Uma lousa digital possui uma forma retangular e tem sua largura expressa pelo polinômio b+2. Sendo sua área igual ao polinômio B ao quadrado + 5b+ 6, qual é o polinômio que expressa a altura dessa lousa?

Answers

Answer 1

Answer:

b+3

Step-by-step explanation:

Largura : b+2

Área: b² +5b +6

Sabe-se que a área de um retângulo é dada pela largura multiplicada pela altura.

A partir dos zeros da equação da área é possível encontrar o polinômio da altura:

[tex]b^2 +5b +6\\b=\frac{-5\pm \sqrt{25-4*1*6} }{2} \\b'=-2\\b''=-3[/tex]

Visto que o polinômio da largura é b+2, para que a equação da área seja válida, o polinômio da altura deve ser b+3.

A prova pode ser feita pela multiplicação dos polinômios:

[tex]A = L*H\\A=(b+2)*(b+3)\\A=b^2+5b+6[/tex]


Related Questions

PLEASE HELPP ME FAST!!!!! solve for x. Show your work -1/2x < -12

Answers

Answer:

-1/2x<-12

Multiply through by 2

-x < -24

Multiply through by -1

x > 24

Hope this helps.

A chocolate brownie recipe is as follows 200g chocolate ,4eggs 60g flour, 60g cocoa, 100g butter, 250g sugar trhe recipe make 24 brownies sarah is making 96 brownies for the village faire how much cocoa does she need

Answers

Answer:

240g of cocoa

Step-by-step explanation:

96/24 = 4 times as many brownies, 4 times as many ingredients needed. To find the amount of cocoa, multiply the original amount by four to get 60g × 4 = 240g.

Please help me with my question!!!

Answers

Answer: They can make 18 ornaments

Step-by-step explanation:

you make 4 and 1/2 into the common denominator of 4. So then you get 4 and 2/4 you multiply 4 by 4 to get 16 and then add it to the 2/4 to get 18/4 each takes 1/4 so you have 18(1/4)

An object launched vertically from a point that is 37.5 feet above ground level with an initial velocity of 48.6 feet per second can be represented by the equation h=−16t^2+48.6t+37.5, where h is the height of the object and t is the time after the object is launched. How long does it take the object to hit the ground?

Answers

Answer: 3.675 seconds

Step-by-step explanation:

Hi, when the object hits the ground, h=0:

h=−16t^2+48.6t+37.5

0=−16t^2+48.6t+37.5

We have to apply the quadratic formula:  

For: ax2+ bx + c  

x =[ -b ± √b²-4ac] /2a  

Replacing with the values given:  

a=-16 ; b=48.6; c=37.5

x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)  

x = [ -48.6 ± √ 4,761.96] /-32

x = [ -48.6 ± 69] /-32

Positive:  

x = [ -48.6 + 69] /-32 = -0.6375

Negative:  

x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)

Feel free to ask for more if needed or if you did not understand something.  

The product of Chau's height and 5 is 70.

Answers

Answer: 14

Step-by-step explanation: chau's height = x

x * 5 =70

5x = 70

x = 70/5

x = 14

I need help please :((

Answers

Answer:

Function, passes the vertical line test

Step-by-step explanation:

The graph is a function.  The points have a one to one correspondences as demonstrated by the vertical line test.  Since only one point on the graph  is  touching a vertical line  at a time, it will pass the vertical line test

Purple Taxi has no pick-up fee, but charges $0.25 per mile. ABC Taxi charges $3 for pick-up and $0.15 per mile. Which inequality can be used to find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi?

Answers

gohead ask a teacher or another site

I need the same question to

This is a continuous set of points in the coordinate plane. It can be, but is not always, straight.

Answers

Answer:

Linear. While all linear equations produce straight lines when graphed, not all linear equations produce linear functions. In order to be a linear function, a graph must be both linear (a straight line) and a function (matching each x-value to only one y-value).

