(x+a)^2 -7 = x^2 +10x +b

Work out the value of a and b.

Answers

Answer 1

Answer:

(x+a)²-7=x²+10x+b

simplifying,we get

x²+2ax+a²-7=x²+10x+b

the coefficient of x on both sides should be equal

therefore

2a=10

a=10/2=5

also for b

a²-7=b

5²-7=25-7=b

b=18

a=5


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A polynomial divided by a polynomial is a polynomial

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Answer:

what is this question???

Answer: I think you were trying to ask if this was a true statement, and the answer is yes. If that's what you needed to know?

Work out the shaded area of this shape.

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Answer:

73

Step-by-step explanation:

State what additional information is required in order to know that the triangles are congruent for the reason given. If possible, write the triangle congruence statement.

refer to attachment

Answers

Answer:

SU ≅ RPΔPQR ≅ ΔUTS

Step-by-step explanation:

For SSS congruence, all three pairs of sides must be marked as congruent. That is, there needs to be 3 hash marks on sides SU and RP. (Note the order of the vertices.)

  needed: SU ≅ RP

If we label the triangles in order by hash marks, the congruence statement becomes ...

  ΔPQR ≅ ΔUTS

haha 6 days of history, 3 weeks of math, and 1 week of english all to do tn. It's currently 9:27. oh well who cares aha kinda funny tho

Answers

Answer:

Good Luck - You can do it!!!!!!!

Step-by-step explanation:

I once had 3 months of math to do in one night, but I was able to complete it through online videos. Never Give Up!

Answer:

Sorry about that

Step-by-step explanation:

I hope you finished it all

PLS HELP WILL MARK BRAINLIEST!

Answers

Answer:

I'd say the answer is cube of a binomial, because when something is specifically raised to the 3rd power, that number is being cubed. (When you square a number it has an exponent of 2, whereas when you cube a number it has an exponent of 3.)

Step-by-step explanation:

Hope this helps :)

plz help ill give brainliesy

Answers

Answer:

0.02a

Step-by-step explanation:

Since 0.02 is equal to 2 cents, he would get 0.02a annually. This is because a represents the income from interest and 0.02 is the amount of money made for interest.

What is the m 2x-3=5x-12

Answers

Answer:

15 is the answer

Step-by-step explanation:

If it was designed as an alternate angle, then it would 63 degrees

what are the four functions that are increasing on the interval

Answers

Answer:

Tbh i don’t really know

Step-by-step explanation:

Ask someone else

Identity function
Cubing function
Reciprocal function
Sine function

When deriving the Quadratic Formula, we start with the general equation for a quadratic:

Answers

Answer:

Step-by-step explanation:

c sss

A company installs 5000 light bulbs, each with an average life of 500 hours, standard deviation of 100
hours, and distribution approximated by a normal curve. Calculate the percentage of bulbs and total
number of light bulbs that can be expected to last the period of time indicated. Round to the nearest
hundredth for percent, if possible.

Draw the normal curve

What range of hours constitutes 96% of light bulb hours of life?

Between 300 and 700 hours

Less than 600 hours

Answers

Answer:

C. 97.1 should be your answer

Step-by-step explanation:

Solve for
x
x

6
9
=

5

Answers

[tex]x - 69 = - 5 \\ x = - 5 + 69 \\ x = 64[/tex]

- BRAINLIEST answerer

Answer:

64

Step-by-step explanation:

what is the slope of the line?




Answers

Answer:

The slope is 3 or 3/1

Step-by-step explanation:

5p + 3 = 15 Write a situation that this equation could help you solve and explain how each part of the equation relates to the situation you create.

Answers

Expressions can be represented as equations, and vice versa.

A possible situation is as follows:

John is 15 years old, and his age is 3 more than 5 times his brother's age

The equation is given as:

[tex]\mathbf{5p + 3 = 15}[/tex]

This means that:

15 represents John's ageP represents his brother's age5 and 3 are the constants that relate their ages

Read more about word equations at:

https://brainly.com/question/20518082

The equation 5p + 3 = 15 can be used to find Mgbafor's age when  Okeke's age is five times Mgbafor's age and in three years time, Okeke will be 15 years old.

The equation 5p + 3 = 15 is a linear equation. The equation must represent a variable which when multiplied by 5 and 3 is added yields 15.

Lets assume that Okeke's age is five times Mgbafor's age In three years time, Okeke will be 15 years old. If i am asked to find Mgbafor's age, the equation to use is 5p + 3 = 15, where p = Mgbafor's age.

