(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


Related Questions

X2-7x-34=10 solve please

Answers

its -8 4/5, hope this helps

Answer:

x = 11

x = -4

Step-by-step explanation:

Question 6 of 10
Which graph or graphs appear to show a sinusoid?
A. I only
B. I and II only
C. Il only
D. III only

Answers

Answer: B. I and ll only

Step-by-step explanation:

The graph appear to show a sinusoid is Graph  I and II only.

What is Sinusoidal function?

A smooth, repeating oscillation characterises a sinusoidal function. Sine is an oscillation that is smooth and repeated, thus the name "sinusoidal." A pendulum swinging, a spring bouncing, or a guitar string vibrating are a few examples of commonplace objects that can be described by sinusoidal functions.

A sinusoidal function has a smooth periodic graph as its representation.

The graph repeats itself at every predetermined interval and is continuous along the x-axis.

We can tell from the graph that has been given to us that it is a sinusoidal graph || since it resembles a graph of sines.

Moreover, since graph I|I is not continuous, it cannot be a graph of sinusoidal graph.

Moreover, graph I represents a sinusoidal graph because it resembles a sine function graph.

Learn more about Sinusoidal function here:

https://brainly.com/question/12803060

#SPJ7

Help.....Me...........PLEASE

Answers

Answer:

~corresponding angles

~congruent

~7x-10=6x so x=10

~60⁰ and 60⁰

Solve the system of equations by elimination:
3x+y=5
2x-2y=-2

NO LINKS PLEASE

Answers

First divide both sides of 2x-2y=-2 by 2 to get x-y=-1. Now, you can simply add the equations together and you’d get 4x=4. Divide both sides by 4 to get x = 1. Then, plug in the 1 to one of the original equation (I used 2x-2y=-2):
2(1)-2y=-2
2-2y=-2
-2y=-4
y=2

So x = 1 and y = 2! :) hope this helps

Answer: (1, 2)

             x = 1  and y = 2

Step-by-step explanation:

3x + y = 5  Multiply this equation by 2   =>    6x + 2y = 10

2x -2y = -2                                               =>  + 2x - 2y = -2

                                                                       8x         = 8

                    **divide both sides by 8 =>         x  =  1

                   *** substitute 1 for x in either equation to get y

                                   

                     3(1) + y = 5

                    -3             -3

                             y = 2

                                                       

A fourth of the product of 13 and a number M

Answers

Answer:

[tex]\frac{13m}{4}[/tex]

Step-by-step explanation:

"the product of 13 and a number M" should be written as 13m.

To get a fourth of the produce we would need to divide it by four.

A fourth of the product of 13 and a number M should be [tex]\frac{13m}{4}[/tex] .

Hope this helps.

Find the vertex and the axis of symmetry.

Answers

Answer:for the vertex I believe it is y-9 and x-2 for axis of symmetry

Step-by-step explanation:

Answer:

a. Downwards

b1. x intercept = (-4,0) (8,0)

b2. Y intercept (0,8)

c. Vertex (2,9)

d. Axis of symmetry 2

Step-by-step explanation:

A group of friends were working on a student film that had a budget of $1200. They use 63% of their budget on equipment. How much money did they spend on equipment?

Answers

Answer:

$756

Step-by-step explanation:

To find the percentage of a number just move the percentage amount decimal over two spaces and multiply like so

63%=.63

.63 x 1200

They used $756 on equipment

3(x+2)=5x-7
Work out value of x

Answers

Answer:

first distribute:

3x+6=5x-7

then combine the x's:

-2x+6=-7

get rid of the 6:

-2x=-13

divide the 2:

6.5

Step-by-step explanation:

Answer:

x = 13/2

Step-by-step explanation:

3(x+2) = 5x-7 3x+6 = 5x-73x-5x = -7-6-2x = -13x = -13/-2x = 13/2

Express each ratio as a fraction in the simplest form:

8dm to 3.2 m and 0.3k to 500 m

Answers

Answer:

1/4, 3/5

Step-by-step explanation:

0.8/3.2=8/32=1/4

0.3/0.5=3/5

The scale of a map is 1 cm : 17 km. Find the actual distance corresponding to the map distance.
1:
The distance on the map is 2.5 cm.
The actual distance is «m.

