Pls help me with this maths question

Find the zeros of the polynomial x^2 + 8x + 16

Scorpion4ik [409]

hey mate,

$x^2 + 8x + 16 = 0$

<=>

$(x+4)^2 = 0$

As we know that $(a+b)^2 = a^2+b^2+2ab$

then

$(x+4)^2 = 0$

<=> (x+4) = 0

<=> x = -4

so there is one solution x = -4

thanks

4 0

3 years ago

HELP ME Write and solve a proportion to find y.

Phoenix [80]

Given:

A figure of dilation and the center of dilation is O.

To find:

The value of y.

Solution:

The distance between center and vertex of image (d') is proportional to the distance between center and the corresponding vertex of original figure (d).

$d'\propto d$

$d'=kd$

$\dfrac{d'}{d}=k$

Where, k is the scale factor or constant of proportionality.

So, the scale factor for the given dilation is

$k=\dfrac{OB'}{OB}$

$k=\dfrac{36}{16}$

$k=\dfrac{9}{4}$

We know that,

$k=\dfrac{\text{Side length of image}}{\text{Corresponding side length of original figure}}$

$\dfrac{9}{4}=\dfrac{A'C'}{AC}$

$\dfrac{9}{4}=\dfrac{27}{y}$

$9\times y=27\times 4$

Divide both sides by 9.

$y=\dfrac{27\times 4}{9}$

$y=3\times 4$

$y=12$

Therefore, the value of y is 12.

6 0

3 years ago

Idk what to do.And this is due tomorrow

Flauer [41]

Answer:

<u>Question 1:</u>

5 pints per hour

<u>Question 2:</u>

480 tons per day

<u>Question 3:</u>

12 miles per gallon of gasoline

<u />

Step-by-step explanation:

<u>Question 1:</u>

<h2><em>In the morning;</em></h2>

A farm worker packed 3 pints of grapes every 4 minutes.

1 minute = $\frac{1}{60}$ hours

Packing rate in pints per hour = 3 pints ÷ $\frac{4}{60}$ hours = 45 pints per hour

<h2><em>In the afternoon;</em></h2>

She packed 2 pints of grapes every 3 minutes.

Packing rate in pints per hour = 2 pints ÷ $\frac{3}{60}$ hours = 40 pints per hour.

The difference between her morning and afternoon packing rates (in pints per hour) = 45 pints per hour - 40 pints per hour = 5 pints per hour

<u>Question 2:</u>

A recycling plant processes an average of $\frac{1}{3}$ tons of glass each minute.

1 hour = 60 minutes

The number of tons of glass processed in 1 hour is:

$\frac{1}{3}$ × 60 = 20 tons of glass in 1 hour.

1 day = 24 hours

Number of tons of glass processed in a day = 20 tons × 24 = 480 tons

<u>Question 3:</u>

A vehicle uses 1 $\frac{1}{8}$ gallons of gasoline to travel 13 $\frac{1}{2}$ miles.

Per 1 gallon of gasoline the vehicle will travel:

1 × 13 $\frac{1}{2}$ ÷ 1 $\frac{1}{8}$ = 12 miles

5 0

2 years ago

Please help fast!! Find the total surface area of the following cylinder:

neonofarm [45]

explanation:total=addition

area=base x height plus the width (area the amount beneath the surface).

equation:3cm both sides 3cm

answer: 3+3= 6cm .

7 0

3 years ago

Read 2 more answers

Solve the simultaneous equation <br> 2x-5y=9<br> 3x+4y=2

Dmitriy789 [7]

Answer/Step-by-step explanation:

2x-5y=9

Add 5y to both sides of the equation.

2x=9+5y

Divide each term by 2 and simplify.

Divide each term in 2x=9+5y by 2

$\frac{2x}{2} =\frac{9}{2} +\frac{5y}{2}$

Cancel the common factor of 2.

Divide x by 1.

$x=\frac{9}{2} +\frac{5y}{2}$

$y=\frac{-9}{5} +\frac{2x}{5}$

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

3x+4y=2

Add 4y to both sides of the equation

3x=2+4y

Divide each term by 3 and simplify.

Divide each term in 3x=2+4y by 3.

$\frac{3x}{3} =\frac{2}{3} +\frac{4y}{3}$

Cancel the common factor of 3.

Divide x by 1.

$x=\frac{2}{3} +\frac{4y}{3}$

$y=\frac{-1}{2} +\frac{3x}{4}$

5 0

2 years ago

Pls help me with this maths question ​

Pls help me with this maths question