What is the approximate distance between points (-7,2) and (11,-5)?

Answer:

Option (1) and (5)

Step-by-step explanation:

Let the equation representing number of sold is,

y - y' = m(x - x')

Where m = number of condo sold per month  

(x', y') is a point from the given table,

Slope of line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of the passing through (1, 8) and (0, 11) will be,

m = [tex]\frac{11-8}{0-1}[/tex] = -3

Therefore, equation of the line passing through (3, 2) and slope (-3),

y - 2 = (-3)(x - 3)

y - 2 = -3(x - 3)

Similarly, equation of the line passing through (0, 1) and slope (-3),

y - 11 = -3(x - 0)

Therefore, Option (1) and (5) will be the answer.

Answer:

Options 1 and 5

The required height of the seat from the ground is 100√3. Option D is correct.

A seat on a Ferris wheel is level with the center of the wheel. The diameter of the wheel is 200 feet. Suppose the wheel rotates 60°, causing the height of the seat to decrease. How much closer to the ground is the seat after the is to be determined.

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.

Diameter = 200
Radius = Diameter/2 = 100
Rotational angle = 60°
Let the height be h
tan60 = h/100
√3 = h/100
100√3 = h

Thus, the required height of the seat from the ground is 100√3. Option D is correct.

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Answer:

50 √3 feet

Step-by-step explanation:

Correct on edge 2023.

Answer:

Step-by-step explanation:

x        - the first number

2x      - two times the first number

2x-9     - 9 less than two times the first number = the second number

3x      - three times the first number

3x+6     -  six more than three times the first number = the third number  

The sum of three numbers is 123:

x + 2x-9 + 3x+6 =123

    6x - 3 = 123

      6x = 126

        x = 21

2x-9 = 2•21-9 = 33

3x+6 = 3•21+6 = 69

Check:  21+33+69 = 123

Answer:

95°

Step-by-step explanation:

1 is opposite to 4. So, (3x+10)° = (4x-15)°

3x + 10 = 4x - 15

10 + 15 = 4x - 3x

25 = x

m(4) = 4x - 15 => 4.25 - 15

100 - 15 = 85 = m(4)

7 is opposite to 6 and 6 is parallel to 4. So, m(4) + m(6) = 180°

85° + m(6) = 180°

m(6) = 95°

6 is opposite to 7, so m(6)=m(7) and answer is 95°

Hope this helps ^-^

Answer:

volume of building a is 200 volume of building b is 224

Step-by-step explanation:

Answer:

The equation of the line that passes through the points (0, 3) and (5, -3) is [tex]y = -\frac{6}{5}\cdot x +3[/tex].

Step-by-step explanation:

From Analytical Geometry we must remember that a line can be formed after knowing two distinct points on Cartesian plane. The equation of the line is described below:

[tex]y = m\cdot x + b[/tex] (Eq. 1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]b[/tex] - y-Intercept, dimensionless.

If we know that [tex](x_{1},y_{1}) = (0,3)[/tex] and [tex](x_{2},y_{2})=(5,-3)[/tex], the following system of linear equations is constructed:

[tex]b = 3[/tex] (Eq. 2)

[tex]5\cdot m + b = -3[/tex] (Eq. 3)

The solution of the system is: [tex]b = 3[/tex], [tex]m = -\frac{6}{5}[/tex]. Hence, we get that equation of the line that passes through the points (0, 3) and (5, -3) is [tex]y = -\frac{6}{5}\cdot x +3[/tex].

Answer:

B. (2,4)

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

2 minus 47 equals 45 if that's what your talking about

Step-by-step explanation:

Amelia got 56% of 75 so

(56/100)*75=(56*75)/100=4200/100=42

Hayden got 8/15 of 75 so

(8/15)*75=(8*75)/15=600/15=40

and Sophie that got 43 out of 75

so we see that Sophie got the highest points.

Given parameters:

  Total test score = 75marks

 Percentage of Amelia score  = 56%

 Fraction  of Hayden's score = [tex]\frac{8}{15}[/tex]

  Sophie's score  = 43marks

Unknown:

The person with the highest score  = ?

Solution:

  Since total score = 75marks;

Amelia's score = [tex]\frac{56}{100} x 75[/tex]   = 42marks

 Hayden's score = [tex]\frac{8}{15} x 75[/tex]   = 40marks

 Sophie's score  = 43 marks

The person with the highest score is Sophie with a mark of 43.

Answer:

588

Step-by-step explanation:

Got it right on Edgen

Answer:

588

Step-by-step explanation:

i took the test

Answer:

4/3

Step-by-step explanation:

you use slope formula

Answer:

A = 500(1+6%/2)^2t

Step-by-step explanation:

Given the general compound interest formula A = P(1+r/n)^nt. With an initial investment of $500, and percent interest of 6% compounded semi annually(every six months/half a year/twice in one year). A = 500(1+6%/2)^2t .

i.e if given two years of compound interest, t=2. A = 500(1+6%/2)^2(2), 500(1+0.03)^4, 500(1.03)^4, 500(1.12550881), 500(≈1.1255) = 562.75

A = 562.75$ for two years

Answer:65

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Answer:

y=640-3x

Step-by-step explanation:

The total amount of ounces in the bucket is 640, and it decreases by 3 each minute. For example, if you plug in 3 for x into that equation (which would represent 3 minutes), you would lose 9 ounces of water, which makes sense in the terms of the equation.

