(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

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

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

                                                       

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:

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

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

X2-7x-34=10 solve please

Answers

its -8 4/5, hope this helps

Answer:

x = 11

x = -4

Step-by-step explanation:

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.

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

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

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

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:

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

Answers

The answer to this is that the area≈380.13

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

Answers

Answer:

~corresponding angles

~congruent

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

~60⁰ and 60⁰

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!

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

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

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

negative three over eight divided by five over nine..

Answers

Answer:

- 27/40

Step-by-step explanation:

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

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

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

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.

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:

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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

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

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

Is this answer right?

Answers

Answer:

that is the correct answer.

Step-by-step explanation:

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

-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:)

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.

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