They gave me a question it is an equilateral triangle

Hope you understand :)

Answer:

6x +3y

Step-by-step explanation:

3x + 3(x+y)

3x + 3x +3y

6x +3y

y = (-6/5)x + 14/5 is the equation of line parallel to 6x+5y=1 and passing through (4,-2)

y = (-2/3)x - 19/3 is the equation of perpendicular to 3x-2y=3 and passing through (3,-7)

To find the equation of a line parallel to the given line, we need to use the same slope.

The given line has the equation 6x + 5y = 1.

5y = -6x + 1

y = (-6/5)x + 1/5

The slope of this line is -6/5.

The parallel line must have the same slope, the equation of the line parallel to 6x + 5y = 1 and passing through (4, -2) is:

y - (-2) = (-6/5)(x - 4)

y = (-6/5)x + 14/5

To find the equation of a line perpendicular to the given line, we need to use the negative reciprocal slope.

-2y = -3x + 3

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

The slope of this line is 3/2.

The negative reciprocal of 3/2 is -2/3.

So, the equation of the line perpendicular to 3x - 2y = 3 and passing through (3, -7) is:

y - (-7) = (-2/3)(x - 3)

y = (-2/3)x - 19/3

The line is at an angle of 60° from the x-axis, the slope can be determined using the tangent of 60°, which is √3. So, the slope (m) is √3.

To find the y-intercept (c), we can use the point-slope form of a line. Since the perpendicular distance is 3 units

Let's choose (0, 3) as a point on the line.

Using the point-slope form, we have:

y - 3 = √3(x - 0)

y - 3 = √3x

y = √3x + 3

Therefore, the equation of the line is y = √3x + 3.

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Answer:

Area of rectangle, \(A=\dfrac{99}{8}\ \text{inch}^2\)

Step-by-step explanation:

We have,

A rectangle that measures \(4\dfrac{1}{2}\times 2\dfrac{3}{4}\).

It is required to find the area of the rectangle

The product of length and breadth of a rectangle is called its area. It can be calculated as :

\(A=4\dfrac{1}{2}\times 2\dfrac{3}{4}\\\\A=\dfrac{9}{2}\times \dfrac{11}{4}\\\\A=\dfrac{99}{8}\ \text{inch}^2\)

So, the area of the rectangle is \(\dfrac{99}{8}\ \text{inch}^2\).

Using the slope - intercept relation, the equation which represents the cost of cab ride is y = 0.5x + 6.50

Using the slope - intercept relation :

b = change in cost per mile

c = constant price added for every taxi ride

Hence, the expression can be written thus :

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The area of the square is 144 \(cm^{2}\).

Let x be the side of the square. Then the length of the triangle is (x+4). Perimeter is the length of all sides of a geometric figure combined. For an equilateral triangle, it's equal to thrice the length of one side. For a square, it's four times the length of one side. The Perimeter of the Triangle is 3(x+4) & the Perimeter of the square is 4x.

We know, both these perimeters are equal. Hence,

4x = 3(x+4)

To further simplify the above equation.

4x = 3x + 12

x = 12

Hence, the length of one side of the square is 12 cm. The area of the square can be calculated as follows:

Area = \((side)^{2}\)

Area = 12 * 12

Area = 144 \(cm^{2}\)

Hence, the Area of the Square is 144 \(cm^{2}\)

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Answer:

a) The horizontal asymptote is y = 0

The y-intercept is (0, 9)

b) The horizontal asymptote is y = 0

The y-intercept is (0, 5)

c) The horizontal asymptote is y = 3

The y-intercept is (0, 4)

d) The horizontal asymptote is y = 3

The y-intercept is (0, 4)

e) The horizontal asymptote is y = -1

The y-intercept is (0, 7)

The x-intercept is (-3, 0)

f) The asymptote is y = 2

The y-intercept is (0, 6)

Step-by-step explanation:

a) f(x) = \(3^{x + 2}\)

The asymptote is given as x → -∞, f(x) = \(3^{x + 2}\) → 0

∴ The horizontal asymptote is f(x) = y = 0

The y-intercept is given when x = 0, we get;

f(x) = \(3^{0 + 2}\) = 9

The y-intercept is f(x) = (0, 9)

b) f(x) = \(5^{1 - x}\)

