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3 years ago

6

What is the factored form of this expression? x2 + 6x − 16

2 answers:

Norma-Jean [14]3 years ago

7 0

Answer:

(x + 2)(x - 8)

Step-by-step explanation:

I did this by using the AC method. The AC method of factoring is basically a method to split the middle term bx into 2 separate terms so that you can eventually factor the trinomial using grouping. In order to split the middle term we will need to find the factors that make up the product of the coefficient A and C

Pavel [41]3 years ago

6 0

Answer:

(x-2) (x+8)

Step-by-step explanation:

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The length of a rectangle is twice its width. if the area of the rectangle is 200 yd2 , find its perimeter.

Lorico [155]

Width: x
Length: 2x
Area=x(2x)=2x^2
2x^2=200
x^2=100
x=10 or -10(reject as x>0) [width cannot be less than 0, doesnt make sense]
Perimeter
=x+x+2x+2x
=6x
=6(10)
=60 yd

7 0

3 years ago

Read 2 more answers

The length of side X is 36.25 cm to the nearest hundredth of a centimeter what is the length of y

goldenfox [79]

Answer:

<h3>The length of y is 62.82 cm.</h3>

Step-by-step explanation:

We are given a right triangle with an angle 30°.

Opposite side of angle 30° is x and adjacent side is y.

Also, given length of side x=36.25 cm.

In order to find the value of y, we need to apply tangent trigonometrical ratio.

We know,

$tan \theta =\frac{Opposite \ Side}{Adjacent \ Side}$

Therefore,

$tan \theta =\frac{x}{y}$

Plugging values of $\theta =30^o$ and x=36.25, we get

$tan 30^o=\frac{36.25}{y}$

Plugging value of $tan 30^o=0.577$ in above equation, we get

$0.577=\frac{36.25}{y}$

On multiplying both sides by y, we get

$0.577\times y=\frac{36.25}{y}\times y$

0.577y=36.25

Dividing both sides by 0.577, we get

$\frac{0.577y}{0.577} =\frac{36.25}{0.577}$

y=62.82

<h3>Therefore, the length of y is 62.82 cm.</h3>

3 0

3 years ago

John has decided to prepare an old field for his son's new horse. the length of the field is 10 meters less than 4 times its wid

tatuchka [14]

Answer: The total money invested in the field will be $1,623.80

Step-by-step explanation:

step 1

Find the dimensions of the field

Let

x -----> the length of the field

y -----> the width of the field

p=2(x+y)

p(4.80)=1,584

p=330m

we know that

The perimeter of the field is equal to

so

330=2(x+y)----> equation A

x=4y-10 ------> equation B

substitute equation B in equation A and solve for y

330=2(4y-10+y)

165=(5y-10)

5y=165+10

y+35

Find the value of x

x=4(35)-10+130

therefore

The length of the field is 130 meters and the width of the field is 35 meters

step 2

Find the area of the field

The area of the field is

A=xy

substitute

A=(130)(35)=4,550m2

step 3

Find the number of bags of seed

Divide the area by 460

4,550/460=9.89 bags

Round up to the nearest whole number

9.89 bags=10 bags

step 4

Find the cost of the seed

(10 )(3.98)=$19.8

step 5

Find the total money invested in the field

1,584+$39.8=$1,623.80

7 0

2 years ago

Read 2 more answers

Determine the slope and the y-Intercept of the line that passes through A(-2,4), B(0,8)

Semenov [28]

Answer and work down below. Let me know if you have questions

8 0

3 years ago

Find the value of y in this equation 16y=164

fiasKO [112]

16y = 164
y = 164 ÷ 16
y = 10.25

Hope This Helps You!

8 0

4 years ago

Read 2 more answers