Solve 4x -1 = 3x – 5 pls answer

Answers

Answer:

[tex]\fbox{\begin{minipage}{4em}x = -4\end{minipage}}[/tex]

Step-by-step explanation:

Given:

Equation:  [tex]4x - 1 = 3x - 5[/tex]

Solve for:

[tex]x[/tex]

Solution:

Step 1: Select relevant approach:

Let's move all the components containing x to the left side and other components to the right side (notice the change of sign of each one from positive to negative and negative to positive), then solve for [tex]x[/tex]

Step 2: Perform the calculation:

       [tex]4x - 1 = 3x - 5[/tex]

Moving components:

<=>  [tex]4x - 3x = 1 - 5[/tex]

Performing simplification to get [tex]x[/tex]

<=>[tex]x = -4[/tex]

Hope this helps!

:)

The slope of AB is -2/5. Segment CD has endpoints at C(-5,3) and D(10,-3). Are AB and CD parallel, perpendicular or neither? Justify.

Answers

Answer:

Neither

Step-by-step explanation:

When I input segment CD onto a graph, I get -0.4 as the slope or 15/-6. If the lines were parallel, they would need to have the same slope which they do not have. If they were perpendicular, they would need to have different slopes so, -2/5 and 5/2 which they do not. That leaves us with the only option of neither.

Plz sub to Rebel_IOSツ on yt!

Answer:

AB and CD are parallel

Step-by-step explanation:

AB has the slope of -2/5

let's see what slope the line CD has:

points are (-5, 3) and (10, -3)slope= m= (y2-y1)/(x2-x1)= (-3-3)/(10+5)= -6/15= -2/5

as we see AB and CD have same slope, therefore they are parallel

wegnerkolmp2741o plz help me only wegnerkolmp2741o

Answers

Answer:

1. Triangular prism

5 faces6 vertices9 edges

2. Trapezoidal prism

6 faces8 vertices12 edges

3. Pentagonal prism

7 faces10 vertices15 edges

4. Hexagonal prism

8 faces12 vertices18 edges

What is the vertex form of the parabola from daredevil dannys practice jump ?

Answers

Answer:

the vertex form of the parabola from daredevil dannys practice jump is: 47538

Step-by-step explanation:

2+2+3+4+45+65+3=47538 jump in the vertex of the jump but then there's a other always 564*56*75+4=47538

The vertex form of Daredevil Danny’s practice jump is y=-32/100(x-25)2+32

But daredevil danny sucked I got a 100 here is the link to my whole worksheet (cant have a link so its tinyurl . com / Danny - Daredevil)

fyi the link is without spaces

The difference of six times a number and seven results in 35.

Identify the steps necessary to solve the equation.

A.) Subtract 7, and then divide by 6.
B.) Divide by 6, and then subtract 7.
C.) Divide by 6, and then add 7.
D.) Add 7, and then divide by 6.
this is multiple choice

Answers

The difference of six times and seven results in 35.

Difference - subtract

Times - multiply

Result - answer

The subtraction of six multiplied by a number and (subtracting) seven gets you the answer of 35.

6x - 7 = 35

The answer would be...

B. Divide by 6, and then subtract by 7.

Find the volume of the cone

Answers

Answer:

489.84 m3 es la respuesta

40=8y
How do I solve this!?!?!

Answers

you need to find the value of y..

40=8y
40÷8=y
5=y

The value of y is 5

Answer:

y = 5

Step-by-step explanation:

40=8y

this is one step equation so you need to divide both sides by 8 to solve for y

40/8 = y

y = 5

Given right triangle ABC . To the nearest degree, find the measure of angle B. 20° 43° 47° 70°

Answers

Answer:

The answer is "70°"

Step-by-step explanation:

In the given question an attachment file is missing. so, the attachment file and its solution can be defined as follows:  

Given:

ABC is the right triangle.

Find B=?