Answers

Answer:

I believe its 42.5 or 42500

Step-by-step explanation:

if its not right im so so so so sorry

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST

Answers

Answer:

5

Step-by-step explanation:

move constant

x+7 ≥ 12

subtract

x≥ 12-7

solution

x ≥ 5

URGENTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT

Answers

Answer:

I don't think soo that it make a function

No, as the graph fails the verticals line test

So the answer is A

how fast is a skater traveling in meters per second if they are moving at a rate of 5.6 mile per hour

2.51m/s

0.25 m/s

14.24 m/s

25.09 m/s​

Answers

Answer:

2.51

step by step explanation:

2.51 meters per second is the speed of skater traveling if they are moving at a rate of 5.6 mile per hour.

To convert from miles per hour (mph) to meters per second (m/s), we will need to use the following conversion factors:

1 mile = 1609.34 meters

1 hour = 60 × 60 = 3600 seconds

Given the skater's rate of 5.6 mph:

Speed in m/s

= (5.6 mph) × (1609.34 m/mile) / (3600 s/hour)

≈ 2.51 m/s

So, the skater is traveling at a rate of approximately 2.51 meters per second.

Learn more about speed here:

https://brainly.com/question/5082291

#SPJ3

There are 14 apples in a basket. 9 of these apples are green. The rest of them are red.
What is the ratio of red apples to green apples?

Answers

Answer:

9:5 is the ratio of green to red

9:5 is the ratio of green to red

Meshal earns $750 per week. He has 1/5 of his income withheld for federal taxes, 1/15 of his income withheld for state taxes, and 3/25 of his income withheld for medical coverage. How much income is left each week after those deductions?

Answers

Answer:

$460 is the Income Left.

Step-by-step explanation:

1/5 of $750 is $150 so after Federal Taxes he has $600

1/15 of $750 is $50 so after State Taxes he has $550

3/25 of $750 is $90 so after Medical Coverage he has $460

Therefore after the Income that’s left after those deductions would be $460.

help me with this guys

Answers

Let y = cos⁻¹(x), so that cos(y) = x.

For some angle y between 0 and π, cos(y) takes on some value between -1 and 1.

For the y in this range, we have cos(y) = -1/2 exactly when y = 2π/3.

Then

tan(cos⁻¹(-1/2)) = tan(2π/3) = sin(2π/3)/cos(2π/3) = (√3/2)/(-1/2) = -√3

What is the 5th equivalent fraction to 1/12?

Answers

Answer:

Fractions equivalent to 1/2 are 2/4, 3/6, 4/8, 5/10, 6/12 ...

Step-by-step explanation:

Hope it helps

write a linear equation that passes through the point (-3,3) and (9,-13)

Answers

Answer:

y=-4/3x-1

Step-by-step explanation:

[tex] \frac{ {y}^{2} - {y}^{1} }{ {x}^{2 -{x}^{1} } } [/tex]

[tex] \frac{ - 13 - 3}{9 - - 3} = \frac{ - 16}{12\ }[/tex]

y=mx+b like this:

y=-4/3x+b

To find b:

y=-4/3x+b. 

You can use either (x,y) point you want..the answer will be the same

(-3,3). y=mx+b or 3=-4/3 × -3+b, or solving for b: b=3-(-4/3)(-3). b=-1.

(9,-13). y=mx+b or -13=-4/3 × 9+b, or solving for b: b=-13-(-4/3)(9). b=-1.

What are the values of each variable?

Answers

x is 67
y is 63
z is 85

explanation-
x + 63 = 130 (exterior angle theorem)
-63 -63
x = 67

y and 63 are vertical angles so they are equal.

63 + 85 + z = 180 (triangle sum theorem)
148 + z = 180
- 148 -148
z = 32

HELP PLS! At a raffle, 100 tickets are sold for 1 prize of $100 and 3 consolation prizes of $20. What prizes should the tickets be sold for if the goal is to make the raffle a fair game?

Answers

Step-by-step explanation:

I assume "fair game" means that there is no profit and the expenses are equal to the income or sales.

we have clear expenses :

1× $100

3× $20

that is in total : $160

now we need to make sure that we generate exactly $160 by selling the tickets.

we have 100 tickets that should lead to $160.

how much should 1 ticket cost ?

well, 160/100 = $1.60

table value equation for y=2x + 4

Answers

Answer:

below

Step-by-step explanation:

All we need to do is substitute the x values given in the table to find each value of y thats blank.

When x = -1,

y = 2(-1) + 4

y = -2 + 4

y = 2

When x = 1,

y = 2(1) + 4

y = 2 + 4

y = 6

Whe x = 2,

y = 2(2) + 4

y = 4 + 4

y = 8

Best of Luck!

