Solve for x. Choose the best simplified radical answer where applicable. NO LINKS!!

Answers

Answer 1

Answer:

d. x = 10 (the correct answer is marked)

Step-by-step explanation:

The Pythagorean theorem tells you the sum of the squares of the sides of a right triangle is the square of the hypotenuse.

x² +4² = (2√29)²

x² +16 = 116 . . . compute the squares

x² = 100 . . . . subtract 16

x = 10 . . . . take the square root

Answer 2

Answer:

d) [tex]\sf x=10[/tex]

Step-by-step explanation:

Pythagoras' Theorem: [tex]\sf a^2+b^2=c^2[/tex]

(where [tex]\sf a[/tex] and [tex]\sf b[/tex] are the legs, and [tex]\sf c[/tex] is the hypotenuse, of a right triangle)

Given:

[tex]\sf a=4[/tex][tex]\sf b=x[/tex][tex]\sf c=2\sqrt{29}[/tex]

Substituting these values into the equation and solving for [tex]\sf x[/tex]:

[tex]\sf \implies 4^2+x^2=(2\sqrt{29})^2[/tex]

[tex]\sf \implies 16+x^2=116[/tex]

[tex]\sf \implies x^2=116-16[/tex]

[tex]\sf \implies x^2=100[/tex]

[tex]\sf \implies x=\pm \sqrt{100}[/tex]

[tex]\sf \implies x=\pm10[/tex]

Since distance is positive, [tex]\sf x=10[/tex] only

Therefore, the answer is d) [tex]\sf x=10[/tex].

Related Questions

On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a negative slope and has a formula of y = negative x. The parallelogram has points G (negative 2, negative 3), F (1, negative 3), E (negative 1, negative 5), and H (2, negative 5).

What are the coordinates of the image of vertex F after a reflection across the line
y = –x?

A. (–1, –3)
B. (3, –1)
C. (1, 3)
D. (–3, 1)

Answers

Answer:

B. (3, –1)

Step-by-step explanation:

Reflection in the line y=-x is described by the transformation ...

(x, y) ⇒ (-y, -x)

Then the point of interest becomes ...

F(1, -3) ⇒ F'(3, -1) . . . . matches choice B

Answer:

The correct answer is B

Step-by-step explanation:

This is correct because it is correct

Your teacher asks the class to evaluate the expression (3³)¹. Your classmate gives an incorrect answer of 81. Evaluate the expression. Then find the likely error.

Answers

The most likely error is that, the student multiplied 27 by 3, after the first computation

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to determine the error in the calculation?

The expression is given as

(3^3)^1

As a general rule, we start by evaluating the expression in the inner bracket

So, we have

(3^3)^1 = (3 x 3 x 3)^1

Evaluate the products

So, we have

(3^3)^1 = (27)^1

Next, we evaluate the exponent

So, we have

(3^3)^1 = 27

The above implies that the value of the expression is 27 and not 81 as the student solved

The most likely error is that, the student multiplied 27 by 3, after the first computation

Hence, the value of the expression is 27 and not 81 and the most likely error is that, the student multiplied 27 by 3, after the first computation

Answers

To find the slope, we must know the equation

--> [tex]slope = \frac{y2-y1}{x2-x1}\\[/tex]

Now using the information given, (-2,1) and (2,6), let's plug that into the equation

--> [tex]slope = \frac{6-1}{2--2} = \frac{5}{4}[/tex]

In this case, the slope is 5/4

Hope that helped!

Answer:

[tex]\rn\hookrightarrow 5/4[/tex]

Step-by-step explanation:

[tex]Solution,\\\\Let,\\(x_1,y_1)=(-2,1)\\\\(x_2,y_2)=(2,6)\\\\Now,\\\\\rn\hookrightarrow Slope=\frac{y_2-y_1}{x_2-x_1}\\\\\rn\hookrightarrow Slope=\frac{6-1}{2-(-2)} \\\\\rn\hookrightarrow Slope=\frac{5}{4}[/tex]

A population of beetles are growing according to a linear growth model. The initial population (week 0) is
P
0
=
5
, and the population after 7 weeks is
P
7
=
47
.
After how many weeks will the beetle population reach 113?

Answers

9514 1404 393

Answer:

18 weeks

Step-by-step explanation:

We are given the (time, population) pairs (0, 5) and (7, 47). With these values, we can use the two-point form of the equation of a line to write the equation of the linear model.

p = (p2 -p1)/(t2 -t1)(t -t1) +p1

p = (47 -5)/(7 -0)(t -0) +5

p = 6t +5 . . . . . the linear model matching the given points.