The asymptote is fx) = 0 as x → ∞

The asymptote is y = 0

Similar to question (1) above, the y-intercept is f(x) = \(5^{1 - 0}\) = 5

The y-intercept is (0, 5)

c) f(x) = 3ˣ + 3

The asymptote is 3ˣ → 0 and f(x) → 3 as x → ∞

The asymptote is y = 3

The y-intercept is f(x) = 3⁰ + 3= 4

The y-intercept is (0, 4)

d) f(x) = 6⁻ˣ + 3

The asymptote is 6⁻ˣ → 0 and f(x) → 3 as x → ∞

The horizontal asymptote is y = 3

The y-intercept is f(x) = 6⁻⁰ + 3 = 4

The y-intercept is (0, 4)

e) f(x) = \(2^{x + 3}\) - 1

The asymptote is \(2^{x + 3}\)  → 0 and f(x) → -1 as x → -∞

The horizontal asymptote is y = -1

The y-intercept is f(x) =  \(2^{0 + 3}\) - 1 = 7

The y-intercept is (0, 7)

When f(x) = 0, \(2^{x + 3}\) - 1 = 0

\(2^{x + 3}\) = 1

x + 3 = 0, x = -3

The x-intercept is (-3, 0)

f) \(f(x) = \left (\dfrac{1}{2} \right)^{x - 2} + 2\)

The asymptote is \(\left (\dfrac{1}{2} \right)^{x - 2}\) → 0 and f(x) → 2 as x → ∞

The asymptote is y = 2

The y-intercept is f(x) = \(f(0) = \left (\dfrac{1}{2} \right)^{0 - 2} + 2 = 6\)

The y-intercept is (0, 6)

Answer:

P = 20x + 6y + 10

Step-by-step explanation:

The perimeter (P) of the figure is the sum of the sides , that is

P = 2x - y + 3x + 5y + 12 + 6x + 9x + 2y - 2 ← collect like terms

  = 20x + 6y + 10

Answer:

the answer is 108 (im pretty sure)

Step-by-step explanation:

because if it takes three 1/3 to make one whole u would have to multiply

36 x 3 to get your answer which 36 x 3 =108

hope this was correct and i hope this helped have a good rest of your day:)

Answer:

116 degrees

Step-by-step explanation:

In the given regression equation, the slope of the line is - 1.23.

Regression equation:

in statistics, regression equation means the mathematical expression of the relationship between a dependent variable and one or more independent variables that results from conducting a regression analysis.

Given,

The average August temperatures (y) and geographic latitudes (x) of 12 cities in the United States were studied. The regression equation for these data is Temperature 90.4 -1.23*(latitude)

Here we need to the slope of the line.

While we looking into the given regression equation,

Temperature = 90.4 - 1.23x(latitude)

While we compare this one with the general slope of the line equation,

y = mx + c

where m refers the slope of the line.

Then we get the value of slope as -1.23.

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Answer:

x = -23

Step-by-step explanation:

Answer:

y = 0 or y = 0x + 2

Step-by-step explanation:

Since the y value stays the same for any input of x, it means that it is a horizontal line at y = 2 that has a slope of zero.

Answer:

first option

Step-by-step explanation:

From the table we can observe that no matter what x is, y will always be 2. Since the y-value never changes, the slope is 0 so that means that the answer is y = 0x + 2.

Answer:

The first graph

Step-by-step explanation:

The first graph shows a proportional relationship

y/x = 2/2 = 1

Answer:

Step-by-step explanation:

Let's call the two numbers x and y. We can set up the following equation to represent the problem:x + y = 679y = x + 431Substituting the second equation into the first equation, we get:x + (x + 431) = 679Combining like terms, we get:2x + 431 = 679Subtracting 431 from both sides, we get:2x = 248Dividing both sides by 2, we get:x = 124Substituting this value back into the equation y = x + 431, we get:y = 124 + 431 = 555Therefore, the two numbers are 124 and 555.

Answer:

∠ A = 70°

Step-by-step explanation:

The opposite angles in a cyclic quadrilateral are supplementary, then

∠ A + ∠ Q = 180°

∠ A + 110° = 180° ( subtract 110° from both sides )

∠ A = 70°

Answer:

D?

Step-by-step explanation:

Answer:

A, complementary angles sum up to 90°

The equation of the plane is ⟨0, 0, -xt, -y⟩. ⟨(x-1), y, z, t⟩ = 0.

Given that the equation for the line is x, y, z, t.

The equation for the plane perpendicular to the given line can be calculated as follows:

Firstly, we know that the vector which is perpendicular to both the line and the plane is the direction of the plane.

Hence the direction of the plane is the cross product of the vector with the given line direction:⟨1, 0, 0, 0⟩ × ⟨x, y, z, t⟩= ⟨0t - 0z, 0z - 0t, 0y - xt, 0x - y⟩= ⟨0, 0, -xt, -y⟩Hence the direction of the plane is ⟨0, 0, -xt, -y⟩.

