If the point (a, b) is equidistant from the points (-a, 2) and (2, -b), then prove that 3(a+b)+4=0​

Answer:

x = 5.3

Step-by-step explanation:

ehhh, i'm jus helping,

you're welcome :)

Answer:

53

To find:

x

Step-by-step explanation:

0.3x+5.14=2.1x – 4.4

0.3x-2.1x=-4.4-5.14

-1.8x=-9.54

x=-9.54/-1.8

To remove the decimal point, multiply with 100 on both numerator and denominator as their are two digits after the decimal point

x=-9.54 × 100/-1.8 × 100

therefore you will get,

x=-954/-180

cut the negative sign from both numerator and denominator

x=954/180

x=53

hope it helps you!!

Answer:

y=2x-2

Slope = 4.000/2.000 = 2.000

x-intercept = 2/2 = 1

y-intercept = -2/1 = -2.00000

y=3x-7

Slope = 6.000/2.000 = 3.000

x-intercept = 7/3 = 2.33333

y-intercept = -7/1 = -7.00000

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Answer:

(x,y)=(5,8)

y=8

x=5

Step-by-step explanation:

Method 1 ; Substitution Method

[tex]\begin{bmatrix}y=2x-2\\ y=3x-7\end{bmatrix}\\\\\mathrm{Subsititute\:}y=3x-7\\\\\begin{bmatrix}3x-7=2x-2\end{bmatrix}\\\\Isolate\:x \:for\:3x -7=2x-2\:\:,x=5\\\\\mathrm{For\:}y=3x-7\\\\\mathrm{Subsititute\:}x=5\\\\y=3\times\:5-7\\\\Simplify\\\\y=8\\\\y=8,\:x=5[/tex]

Method 2 : Elimination Method

[tex]\begin{bmatrix}y=2x-2\\ y=3x-7\end{bmatrix}\\\\\mathrm{Arrange\:equation\:variables\:for\:elimination}\\\\\begin{bmatrix}y-2x=-2\\ y-3x=-7\end{bmatrix}\\\\y-3x=-7\\-\\\underline{y-2x=-2}\\-x=-5\\\\\begin{bmatrix}y-2x=-2\\ -x=-5\end{bmatrix}\\\\Solve\:-x=-5\:for\:x \:,x =5\\\\\mathrm{For\:}y-2x=-2\mathrm{\:plug\:in\:}x=5\\\\Solve \:y-2\times 5 =-2\:for\:y\:\: ,y =8\\\\y=8,\:x=5[/tex]

Method 3 : Gaussian's Elimination

[tex]\begin{bmatrix}y=2x-2\\ y=3x-7\end{bmatrix}\\\\\mathrm{Arrange\:equation\:variables\:for\:elimination}\\\\\begin{bmatrix}y-2x=-2\\ y-3x=-7\end{bmatrix}\\\\\mathrm{Write\:a\:matrix\:with\:the\:coefficients\:and\:solutions}\\\\\begin{bmatrix}1&-2&¦&-2\\ 1&-3&¦&-7\end{bmatrix}\\\\Reduce \:matrix\:to\:echelon\:form\\\\\begin{bmatrix}1&0&¦&8\\ 0&1&¦&5\end{bmatrix}\\\\y=8,\:x=5[/tex]

The formula to determine the angle subtended by an arc is:θ = (L/r), where θ is the angle in radians, L is the length of the arc, and r is the radius of the circle.

We are given a circle with a radius of 16 meters and an arc length of 4π meters. Therefore, we can plug in the values of L and r to obtain the angle in radians:

θ = (L/r) = (4π/16) = π/4 radians

We can convert radians to degrees using the formula:

π radians = 180 degrees

Therefore, we can convert the angle in radians to degrees as follows:

θ (in degrees) = (θ in radians) × (180/π) = (π/4) × (180/π) = 45 degrees

Hence, the angle subtended by an arc of length 4π meters on a circle of radius 16 meters is π/4 radians or 45 degrees.Conclusion:Thus, the angle, in radians, is π/4 and the angle, in degrees, is 45 degrees.

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Answer: -11

Step-by-step explanation:

Answer:

Please add context

Step-by-step explanation:

Answer:

Add an image first

Step-by-step explanation:

Answer:

3,2

No explantation needed,

Answer:  26∗34 2 6 ∗ 3 4

Step-by-step explanation:

Answer:

256

Step-by-step explanation:

16 ×16= 256

Hope it works out for you

"If you are a pianist, you are a musician"

sorry if I'm incorrect, we didn't spend much time on conditional statements

The side measures for the figure in this problem are given as follows:

6 units and 8 units.

To obtain the area of a rectangle, you need to multiply its length by its width. The formula for the area of a rectangle is:

Area = Length x Width.

The dimensions for this problem are given as follows:

x + 3 and x + 5.

As the area is of 48 square units, we have that:

(x + 3)(x + 5) = 48

x² + 8x + 15 = 48

x² + 8x - 33 = 0.

The coefficients are given as follows:

a = 1, b = 8, c = -33.

Using a quadratic function calculator, the positive root is given as follows:

x = 3.

Hence the dimensions are:

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The answer would be -2.

Step-by-step explanation:

The line crosses through the - 2.

Answer:

y intercept would be -2

Step-by-step explanation:

y intercept means at what point first crosses the line at the y axis. \

That would be -2

Answer:

Step-by-step explanation:

Given

volume of the Venus = 9.4 x 10^11 km^3

The volume mars is approximately = 1.6 x 10^11km³

A) In order to know how many times as great as the volume of mars is the volume of Venus, we take the ratio of volume of Venus to volume of mars.

