Complete the square and write the equation in Vertex Form:
f(x) = x2 +
+ 10x + 25

Answers

Answer 1

Answer:

f(x) = (x + 5)²

Step-by-step explanation:

f(x) = x² + 10x + 25 = (x + 5)²

y = a (x - h)² + k         vertex: (h , k)

a = 1      h = -5      k = 0


Related Questions

HELP ME PLEASEEEE I DONT WANNA FAIL

Answers

I think it's "D. -16"

I could be wrong though just saying!

Determine if the two triangles are congruent. If yes, which theorem proves their congruence?

Answers

Answer:

Not congruent.

The Angle-Side-Side Postulate does not exist because an angle and two sides does not guarantee that two triangles are congruent. If two triangles have two congruent sides and a congruent non included angle, then triangles are NOT NECESSARILLY congruent.

Step-by-step explanation:

X+3y=17 -2x+3y=-7 how do you solve it

Answers

Answer:

X+3y=17  is  x=−3y+17

-2x+3y=-7  is  x= 3 /2 y+ 7 /2

Step-by-step explanation:

plz help me with the puiz

Answers

The slope of that line is one!

UHHHH HELP ME PLEASE THANK U

Answers

Answer:

The average or mean of the two fights would be 19.5

Step-by-step explanation:

Basically all you have to do for this problem is add the total scores of the two fights and then divide by 2 to find your mean. 32 plus 7= 39/2= 19.5

What is the solution to this equation?

2 x + 10 = 28



Record your answer in the space provided. Be sure to use the correct place value.

Answers

Answer:

[tex]2x + 10 = 28 \\ 2x = 28 - 10 \\ 2x = 18 \\ 2x \div 2 = 18 \div 2 \\ x = 14[/tex]

Find the volume of the cone. 10 in 20 in​

Answers

Answer:

its 47

Step-by-step explanation:

so you add a number and then you subtract and then you divide and yiu get 4657848

The width of a rectangle is 7 feet and the diagonal legnth of the rectangle is 11 feet. Which measurement is closest to the length of this rectangle in feet?

Answers

Answer:

8.49 feet

Step-by-step explanation:

Characteristics of a rectangle

A rectangle is a quadrilateral It has two parallel sides the diagonals of a rectangle bisect each other and they are equal in length

One diagonal of a rectangle divides a rectangle into two right angled triangles. Thus, the length of the rectangle can be determined using the Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length = ?

b = width = 7

c = diagonal = 11

7² + a² = 11²

49² + a² = 121²

a² = 121 - 49

a² = 72

calculate the square root of 72

a = 8.49 feet

Answer:

8.49 feet

Step-by-step explanation:

Can a triangle be formed with the sides lengths of 8 cm, 5 cm and 13 cm?

The side lengths of 8 cm, 5 cm and 13 cm _______ form a triangle.

Drop down options:

cannot
can

Answers

The rule says that the sum of any two sides has to be smaller than the third side so, no it can't

Les is measuring the border of her bulletin

board. She measures around the entire outside

of the bulletin board and finds the distance is

32 units.

Which measurement does 32 units

represent?

Choose 1 answer:

^

Perimeter

®

Length

©

Area

Answers

Answer:

Perimeter of the board

Step-by-step explanation:

That measurement of "the border of her bulletin board" is actually the perimeter of the board.

Sofia rides her bike at a constant speed.
Sofia plots points on the coordinate plane below to show amounts of time it takes her to bike certain distances.

Which of the following ordered pairs could Sofia add to the graph?

Answers

Answer:

Its up then to the left power is 13 so (98-=) is the 4

Step-by-step explanation:

It works because if you use the electron theory by leonard jefford then it will be 98-74wis the 4 to the 13

Answer:

Step-by-step explanation:

its c

(6,60)

Solve for x: three halves plus one half times x equals two x

x equals two thirds
x = 1
x = 2
x = 3

Answers

X=2 hope that helps because you have to plug in 2 for x then solve

Answer:

b) x = 1

Step-by-step explanation:

Given statement,

→ three halves plus one half times x is equals two x.

