x2–6x + 10 is to be written in the form ( x +a)2+ b Find the values of a and b.

Answers

Answer 1

Answer:

a = -3 and b = 1

Step-by-step explanation:

x² - 6x + 10

→ Half the second term and place it in the bracket

( x - 3 )²

→ Square -3

- ( 3 )² = -9

→ Place this outside the brackets along with plus 10

( x - 3 ) ² - 9 + 10

→ Simplify

( x - 3 ) ² + 1


Related Questions

A rectangular front porch has a perimeter of 46 feet. Its area is 126 square feet. What are
the dimensions of the porch?

Answers

Answer:

9ft by 14ft

Step-by-step explanation:

Area:

9 x 14 = 126

Perimeter:

9 + 9 + 14 + 14 = 46

Help me With 1 and 3

Answers

Answer:

1. A

2. B

Step-by-step explanation:

They want to isolate x in both cases.

So the best choice for question 1 is A because if he adds 10 to both sides x will be positive.

On question 3 the best choice is subtracting 15 from both sides

The answer is number 1

Which equation best represents the relationship between 3 and y in the graph?
у
91
8
7
6
5
3
-2
1
-7-5-5
-2-1
1
3
4 5
6
-2
2

Answers

Answer:

me no englis

Step-by-step explanation:sorry

8. Does the equation show a proportional relationship?
y = x + 9
O Yes
O No

Answers

Yes it does show it...

What is the midpoint of the segment with endpoint(1,9)and(-3,5)

Answers

Answer:

(-1 , 7)

Step-by-step explanation:

To find the midpoint, the equation used is:-

[tex]\frac{x1 + x2}{2} , \frac{y1 + y2}{2}[/tex]

Here, the values are:-

x1 = 1

x2 = -3

y1 = 9

y2 = 5

Substituting these in the equation, we get:-

[tex]\frac{-3 + 1}{2} ,\frac{9+5}{2}[/tex]

[tex]\frac{-2}{2} ,\frac{14}{2}[/tex]

(-1, 7)

The number of pancakes y is proportional to the cups of pancake mix x that is used to make the pancake batter. The pancake batter will make 10 pancakes when 2 cups of pancake mix is used. Write an equation that represents the situation.

Answers

Answer:

y=5x

Step-by-step explanation:

10=m x 2

m=5

Brainliest?

Answer: For the first one, it’s y=5x and even though you didn’t put it, for the second question, it’s 30 dollars

Step-by-step explanation:

1. 10/2=5. Y=5x

2. 5*5 = $25.00

can someone help please​

Answers

Don’t open that file it takes your information have a good day and stay safe

Kelly, Matt, and Bo are sharing 2 pizzas equally. How much pizza does each person get?

Answers

Answer:

Hi! The answer is [tex]1.5[/tex]

Step-by-step explanation:

[tex]Kelly + Matt + Bo = 3[/tex]

[tex]3, People / 2, Pizzas[/tex]

[tex]3/2 = 1.5[/tex]

[tex]1.5, Pizzas[/tex]

☆*: .。.。.:*☆☆.*: .。..。.:*☆☆*: .。.。.:*☆☆.*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

What is the average rate of change for this function for the interval x=2 to x=4?

Answers

Answer:

12

Step-by-step explanation:

The average rate of change in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 2, 4 ]

f(b) = f)4) = 32 ← from table

f(a) = f(2) = 8 ← from table

Then average rate of change is

[tex]\frac{32-8}{4-2}[/tex] = [tex]\frac{24}{2}[/tex] = 12

pls help........................................................

Answers

Answer:

6 i think

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

You order all the numbers from least to greatest and the center number/s is the median.

If two numbers are in the center, you add them up and divide by 2

The median for this set was 4 and 4. We add those numbers (4+4=8) and divide the sum by 2. We get 4 as the answer

Find the surface area of the square pyramid (above) using its net (below)​

Answers

Answer:

please where is the above square pyramid

Step-by-step explanation:

please I wish I could help you but your question is in complete

Harmony left her dad’s store to go home at twenty to seven in the evening. Forty minutes later, she was home. What time was it when she arrived home?

