we want to factor the following expression (x-3)^2-10(x-3)+25 which pattern can we use to factor the expression

Answers

Answer 1

Answer:

This question is asking for the pattern , not the factoring of it...

this is the [tex](a+b)^{2} pattern = a^{2} + 2ab + b^{2}[/tex]

Step-by-step explanation:

Answer 2

Answer:

(x - 8)²

Step-by-step explanation:

This is in the form of a perfect square, that is

(x + b)² = x² + 2bx + b²

with x = x - 3 and by comparison of like terms

2b = - 10 ⇒ b = - 5

Then

(x + b)²

= (x - 3 - 5)²

= (x - 8)² ← in factored form


Related Questions

In the triangles, GK PN and HG 2MP.
Which statement correctly compares the angles?
H
M
Angle G is congruent to angle P.
O Angle G is smaller than angle P.
O Angle G is larger than angle P.
O Angle G is congruent to angle N.
32 cm
40 cm
G
K
P
N

Answers

Answer:

G is smaller than P. Visually comparing G to P you are doing a rough comparison to a 90° (or right) angle. Angle G is a little bit tilted to the right making it just under 90°

The statement which correctly compares the angles is Angle G is smaller than angle P.

What is Congruence of Triangles?

Two or more triangles are said to be congruent if and only if sides and angles of one triangle is equal to the corresponding sides and angles of another triangle.

Given are two triangles.

Given that,

GK is congruent to PN.

HG is congruent to MP.

Also, given that,

HK = 32 cm and MN = 40 cm

Angle G is opposite to the side HK.

Angle P is opposite to the side MN.

Angles opposite to the greater side will be greater.

So angle P is greater than angle G

Or, angle G is smaller than angle P.

Hence, Angle G is smaller than angle P.

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13
What is the Pythagorean Theorem?
A) a + b + c
B
a2+b2=c2
a2-b2=c2
D) abc = d

Answers

Answer:

a2 +b2=c2

Step-by-step explanation:

......

hope it helps

Answer: its a^2+b^2=c^2

Step-by-step explanation:

F
is directly proportional to
a
.
If
F
=
25
when
a
=
5
find,
F
when
a
=
8

Answers

Since F and a are directly proportional, we can relate F to our unknown F, and a to our other known a.

25 / 5 = F / 8

Cross-multiply to solve.

5F = 200

F = 40

Hope this helps!

Help please if you don’t mind Thankyouu!

Answers

Answer:

(3V) / b = h

Step-by-step explanation:

V = (1/3)bh multiply both sides by 3

3V = bh divide both sides by b

(3V) / b = h

Combine like terms to create an equivalent expression.
3.26d+9.75d-2.653.26d+9.75d−2.653, point, 26, d, plus, 9, point, 75, d, minus, 2, point, 65

Answers

Answer:

3.26d+9.75d-2.653.26d+9.75d−2.653, point, 26, d, plus, 9, point, 75, d, minus, 2, point, 65

Step-by-step explanation:

Answer:

13.01d-2.65

Step-by-step explanation:

I got it right on Khan Academy just combine like terms and you have your answer.

KoKo Chocolatiers sells their truffes in rectangular boxes. They are going to start ordering circular boxes, too. The rectangular box is made from metal that is 0.3 cm thick. The circular box will be constructed from laminated cardboard that is 0.2 cm thick. The height of the circular box will be the same as the rectangular box. If the volumes of the two boxes are equal, then what is the radius (r) of the circular box?

Answers

Answer:

r = 9.61 cm

Step-by-step explanation:

Volume of a rectangular box = length × width × height

= 21.5 cm × 13.5 cm × 6 cm

= 1,741.5 cm³

Volume of a rectangular box = 1,741.5 cm³

Since,

Volume of a rectangular box = Volume of a circular box

Then,

1,741.5 cm³ = Volume of a circular box

Volume of a circular box = πr²h

1,741.5 cm³ = 3.14 * r² * 6 cm

1,741.5 = 18.84r²

r² = 1,741.5/18.84

r² = 92.436305732484

r = √92.436305732484

r = 9.6143801533163

Approximately,

r = 9.61 cm

The container of orange juice held 53 cups of juice. If a serving of orange juice is ã of a cup of orange juice, to the
nearest whole serving, how many servings were in the container?
05 servings
O 6 servings
15 servings
19 servings
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