Solution:

[tex]\Rightarrow \sin \theta= \frac{p}{h}\\\\[/tex]

[tex]\Rightarrow \sin B^{\circ}=\frac{AB}{AC}= \frac{4.8}{5.1}\\\\[/tex]

[tex]\Rightarrow \sin B^{\circ}= .941[/tex]

[tex]\Rightarrow B^{\circ}= \sin^{-1} (0.941)\\\\\bold{\sin^{-1} (0.941) = 70.2^{\circ}}\\\\\therefore \ \ \ \ \bold{B^{\circ} = 70^{\circ}}[/tex]

Answer:

70

Step-by-step explanation:

(15 POINTS AND BRAINLIEST)

A health club has a one time membership fee of $99, then charges $15 per month for members.

a) Write an equation in slope-intercept form for the cost y of joining the club
for x months.


b) How much has Muscular Marty paid if he has been a member for one year?

Answers

Answer:

a) The line will be y = 15x + 99 because the 99 is a one time purchase.

b) After 1 year, x will be 12 so Muscular Marty will pay 15 * 12 + 99 = $279.

Answer:

a) y = 99 + 15x

b) 279

Step-by-step explanation:

b) 1 yr = 12 months

thus x is 12

y = 99 + 15(12) = 99 + 180 = 279

how do I solve: 8 – (m - 3) = 7 – 3m​

Answers

Answer:

m=-2

Step-by-step explanation:

8-(m-3)=7-3m

8-1(m)-1(-3)=7-3m

8-m+3=7-3m

-m+3m+8+3=7-3m+3m

2m+8+3=7

2m+11=7

2m=-4

m=-2

Hope this helps!

Step-by-step explanation:

So, this is how you do it.

If the 6th terre
an Alis 11 and the first term is 1
find the common difference

Answers

Answer:

6th term = 11

1st term = 1

d = 11 - 1/5 = 2

Determine the smallest integer that makes -3x + 7 - 5x < 15 true.

State the smallest possible value for x in the solution set below as a number only.

Answers

Answer:

-1

Step-by-step explanation:

write it in the following manner:

-3x + 7  - 5x = 15

-8x + 7 = 15

-8x = 8

x = -1

Thus, the number has to be smaller than -1.

The smallest integer that makes the given inequality true is 0.

What is Linear Inequalities?

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given inequality,

-3x + 7 - 5x < 15

We have to find the value of x.

(-3x - 5x) + 7 < 15

-8x < 8

Dividing whole sides by -1, the inequality sign changes.

x > -1

Smallest possible value is 0.

Hence the smallest posible value is 0.

Learn more about Inequalities here :

https://brainly.com/question/26855203

#SPJ2

A certain virus is dying off at a rate of 18% per hour. Initially there were
40,000 grams of the strain. If this continues at this rate, how much of the
strain would still be alive after 48 hours? (Round your answer to the
nearest whole number.) *

Answers

Answer:

3 strain would still alive after 48 hours

Step-by-step explanation:

Initial population of virus = 40000 grams

A certain virus is dying off at a rate of 18% per hour.

We are supposed to find  how much of the  strain would still be alive after 48 hours

Formula : [tex]N(t)=N_0(1-r)^t[/tex]

[tex]N_0[/tex]=Initial population

N(t)= Population after t hours

r = rate of decrease = 18% = 0.18

t = time = 48 hours

So,the  strain would still be alive after 48 hours=[tex]40000(1-0.18)^{48}=2.91 \sim 3[/tex]

Hence 3 strain would still alive after 48 hours

Cam bounces a ball 2.528 feet in front of his feet. The path of the ball from the time it hits the ground until it lands on the floor is represented by
f(x)= -(x-7)^2+20

Assuming that Cam's feet located at the origin, (0,0), what is the maximum height of the ball in (feet)?​

Answers

Answer:

20 feet

Step-by-step explanation:

Since the term -(x-7)^2 is negative, the largest height that the ball can reach is when this term is 0. 0+20=20, meaning that the highest the ball can go is 20 feet. Hope this helps!

Answer:  20 feet

Step-by-step explanation:

The vertex form of a quadratic equation is: y = a(x - h)² + k

where (h, k) is the vertex

h is the axis of symmetry (time at which maximum height is reached)

k is the maximum height

Given: y = -(x - 7)² + 20

--> h = 7, k = 20

therefore, the maximum height of the ball is 20

One cubic centimeter of sand weighs 1.9 grams. Find the amount of sand that the sandcastle bucket can hold.

