What is the value of x in the diagram below?
X + 2
8.
х

What Is The Value Of X In The Diagram Below?X + 28.

Answers

Answer 1

Answer:

15

Step-by-step explanation:

Using the Pythagorean theorem,

[tex]x^2 +8^2=(x+2)^2[/tex]

we can simplify 8 squared to 64, and we can use FOIL to expand x plus 2 squared.

[tex](x+2)(x+2)=x^2+4x+4[/tex]

We have

[tex]x^2+64=x^2+4x+4[/tex]

We can subtract x squared plus four from both sides to get

[tex]60=4x[/tex]

Dividing by 4, we get [tex]x=15[/tex]

Answer 2

Answer:x=15

Step-by-step explanation:

remember the Pythagorean Theraum(sorry about spelling)

a^2 +b^2=c^2

the shortest is a^2 , b^2 is the second shortest, and c^2 is the hypotenuse, or the longest.

currently the hypotenuse (c^2)is x+2, (b^2) is x, and a^2 is 8

8x8=64

64+x^2=(x+2)^2

try solving it now.

64+15^2=(15+2)^2

289=289

So, x=15


Related Questions

Select the relationship that does represent a function.

Answers

Answer:

c

Step-by-step explanation:

Ronald's home is located 33 miles west and 56 miles north from his hotel. Find the distance from his hotel to his home.

Answers

89 miles if you add it up

The distance from his hotel to his home is 89 miles.

What is the distance?Distance is defined as an object's entire movement without regard for direction. The distance can be defined as how much ground an object has covered regardless of its starting or ending place.The quantity of space between two things, or the state of being far apart, is defined as distance. A five-foot gap between two tables is an example of distance. The disparity between two sides of an issue is an example of distance.Solution -

Given - Ronald's home is located 33 miles west and 56 miles north of his hotel.

To find the distance between Ronald's hotel to his home, add the distance.

∴ [tex]33 + 56 = 89[/tex]

Therefore, the distance from his hotel to his home is 89 miles.

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Need helppppp asappp

Answers

8 and 4 are the answers! :)

Rationalise the denominator as per necessary and simplify.​

Answers

Answer:

[tex]8\sqrt{7}[/tex]

Step-by-step explanation:

[tex]\frac{21}{\sqrt{7} } * \frac{\sqrt{7} }{\sqrt{7} }[/tex] = [tex]\frac{21\sqrt{7} }{7}[/tex]

[tex]\frac{21\sqrt{7} }{7}[/tex] = [tex]\frac{147\sqrt{7} }{14}[/tex]

[tex]\frac{147\sqrt{7} }{14} - \frac{35\sqrt{7} }{14}[/tex]

[tex]\frac{112\sqrt{7} }{14}[/tex]

[tex]8\sqrt{7}[/tex]

Write the expression as a single function of alpha.
cos(180°-alpha)

Answers

Answer:

-cos α

is the answer-------


A ladder leans against the side of a house. The angle of elevation of the ladder is 68° when the bottom of the ladder is 12 ft from the
side of the house. Find the length of the ladder. Round your answer to the nearest tenth.

Answers

Answer:

open degrees

Step-by-step explanation:

because I am added all the numbers so it comes

I can't understand that question

Part A: The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 1.55 ⋅ 107 seconds? (5 points)

Part B: Which is the more reasonable measurement of the diameter of a human hair:
1.8 ⋅ 10−2 mm or 1.8 ⋅ 102 mm? Justify your answer. (5 points)


Please Explain.

Answers

Part A: The amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s  is 6.045 × 10⁴⁰ ergs.

Since the sun produces 3.9 × 10³³ ergs of radiant energy per second, which is  a rate, r = 3.9 × 10³³ ergs/s.

We require the amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s.

So, this heat Q = rate × time

Q = rt

Substituting the values of r and t into the equation, we have

Q = 3.9 × 10³³ ergs/s × 1.55 × 10⁷ s

Q = 6.045 × 10³³ × 10⁷ ergs

Q = 6.045 × 10⁴⁰ ergs

So, the amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s  is 6.045 × 10⁴⁰ ergs.

Part B: The measurement of the diameter of human hair 1.8 × 10⁻² mm is more reasonable.

Since 1.8 × 10⁻² mm = 1.8  × 10⁻² mm  ×  1cm/10 mm = 1.8  × 10⁻³ cm (since 10 mm = 1 cm) and

1.8 × 10² mm = 1.8 × 10² mm × 1 cm/10 mm = 1.8 × 10 cm = 18 cm (since 10 mm = 1 cm)

Since the human hair is small and its diameter of human hair cannot be 18 cm since 18 cm is a large diameter, then the diameter of the human hair has to be 1.8  × 10⁻³ cm = 1.8  × 10⁻² mm which is a small value.