Forming the equation,

→ (1/2) + (1/2) + (1/2) + (1/2)x = 2x

Now the value of x will be,

→ (1/2) + (1/2) + (1/2) + (1/2)x = 2x

→ (1 + 1 + 1)/2 = 2x - (1/2)x

→ 3/2 = ((4 - 1)/2)x

→ 3/2 = (3/2)x

→ (3/2)x = 3/2

→ x = (3/2) × (2/3)

→ x = (3 × 2)/(2 × 3)

→ x = 6/6

→ [ x = 1 ]

Hence, the value of x is 1.

i keep getting a 50% help me pls

Answers

Answer:

im pretty sure its b

Step-by-step explanation:

bc 5 would be equal to or less than x bc the dot is on 5

Answer: It's either B or D

Step-by-step explanation: You might be forgetting to show something but  based on where the dot is placed its either b or d.

A local artist, Sally, had a total of $2,610 at the end of the State Art Fair. She sold each of her paintings for $45. How many paintings did she sell?

Answers

Sally sold a total of 58 paintings

True or false please

Answers

It goes completely diagonal so True

Have a good day!

(It also has matching points at the middle if you need more evidence XD)

Is it the first one the second one the third one the fourth one ??not to be rude but please hurry !!! 20 points !!!

Answers

Answer:

5/6 ÷ 1/12 = 10

Step-by-step explanation:

5/6 ÷ 1/12     =      5/6 x 12/1 = 60/6 = 10

Proof:

5/6 tank = 10/12 tank

If each trip takes 1/12 tank, then 10 ÷ 1 = 10 trips

which is equivalent to the expression (2x+4)(x-6)?

Answers

Answer:

2(x² – 4x – 12)

Step-by-step explanation:

(2x+4)(x–6) →

2(x+2)(x–6) →

2(x(x–6) + 2(x–6)) →

2(x² – 6x + 2x – 12) →

2(x² – 4x – 12)

Can anyone help me please ?

Answers

3 I’m not entirely sure though

Carly had some markers. After she bought 16 more, she had 40 markers. How
many markers did Carly start with?

Answers

Answer:

24 markers

Step-by-step explanation:

24+16=40

40-16=24

It’s 26. You just do 40 - 16

find the volume of the solid figure​

Answers

Answer:

Volume= Length × Width × Height

help find angle m and angle n! <3

Answers

Answer:

<m=79

<n=66

Step-by-step explanation:

The exterior angle is equal to the sum of the non-adjacent interior angles.

4. Asia is designing a triangular-shaped window with a height of 15 inches and

an area of 135 square inches. What is the length of the base of the window?

Answers

Answer:

18in

Step-by-step explanation:

Given data

Height h= 15 in

Area= 135 in^2

The expression for the area is given as

Area= 1/2 Base * Height

substitute

135= 1/2* Base*15

135= 7.5 Base

Base= 135/7.5

Base=  18 in

Hence the base is 18in

I need this answered as soon as possible

Answers

Answer:

34

Step-by-step explanation:

basically you need to actually put something in the black photo there

Answer:

its black Ф_Ф

Step-by-step explanation:

A
Write an explicit formula for an, the nth term of
the sequence 17, 15, 13, ...

Answers

Tn=-2n+19

Step-by-step explanation:

Well in south africa we use Tn

Tn=a+(n-1)d

a=is the first term in the sequence which is 17

d=is the the difference between the terms which is - 2

Tn=17+(n-1)(-2)

Tn=17-2n+2

Tn=-2n+19

Plz help me with this
Find The Product of:
[tex] \sqrt[3]{2} \times \sqrt[6]{5} [/tex]

Answers

Answer:

Step-by-step explanation:

You can find the cube root of 2 and multiply it by the 6th root of 5.

cube root(2) = 2^(1/3) = 1.2599

6th root of (5) = 0.7418

Product = 1.2599 * 0.7418 = .9346

You need a key that will do fractional powers. Look around on your calculator for ^ that key y^x  or x^y.

Using one of those keys, you would put in 2 ^ 0.33333333 =

If your calculator does not have this key (I recommend you buy one that does. They are less than 10 dollars), then you can use the calculator on windows.

Barry carefully measured all three sides of the triangle and the dimensions were as follows: 7 meters, 8 meters, 10 meters. Was it a Right Triangle? Please help!