For p = 113, the time (number of weeks) is ...

113 = 6t +5

108 = 6t . . . . . . subtract 5

18 = t . . . . . . . . . divide by 6

After 18 weeks, the beetle population will reach 113.

(HELP) What is the length of xy in xyz?

Answers

Answer:

xy=6

Step-by-step explanation:

sin θ= opposite side÷ hypotenuse

sin 30°= xy÷12

sin 30°=1/2

Therefore,

1/2=xy÷12

1/2×12=xy

xy=6

On her way home from work, Sandra fills up her car. She likes the idea of using gasoline with ethanol, but thinks her car can only handle 30% ethanol. At the gas station, she can use regular gas with 10% ethanol or E70 fuel with 70% ethanol.

How many gallons of each type of fuel should Sandra use if she wants to fill up her car with 9 gallons of fuel containing 30% ethanol?

Answers

Answer:

6 gallons of 10% ethanol gas and 3 gallons of the E70 fuel.

Step-by-step explanation:

Let the volume of 10% ethanol gas be x gallons and the volume of 70% be y gallons.

The resulting mixture ( 9 gallons) must have a strength of 30% ethanol.

SO WE HAVE THE SYSTEM:

x + y = 9

0.10x + 0.70y = 0.30 * 9

0.10x + 0.70y = 2.7

Multiplying the first equation by -0.10:

-0.10x - 0.10y = -0.9

Adding the last 2 equations:

0 + 0.60y = 1.8

y = 1.8 / 0.6 = 3 gallons.

So x = 9 - 3 = 6 gallons.

6 gallons of 10% ethanol gas and 3 gallons of the E70 fuel.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Let the volume of 10% ethanol gas be x gallons and the volume of 70% be y gallons.

The resulting mixture ( 9 gallons) must have a strength of 30% ethanol.

x + y = 9

0.10x + 0.70y = 0.30 * 9

0.10x + 0.70y = 2.7

Multiplying the first equation by -0.10:

-0.10x - 0.10y = -0.9

Adding the last 2 equations:

0 + 0.60y = 1.8

y = 1.8 / 0.6 = 3 gallons.

So x = 9 - 3 = 6 gallons.

To know more about an expression follow

https://brainly.com/question/17277463

#SPJ2

ts
Find the quotient.
5
14)154
O 10
O 10.5
O 11
O 11.7

Answers

Answer:11/c

Step-by-step explanation:

What is the distance from m(-1,6) to n(11,1)

Answers

Soln:

Let m(-1,6) be (x1, y1) & n(11,1) be (x2, y2).

Now,

Use distance formula and calculate it

20 - (+7) + - (6) = whats the answer

Answers

20 - (+7) + - (6)

Answer: 7

Answer:

Answer is 7

20-(+7)+(-6)= ?

(20-7)-6

13-6

please help on number 5 and 6 i’ll give 15 points

Answers

5.) yes it is possible if the lines are parallel because they won’t intersect

skew lines can be drawn in three dimensional plane only.

(6 points) which answer describe the shape below? Check all that apply

Answers

A, B, and D I believe. Tell me if I’m incorrect. Hope this helps. Good luck in your learning journey

Twice the sum of a number and 9 is 30.

Slove equation

Answers

Answer:

6 and 9 twice is 30

Step-by-step explanation:

6 plus 9 is 15 twice is 30

Answer:

10.5

Step-by-step explanation:

30 - 9 = 21

21 ÷ 2 = 10.5

What is the slope of the line that passes through the points (-8, -6) and (-8,4)?
Write your answer in simplest form.

Answers

(-8,-6)(-8,4)

[tex]\\ \rm\rightarrowtail m=\dfrac{4+6}{-8+8}[/tex]

[tex]\\ \rm\rightarrowtail m=10/0[/tex]

Parallel to x axis

[tex]\\ \rm\rightarrowtail m=\infty[/tex]

Simplify the following expression

Answers

Answer:

Step-by-step explanation:

Need help with math probelm if do 5 stars and brainly points

Answers

Answer:

63 units^2

Step-by-step explanation:

the area of the rectangle is 48 units^2

l*h=a

6*8=a

48=a

The area of the triangle is 15 units^2

b*h/2=a

6*5/2=a

30/2=a

15=a

Let me know if you have any further questions, hope this helped!

Try This question out and I’ll give you brainliest

Answers

Answer:

7/12ths

Step-by-step explanation:

2/3rds of the way full would be 8/12. Since she started at 1/12th of a tank, 7/12ths was added. (:

The Answer Is 7/12ths

a) Write down the value of angle x.
b) Write down the value of angle y.

