

x = 4( 4 - 2y)/4

X = 4 - 2y

X = -2y + 4

Please HELP!!
Which linear inequality is represented by the graph

Answers

Answer:

The answer should be y ≤ 1/3x - 1 I believe

A gym membership costs $25 to join, plus a $12 monthly fee. If Adam has spent $133 on his gym membership this year, for how many months has he been a member?

Answers

Answer:

HELP ME I GOT THE SAME QUESTION AND I'M DUMB :(

Step-by-step explanation:

A rectangle is located on a coordinate plane. If the ordered pair (t, u) represents a vertex of this rectangle, which algebraic representation describes the effect of translating the rectangle 8 units up and 3 units left?

Answers

Answer: (t,u) -> (t-3, u+8)

Step-by-step explanation: Up is the y value and left is the x value.

In the point ( t,u) t is the x value and u is the y value.

Moving to the left, you subtract the value and moving up you add the value.

The answer would be (t, u) → (-t – 3, u + 8)

Solve the system of equations y = -2x - 9 and -x + 3y = 8 using the substitution method.

Answers

Answer: (-5,1)

Step-by-step explanation: Explanation in picture.

What is 1+2+3+4+5+6+7+8+9+10=?



have a great day!! :)

Answers

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55

Answer:

55

Step-by-step explanation:

9 + 1 = 10

8 + 2 = 10

7 + 3 = 10

6 + 4 = 10

5 + 10 = 15

10 + 10 + 10 + 10 + 15 = 55

Carmen is admiring a statue in Weston Park from 14 feet away. If the distance between the
top of the statue to Carmen's head is 50 feet, how much taller is the statue than Carmen?
feet
Submit
Work it out
Not feeling ready yet? These can help:

Answers

Answer:  36?

It's too short. Write at least 20 characters to explain it well.



Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.

Answers

Given:

A figure.

To find:

The values of x and y.

Solution:

We know that, in a right angled triangle,

[tex]\sin \theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\sin 60^\circ =\dfrac{x}{16}[/tex]

[tex]\dfrac{\sqrt{3}}{2} =\dfrac{x}{16}[/tex]

Multiply both sides by 16.

[tex]\dfrac{\sqrt{3}}{2}\times 16=\dfrac{x}{16}\times 16[/tex]

[tex]8\sqrt{3}=x[/tex]

And,

[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]

[tex]\cos 60^\circ =\dfrac{y}{16}[/tex]

[tex]\dfrac{1}{2}=\dfrac{y}{16}[/tex]

Multiply both sides by 16.

[tex]\dfrac{16}{2}=y[/tex]

[tex]8=y[/tex]

Therefore, the missing side lengths are [tex]x=8\sqrt{3}[/tex] and [tex]y=8[/tex].

A 2-column table with 4 rows. Column 1 is labeled Store with entries A, B, C, D. Column 2 is labeled Advertised Bread Prices with entries 3 loaves for 5 dollars and 94 cents, 4 loaves for 7 dollars and 80 cents, 5 loaves for 10 dollars and 5 cents, 6 loaves for 12 dollars and 12 cents.

Camillo is making gourmet peanut butter and jelly sandwiches for a food challenge.

PLS HELP ASAP!!What is the unit price of a loaf of bread at each store?

Store A:

Store B:

Store C:

Store D:

Answers

Answer:

Store A:  

✔ $1.98 per loaf

Store B:  

✔ $1.95 per loaf

Store C:  

✔ $2.01 per loaf

Store D:  

✔ $2.02 per loaf

Step-by-step explanation:

determine the value of x , (5)(x)=0

Answers

Answer:

x=0

Step-by-step explanation:

The parenthesis mean that it's multiplication, so it might be easier to convert that to: 5 · x = 0. We then know that anything times zero equals zero, so 5 · 0 = 0! I hope this helps! :)

Please help i will mark braniliest and 30 points

If you solve the inequalty 2x < 14, the solution set is x < 7. Graph x < 7 on a number line. Which one of the listed values of x is included in x < 7


A) x=8
B) x = 7
C) x = 12
D) x= -8

Answers

Answer:

D) x = -8

Step-by-step explanation:

All the values less than 7 are included in the number line. The graph on number line is shown in figure attached. In the options given, all values in Option A, B and C are greater than 7 so these cannot be included.

What's the answer to this?

Answers

Answer:

3 the answer is 3

Step-by-step explanation:

true of false? the slope of thia equation is zero
y=x+5

Answers

Answer:

false

Step-by-step explanation:

no solution

I did it on a graph and I think its true?

Coach Burns charted the change in his runners’ 5K times from the first race of the year to the second race of the year. Which student improved the most by decreasing the time needed to run the race? PLEASE HELP IM ON A EXAM!!!

Answers

Answer:

student a

Step-by-step explanation:

i just took the exam

Which triangle is congruent to triangle ABC?

Answers

EFG

hope that helps :)

helppp this is due at 1:20

Answers

Answer:

Total Bill: $138

Step-by-step explanation:

115 * 1.20 = 138

Answer:

138

Step-by-step explanation:

115 × 20% = 23

115 + 23 = 138

Answer is 138

BRAINLIEST

A bookstore costs $96 a day to keep open, and it spends $12 for each book that it sells. If each book sells for $18, what is the break-even point
for this bookstore?