Answers

Answer:

8:00 in the morning .....

Answer:

7:20 pm

Step-by-step explanation:

the phrase "twenty to seven in the evening" implies that is twenty minutes before 7:00 pm, meaning the current time was 6:40 pm.

Adding the 40 minutes it took Harmony to get home, the time would have been 7:20 pm

I GIVE YOU BRAINLIEST!!!


The graph of function f is shown.




Function g is represented by the table.
x -1 0 1 2 3
g(x) 24 4 0 -4/5 -24/25

Which statement correctly compares the two functions?

A. They have the same x- and y-intercepts.
B. They have different x- and y-intercepts but the same end behavior as x approaches ∞.
C. They have the same y-intercept and the same end behavior as x approaches ∞.
D. They have the same x-intercept and the same end behavior as x approaches ∞.

Answers

ANSWER:

I would say B

BRAINLIEST PLEASE

Which of the following pairs of lines whose equations are given are perpendicular?

R 2x + 3y = 10

3x + 2y = 5

G. 2x - 3y = 10

H. 3x - 2y = 10

21 - Jy=5

I 2x - 3y = 10

2x + 3y = 5

Answers

H and is the correct answers

What’s is the answer to this?!

Answers

Answer:

Step-by-step explanation:

The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

a²+b²=c²

30²+72²=c²

900+5184=c²

[tex]\sqrt{6084} =c^{2}[/tex]

c=[tex]\sqrt{6084} =78[/tex]

Hope this helped!!

Answer:

78

Step-by-step explanation:

PLS HELPP!
In the diagram, PQ←→ ∥ RS←→
, and transversal t
intersects both lines.

Select all the true statements.

∡1 ≅ ∡4
because they are vertical angles

∡1 ≅ ∡8
because they are alternate exterior angles

∡1 ≅ ∡5
because they are corresponding angles

∡1 ≅ ∡3
because they are alternate interior angles

Answers

Answer: First three is correct. Angle 1 = Angle 3 is incorrect.

Find the lateral area and surface areas of a regular triangular right prism with base edge 10 cm and height 13cm. Round to the nearest tenth.

Answers

Ummm dang this a tuff one

I will give brainliest to whoever gives correct answer first!
A short term loan of £60000 is taken for 15 weeks. Simple interest is charged at 17.5% p.a.
How much needs to be repaid altogether?

Answers

Answer:

Kahe be kaha se ba see u online ba hahahaha

Answer:

$ 100,000,000,000 is required to repay

Write the following statement in if-then form.

All cats chase mice.

Answers

if cats like playing with mice then they will chase them

Find the approximate perimeter of the trapezoid? PLSSS HELPPP

Answers

Answer:

49

Step-by-step explanation:

side 1 = |18-3|= 15

side 2 = |12-3| = 9

side 3 = |16-4| = 12

side 4: [tex]\sqrt{(18-12)^2 + (4-16)^2} \\ \sqrt{36+144} \\ = \sqrt{180} \\ = 13,4[/tex]

perimeter = 15 + 9 + 12 + 13,4= 49,4 = 49

HELP ASAP
Triangle WXY is isosceles. ∠YWX and ∠YXW are the base angles. YZ bisects ∠WYX. m∠XYZ = (15x)°. m∠YXZ = (2x + 5)°. What is the measure of ∠WYX? 5° 15° 75° 150°

Answers

That sounds horrible

PLEASE HELP I REALLY DONT UNDERSTAND

Answers

Answer:

x = 1

Step-by-step explanation:

If you plug in 1 in both equations you will get 3 as your answer as it is the intersection of those two functions.

If the bus is on time to the school 90% of the time, how many days can the school expect the bus on time out of 160 days?

Answers

Answer:

144 days

Step-by-step explanation:

160 · 0.9

if in a triangle ac= 15 and angle abc=60 degrees what is ab?

Answers

Answer:

∠A=30° and AC and BC is 13 and 7.5 units respectively

Step-by-step explanation:

Given that in a right triangle ABC , right angled at C , if angle B =60 degree and AB =15 units

we have to find the remaining angles.