Now, we need to find any point (x0, y0, z0, t0) on the plane.

Let's assume that the point is (1, 0, 0, 0) since it lies on the line.

Then the equation of the plane can be obtained as:⟨0, 0, -xt, -y⟩ .

⟨(x-x_0), (y-y_0), (z-z_0), (t-t_0)⟩ = 0⟨0, 0, -xt, -y⟩ . ⟨(x-1), y, z, t⟩ = 0

The equation of the plane perpendicular to the line x, y, z, t is given as ⟨0, 0, -xt, -y⟩. ⟨(x-1), y, z, t⟩ = 0.

Therefore, the equation of the plane is ⟨0, 0, -xt, -y⟩. ⟨(x-1), y, z, t⟩ = 0.

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Answer:

Circumference of a circle

Step-by-step explanation:

The circumference of a circle is longer than its radius of the circle.

Answer:

it can be true and false

Step-by-step explanation:

because a denominator can be in a unit you multiple or division then you can get your unit rate but you can have the same number just bye adding it to a different number that lower than that number that you pick

Answer:

5 faces

Step-by-step explanation:

4 triangle faces + 1 square base face = 5 faces in total

Answer:

4+1

Step-by-step explanation:

Answer would be 5 if im correct

Answer:

Sqrt 49 = 7

Sqrt 136 = 11.6619037896906

Sqrt 181 = 13.45362404707371

Sqrt 100 = 10

Sqrt -64 = Not a real number (invalid input)

Answer:

Step-by-step explanation:

Slope (m) =

ΔY

ΔX

=

9

7

= 1.2857142857143

θ =

arctan( ΔY )

ΔX

= 52.125016348902°

ΔX = 49 – 21 = 28

ΔY = 63 – 27 = 36

Distance (d) = √ΔX2 + ΔY2 = √2080 = 45.607017003966

Equation of the line:

y = 1.2857142857143x – 3.5527136788005E-15

When x=0, y = -3.5527136788005E-15

When y=0, x = 2.7632217501782E-15

If 1 Point and the Slope are Known:0.75

Answer:

D.

Step-by-step explanation:

The equation given takes the point-slope form which is, \( y - b = m(x - a) \). Where,

(a, b) = (x, y) coordinates of a point on the line.

m = slope of the line .

To find which graph has a line equation of \( y - 2 = 3(x - 1) \), look for the points which will give you something almost exactly as the equation if you substitute their values into \( y - b = m(x - a) \).

Let's consider option D.

We have a given point (1, 2). a = 1, b = 2.

Substitute these into \( y - b = m(x - a) \)

We have:

\( y - (2) = m(x - (1)) \)

\( y - 2 = m(x - 1) \)

As you can see, this looks almost exactly as

\( y - 2 = 3(x - 1) \).

If you want to be certain that option D is the answer, find m by using the coordinates of any other point on the line and plug into \( y - 2 = m(x - 1) \) to find m:

In graph D, let's take the points (0, -1)

\( -1 - 2 = m(0 - 1) \)

\( -3 = m(-1) \)

\( -3 = -m \)

Divide both sides by -1

3 = m

m = 3.

Therefore, option D is the graph of the line \( y - 2 = 3(x - 1) \).

The computation to be completed is 5a-5b+16c = 58+15+14.

The solution to this equation is a = 10, b = -3, and c = 1.

To solve this equation, start by adding all the constants on both sides of the equation. On the left side, the constants are 5a-5b+16c and on the right side, the constants are 58+15+14. Thus, the equation becomes 5a-5b+16c = 87.

Next, subtract 16c from both sides. This gives 5a-5b = 71.

Then, divide both sides by 5. This gives a-b = 14.

Finally, add b to both sides of the equation. This gives a = 14+b. Therefore, the solution to the equation is a = 10, b = -3, and c = 1.

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Answer:

5

Step-by-step explanation:

Answer:

208

Step-by-step explanation:

4*30 = 120

(15-4) * 8 = 88

88 + 120 = 208

Answer:

208 cm

Step-by-step explanation:

Solving right side first. 8*15=120

Take out 8cm from 30. 30 - 8 = 22

22*4= 88

88 + 120 = 208

Check work I found the total area and the white rectangle.

15*30=450 which in total area

15-4=11 11 is the left/right side of the white rectangle

30-8=22 22 is the top/bottom side of the white rectangle.

22*11= 242

208+242=450