HELP PLS

Answers

Answer:

A) is 49 degrees and B) is 63

Step-by-step explanation:

they are kinda like mirrors

X is 49 and y is 63 degrees

Help help math math ASAP

Answers

Answer:

y equals to x plus 9

Step-by-step explanation:

-x+y=9

so, y=x+9

The formula of the diameter, radius, and area of a circle.

Answers

Answer:

Step-by-step explanation:

diameter = 2r
radius = C/2π
area = πr^2

Rendell cycles 42 km at an average speed of 18 km/hr. Find the time taken, giving your
answer as a fraction of an hour in its simplest form.

Answers

Answer:

[tex]\frac{7}{3}[/tex]

Step-by-step explanation:

42/18=[tex]\frac{7}{3}[/tex]

Rendell took 2.34 hr to cycle 42 km.

Rendell cycles 42 km at an average speed of 18 km/hr.
Distance = 42 km
Speed = 18 km/hr

What is speed?

Speed is define as the distance covered per unit time,

Here,
Time = Distance / speed
= 42 / 18
= 2.34 hr

Thus, Rendell took 2.34 hr to cycle 42 km.

Learn more about speed here:
https://brainly.com/question/7359669

#SPJ2

the length of a rectangle is 4 times it’s width. The rectangle has an area of 1024cm squared

Answers

[tex]Your answer it W^2 = 1024/4 = 256.[/tex]

Step-by-step explanation:

A vertical wall AB which is 5m high was built on level ground. The distance of a point C on the ground from the base of the wall is 12m. Calculate the distance from the top of the wall to the point C..

Answers

It’s best to draw a triangle and label each point and write the known sides. Then use the Pythagorean Theorem to find the missing side. The distance from the top of the wall, which is point A to point C is 13 m.

If y(x) = 4x, what is x when y(x) = 4?

Answers

Replace y(x) with 4:

4 = 4x

Divide both sides by 4:

x = 1

Cube the following numbers.
a. 1
b. 2
c. 4
d. 8

Answers

Answer:

I need to know the equation, but if you have to cube them then you will find your answer right away if you google how to cube numbers.

Step-by-step explanation:

Sorry for the bad answer.

A graduate student is performing a study on a new anti-anxiety drug. The drug is supposed to reduce anxiety, but the graduate student realizes that it may do nothing or even increase anxiety, so he decides to formulate non directional hypotheses and conduct a two-tailed test. He knows that the average score for all anxious people is μ₀ = 100, with a standard deviation of σ = 14. If he designates the mean for the population of anxious people who take the anti-anxiety drug as μ anti-anxiety drug anti-anxiety drug , he can identify the null and alternative hypotheses as:

Answers

Answer:

hello your question is incomplete attached below is the complete question

Answer : The standard deviation of the scores on the anxiety inventory is the same for those who take the anti-anxiety drug and those who don't

Step-by-step explanation:

average score for anxious people = 100

standard deviation = 14

mean of anxious people who take the anti-anxiety drug

null hypothesis ( H ) =

Alternate hypothesis ( H1 ) ≠

using the z- test ( hypothesis test ) the condition that is not required is the condition that

The standard deviation of the scores on the anxiety inventory is the same for those who take the anti-anxiety drug and those who don't

find the area of a triangle if do math problem 5 stars and brainly points

Answers

Answer:

Step-by-step explanation:

area of a triangle = 1/2 ( base length * height )

given base length : 6

given height : 8

area of triangle = 1/2(8*6)

==> multiply 8 and 6

area of triangle = 1/2(48)

==> multiply 1/2 and 48

area of triangle = 24 square units

Given f(x) = 3x - 5 and g(x) = -2x + 1, find h(x) = f(x) - g(x)

Answers

Answer:

h(X)=5x-6

Step-by-step explanation:

Fill in variables with corresponding equations.

h(X)=(3X-5)-(-2X+1)

Distribute the - sign to (-2X+1)

h(X)=3X-5+2X-1

Add and subtract values together to find answer

h(X)=5X-6

13. Find the area of the triangle given a = 14, b = 9, and C = 66 degrees. Round your answer to the nearest tenth.

14. Find the area of the triangle given a = 38, b = 31, and C = 29 degrees. Round your answer to the nearest tenth.

15. Find the area of the triangle given b = 17, c = 19, and A = 135 degrees. Round your answer to the nearest tenth.

Answers

Answer:

13) 57.6 units²

14) 285.6 units²

15) 114.2 units²

(All answers rounded off to the nearest tenth)

Step-by-step explanation:

Please see the attached picture for the full solution.

help me please if that's okay , thank you sm

Answers

Answer:

9. is true

10. is false

hope this helps

Step-by-step explanation:

9 is true and 10 is true as well

Allison spent a total of $16.20 for lunch including tax and a tip. She paid 8% sales tax on her purchase and then left a tip equivalent to 20% of her total bill including tax. What was the cost of Allison’s meal, before tax and tip?