So, measurement of the diameter of human hair 1.8 × 10⁻² mm  is more reasonable.

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Answer:

WAS THE OTHER ANSWER CORRECT????

Step-by-step explanation:

x + y = 10 . If y = 8, find the value of x

Answers

Answer:

2

Step-by-step explanation:

x + y = 10

y = 8

Substituting in equation,

x + 8 = 10

=>x = 10 - 8

=>x = 2

Solve The Equation Below

Answers

Answer:

16

Step-by-step explanation:

10 + sqrt(y) = 14

Subtract 10 from each side

10 -10+ sqrt(y) = 14-10

sqrt(y) = 4

Square each side

(sqrt(y)) ^2 = 4^2

y = 16

Hello!

[tex]10 + \sqrt{y} = 14 \\ \sqrt{y} = 14 - 10 \\ \sqrt{y} = 4 \\ y = 16[/tex]

A is the answer.

Good studies!

If f(x)= 2x^2+1, what is f(x) when x=3

Answers

Hey there!

f(x) = 2x^2 + 1

y = 2x^2 + 1

y = 2(3)^2 + 1

3^2

= 3 * 3

= 9

y = 2(9) + 1

2(9) = 18

y = 18 + 1

y = 19

Answer: y = 19

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The answer is:

f(3) = 19

Work/explanation:

To evaluate the function, I plug in 3 for "x" :

[tex]\rm{f(x)=2x^2+1}[/tex]

[tex]\rm{f(3)=2(3)^2+1}[/tex]

Then, I square 3:

[tex]\rm{f(3)=2\times9+1}[/tex]

Take caution here; we do not add 9 + 1, we multiply 2 times 9 first, and only then, we add 1.

[tex]\rm{f(3)=18+1}[/tex]

[tex]\rm{f(3)=19}[/tex]

Hence, the answer is f(3) = 19.

Find the circumference

Answers

Answer:

90 units

Step-by-step explanation:

circumference C = 2 [tex]\pi[/tex]r

taking [tex]\pi[/tex] as 3.

C = 2 × 3 × 15

(15 is the radius of the circle)

C = 90 units

Answer:

90

Step-by-step explanation:

The Answer will be 90 because Pie is being replaced with 3, so it would be like 2(3)(15) which equals to 90.

But If Pie remains pie the equation would look like (2)(3.14)(15) which would turn out to be 94.2

List the angles in order from the smallest to the largest.
A. T, R, S
B. S, T, R
C. S, R, T
D. T, S, R

Answers

Answer:

A. T,R,Snhjiooooogfderyyffddt

I think the answer is C.

S,R,T

I need help what’s the answer?

Answers

The answer is $18 of profit. To find the answer I did 36-18= 18, 54-36=18 and so on.

Answer:

Step-by-step explanatiobxbsbsx

xbsbxs sbsbx

bxbxb xx xgsgsywubxhshs bxhx ss

bx bx sh bxsh sxhssbxhs

can i get some help. did it 3 times and still not sure.

Answers

Answer:

18

Step-by-step explanation:

The height of the cone is 8, and the diameter is 3. This means that the radius is 3/2, or 1.5. We can plug everything into the formula (using 3 for pi):

[tex]\frac{3(1.5)^2(8)}{3}[/tex]

We can cancel out the 3 from the numerator and the denominator, so we are left with 1.5^2 times 8. 1.5 squared is equal to 2.25, and 2.25 times 8 is equal to 18.

Does anyone know how to do these?

Answers

Answer:

D.

Step-by-step explanation:

f(x) = [tex]\sqrt[3]{4x}[/tex]

g(x) = 2x + 3

[tex]\frac{f}{g}[/tex] (x)  = 'f' divided by 'g'

[tex]\frac{\sqrt[3]{4x} }{2x+3}[/tex]    Substitute.

x cannot be -[tex]\frac{3}{2}[/tex] because that would create a zero in the denominator.

That's a no-no.

It makes it 'undefined'

Find the value of x^3 + y^3 + z^3 – 3xyz if x^2 + y^2 + z^2 = 83 and x + y + z = 15​

Answers

Answer:

180

Step-by-step explanation:

Consider the equation x + y + z = 15

From algebraic identities, we know that (a + b + c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca)

So,

(x + y + z)^2 = x^2 + y^2 + z^2 + 2(xy + yz + xz)

From the question, x^2 + y^2 + z^2 = 83 and x + y + z = 15

So,

152 = 83 + 2(xy + yz + xz)

=> 225 – 83 = 2(xy + yz + xz)

Or, xy + yz + xz = 142/2 = 71

Using algebraic identity a³ + b³ + c³ – 3abc = (a + b + c)(a² + b² + c² – ab – bc – ca),

x3 + y3 + z3 – 3xyz = (x + y + z)(x² + y² + z² – (xy + yz + xz))

Now,

x + y + z = 15, x² + y² + z² = 83 and xy + yz + xz = 71

So, x^3 + y^3 + z^3 – 3xyz = 15(83 – 71)

=> x^3 + y^3 + z^3 – 3xyz = 15 × 12

Or, x^3 + y^3 + z^3 – 3xyz = 180

Answered by GAUTHMATH

Which of the following could be the first step in solving the equation below ? 5 ^ x = 21

Answers

Answer:

D

Step-by-step explanation:

usually when your variable is an exponent you always take the log of both sides.