Learn more: https://brainly.com/question/11897796

Please help me





20 points

Answers

Answer:

1). Simplify the expression.

Exact Form:

( [tex]\frac{37}{25}[/tex] )

Decimal Form:

1.48

Mixed Number Form:

( [tex]1\frac{12}{25}[/tex] )

2). Simplify the expression.

91.46

3). Simplify the expression.

Exact Form:

[tex]\frac{17}{24}[/tex]

Decimal Form:

0.7083  ( bar notation)

4). Simplify the expression.

81.49

solve the equation please
142=10+4x+7x
x= what

Answers

Answer:

11

Step-by-step explanation:

142=10+12x

132=12x

11=x

Answer:

x=12

Step-by-step explanation:

What is the slope of this line?

Enter your answer as a whole number or a fraction in simplest form in the box.

Answers

Answer:

1/4

Step-by-step explanation:

use 2 points from the graph (-4,5) and (0,6) and  put them in the distance equation.

(y2-y1)

----------

(x2-x1)

6-5

-------

0-(-4)

1/4

help with this question

Answers

Answer:

Step-by-step explanation:

20) Joan bought a soft drink for 2 dollars and 8 candy bars. She spent a total of 34 dollars. How much did each candy bar
cost?

Answers

Answer:

the answer is$4

Step-by-step explanation:

he spend $2 on soft drinks and now she had 32 dollars left so she bought 8 candy and 32÷8= 4 so, she had spend$4 each on candy bars

6/9 x 3/8 in simplest form

Answers

refer the attachment for your answer !!

what is halfway between 140,000 and 150,000​

Answers

Answer:

145000

Step-by-step explanation:

(150000-140000)÷2=10000÷2

                                =5000

140000+5000=145000

Answer:

145,000

Step-by-step explanation:

To find halfway between two numbers is the same as finding the mean of two numbers.

140,000+150,000=290,000

290,000/2

=145,000

Hope this helps :)

An item is originally priced at $68.89. It is on sale for 42 percent of the original price. Which is an estimate of the sale price?

Answers

Answer:

The answer is $28.93.

Step-by-step explanation:

Using the butterfly method I got $28.93 as my answer.

$68.89 x 42%= $2,893.38

$2,893.38÷100%= $28.9338

$28.9338 rounded to the nearest hundredth is $28.93. I hope this helps.

Answer:

answer is D.

68.89 x .42=  $28

Step-by-step explanation:

to get your answer you multiply the numbers.

$68.89 x .42 = $28

your answer is $28.

hope this helps!

please make me brainliest !

Simplify. 54+4(3/4−1/2)2

Answers

Answer:

56

Step-by-step explanation:

54 + 4(3/4 − 1/2)2

=> 54 + 4(1/4)2

=> 54 + (1)2

=> 54 + 2

=> 56

Therefore, 56 is our answer.

Hoped this helped.

ALGEBRA: Food Pantry sells its private label salad
dressing in a 48-oz bottle and a 32-oz bottle. If the
48-oz bottle is $0.88 more than the 32-oz bottle and
the unit price of the 32-oz bottle is $0.01 more than the
unit price of the 48-oz bottle, find the cost of each.

Answers

Answer: 48oz = $1.68, 32oz = $0.80

Step-by-step explanation:

Let A be the price of the 48oz bottle and B the price for the 32oz bottle.

We are told that:

A = B + $0.88

------

The unit price is defined as the $ per oz.  

Let Au be the unit price for the 48oz size, and

Bu is the unit price for the 32oz size.

[This means that Au*(48) = A and Bu*(32) = B]

We are told that:

Bu + $0.01 = Au

=======

Find the cost of each.

A = B + $0.88

Au*(48) = Bu*(32) + $0.88

Substitute (Bu + $0.01) for Au

(Bu + $0.01)*(48) = Bu*(32) + $0.88

(48Bu + $0.48) = Bu*(32) + $0.88

16Bu + $0.48 =  $0.88

16Bu  =  $0.40

Bu = $0.025

The 32 oz bottle sells for $0.025/oz, or $0.80 a bottle

B = $0.80

Since A = B + $0.88

A =  $0.80 + $0.88

A = $1.68

The unit prices of 48-oz bottle and 32-oz bottle are $0.0183  and $0.01.

What is division?

One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.

Given, 48-oz bottle is $0.88 more than the 32-oz bottle.

