Which equation is equivalent to startroot x squared 81 endroot = x 10? x 9 = x 10 x 9 = x2 20x 100 x2 81 = x2 100 x2 81 = x2 20x 100
The equation [tex]\rm \sqrt{x^2 + 81} = x + 10[/tex] is equivalent to [tex]\rm x^2 + 81 = x^2 + 20x + 100[/tex]. Then the correct option is D.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The equation is given below.
[tex]\rm \sqrt{x^2 + 81} = x + 10[/tex]
Squaring both sides, we have
[tex]\rm (\sqrt{x^2 + 81})^2 = (x + 10)^2\\\\x^2 \ \ +\ \ 81 \ \ = x^2 + 20x + 100[/tex]
Thus, the equation [tex]\rm \sqrt{x^2 + 81} = x + 10[/tex] is equivalent to [tex]\rm x^2 + 81 = x^2 + 20x + 100[/tex]. Then the correct option is D.
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
will 73 55 4 form a right triangle
Answer:
No.
Step-by-step explanation:
[tex]a^{2} +b^{2} = c^{2}[/tex]
4^2 is 16. 55^2 is 3025. 16 plus 3025 is 3041. 73^2 is 5329. 5329 does not equal 3041.
Hope this helped and have a great day
(Please brainliest)
Write the decimal 0.597 as a fraction.
Answer:
0/6
Step-by-step explanation:
Hope this helps I'm just typing rn bc it says it needs to be longer
I needa an answer?! It would really help <3
Thank you a lot!!!
Answer:
C. 2.865
Step-by-step explanation:
All you have to do in this situation is to subtract the amount he ran two weeks ago by the amount Thomas ran last week. It would look like so,
38.074 - 35.209
And once you do that you get the answer of 2.865
Hope that helps and have a great day!
-2(x-1) I need help????????
Answer:
-2x+2
Step-by-step explanation:
Answer:
-2x+2 because you would have to distribute
(07.01 LC)
What is the value of x in the equation −6 + x = −5?
A. 1
B. 11
C. −1
D. −11
Answer:
Option A
Step-by-step explanation:
Given the following question:
[tex]-6+x=-5[/tex]
Substitute the variable for any of the options and then solve.
[tex]-6+x=-5[/tex]
[tex]x=1[/tex]
[tex]-6+1=-5[/tex]
[tex]=-5[/tex]
Your answer is "1" or option A.
Hope this helps.
When the doctor evaluates the nares, what finding could not be appreciated?
Answer:
Heart sounds
Step-by-step explanation:
Your doctor has allergic reaction, febrile rash, and meningitis in their differential for the patient.In a healthy adult, the heart makes two sounds, commonly described as 'lub' and 'dub. ' The third and fourth sounds may be heard in some healthy people, but can indicate impairment of the heart function. S1 and S2 are high-pitched and S3 and S4 are low-pitched sounds.Which numbers can be classified as rational? Select all that apply.
A. 5/6
B. √11
C. 6.565656...
D. 0.23
E. 0.32416...
F. -5 3/8
Answer:
Step-by-step explanation:
5/6 is the very definition of rational. It is a fraction.
C can found to be rational.
100 x = 656.56565656...
x = 6.56565656... Now subtract the 2
99x = 650 Divide by 99
x = 650 / 99
D is rational
23/100 = 0.23
I'm not sure about E. It should show some repeat taking place. Then we'd know.
F is rational
-5 3/8 = -43/8 which is rational.
Answer: A C D F and perhaps E
Which of the following is an equation in one variable?
2x + 2y
x + 2 = 4
8 = x
4 + x / 3
(x - 8) / 3 = 9
5x = 10
x + 2 = 4
5 x = 10
because 1st one is not an equation
3rd , 4th and 5th also
List all the angles that are congruent to the given angle (72 degrees).
1/2
72°
3
d
4/5
7/6
HELP!
Answer:
<2, <5, and <7.
Step-by-step explanation:
<2 and 72°, are vertical angles. Vertical angles are congruent. Therefore, <2 ≅ 72°.
<7 and 72° are corresponding angles. Corresponding angles are congruent, therefore, <7 ≅ 72°.
<5 and 72° are alternate interior angles. Alternate interior angles are congruent, therefore, <5 ≅ 72°.
Angles that are congruent to 72° are <2, <5, and <7.