The possible first step of solving the equation is log 5^x = log 21

How to determine the first step?

The equation is given as:

5^x = 21

Take the logarithm of both sides of the equation

log 5^x = log 21

The above represents the possible first step of solving the equation

Hence, the possible first step of solving the equation is log 5^x = log 21

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Answers

Answer:

3x-7y and -7y+ 3x

Step-by-step explanation:

3x +  (-7y) = (-7y) + 3x

Answer:

Step-by-step explanation:

The first set of expressions are equivalent; they are identical except for order of the terms.

Carol wants to build a fence around her
garden to prevent rabbits from eating the
plants. The fencing costs $15 per metre.
How much will it cost to enclose a square
garden with an area of 81 m2?
(Hint: Area of a square = 5?, perimeter of a
square = 4s)

Answers

Answer:

540$

Step-by-step explanation:

9x9 = 81

9 + 9 + 9 + 9 = 36

36 x 15 =540

Use a double-angle or half-angle identity to find the exact value of each expression?

Answers

If 0 < θ < π/2, then 0 < θ/2 < π/4, and for such angles we expect sin(θ/2) to be positive. Also, we know both sin(θ) and cos(θ) will be positive.

Given that tan(θ) = 2, we can find sec(θ) from the Pythagorean identity:

tan²(θ) + 1 = sec²(θ)   ==>   sec(θ) = √(tan²(θ) + 1)

…   ==>   cos(θ) = 1/√(tan²(θ) + 1)

…   ==>   cos(θ) = 1/√5

Now, recall the half-angle identity for sine:

sin²(θ/2) = (1 - cos(θ))/2

==>   sin(θ/2) = √[(1 - cos(θ))/2]

==>   sin(θ/2) = √[(1 - 1/√5)/2]

==>   sin(θ/2) = √[(√5 - 1)/(2√5)]

==>   sin(θ/2) = √[(5 - √5)/10]

need help asap pleaseeeeeeeeeeeeeeeeeeeeeeeeeee
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

9514 1404 393

Answer:

  4a. 177

  4b. 248

  5a. 27

  5b. 9

  5c. 12

Step-by-step explanation:

4.

a) x is 3/4 of 1/2 of all, so is 3/8 of all.

  x = 3/8·472

  x = 177

b) x is 2/5 of 2/3 of all, so is 4/15 of all.

  x = 4/15·930

  x = 248

__

5.

Elaine gave her grandmother 3/4 of 48 = (3/4)(48) = 36 of the flowers. Then Elaine had 48 -36 = 12 flowers left.

Her grandmother gave 1/4 of 36 flowers = (1/4)(36) = 9 of the flowers to her neighbor. Elaine's grandmother has 36 -9 = 27 flowers now.

Elaine's grandmother has 27 flowersthe neighbor has 9 flowersElaine has 12 flowers

(6x^2-4x-5)(2x^2+3x)

Answers

Answer:

[tex]\left(6x^2-4x-5\right)\left(2x^2+3x\right)[/tex]

[tex]=6x^2\cdot \:2x^2+6x^2\cdot \:3x+\left(-4x\right)\cdot \:2x^2+\left(-4x\right)\cdot \:3x+\left(-5\right)\cdot \:2x^2+\left(-5\right)\cdot \:3x[/tex]

[tex]=6\cdot \:2x^2x^2+6\cdot \:3x^2x-4\cdot \:2x^2x-4\cdot \:3xx-5\cdot \:2x^2-5\cdot \:3x[/tex]

[tex]=12x^4+10x^3-22x^2-15x[/tex]

OAmalOHopeO

Six teachers and 12 students volunteer for a committee to discuss extra-curricular activities. How many committees of 5 people can be made if: a) there must be exactly 3 students on the committee b) there must be at least one teacher and at least one student on the committee (3 marks)

Answers

Answer:

a)[tex]X=3300[/tex]

b)[tex]Y=7770[/tex]

Step-by-step explanation:

From the question we are told that:

Number Teachers [tex]T=6[/tex]

Number Student [tex]S=12[/tex]

Number in committee [tex]n=5[/tex]

a) Generally the equation for exactly 3 students on the committee is mathematically given by