5 servings = 265 cups of orange juices

5 servings = 318 cups of orange juices

5 servings = 795 cups of orange juices

5 servings = 1,007 cups of orange juices

Step-by-step explanation:

Given:

1 serving contain = 53 cups of orange juices

Find:

Serving in;

5 servings

6 servings

15 servings

19 servings

Computation:

5 servings = 53 x 5

5 servings = 265 cups of orange juices

5 servings = 53 x 6

5 servings = 318 cups of orange juices

5 servings = 53 x 15

5 servings = 795 cups of orange juices

5 servings = 53 x 19

5 servings = 1,007 cups of orange juices

Question 9 of 10 Based only on the given information, it is guaranteed that AB I CD. A D . Given: AABC ZDAC = ZDBC O A. True O B. False​

Answers

Answer:

False

Step-by-step explanation:

False

There is not enough information to guarantee the lines are perpendicular.

No, we can not say that AB and CD are perpendicular from the information given.

What are perpendicular line?

Two geometric objects are perpendicular if their intersection forms right angles at the point of intersection called a foot.

The condition of perpendicularity may be represented graphically using the perpendicular symbol, ⟂.

Given that a triangle ABC, divided into two triangles by a line DC, also

angle DAC and DBC are congruent,

From the given information we can not conclude any relation between both triangles,

Hence, we can not say that AB ⊥ CD

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The local humane society is trying to determine how many racoons there are in a city. They catch and tag 18 raccoons. Later on, they catch 67 raccoons, and 2 of them are tagged. What is the best estimate of the raccoon population? Answer to the closest whole number.

Answers

Answer:

83 racoons

Step-by-step explanation:

18+67- 2

you would subtract the two they found with tags

What is the value of x in the equation -3/4 = x/24​

Answers

X= -18.

So in -3/4 = x/24 , you have to begin by getting the same denominator. 4 goes into 24, 6 times, so you would have to multiply -3 by 6 too for them to be equal.

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = - 18}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{ - 3}{4} = \frac{x}{24} [/tex]

➼ [tex] \: x = \frac{ - 3 \times 24}{4} [/tex]

➼ [tex] \: x = \frac{ - 72}{4} [/tex]

➼ [tex] \: x = - 18[/tex]

Therefore the value of [tex]x[/tex] is -18.

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex] \frac{ - 3}{4} = \frac{ - 18}{24} [/tex]

➼ [tex] \: \frac{ - 3}{4} = \frac{ - 3}{4} [/tex]

➼ L. H. S. = R. H. S.

Hence verified.

[tex]\bold{ \green{ \star{ \orange{Mystique35♨}}}}⋆[/tex]

A=9 b=12 c=15 sin b cos b tan b

Answers

Answer:

according to right , we use Phythgorous

tanb= 9/12

cosb=12/15

and sinb=9/15

Select a figure from the options which will replace the(?) as established by the problem figure ​

Answers

Answer:

a) is the correct answer.

A parabola can be represented by the equation x2 = –20y.

What are the coordinates of the focus of the parabola?

(–5,0)
(5,0)
(0,5)
(0,–5)

Answers

Answer:

[tex] {x}^{2} = - 20y \\ y = - \frac{1}{20} {x}^{2} \\ { \tt{y = 4a {x}^{2} }} \\ a = - \frac{1}{5} \\ \\ { \tt{focus = (0, \: - 5)}}[/tex]

The requried coordinates of the focus of the parabola x² = -20y are (0, -2.5), which corresponds to the option (0, -5).

What is a parabola?

A parabola is a cross-section cut out of the cone and represented by an equation y = 4ax².

The standard form of the equation of a parabola is (y - k) = (1 / 4p)(x - h)², where (h, k) is the vertex and p is the distance from the vertex to the focus. We can convert the given equation x² = -20y into this standard form by completing the square:

x² = -20y

x² / (-20) = y

x² / (-20) + 0 = y + 0

(x - 0)² = -20(y - 0)

Comparing this equation to the standard form, we can see that the vertex is at (h, k) = (0, 0), and that 4p = -20, so p = -5/2.