In the addition problem below, the digits B and C represent a number different from any of the other numbers shown (that is, not 1, 4, 5, 6, or 9. B5+C9=164
B5 + C9 = 164
Split the numbers.
B0 +C0 +14 = 164.
B0 + C0 = 150
B + C = 15
B cannot be 1, 2, 3, 4, or 5 because that forces C to be a two digit number and C only represents 1 digit.
B cannot be 6 or 9 because they are present.
B can only be 7 or 8. C can also be 7 or 8.
Therefore, B = 7 and C = 8, OR B = 8 and C = 7.
Nancy made 20 ounces of a snack mix that was 1/5 peanuts, 30% raisins, and 5 ounces of chocolate chips. the rest was granola how many ounces of granola were in Nancy's snack mix?
Answer:
5
Step-by-step explanation:
First of all, we have a lot of different forms of part/whole's. We have a fraction, a percentage, and a number. How do we make this work???
Let's convert our percent and fraction to ounces, because that is what the question is talking about.
1/5 of 20
1/5=x/20
20=5x
/5 /5
4=x
Now lets convert our percent into ounces.
30% of 20
30/100=x/20
30(20)=100x
600=100x
/100 /100
6=x
Now we have our ounces, we now need to find what is the granola. To do that, we need to add the number of everything else, and then subtract that by the total ounces.
4+6+5=15
20-15=5
The answer would be 5 ounces of granola!
Evaluate 2x^3+4x-5 when x=3
Answer:
61
Step-by-step explanation:
PAOBLEM 1:
The angle of elevation from a boat to the top of a lighthouse is 25°.
The lighthouse is 150 feet tall. What
is the distance from the boat
to the lighthouse?
(1
150 ft
25°
А
х
Answer:
150ft
Step-by-step explanation:
The distance from the boat to the lighthouse 321.67 ft.
What is Trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled.
Given that, The angle of elevation from a boat to the top of a lighthouse is 25°, the lighthouse is 150 feet tall.
Let the distance from the boat to the lighthouse be x
tan25° = 150/x
x = 150/tan25°
x = 321.67
Hence, the distance from the boat to the lighthouse 321.67 ft.
For more references on Trigonometric ratio, click;
https://brainly.com/question/25122825
#SPJ2
need help asap !!!!!
Answer:
61
Step-by-step explanation:
the angle of 119 degrees is equal to the angle on the angle on the exterior of the question mark. So all you gotta do is subtract 180-119
Refer to the equation y = 3x – 5.
(a)Complete the table of values below. Show your work.
x y
-1
0
1
(b) Identify the slope and y-intercept of the equation.
slope =
y-intercept =
The equation y = 3x - 5 is an illustration of a linear equation
The slope is 3, and the y-intercept is -5
How to complete the table?The equation of the table is given as:
y = 3x - 5
When x = -1, we have:
y = 3(-1) - 5 = -8
When x = 0, we have:
y = 3(0) - 5 = -5
When x = 1, we have:
y = 3(1) - 5 = -2
So, the complete table is:
x y
-1 -8
0 -5
1 -2
The slope and the y-interceptA linear equation is represented as:
y = mx + b
Where:
m represents the slope and b represents the y-intercept.
By comparison, we have:
m = 3, and b = -5
Hence, the slope is 3, and the y-intercept is -5
Read more about linear equations at:
https://brainly.com/question/14323743
Help me pleaseeeeeeeeeee
Answer:
X= -10
Step-by-step explanation:
Answer:
Angle Relationship: Alternate exterior angles
x = -10
Angle measurement: 51 °
Step-by-step explanation:
These angles are located "outside" the two parallel lines but on opposite sides of the transversal, therefore they are alternate exterior angles.
Alternate exterior angles are congruent, therefore the angle must be 51 °
51 = 61 + x
subtract 61 from both sides
x = 10
What did you include in your response? check all that apply. an intercept can be found by letting d = 0 in the equation and solving for q, or by letting q = 0 in the equation and solving for d. the bank could be filled with 54 quarters and no dimes. the bank could be filled with no quarters and 135 dimes.
Answer:
if this is on edge just choose all of them
can iget some help on this pls
Answer:
-2 1/3
Step-by-step explanation:
i hope this helps you!
Joni climbed 230 feet up a hill and then rappelled down 300 feet into a valley.