By angle sum property,  sum of angles in right angle is 180°

∠A+∠B+∠C=180°

∠A+ 60°+90°=180

∠A=180°-150°=30°

∠A=30°

As AB= 15

Now by trigonometric ratios we find the other sides of triangle ABC

Hence, ∠A=30° and AC and BC is 13 and 7.5 unitsStep-by-step explanation:

∠A=30° and AC and BC is 13 and 7.5 units respectively

Step-by-step explanation:

Given that in a right triangle ABC , right angled at C , if angle B =60 degree and AB =15 units

we have to find the remaining angles.

By angle sum property,  sum of angles in right angle is 180°

∠A+∠B+∠C=180°

∠A+ 60°+90°=180

∠A=180°-150°=30°

∠A=30°

As AB= 15

Now by trigonometric ratios we find the other sides of triangle ABC

Hence, ∠A=30° and AC and BC is 13 and 7.5 units

Decide whether or not each equation represents a proportional relationship. a. Volume measured in cups ( ) vs. the same volume measured in ounces ( ): b. Area of a square ( ) vs. the side length of the square ( ): c. Perimeter of an equilateral triangle ( ) vs. the side length of the triangle ( ): d. Length ( ) vs. width ( ) for a rectangle whose area is 60 square units:

Answers

Answer:

Volume measured in cups (c) vs. the same volume measured in ounces (z)

Find the value of y that makes 120y a perfect square​

Answers

Step-by-step explanation:

y = 30

120y = 120×30 = 3600

√3600 = 60

The value of y is 60 which makes 120y a perfect square.

What is a perfect square?

A perfect square is a number that represents the square of a natural number.

For example 9,16,36,64,121 etc

Here given that we have to calculate the value of y for which 120y will be a perfect square.

so 120y = n² where n is the natural number

For calculating the value of y first factorize 120

120= 2*2*2*3*5

= 2² * 2*3*5

=4 *30

from the above, it is clear that 120 can be written as 4*30 where 4 is a perfect square but 30 is not a perfect square.

So if we multiply 30 by 120 then the product has 2²*30² which will be a perfect square.

Therefore the value of y is 30 for which 120*30=n² where n=60.

Learn more about perfect square

here: https://brainly.com/question/1538726

#SPJ2

substitiution method i really need help

Answers

Answer:

x = 7

y = 0

Step-by-step explanation:

Equation:  2x - 9y = 14

We are given that x = -6y + 7

So we substitute (-6y + 7) for "x" in the equation  2x - 9y = 14

* substitute *

2 ( -6y + 7 ) - 9y = 14

now we solve for y using basic algebra

step 1 distribute the 2

2 * -6y = -12y

2 * 7 = 14

now we have -12y + 14 - 9y = 14

step 2 combine like terms

-12y - 9y = -21y

now we have -21y + 14 = 14  

step 3 subtract 14 from each side

14 - 14 cancels out

14 -14 = 0

now we have -21y = 0

step 4 divide each side by -21

-21y / -21 = y

0 / -21 = 0

we're left with y = 0

now to find x

To find x we substitute 0 for "y" in x = -6y + 7

* substitute *

x = -6 ( 0 ) + 7

-6 * 0 = 0

we're left with x = 7

Jason is building a toy box for his little brother Tom. He has painted all six pieces of wood on the outside only. How much area did Jason paint if the lid has a length of 3.5 feet and a width of 3.5 feet and the toy box is 2 feet tall?

Answers

Answer:

52.5 feet

Step-by-step explanation:

3.5x2.5x2=52.5

Find the volume of the rectangular prism. Write your answer in simplest form. No links please

Answers

Answer:

0.055m³

Step-by-step explanation:

V = w × h × l = 0.11 × 0.73 × 0.65 = 0.054611m³

ill give brainIiest to the right answer

Answers

Answer:

[tex]K=6[/tex]

Step-by-step explanation:

In f(x) graph the vertex is at x=4

In g(x) the vertex at x=-2

so, the graph is shifted 6 units left. when the graph is shifted k units left then f(x) becomes f(x+k)

here the  graph is 6 units left so.. K= 6

[tex]-----------[/tex]

hope it helps...

have a great day!!

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