Since the focus is a distance of p below the vertex, the focus is at (h, k - p) = (0, -5/2), which is the same as (0, -2.5).

Therefore, the coordinates of the focus of the parabola x² = -20y are (0, -2.5), which corresponds to the option (0, -5).

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2 extra large chocolate shakes contain 85 ounces of ice cream. How many ounces of ice cream are there in 12 extra large chocolate shakes?

plz show work ​

Answers

Answer:

It will be 1020

Step-by-step explanation:

2 extra large = 85 ounces

multiply by 6 to get to 12 cups

85*12=1020

Please help I’ll give brainliest

Answers

Answer:

1000 cubic metre

Step-by-step explanation:

hopes it help

Answer:

solution,

length=10 cm

volume=?

now,

volume of cube=l×l×l

=10×10×10

therefore,the answer is 1000 cubic centimeter

10 points!!!!!
1-16 please finish quickly

Answers

the question is blurry for me take a picture of that again

$12.80 nearest cent ​

Answers

Answer:

13

Step-by-step explanation:

it just 13$ so yeah your welcome

Answer:

12.8

Step-by-step explanation:

Look at the zero in the end (hundreths place). Since it is zero keep everything the same!

If it is higher than 5, round up

If it is 5 or below round down.

0 is special because you can just keep everything the same.

Hope this helps!

can someone help me with this maths question? workings would be appreciated :]


Adrian, Ben and Charlie share some sweets in the ratio 8:5:10
Charlie got 20 more sweets than Adrian.

Work out the total amount of sweets.

Answers

Answer:

total amount of sweets=230

Step-by-step explanation:

ratio=8:5:10

total ratio=8+5+10

=23

Adrian=x

Charlie= x+20

Ben=1/2×(x+20)

Charlie's share

10/23×(x+20+x+(1/2×x+20))=x+20

10/23×(x+20+x+(x+20/2))=x+20

10/23×(x+20+x+x+20/2)=x+20

10/23×(2(x+20)+(2×x)+(x+20/2)/2=x+20

10/23×(2x+40+2x+x+20)/2=x+20

10/23×(2x+2x+x+40+20)/2=x+20

10/23×(5x+60)/2=x+20

50x+600/46=x+20

50x+600=46(x+20)

50x+600=46x+920

50x-46x=920-600

4x=320

4x/4=320/4

x=80

Total amount of sweet

x+x+20+1/2(x+20)

80+80+20+1/2(80+20)

180+1/2(100)

180+50

230

What is the recursive formula for this geometric sequence?
-3, -21, -147, -1029, ...

Answers

(-3)(7)^(n-1)
The common multiplier is 7 but the actual formula you take the first term then multiply it by the multiplier raised to the n-1

The probability that Andrew has heart disease The two events are independent, so you need to find
the product of their probabilities: 0.9 x 0.75 = 0.675. Enter the
correct answer The probability that Andrew has heart disease

Answers

Answer:

correct bayan HAHAHAHAHAHA

Consider the following simple regression model: y = 0 + 1 x 1 + u. In order to obtain consistent estimators of 0 and 1, when x and u are correlated, a new variable z is introduced into the model which satisfies the following two conditions: Cov( z, x) 0 and Cov ( z, u) = 0. The variable z is called a(n) _____ variable. 答案选项组 dummy instrumental lagged dependent random

Answers

Answer:

Instrumental variable

Step-by-step explanation:

cov(z,u)  shows that the instrumental variable is exogenous. An instrumental variable can also be regarded as a third variable, It is included in the model if you have an issue of endogeneity in your regression model. An endogeneity problem arises if there are other variables are being influenced by other independent variable in the same regression model. we use z to account for these behaviours in the model. this variable controls for measurement errors as well as confounding errors.  

these marbles are placed in a bag and two of them are randomly drawn. what is the probability of drawing two blue marbles if the first marble is placed back in the bag before the second draw

Answers

Answer:  1/4

In other words, the number 4 goes in the green box.