Answers

Answer:good job!

Step-by-step explanation:

Step-by-step

Other Questions

According to the passage, some immigrants were detained at Ellis Island for more examinations. How does the quotation from Angelo Pellegrini develop this topic?It provides an interesting firsthand experience of an immigrant whose sister was indeed momentarily rejected because she had been sick and had bloodshot eyes.It provides an interesting firsthand experience of an immigrant who had a few hours rests and a little bite to eat.It provides an interesting firsthand experience of an immigrant whose mother was an indomitable spirit.It provides an interesting firsthand experience of an immigrant who did get through Ellis Island. resumen jesus de nazaret pelicula How are conifers classified? (Select all that apply.)a nonvascular planta type of ferndoes not have seedshas seedsa type of gymnosperma vascular plant At the end of Act I of The Tragedy of Macbeth, what is Lady Macbeths plan? A. She wants Macbeth to challenge King Duncan's right to the throne. B. She will put poison in the wine she serves King Duncan. C. She and Macbeth will kill King Duncan and his men as they sleep. D. She will flatter King Duncan and convince him to name Macbeth his successor. how would more food lead to increased population What led to conflict between the Indignous Americans and the English colonists? If Rindou has 20 apples and Ran has 48 apples,how old is Rindous dog ? A planting bed contains 0.75 tons of soil. A landscaper will apply fertilizer to the bed. The directions say to apply 1 ounce of fertilizer for every 100 pounds of soil.How many ounces of fertilizer should the landscaper apply? Refer to the passage."Beder [Delhi] is the chief town of Mahomedan Hindostan [Muslim-controlled India]; the city is large, and contains a great many people.The sultan (of Beder) is a little man, twenty years old, in the power of the nobles. Khorassanians [Central Asians] rule the country and serve in war. There is a Khorassanian Boyar [Central Asian prince], Melik-Tuchar, who keeps an army of 200,000 men; Melik Khan keeps 100,000; Kharat Khan, 20,000, and many are the khans that keep 10,000 armed men.The sultan goes out with 300,000 men of his own troops.The land is overstocked with people; but those in the country are very miserable, whilst the nobles are extremely opulent and delight in luxury.Russian merchant Afanasy Nikitin, describing the Delhi sultanate in the 1400sThe Delhi sultanate imposed which of the following forms of government?Elite oligarchyCentralized ruleFeudal vassalageAbsolute monarchy If Ill m, solve for x and y.(7y - 20" (5x - 38)(3x - 4) The third movement of Vivaldi's La Primavera reverts to the bright, cheerful tonality of the first movement by returning to a ______. Define the following terms: nucleus, organelle, DNA. Which of the following about carbon sinks is not true? a. They emit more carbon than they take in. B. They take in more carbon they emit. C. They store carbon from the atmosphere. D. They include oceans and forests. Please select the best answer from the choices provided A B C D. Our school starts at 10 o'clock change into when question Pls Help Asap. Please, will mark BRAINLIEST What was Spain's goal during the French and Indian War? O to help the colonies defeat Britain Oto gain control of northern territories Oto claim territories in Florida Oto ensure France did not expand into the West Select the correct answer.Dax is running for president of the student government in the upcoming school election. He wants to write a speech that informs students about the important ways he differs from his opponent on important school issues. Which text structure would best help Dax achieve his purpose?A. compare-contrastB. cause-effectC. chronologicalD. problem-solution Chapter 3 Question: What was produced during the reaction between the iron pipes and the fertilizer?Claim 1: During the chemical reaction, only the rust was produced.Claim 2: During the chemical reaction, the rust and another substance were produced.write an argument and Explain to the people of Westfield what is in their water. Drag each tile to the correct box.Identify the order in which these events occurred leading up to the end of the Cold War.Evil Empire speechfall of the Berlin WallSoviet coupSoviet invasion of Afghanistan In which region did almost all people live in rural areas?New Englandthe middle coloniesthe southern colonies

Solve for x. Choose the best simplified radical answer where applicable. NO LINKS!!​

Answers

Related Questions

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Solve for x. Choose the best simplified radical answer where applicable. NO LINKS!!