Please answer with explanation, I don't understand.

[tex]\sqrt{x^2-14x+49} =x-7[/tex]

Answers

Answer 1

Answer: x ≥ 7

Step-by-step explanation:

You have to square both sides of the equation. You can manipulate an equation or function any way imaginable as long as it is done equally and helps the problem become easier. If we square this, the radical will cancel and we will get two trinomials equal to each other.

[tex]x^2-14x+49=(x-7)^2\\x^2-14x+49=x^2-14x+49[/tex]

We can see the two expressions are exactly equal to each other. All real numbers are solutions, besides a few. These few are when the radical is equal to a negative number. So lets set up an inequality stating that the radical must be greater than or equal to 0.

[tex]x^2-14x+49\geq 0\\(x-7)^2 \geq 0\\x \geq 7[/tex]


Related Questions

Leon bought 3 slices of pizza for himself and his friends. He spent a total of $7.50. Let p represent the price of one slice of pizza. Write an Algebraic Equation for the situation. Solve the Equation.
Plz do a step by step with the question
this will be for 35 points

Answers

Answer:

3p = 7.50 its something like that but hoped this helped

Step-by-step explanation

7.50 divided by 3

2.50

p= 2.50

Which expression is equivalent to (8x - 1) (4x + 3) ?

Answers

Answer:

A

Step-by-step explanation:

multiplying both the equation

PLZ HURRY IT'S URGENT!!!
What is the vertex of the following quadratic?

y=a(x−h)2+k
options:

(h, k)


(k, -h)


(k, h)


(-h, k)

Question 2
What is the vertex of the following quadratic?

y=2(x+3)2−5
options:

(-3, 5)


(3, -5)


(-3, -5)


(3, 5)

Question 3
What is the vertex of the following quadratic?

y=23(x−1)2+7
options:

(-1, 7)


(-1, -7)


(1, -7)


(1, 7)

Question 4
What is the vertex of the following quadratic?

y=−3(x−9)2−2
options:

(-2, -9)


(9, -2)


(-9, -2)


(-2, 9)

Question 5
What is the vertex of the following quadratic?

y=(x+4)2−6
options:

(4, -6)


(-6, 4)


(-6, -4)


(-4, -6)

Answers

Answer:

1. h,k

2. -3, -5

3. 1, 7

4. 9, -2

5. -4, -6

Step-by-step explanation:

need help to figure it out​

Answers

Answer:

Fraction- 20/100

100 - 80 = 20

Step-by-step explanation:

Answer:

I think 20/100 is the answer

1) What number comes after 234 base 5. Explain
2)What number comes before 210 base 5. Explain

Answers

9514 1404 393

Answer:

  1) 240

  2) 211

Step-by-step explanation:

The counting sequence in base 5 is similar to that in base 10, except the digits 5 through 9 are not used. The first few counting numbers are ...

  1, 2, 3, 4, 10, 11, 12, 13, 14, 20, 21, 22, ...

When 1 is added to 4 in the units place, a carry to the fives place is generated and the units digit is returned to zero.

  234₅ +1 = 240₅

  210₅ +1 = 211₅

2. A line that intersects two or more
lines is called a??

Answers

Answer:

Transversal

Step-by-step explanation:

by defination this is a line that intersects other lines

. If you walk around a circular path TWICE, and the circle has a diameter of 100 m, how far did you walk in TOTAL?

Answers

The total distance traveled was 638.3m.

How to calculate the distance traveled?

To calculate the perimeter of a circle we perform the following operations:

We must keep in mind that the radius of a circle is equal to half the diameter, so the radius of this circle is 100m divided by 2.

100m ÷ 2 = 50m

So the radius of this circle is 50m.

Subsequently, to find the perimeter of the circle we apply the following formula:

2 × π × radius of the circle = perimeter of the circle.