[tex]X=^{S}C_3*^{T}C_3[/tex]

[tex]X=^{12}C_3*^{6}C_3[/tex]

[tex]X=3300[/tex]

b) Generally the equation for at least one teacher and at least one student on the committee is mathematically given by

Total Ways-(no of ways of selection no teacher or student)

Where total Ways

[tex]T=^{(6+12)}C_5[/tex]

[tex]T=8568[/tex]

Therefore

[tex]Y=8568-^{6}C_0*^{12}C_5+^{12}C_0*^{6}C_5[/tex]

[tex]Y=8568-798[/tex]

[tex]Y=7770[/tex]

The length of a boat in scale drawing is 8 in. Find the length of the actual
boat if the scale is 1 in = 3 ft.
A)24 in
B.)24 ft
C.) 8 ft
D.) 11 in.

Answers

Answer:

B. 24 ft

Step-by-step explanation:

1 in = 3ft

8 in must equal 24 ft since 8 in x 3 ft is 24 ft. So, B.

The length of the boat will be equal to 24 ft.

What is the scale factor?

The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.

Given that:-

The length of a boat in scale drawing is 8 in. Find the length of the actual boat if the scale is 1 in = 3 ft.

The actual length will be calculated as follows:-

1 in = 3 ft.

8 in = 8 x 3 ft

8 in = 24 ft.

Therefore the length of the boat will be equal to 24 ft.

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Cho góc AOB = 100 độ vẽ OC là tia đối của tia OA , OM là phân giác của góc AOB . Tính góc COM?

Answers

Answer:

130 độ

Step-by-step explanation:

góc BOC= góc AOC-góc AOB

=180°-100°=80°

góc MOB = góc AOB/2=100°/2=50°( vì OM là tia phân giác của góc AOB)

góc COM= góc MOB + góc BOC

= 50° + 80°

= 130°

Write in point-slope form, slope-intercept form, and standard form an equation that passes through (-1,2) with slope 4.

Answers

point slope form:y-2=4(x+1)

then distribute 4 and simplify y-2=4x+4 , y=4x+6 is the slope -y intercept form

then, move 4x on the left side, you get -4x+y=6 , multiply every term by -1, you get 4x-y=-6 which is standard form.

ANSWER QUICKLY PLEASE AND THANKYOU!
Find the equation of the line for each situation.
1) a line passing through the point (3, 4) and having a slope of -2
2) a line passing through the points (1, -1) and (9, 3)
I'll mark your answer as the brainiest idc I'm just stumped

Answers

1. Since we have a slope, and only one point we can use point slope form. Point slope form is y - y1 = m(x-x1). We will replace the y1 and x1 with our coordinates. Additionally, we will replace m with -2. y - 4 = -2(x-3). If you wish to solve this, we need to first distribute. y - 4 = -2x+ 6. Then, we can add 4 which will give us 10. y = -2x + 10.
2. We just need to find the slope here. To find the slope, you can use the formula y2 - y1 / x2 - x1. 3 - (-1) / 9 - 1 gives us 4/8 or 1/2. Plot the points you’re given, and then use the slope to plot more points so you can create your line.

Since a sample data shows that a linear correlation coefficient between two variables is about 0.08, then it rules out a possible causal relationship between the two variables.

Answers

Answer:

False

Explanation:

A linear correlation coefficient is used to measure the the level of relationship between two seemingly dependent and independent variables. A relationship exists between two variables in linear correlation if one affects the other, either negatively or positively never zero. If linear correlation has a negative value then one variable increases while the other decreases. If linear correlation coefficient is positive then both variables increase together. If zero then there is no relationship as one variable's increase or decrease has nothing to do with the other. In the case above, correlation is positive at 0.08 hence we can say that there is a relationship between the two variables.

1. 80 = -10b
2. 6 = 2n
3. -16r = 32

1.
2.
3.

Answers

Answer:

1. - 8

2. 3

3. - 2

Step-by-step explanation:

1.

80 = - 10b

- 10b = 80

b = 80 / - 10

b = - 8

2.

6 = 2n

2n = 6

n = 6 / 2

n = 3

3.

- 16r = 32

r = 32 / - 16

r = - 2

Answer:

1. b = - 8
2. n = 3
3. r = -16

Step-by-step explanation:

we’re trying to solve for each variable

1. 80 = -10b

Divide both sides by -10

80/-10 = -10b/-10

-8 = b

2. 6 = 2n

Divide both sides by 2

6/2 = 2/2n

3 = n

3. -16r = 32

Divide -16 by both sides

-16r/-16 = 32/-16

r = -16

Find the first three terms of the arithmetic series described.


n=15, a_n=4/5, S_n=45

Answers

Answer:

Step-by-step explanation:

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