============================================================

Explanation:

2 yellow + 3 pink + 5 blue = 10 total marbles

We have 5 blue out of 10 total, so 5/10 = 1/2 represents the probability of picking a blue marble.

Picking two marbles in a row is represented by the probability (1/2)*(1/2) = 1/4

The fraction 1/2 stays the same for both selections because we put the first marble back.

Put these numbers in order from greatest to least.

0.24,0.73,1/4, and 3/4

Answers

Answer:

3/4, 0.73, 1/4, 0.24

Step-by-step explanation:

1/4=25/100=0.25

3/4=75/100=0.75

3/4, .73, 1/4, .24
Explanation:
3/4=.75
1/4=.25

please solve this fast.

Answers

2/3

The fraction has not been simplified

(8/27)^(t/3) = [(8/27)^(1/3)]^t = [(8^(1/3)) / (27^(1/3))]^t = (2/3)^t
So each year the number of bacteria is multiplied by 2/3

Evaluate x2+9/x2 for each of the given values.

What is the value of the expression when x = 3?
2
3
10
undefined
What is the value of the expression when x = 1?
2
3
10
undefined
What is the value of the expression when x = 0?
2
3
10
undefined

Answers

Answer:

ok so we just substate the number in so

6+9/6

6+1 1/3 = 7 1/3

so for part a the answer is 7.33

for part b

2+9/2

3+4 1/2 =7 1/2

so the answer is 7.5

A:7.33

B:7.5

Hope This Helps!!!

Answer:

A, 2

B, 10

C, undefined

Step-by-step explanation:

Just did the assignment  E2021

What is the value of x in the equation of 7x-8=13
PLEASE HELP MEEE​

Answers

Answer:

x = 3

Step-by-step explanation:

7x-8=13

Add 8 to each side

7x-8+8=13+8

7x = 21

Divide each side by 7

7x/7 = 21/7

x = 3

Help me plsssssssss

Answers

[tex]y \: \alpha \: x[/tex]

Let c be the constant

[tex]y = cx \\ 16 = c4 \\ c = \frac{16}{4} \\ c = 4[/tex]

SO:-

[tex]y = cx \\ y = 4 \times ( - 2) \\ y = ( - 8)[/tex]

Answer:

y = 4x

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 16 when x = 4 , then

16 = 4k ( divide both sides by 4 )

4 = k

y = 4x ← equation of variation

When x = - 2 , then

y = 4 × - 2 = - 8

When 4 is added to three times of a number, the answer is the same as subtracting 2 from the number. What is the number ?

Answers

Answer:

- 3

Step-by-step explanation:

let n be the number , then

3n + 4 = n - 2 ( subtract n from both sides )

2n + 4 = - 2 ( subtract 4 from both sides )

2n = - 6 ( divide both sides by 2 )

n = - 3

The number is - 3

The number is - 3.

To find the number.

What is integer?

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. All the whole numbers are also integers, because integers include all the positive and negative numbers.

Given that:

let n be the number , then

3n + 4 = n - 2 ( subtract n from both sides )

2n + 4 = - 2 ( subtract 4 from both sides )

2n = - 6 ( divide both sides by 2 )

n = - 3

So, the number is - 3.

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What is the answer of

Answers

Step-by-step explanation:

here is the answer babe. Feel free to ask for more

Answer:  - 1.

Step-by-step explanation:

[tex]\frac{\dfrac{x+y}{x-y} }{\dfrac{y+x}{y-x} } =\dfrac{x+y}{x-y} \div \dfrac{y+x}{y-x}\\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = \dfrac{x+y}{x-y} \times \dfrac{y-x}{y+x}\\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = \dfrac{x+y}{x-y} \times \dfrac{-(x-y)}{x+y}\\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = \dfrac{-(x+y)(x-y)}{(x-y)(x+y)} \\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = -1[/tex]

(First correct answer will get brainliest) Determine the length of AB. Write your anseer in simplest form

Answers

Answer:

[tex] \frac{6}{6 + AB} = \frac{8}{8 + 10} \\ \\ 6 + AB = \frac{6 \times (8 + 10)}{8} \\ 6 + AB = 13.5 \\ AB = 7.5 [/tex]

The length of AB is 7.5
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