2 × 3.14 × 50 = 314.15m

According to this operation, the distance traveled in one lap would be 314.15m. So in two turns it would be:

314.15m × 2 = 638.3m

Learn more about diameter in: https://brainly.com/question/9762612



The measure of angle D is 55°, the measure of angle E is 85°, and
the measure of angle F is 10x. What is the value of x?

Answers

[tex]x = 4[/tex]

55+85=140

180-140=40

10x=40

divide by ten on each side

x=4

Graph the line.
y=4/3x

Answers

Answer:

Start from (0,0) and do rise over run

Step-by-step explanation:

Rise 4

Run 3

For the III (3rd) quadrant use

Rise -4

Run -3

i am really stuck in this one so help?

Answers

Answer: 7

Step-by-step explanation:

15-8 is 7

Select all the expressions that are equal to the product of 18 and 6.

Answers

Answer: 108

Step-by-step explanation:

product means x 's so there for 18x6= 108

Question 6 (1 point)
Astronomers often measure large distances using astronomical units (AU) where 1 AU is the average distance from Earth to
the Sun. In the image, d represents the distance from a star to the Sun. Using a technique called "stellar parallax,"
astronomers determined is 0.00001389 degrees. How far away is the star from the Sun in astronomical units? Show your
reasoning
NOT TO SCALE
Sun
d
star
0
1
Earth
I

Answers

Answer:4124966.126

Step-by-step explanation:

Distance between star from the sun is d = 4124966.128 AU

What is Trigonometry?

Trigonometry is the branch of mathematics that deals with particular angles functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle.

The astronomical unit distance between the star and the Sun can be calculated using the trigonometric function.

As per the given data:

distance from Earth to the Sun (P) = 1 AU

θ = 0.00001389 degrees

From tanθ:

tanθ = P/B

{P = perpendicular and B = base}

From the diagram:

tanθ = 1/d

tan(0.00001389) = 1/d

d = 1/tan(0.00001389)

d = 4124966.128 AU

The separation between the sun and the star is d = 4124966.128 AU.

To learn more on, Trigonometry:

brainly.com/question/26719838

#SPJ7

? how do I do this problem​

Answers

Answer:

if im not wrong, youd distribute first.. check below !!

Step-by-step explanation:

5 (x - 3) > 15

5x - 15 > 15

5x > 30

5x/5 > 30/5

x > 6 !!!

i hope this helps !!!

A soccer team must raise at least $660 buy new equipment. To reach this goal, each of the 12 soccer players sells tickets
to a game. Tickets cost $2.75 each. The school athletics fund donates an additional $10 per player. The situation is
modeled by the inequality shown,

12(2.75r + 10) 660

How many tickets must each player sell to raise the money?

A at least 19
B at least 17
C at least 16
D at least 20

Answers

Answer:

At least 17

Step-by-step explanation:

12(2.75r+ 10)≥ 660

33r+120≥ 660

33r≥ 540

r≥ 16.36

You can't sell 0.36 of a ticket to they need at least 17

2+2=5 if im not wrong

William earns £9.30 for 1 half hours of work.

Work out how much he would earn for:

A) 30 minutes

B) 5 hours

Answers

Answer:

a)3.10

b)31

Step-by-step explanation:

a) 1 half hour = 90 min

90÷30=3

9.30÷3=3.10

b)5 hrs -> 300 min

300÷30=10

10x3.10=31

6) How are a parallelogram and a trapezoid different?
A A trapezoid has ony 1 pair of parallel sides, but a paralelogram has 2.
C.B.A parallelogram has 4 right angles, but a trapezoid doesn't need to have 4 right
angles
CA parallelogram has only 1 pair of parallel sides, but a trapezoid has 2
D A trapezoid has 4 night angles, but a parallelogram doesn't need to have 4 night
angles

Answers

Answer:

aa the first one

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

what is |8|
-16
–8
8
16

Answers

Download Photomath! It helps a lot!!

Answer:

8

Step-by-step explanation:

Anything in an absolute value is positive.