Answers

Answer:

2160

Step-by-step explanation:

1872(volume of the cube)+288(volume of the square pyramid)=

2160

v of cube= lwh

v of square pyramid= a² times h/3

please mark brainliest!

ASAP PLS! WILL MARK BRAINLYEST AND 6TH GRADE MATH

Answers

Answer:

The correct answer is B!

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

Find the volume of the prism
pls!! show how you got the volume ​

Answers

Answer:

Step-by-step explanation:

The way you can solve this is by splitting the cube into two parts.

Split the top cube apart from the bottom cube and then find the volume of each and add them together.

The first cube on top would be 80x90x75= 540000 centimeters

The second cube would be 270x75x80=1620000 centimeters

540000+1620000=2160000 centimeters

Hope this help!

Comment if you would like a visual drawing of the math!!

(Also the answer can be written as 21600 meters)

what is the output value for the following function if the input value is 1?
y=3x + 1

Answers

Answer:

The output value is 4

Step-by-step explanation:

The output value is the y value, so y=3(1)+1

y=3+1

y=4

Kimmy walks to school each day. She uses a map that is drawn on a standard (x,y) coordinate plane to see how far she walks. On the map, one coordinate unit represents 100 feet. Her house is located at (8, 4) and the school entrance is located at (-4, -2). Each day, she walks directly from her house to the school entrance. ​ ​To the nearest foot, what is the distance Kimmy walks to school each day?

Answers

Answer:

1342 feet

Step-by-step explanation:

Kimmy's house is located at (8, 4)

The school entrance is located at (-4, -2).

To find the distance Kimmy walks to school every day, we use the Distance formula:

[tex]\text{Distance =}\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Where [tex](x_1,y_1)=(8, 4),$ and (x_2,y_2)=(-4, -2).[/tex]

[tex]\text{Distance=}\sqrt{(-4-8)^2+(-2-4)^2}\\=\sqrt{(-12)^2+(-6)^2}\\=\sqrt{144+36}\\=\sqrt{180} \\=13.42$ Units\\Since 1 coordinate unit represents 100 feet.\\\\Distance walked by Kimmy to school every day\\=13.42*100 feet\\=1342 feet (to the nearest foot)[/tex]

WILL GIVE BRAINLIEST

Answers

Answer:

3

Step-by-step explanation:

These are similar triangle

We can use ratios to solve

12         12+4

------ = ----------

9         9+DC

Using cross products

12( 9+DC) = 9*(12+4)

12 (9+DC) = 9*16

Divide each side by 12

12/12 (9+DC) = 9*16/12

9+DC = 12

Subtract 9 from each side

9+DC-9 =12-9

DC =3

Answer:

3 units

Step-by-step explanation:

We can see that triangle ADE is similar to triangle ACB.

Therefore the ratios of the lengths of their sides must be equal.

We can write AD/AC = AE/AB

we are given AD = 9, AE = 12 and AB = 12 + 4 = 16

Substituting the above values into the equation:

AD/AC = AE/AB

9 / AC = 12/16  (rearranging)

(AC)(12) = (9)(16)

AC = (9)(16)/12

AC = 12

We can also see that

DC = AC - AD

DC = 12 - 9

DC = 3 units

HELP TIMED! WILL MARK BRAINLIEST Which table represents a liner function?

Answers

The one that goes:
X: 1,2,3,4,5
Y: 5,10,15,20,25

Answer: y= 5, 10, 15, 20, 25

Step-by-step explanation:

1, 2, 3, 4, and 5 each are 1 number apart

5, 10, 15, 20, 25 each are 5 numbers apart

the rate of change is 1/5

What is the function of f(x)

Answers

Answer:

f(x) = 5/2x+7

Step-by-step explanation:

The y intercept is 7

We have 2 points (0,7)  (2,12)

We can find the slope

m = (y2-y1)/(x2-x1)

   = (12-7)/(2-0)

   = 5/2

We can use slope intercept form

y = mx+b

y = 5/2x+7

f(x) = 5/2x+7

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