Answers

Answer: The break even point is when they have sold 16 books and have made $288

Step-by-step explanation:  The costs are modeled in the equation y = 12x + 96.  x is the number of books sold.

The earnings are modeled by he equation y = 18x.

Substitute 18x for y and solve for x.

18x = 12x + 96  Subtract 12x from both sides.

6x = 96 Divide both sides by 6

x = 16

Substitute into the original equations to solve  for y

y = 12(16) + 96

y = 192 + 96

Y = 288

y = 18(16)

y = 288

Answer:

C = 12n + 90

Step-by-step explanation:

Write the equation in slope- intercept form

4x+2y=12

Thanks!

Answers

Answer:y = -2x + 6Hope this helps!!

Samia y su hija fueron a una obra de teatro musical, ella pago $90 por su boleto y $45 por el de su hija. Ese dia el cajerovendio 100 boletos y cuenta con $8190, pero necesita saber cuantos adultos y menores de edad entraron al evento?

Answers

Answer:

Al evento entraron 82 adultos y 18 menores de edad.

Step-by-step explanation:

De acuerdo a la información proporcionada, puedes plantear las siguientes ecuaciones:

x+y=100 (1)

90x+45y=8190 (2), donde:

x es el número de adultos

y es el número de menores de edad

Puedes despejar x en (1):

x=100-y (3)

Después, puedes reemplazar (3) en (2):

90(100-y)+45y=8190

9000-90y+45y=8190

9000-8190=90y-45y

810=45y

y=810/45

y=18

Ahora, puedes reemplazar el valor de y en (3) para encontrar x:

x=100-y

x=100-18

x=82

De acuerdo a esto, la respuesta es que al evento entraron 82 adultos y 18 menores de edad.

CORRECT ANSWER GETS BRAINLIEST

What percentage of the block is shaded in?

Answers

Answer:

7/10ths

Step-by-step explanation:

There are ten blocks all together, which is where the 10 comes from, there is 7 shaded that is where the 7 comes from.

Answer:

The percentage is 70%.

Step-by-step explanation:

There are 10 spaces total, and 7 are shaded in. 7 divided by 10 is 0.7.

0.7 as a percentage is 70%.

So 70% of the block is shaded in.

A bus makes a stop at 2:30, letting off 11 people and letting on 5. The bus makes another stop ten minutes later to let off 3 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?

Answers

Answer:

Answer down below Branliest Please

Step-by-step explanation:

Two vertical angles have measures of (4x + 8) and (7x -22). What is the measure of the two angles?

Answers

Answer:

48

Step-by-step explanation:

Vertical angles are congruent

7x - 22 = 4x + 8     {Add 22 to both sides}

         7x = 4x + 8 + 22

        7x = 4x + 30         { subtract 4x from both sides}

7x - 4x = 30

         3x = 30

           x = 30/3

x = 10

4x + 8 = 4*10 + 8

          = 40 + 8

          = 48

7x - 22 = 7*10 - 22

            = 70 - 22

            = 48


What is the slope of the line

Answers

Answer:

-3/1 or -3

Step-by-step explanation:

you have to go down three from where the line crosses at a point then move over one to get to the next crossing point and that's the answer

Answer:

-3/1

Step-by-step explanation:

i think thats the answer

Other Questions
Calculate the frequency of light that has a wavelength of 4.25 x 10^-9m and a velocity of 300 m/s. Examples of Elastic What is the conclusion that Morgan concluded from hisexperiment using the fruit flies? What is the comparative form of the adjective lively X Corporation and its two divisions, Domestic and Foreign, appear below:Sales revenues, Domestic $640,000 Variable expenses, Domestic $371,300 Traceable fixed expenses, Domestic $76,500 Sales revenues, Foreign $493,900 Variable expenses, Foreign $281,800 Traceable fixed expenses, Foreign $63,900In addition, X's common fixed expenses totaled $173,300 and were allocated as follows: $90,000 to the Domestic division and $83,300 to the Foreign division.What is the segment margin for the Domestic division?a. $178,700b. $371,300c. $102,200d. $192,200 what did britain do to keep the colonies CORRECT ANSWER GETS BRAINLIESTWhat percentage of the block is shaded in? A bus makes a stop at 2:30, letting off 11 people and letting on 5. The bus makes another stop ten minutes later to let off 3 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop? Although the cost-plus method approach to product pricing may be used by management as a general guidance, when are some examples of other factors that managers should also consider in setting product prices? There are two types of space - ________ and _______ space. Reread lines 47-49, on page 4. What does thisimage describe?The speaker approaches a party that her newneighborhood has organized to meet her family.The speaker's new neighborhood is full ofskyscrapers covered with yellow blossoms.The speaker observes the flowering trees on thesidewalk dropping their blossoms.The speaker's new neighbors greet her with a localcustom that is unfamiliar but kind. the pow doctor can be considered brave because Compare Juans work goal or motivation near the beginning of the story with his goal or motivation near the end. How does the author communicate the way this change occurs? What is the slope of the line An example of a Primary Source is a letter during the time of the Civil War.TrueFalse Write the equation in slope- intercept form4x+2y=12 Thanks! Please HELP!!Which linear inequality is represented by the graph Imagine that you are studying animals that live in intertidal zones, and you have just discovered a new animal. Describe the animal and adaptations the animal has to survive in the intertidal zone. Why is a map considered a model? For which topic would a live demonstration work best in a speech