Answer:

[tex]y = 2[/tex]

Step-by-step explanation:

Given

[tex]5 + y = 7[/tex]

Required

Solve

From the analysis attached to the question, we can solve this equation by subtracting 5 from both sides:

[tex]5 + y = 7[/tex]

[tex]-5 + 5 + y = 7 - 5[/tex]

[tex]0 + y = 2[/tex]

[tex]y = 2[/tex]

Answer:

slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 8, 0) and (x₂, y₂ ) = (4, 6) ← 2 points on the line

m = [tex]\frac{6-0}{4+8}[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

               [tex]\bold{d=\dfrac{13}4=3\dfrac14}[/tex]

Step-by-step explanation:

[tex]a_{10}\,,\ _{\{+d\}}\ \ a_{11}\,,\ _{\{+d\}}\ \ a_{12}\,,\ _{\{+d\}}\ \ a_{13}\,,\ _{\{+d\}}\ \ a_{14}\quad\implies\quad\ a_{14}-a_{10}=4d\\\\4d=a_{14}-a_{10}\\\\4d=30-17\\\\4d=13\\{}\ ^{\div4\quad\div4}\\d=\dfrac{13}4=3\dfrac14[/tex]

Answer:

The answer would be c- 1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

X=1/2

volume d'un cube= x^3

donc (1/2)*(1/2)*(1/2)=1/8

Answer:

Graph C

The Y axis is up and down and the x axis is side to side. So first we want to look to see which line crosses the y axis the the up and down black line.

When you are finding a coordinate you set it up like this (x, y). You will find x first and y second.

So we are down to two graphs graph a and graph c. Know both of them cross at the (0,-7) mark but it asks for one other thing a well.

On a graph when something decreases it will go down and when something increases it will go up. So that tells me it is graph C.

Answer:

Yes, 5x = y is Proportional and, the constant of proportionality is 5

Step-by-step explanation:

If x and y are proportion, then

∵ 5x = y

→ Switch the two sides

∴ y = 5x

→ Check it if passes through the origin point or not

∵ At x = 0, y = 5(0) = 0

∴ (0, 0) is a point ∈ y = 5x

∴ y = 5x represented graphically by a line passes through the origin

∴ x and y are proportion

∴ y = 5x is the equation of proportional

→ By comparing it with the form of the equation above

∴ k = 5

BREAKDOWN

10 times: 10 ×

The sum of: ( ) + ( )

which would be : 10 × ( ) + ( )

half a number: 10 × ( X/2 ) + ( )

and 8: 10 × ( X/2 ) + ( 8 )

is 12 : 10 × ( X/2 + 8 ) = 12

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SIMPLIFICATION

Multiply ten: 10 X (X/2 + 8) = 12

which equals to: 5x + 80 = 12

bring the like terms together: 5x = 80 - 12

Equals: 5x = 78

Find out X:. x = 78/5

FINAL ANSWER:. X = 15.9

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Answer:

30 trees

Step-by-step explanation:

Given the policy:

8 trees are cut down 48 trees will be planted

If homeowner is going to cut down five trees on his property how many trees will be planted

Since :

8 trees cut down = 48 planted

5 trees cut down = X

Cross multiply :

8 * X = 48 * 5

8X = 240

X = 240/8

X = 30

Hence, 30 trees will need to be planted

Answer: 30

Step-by-step explanation: because i had that question

Answer:

Domain = (-2,2)

Range = [-2, 2)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Rewrite  27  as  3 ³.

(3³)[tex]\frac{1}{3}[/tex]

Apply the power rule and multiply exponents,  [tex](a^{m})^{n} =a^{mn}[/tex]

3³([tex]\frac{1}{3}[/tex])

The simplified value of exponential expression27(1/3) is about equivalent to 3.

Here, we have,

give that,

the expression is 27^1/3.

We know,

An exponential expression is a mathematical expression that requires raising a variable to a power.

now, we get,

Rewrite  27  as  3 ³.

so, we have, (3³)^1/3

Apply the power rule and multiply exponents,  nᵃᵇ= (nᵃ)ᵇ

3³^(1/3) = 3

i.e. we have,

(27)^1/3

= (3^3)^1/3

= 3

As 3*3*3 is 27 so we can write 3^3 ...both power got cancelled hence we got 3 as a answer.

Hence, The simplified value of exponential expression27(1/3) is about equivalent to 3.

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Answer:

4+1=m??? I think

Step-by-step explanation:

Hope it helps :)

Have a good day/night

Brainliest pls?

The answer is A, x=7/3

Decimal form would be x=2.3...

And mixed number form would be x=2 1/3