Ratio = volume of Venus/volume of mars

Ratio = 9.4 x 10^11 km³/1.6 x 10^11km³

Ratio = 9.4/1.6

Ratio = 5.875

Ratio = 5.9(to the nearest tenth)

Hence the volume of venus is approximately 5.9 great as volume of mars.

B) If volume of earth is approximately 0.69 x 10^-1 times larger than the volume of mars, then the amount by which earth is greater than mars is expressed as:

0.69 x 10^-1 × volume of mars

= 0.69 x 10^-1 × 1.6 x 10^11.

= 1.104×10^{-1+11}

= 1.104×10^10

Volume of earth will be 1.104×10^10+1.6 x 10^11.

Volume of earth = 0.1104×10^11+1.6 x 10^11.

Volume of earth = 1.7104×10¹¹ km³

Hence the approximate volume of earth is 1.7104×10¹¹km³

The volume of Mars is 5.875 times greater than the Volume of earth.

Volume is a quantity expressing the amount of three-dimensional space enclosed by a closed surface. It shows how much space there is within a three-dimensional object.

Part A:

Part B:

The volume of Mars is 5.875 times greater than the Volume of earth.

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Answer:

x=8

Step-by-step explanation:

(8)2 + 4(8)= 4x + 16

16 + 32 = 4(8) + 16

48= 32+16

48=48

Answer:

Send a picture for a full answer.

Step-by-step explanation:

Answer:

Rectangle or square

Step-by-step explanation:

Answer:

21.1111 m/s

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

If you substitute the x-value of every coordinate into the equation, C is the only one that doesn't have the right y-value

Answer:-1,-3

Step-by-step explanation:

the zeros of the function are x = 0, x = -5.

The given function is y = x(x²)(x + 5).

To find the zeros of this function, we need to set y equal to zero and solve for x.

So, y = 0x(x²)(x + 5) ⇒ 0 = x(x²)(x + 5)

We can see that the left side is zero. So, either x or (x²)(x + 5) is zero.

Thus, the zeros of the function are: x = 0, x² = 0

⇒ x = 0, x + 5 = 0

⇒ x = -5

Therefore, the zeros of the function are x = 0, x = -5.

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Answer:

35040

Step-by-step explanation:

3.48(104)+0.24(103)

=35040

Answer:

umm here 35,040

Step-by-step explanation:

Answer:

The most common way to write a ratio is as a fraction, 3/6. We could also write it using the word "to," as "3 to 6." Finally, we could write this ratio using a colon between the two numbers, 3:6. Be sure you understand that these are all ways to write the same number.

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. The first term of the ratio is measured in cents; the second term in ounces. You can write this rate as 69¢/12 ounces or 69¢:12 ounces.

The angle through which the particle rotates in radians is 1.67 radians, while the angle in degrees is 605° (rounded to the nearest degree).

A particle moves in a circle of radius 1.50 m. If it moves through an arc length of 2.50 m, we are to determine the angle through which it rotates in radians and in degrees.

Let the angle through which it rotates be denoted as θ, and the radius of the circle be denoted as r, thus, we can write:

L = rθ

where L is the length of the arc. We are to determine θ if r = 1.50 m and L = 2.50 m.

Substituting L = 2.50 m and r = 1.50 m into L = rθ, we have: 2.50 m = 1.50 mθ

Dividing both sides by 1.50 m, we obtain:

θ = 2.50 m / 1.50 m = 1.67 radians

The angle through which the particle rotates in radians is 1.67 radians, while the angle in degrees is 605° (rounded to the nearest degree).

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Answer:

-4

Step-by-step explanation:

Answer:

mk so a while back u posted an anser to a math question and I needed to tell u ur sner made NO SENSE BECAUSE YOU SAID "none of them" AND THAT WASNT AN OPTION

Answer:

In 22 minutes the remaining cell phone battery will be unknown.  

In a of minutes the remaining cell phone battery will be 50%.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

at the left hand side the coefficient is 3

Answer:

I believe the answer is x-intercept

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

Step 1: Write equation

x³ + 2 = 10

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

2³ + 2 = 10

8 + 2 = 10

10 = 10

Answer:

2

Step-by-step explanation:

X³+2=10

-2 -2

X³=8

X=2

What number can be multiplied by itself 3 times that makes 8?

2×2=4×2=8

Answer:

95 degrees

Step-by-step explanation:

One and 4 are vertical, meaning they are congruent

4 and 8 are corresponding meaning they are congruent

8 & 7 are supplementary meaning they add up to 180 degrees

Hope this helps :-)

Answer:

D)45 and 45

Step-by-step explanation:

Isosceles right triangle is a triangle with one 90 degree angle and two equal sides and angles, meaning two 45 degree angles

The confidence interval for the change in height after three days of bed rest is approximately (13.308, 14.692) mm.

So we can be 95% confident that the true change in height after three days of bed rest falls within this interval.

To find the 95% confidence interval for the change in height after three days of bed rest, we can use the formula for a confidence interval for the mean difference in paired data:

CI = x ± t * (s / √n)

Where the variables are:

Let's calculate the confidence interval:

CI = 14 ± 2.571 * (0.66 / √6)

Calculating the value inside the parentheses:

0.66 / √6 ≈ 0.2691

Calculating the confidence interval:

CI = 14 ± 2.571 * 0.2691

CI = 14 ± 0.692

That is the confidence interval.

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