That means,

0.88 > 32 x ( 0.01)

0.88 > 0.32

And the unit price of the 32-oz bottle is $0.01 more than the unit price of the 48-oz bottle.

Unit price of 48-oz bottle,

= 0.88 / 48

= 0.0183

Unit price of the 48-oz bottle is $0.0183.

Therefore, $0.0183  and $0.01 are the unit prices of 48-oz bottle and 32-oz bottle.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

In the diagram below segment AC is congruent to segment CE and segment BC is congruent to segment DC.
Why is triangle BCA congruent to triangle DCE?
See picture for full problem. Please and thank you!

Answers

Step-by-step explanation:

By reflection

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Lines A and B have
the same y-intercept,
but different slopes.
Both slopes are
negative.

PARALLEL PERPENDICULAR OR NEITHER

Answers

Answer:

Neither

Step-by-step explanation:

Since line a and b have different slope, it isnt parallel, and since the slopes both negative, its not an opposite reciprocal, so that isnt perpendicular, thus leading to neither

Assuming that the jet cruises at this constant speed, how long do the pilots' watches measure for a complete circumnavigation of the globe? the radius of the earth is about 6380 km.

Answers

Speed = distance/time
Constant speed means no acceleration so this formula can be used
The question says THIS constant speed so I’m assuming in an earlier part of the question you are told the speed at which it cruises.
Therefore,
Using the speed given
Speed divided by 6380km =time

How does the graph of g(x) = [tex](x+12)^{2}[/tex] relate to the graph of f(x) = [tex]x^{2}[/tex]

Answers

Answer:

Horizontal translation of the parent graph

Step-by-step explanation:

Definitions:

In the vertex form of a quadratic function, f(x) = a(x - h)² + k, where:

(h, k) = vertex of the grapha  = determines the width and direction of the graph's opening.

A horizonal translation to the parent graph is given by, y = f(x - h), where:

h > 0 ⇒ Horizontal translation of h units to the righth < 0 ⇒ Horizontal translation of |h | units to the left

In the graph of g(x) = (x + 12)², the vertex occurs at point (-12, 0).

While the vertex of the parent graph, f(x) = x² occurs at point, (0, 0).

Answers:

Since the vertex of g(x) occurs at point, (-12, 0), substituting the value of (h, k ) into the vertex form will result into:

g(x) = a(x - h)² + k

g(x) = [x - (-12)]² + 0

g(x) = (x + 12)² + 0

g(x) = (x + 12

Therefore, the graph of g(x) = (x + 12)² represents the horizontal translation of the parent graph, f(x) = x², where the graph of g(x) is horizontally translated 12 units to the left.  

Rocío y su hermano Rafael son aficionados al modelismo y tienen una colección de
barcos y aviones. Rocío comentó: "Si tuviéramos once barcos más, tendríamos el
mismo número de barcos y aviones”, a lo que Rafael respondió: “Pero si tuviéramos
doce aviones más, tendríamos el doble de aviones que de barcos”. ¿Cuántos barcos
y aviones tienen Rocío y Rafael?

Answers

Usando un sistema de ecuaciones, se encuentra que Rocío y Rafael tienen 23 barcos y 34 aviones.

Para el sistema, consideramos que:

x es el número de barcos.y es el números de aviones.

Situviéramos once barcos más, tendríamos el  mismo número de barcos y aviones, o sea:

[tex]x + 11 = y[/tex]

[tex]y = x + 11[/tex]

Pero si tuviéramos  doce aviones más, tendríamos el doble de aviones que de barcos, o sea:

[tex]y + 12 = 2x[/tex]

De el primer ecuación, [tex]y = x + 11[/tex], por eso:

[tex]y + 12 = 2x[/tex]

[tex]x + 11 + 12 = 2x[/tex]

[tex]x = 23[/tex]

[tex]y = x + 11 = 23 + 11 = 34[/tex]

Rocío y Rafael tienen 23 barcos y 34 aviones.

Un problema similar es dado en https://brainly.com/question/24646137

simplify the expression: -4x + 8 + 7x - 10
Help PLSSS.

Answers

3x-2 because u combined like terms (7x and -4x) then (-10 and 8) to get 3x-2

your grade varies directly with the time you study if you study for 40 minutes your grade is an 80 how long should you study to get a 95

Answers

Answer:

47.5 minutes

Step-by-step explanation:

40 min = 80

x min = 95

40/80 = x/95

3800 = 80x

x = 47.5

-Chetan K

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