Answers

Answer: Not a right-angled triangle

Step-by-step explanation:

Given

The sides of a triangle are [tex]7\ m, 8\ m, \text{and}\ 10\ m[/tex]

For a right-angle triangle, it must satisfy the Pythagoras theorem

[tex]a^2+b^2=c^2[/tex]

i.e. the square of the larger side must be equal to the sum of the square of the remaining two sides

Here,

[tex]\Rightarrow 7^2+8^2\ ?\ 10^2\\\Rightarrow 49+64\ ?\ 100\\\Rightarrow 113\neq 100[/tex]

Therefore, it is not a right-angle triangle

You need a loan for your new house that you want to buy. The amount you borrow is $550,000 and the annual interest rate is 2% for 30 years. How much interest do you need to pay?

Answers

Answer:

Step-by-step explanation:

Principle x Rate x Time

(550,000) (0.02) (360) = 3,960,000

Interest = 3,960,000

Which value, to the nearest tenth, is the smallest solution of f(x) = g(x) if f(x) = ln(x + 5) – 1 and g(x) = x3 – 2x + 1?

Answers

Answer:

There are two possibilities of determine which solution is the smallest one:

(i) The smallest solution is the value of [tex]x[/tex] has the smallest distance with respect to origin: [tex](x_{2},y_{2}) = (0.18,0)[/tex]

(ii) The smallest solution is the most negative value: [tex](x_{1},y_{1}) = (-1.577,0)[/tex]

Step-by-step explanation:

Let [tex]f(x) = g(x)[/tex], [tex]f(x) = \ln (x+5)-1[/tex] and [tex]g(x) = x^{3}-2\cdot x + 1[/tex], then we have the following implicit equation:

[tex]\ln (x+5)-x^{3}+2\cdot x -2 = 0[/tex] (1)

This equation cannot be solved by analytical means. There are two different strategies to solve this expression: (i) Numerical methods, (ii) Graphical methods. We decide to use the second method:

Let suppose that we use this function [tex]h(x) = \ln (x+5) -x^{3}+2\cdot x - 2[/tex]. By the help of a graphing tool, we find the smallest solution such that [tex]h(x) = 0[/tex]. There are three possible solutions: [tex](x_{1},y_{1}) = (-1.577,0)[/tex], [tex](x_{2},y_{2}) = (0.18,0)[/tex], [tex](x_{3}, y_{3}) = (1.376, 0)[/tex]

There are two possibilities of determine which solution is the smallest one:

(i) The smallest solution is the value of [tex]x[/tex] has the smallest distance with respect to origin: [tex](x_{2},y_{2}) = (0.18,0)[/tex]

(ii) The smallest solution is the most negative value: [tex](x_{1},y_{1}) = (-1.577,0)[/tex]

The smallest smallest solution of f(x) = g(x) will be [tex]\rm \left(-1.577,0.223\right)[/tex]

What exactly is a function?

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

Given functions;

f(x) = ln(x + 5) – 1

g(x) = x³ – 2x + 1

After graphing both the function, we get the three solutions of the given equation,

[tex]\rm \left(-1.577,0.223\right)[/tex]

[tex]\left(0.18,0.645\right)[/tex]

[tex]\left(1.376,0.853\right)[/tex]

Hence,the smallest smallest solution of f(x) = g(x) will be [tex]\rm \left(-1.577,0.223\right)[/tex]

To learn more about the function, refer to:

https://brainly.com/question/5245372

#SPJ5

Charles and Jaden share a reward of $63 in a ratio of 2:5. How much does Jaden
get?

Answers

Answer:

9

Step-by-step explanation:

2:5=7

therefore Jaden got 63÷7

=9

You bought a lawn mower for $80. For every lawn you cut, you plan to charge
customers $20. Which graph shows how many lawns you must cut to earn back the
money spent on the lawn mower?

Answers

A graph that shows the number of lawns you must cut to earn back the money spent on the lawn mower include the following: B. graph B (top right).

What is the slope-intercept form?

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

m represent the slope or rate of change.x and y are the points.c represent the y-intercept or initial value.

Based on the information provided above, a linear equation that models the situation with respect to the rate of change is given by;

y = mx + c

y = 20x - 80

In conclusion, we can logically deduce that the slope is equal to $20 while the y-intercept is $80.

Read more on slope-intercept here: brainly.com/question/7889446

#SPJ1

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