Write an addition expression to represent the situation
Answer:
230-300= -70
All you have to do is subtract :)
Samantha’s college runs on a trimester schedule so she receives a bill 3 times a year for tuition. each trimester costs $1,450, and samantha must complete 2 years of college to receive her degree. the average cost for books each trimester is $350. approximately what will be the total cost for samantha to get her degree? a. $4,700 b. $5,400 c. $9,050 d. $10,800 please select the best answer from the choices provided a b c d
Answer:
the answer is 4,700
Step-by-step explanation:
12-(X+9) and 12-x-9*
A: Yes, they are equivalent
B: No, they're not equivalent
Answer:
A Yes, they are equivalent
Step-by-step explanation:
12-(X+9)= -x+3
12-x-9=-x+3
In the number 38. 7165, what number is in the hundredths position?
Answer:
1
Step-by-step explanation:
Your answer is 1 because hundredths position is the second number after the decimal other answers include.
Ten=3
Ones place=8
Tenths place=7
Thousandths place=6
Hundred thousandths=5
Hope it helps have a great day:)
round 765,903 to the nearest thousand
Answer:
766,000
Step-by-step explanation:
The thousands place is the 5 in 765,903. Because the hundreds place is 5 or above, the thousands place should be rounded up.
solve the equation
−9q + 2 = −16
A: -2
B: -14/9
C: 14/9
D: 2
Answer:
Answer should be 2
Step-by-step explanation:
helppppppppppppppppppppp
Hey there!
The first expression is
5x+15
The equivalent expressions are
5(x+3)
- the opposite of the Distributive Property: 5(x+3)=5x+15
Plus
isn't 5*x+5*3 the same as 5x+15?
Yeah, it is :)
Hence, the equivalent expressions are
[tex]\boxed{\boxed{\bold{Option\;A \;and\;Option\;B}}}[/tex]
[tex]\rule{200}{2}[/tex]
In order to simplify this expression, we need to combine like terms:
11+12y-3-y
The y's are like terms:
11+12y-y-3
11+11y-3
Can you spot any other like terms here? That's right, 11 and -3:
11-3+11y
8+11y
Hence, the equivalent expression is
[tex]\boxed{\boxed{\bold{11y+8}}}[/tex]
Hope everything is clear.
Let me know if you have any other questions; if so, please comment.
#LearningDoesn'tEnd
#LearningIsFun
What are the dimensions of a rectangular wall that can be constructed with 100 feet of brick that will maximize the area enclosed by that brick?
Answer:
Step-by-step explanation:
25ft x 25ft
Maximum Area with Fixed Perimeter
In order to have a perimeter of 100 feet, that means that each side needs to be 25 feet long. The area would then be 25ft x 25ft, or 625ft2.
Find the value of 'x' from the given figure:
Answer:
the exact answer is in decimal ... 15.714 is the value of x
1. Karen has a square cartolina whose sides measure 60
cm each. She cuts the cartolina into two equal rectangles.
Find the perimeter of one piece of rectangle.
2. A rectangle has a length of 30 cm and a width smaller
by 5 cm. What is its perimeter?
If Karen cut her square cardboard into two equal rectangles, the perimeter of those rectangles is 180cm. On the other hand, if the rectangle is 25 cm wide, the perimeter would be 110 cm.
What is the perimeter of a geometric figure?
The perimeter of a geometric figure is the measure of the length of all its sides. In this case, if Karen has a square of cardboard with a side of 60cm, it can be inferred that she would have two rectangles with a height of 30cm and a base of 60cm, so the perimeter would be:
30cm + 60cm + 30cm + 60cm = 180cmOn the other hand, if the rectangle has a base of 30cm and a height of 25cm, the perimeter would be:
25cm + 30cm + 25cm + 30cm = 110cmLearn more about perimeter in: https://brainly.com/question/6465134
X/4+7=3
Test answer!!
Answer:
-16
Step-by-step explanation:
you have to first subtract 7 from 3 to get -4. then multiply 4 with -4 to get -16.
Answer:
[tex] \frac{x}{4} + 7 = 3 \\ or \: \frac{x}{4} = 3 - 7 \\ or \: \frac{x}{4} = - 4 \\ or \: x = - 4 \times 4 \\ or \: x = - 16 \\ \\ therefore \: the \: value \: of \: x \: is \: - 16.[/tex]