If n<5, then n<3 true or false pls help me?!?

Answers

I think it is false sorry if i am wrong

2x - x + 7 = x + 3 + 4

Answers

Answer:0

Step-by-step explanation:

Simplifying

2x + -1x + 7 = x + 3 + 4

Reorder the terms:

7 + 2x + -1x = x + 3 + 4

Combine like terms: 2x + -1x = 1x

7 + 1x = x + 3 + 4

Reorder the terms:

7 + 1x = 3 + 4 + x

Combine like terms: 3 + 4 = 7

7 + 1x = 7 + x

Add '-7' to each side of the equation.

7 + -7 + 1x = 7 + -7 + x

Combine like terms: 7 + -7 = 0

0 + 1x = 7 + -7 + x

1x = 7 + -7 + x

Combine like terms: 7 + -7 = 0

1x = 0 + x

1x = x

Solving

1x = x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.

1x + -1x = x + -1x

Combine like terms: 1x + -1x = 0

0 = x + -1x

Combine like terms: x + -1x = 0

0 = 0

Simplifying

0 = 0

The solution to this equation could not be determined.

A bag contains colored tiles.
. 3 tiles are red
.6 tiles are green
. 3 tiles are blue
A lile will be randomly selected from the bag. What is the probability in decimal
form that the tile selected will be green?

Answers

Answer:

50%

Step-by-step explanation:

there are 12 total, half are green

A store discounted a the new iPhone by 10%. If the original price was $630, how much
was the discount? (How much was taken off the original price?)

Answers

Answer:

63

Step-by-step explanation:

630 x .1


I went to the store and bought 4 packs of nerds for $0.98 each and a pack of Little Debbie cakes for $2.15. How
much money did I spend?

Answers

Answer:

6.07

Step-by-step explanation:

$6.07 because .98x4 = 3.92 and 3.92 + 2.15= 6.07

Guys help me with this question please

Answers

Answer:

2/7

Step-by-step explanation:

From 8 am to 3 pm, there are 7 hours, and the price changed $2 (52 - 50 = 2)

In order to find the Change in price per hour, divide the total price change by the number of hours. (in most questions with the word "per", it is a division problem)

2$ / 7hrs = 2/7 dollars per hour

the answer is 2/7 if you work out the problem

Answer the question plz

Answers

6. 180 - 50 - 35 = 95
7. 360 - 70 - 80 - 85 = 125

Answer:

1) A- 95

2) B-  125

Step-by-step explanation:

1) 50 + 35+x = 180

85 +x = 180

x = 180- 85

 = 95

2) 70 +80 + 85+d = 360

235 + d = 360

d = 360 - 235 = 125

I Hope im right!

Whats your zodiac sign?

Answers

Answer:

cancer the worst

Step-by-step explanation:

Pisces ✨✨✨✨✨✨✨✨✨✨ lol

Help&EXPLAIN

Don’t use for points or will be reported and I’ll take the points back

Answers

Answer:

x = 122

Step-by-step explanation:

An exterior angle of a triangle = sum of the other two interior angles.

x = 90 + 32

x = 122

Write equivalent fraction with the given denominator.

Answers

Answer:

20/10

Step-by-step explanation:

2x10=20

Answer:

2 = 20/10

Step-by-step explanation:

The problem wants you to write a fraction that is equalavent to 2, but that has 10 as the denominator.  I chose 20, because 2 x 10 = 20.  

Write a division equation that represents the question: how many (3/8)s are in (5/4)
i need answers

Answers

Answer:

5/4 ÷ 3/8

Step-by-step explanation:

A TV originally priced at $800 was reduced to $600. What was the percentage discount given?

Answers

Answer:

20%

Step-by-step explanation:

20%off

800=100%
600=80%
100%-80%=20%

find the LCD for each set of rational expressions.
x/2x + 16 and -4x/3x - 27
please help!! fast!!

Answers

The answer is 377.2
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