Solve the equation
n/10+6=13

Answers

Answer:

n = 70

Step-by-step explanation:

n/10 + 6 = 13

n/10 = 7

n = 70

CHECK:

70/10 + 6 = 13

-2/9 as a decimal help

Answers

Answer:

-.222

Step-by-step explanation:

Hey there!

To find the decimal form of a number you have divide the numerator (top number) from the denominator (bottom number) and you should have your result then

a / b

= a ÷ b

= result

Equation: -2/9

= -2 ÷ 9

= -0.222222

Answer: -0.222222

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

negative three over eight divided by five over nine..

Answers

Answer:

- 27/40

Step-by-step explanation:

The picture shows $40.50 that two friends earned mowing a lawn.
They want to share the money equally.

Drag the money below to show how much each friend will get.

Answers

Answer:

Each friend gets $20.25

40.50/2=$20.25

So $20.25 each

what is the approximate area of a circle with a radius of 11m?

Answers

The answer to this is that the area≈380.13

The length of a rectangle is 3 in longer than its width.
If the perimeter of the rectangle is 70 in, find its length and width.

Answers

Answer:

A rectangle have 2 equal sides whilst the other 2 is also equal

So we can make length “l”

Whilst we can make width “w”

So the formula for a perimter is

2l+2w=p

In this case it’s 70

Now the length is 3 in longer then the width.

So l= 3+w

We can subsitute that in so we can solve the equation now

2(3+w) + 2w = 70

4w+6=70

Now solve

4w+6=70

4w= 64

w= 16

So width is 16

Lenght is 3 more then with so 16+3=19

Width is 16

Length is 19

She ran 415 miles on Monday.
She ran a different distance on Tuesday.
She ran a total of 712 miles on both days

Answers

Answer:

she ran 297 miles on tuesday

Step-by-step explanation:

Answer:

Distance ran on Tuesday: 297 miles

Step-by-step explanation:

total distance ran = distance ran on Monday + distance ran on Tuesday

⇒ 712 = 415 + x

⇒ 712 - 415 = x

⇒ 297 = x

Is this answer right?

Answers

Answer:

that is the correct answer.

Step-by-step explanation:

the length of 2/3 a rope is (4u-5) inches Express the total length of the rope in terms of u

Answers

Answer:

6u - 15/2 inches

Step-by-step explanation:

(2/3)rope = 4u - 5

multiply both sides by 3/2

rope = 6u - 15/2

Other Questions
* NO LINKS, NO DOWNLOADS, WILL REPORT* Read the excerpt from "A Quilt of a Country."Once these disparate parts were held together by a common enemy, by the fault lines of world wars and the electrified fence of communism. With the end of the cold war, there was the creeping concern that without a focus for hatred and distrust, a sense of national identity would evaporate, that the left side of the hyphenAfrican-American, Mexican-American, Irish-Americanwould overwhelm the right.What is the denotative meaning of fault lines in this excerpt?1. lines that are drawn when placing blame2. areas of defense in times of war3. long cracks in the surface of the earth4. breaks in modern American society What is the plural of "un marcador"?1unos marcadores2un marcadors Victor drives a distance of 21.45 miles everyday from home to his office. He moves into a new apartment that is just 3.65 miles away from his office. Determine the distance by which Victor has lessened his drive to the office. Organic phosphate is taken up by producers during photosynthesis and released by cellular respiration.True or false ? How did rosa bonheur contribute to the humanities? which three rights are guaranteed by the bill of rights? Which new primary industry developed in the west in the early 1900s ? A) fishing B) cattle C) Mining D) oil the length of a rectangle is 4 less than 3 times its width.if its width is 5 cm what will be its perimeter observant real life story examples Can an objects mechanical energy be equal to its gravitational potential energy? the current population of earth is estimated to be about 7,440,000,000. express number in scientific notation find the scale figure from A to B.scale figure A= 16 cm,8cm,20 cmscale figure B=12cm,6cm,15cm heeeeeeeeeeelllllllllllppppppppp me NO LINKS PLEASE, JUST ANSWER IS the sequence of work for a job is also known as its help for brainiest get all right plz asap thanks what is the difference between depression and bereavement? Solve (x-1)(x+5)=0 using zero product property can you classify matter based on chemical properties if a sprinkler waters 1/14 of a lawn in 1/2 an hour, how much time it will take to water the entire lawn STATION 6 ! 100 POINTS !!