Solve the formula for the given variable.
-2x + 6 = -3x
Help meee

Answer:

5/9

Step-by-step explanation:

y2-y1/x2-x1 = 5/9

Answer:

Below

Step-by-step explanation:

Let's say that each square on the grid represents 1 cm

First find the area of the two triangles

For the larger one: A = bh/2

A = 3 x 3 / 2

  = 4.5 cm^2

For the smaller one : A = bh/2

A = 2 x 2 / 2

   = 2 cm^2

For the rectangle : A = lw

A = 4 x 5

   = 20 cm^2

Add them all up to get the area

4.5 + 2 + 20 = 26.5 cm^2

Hope this helps!

Answer:

26 1/2 units

Step-by-step explanation:

First find the area of the rectangle at the bottom

A = l*w

A = 5 *4 = 20

Then find the area of the left triangle

A =1/2 bh = 1/2 (3 * 3) = 9/2

Then find the area of the right triangle

A = 1/2 bh = 1/2 ( 2*2) = 4/2 =2

Add the areas together

20 + 9/2+2 = 22 +9/2 = 22+4 1/2= 26 1/2

Answer:

(x+4)(x-3)

Step-by-step explanation:

x^2+x-12

=x^2+(4-3)x-12

=x^2+4x-3x-12

=x (x+4)-3 (x+4)

=(x+4)(x-3)

Answer:x=6

Step-by-step explanation:

Answer: Dimension = 27 inches by 39.75 inches

Concept:

A perimeter is a path that encompasses/surrounds/outlines a shape.

Perimeter (rectangle) = 2 (l + w)

l = length

w = width

Solve:

l = 2w - 14.25

w = w

P = 133.5

Given equation

P = 2 (l + w)

Substitute values into the equation

133.5 = 2 (2w - 14.25 + w)

Combine like terms

133.5 = 2 (3w - 14.25)

Distributive property

133.5 = 6w - 28.5

Add 28.5 on both sides

133.5 + 28.5 = 6w - 28.5 + 28.5

162 = 6w

Divide 6 on both sides

162 / 6 = 6w / 6

w = 27 in

l = 2w - 14.25 = 2 (27) - 14.25 = 39.75 in

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

[tex](a^2-1)x^2+(a-1)x+a^2-4a+3=0\\\\Calculate\ and\ identify\ the\ polynomials\\\\\Longleftrightarrow\ a^2x^2-x^2+ax-x+a^2-4a+3=0\\\\\Longleftrightarrow\ a^2x^2+ax+a^2-4a+3=x^2+x+0\\\\\Longleftrightarrow\ \left\{\begin{array}{ccc}a^2&=&1\\a&=&1\\a^2-4a+3&=&0\\\end{array} \right.\\\\\Longleftrightarrow\ \left\{\begin{array}{ccc}(a-1)(a+1)&=&0\\a-1&=&0\\(a-1)(a-3)&=&0\\\end{array} \right.\\\\\\We\ must\ exclude\ a=-1\ and\ a=3\ (not\ solution)\\\Longrightarrow\ a=1\\[/tex]

Answer:

{(0, 0), (1, ⅔), (2, 4/3), (3, 2)…}

Answer:

Step-by-step explanation:

Answer:

ΔT = -75°F

Step-by-step explanation:

ΔT = T₁ - T₀ = 350 - 425 = -75°F

Answer:

The answer is option C
2 in., 3 in., 4 in. and 5 in., 6 in., 7 in.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

parts of a circle = tangent, chord, arc, segment, sector, diameter, radius, circumference.

A lot of jobs use area and perimeter such as; Surveying, flooring estimates architecture, mechanical engineering,

Typically, a land surveyor conducts and records a perimeter survey and part of this includes the transverse  

Surveyors typically measure positions in series. Starting at control points, they measure angles and distances to new locations and use trigonometry to calculate positions in a plane coordinate system. Measuring a series of positions in this way is known as "running a traverse." A traverse that begins and ends at different locations is called an open traverse.

Here they create segments as seen below attached.

Engineers  Drawing Circles: Begins by defining the radius, diameter and circumference and asking students to draw circles with a given radius, circumference or area. and when requiring they draw two circles with the same centre, one property of each circle being given in example with bridges, or arc of a circle working with calculating precise length for material lists.

The Annulus: the shape formed between two circles. They use the properties of the annulus by completing a table with values of pertaining to the properties of the inner circle, the outer circle and the annulus.

With sectors, engineers, can defining major and minor sector, they calculate the arc length and the area of a sector of a circle. They have learnt how to complete a table of values of properties of a circle and a sector of that circle given different properties from which to start with.

Architecture typically used series of circles in gothic architecture, but also art deco and earlier historic arches, use of semi-circular arches in architecture, and tangents are used as a .function to compute a building's height if they know their distance from the structure and the angle between their eyes and the building's top; clinometers can help them measure those angles.

Metal fabricators and product design workers use spring dividers help them inscribe an arc or create a circle pattern.

I would then write a little more about chords and radius

Answer:

55*54

=2970

Step-by-step explanation:

Answer:

Step-by-step explanation:

The diagrammatic expression to understand this question very well is attached in the image below.

By applying the law of cosine rule; we have:

From the diagram attached below, we need to determine the side "b" by using equation (2) from above:

b² = a² + c² - 2ac Cos B

From the information given:

a = 12 miles;  c = 18 miles;   ∠B = 38°

∴

replacing the values into the above equation:

b² = 12² + 18² - 2(12)(18) Cos (38°)

b² = 144 + 324 - 432 × (0.7880)

b² = 468 - 340.416

b² = 127.584

[tex]b = \sqrt{127.584}[/tex]

b = 11.30 miles

However, we are also being told that the speed from A → C = 6.8 mph

Thus, the time required to go from A → C  can be determined by using the relation:

[tex]\mathbf{speed = \dfrac{distance}{time}}[/tex]

making time the subject of the formula, we have:

[tex]\mathbf{time= \dfrac{distance}{speed }}[/tex]

[tex]\mathbf{time= \dfrac{11.30}{6.8}}[/tex]

time = 1.66 hours

By using the paved roads, the speed is given as = 22 mph

thus, the total distance covered = |AB| + |BC|

= (18+12) miles

= 30 miles

∴

[tex]\mathbf{time= \dfrac{distance}{speed }}[/tex]

[tex]\mathbf{time= \dfrac{30}{22}}[/tex]

time = 1.36 hours

Therefore, the time used off-road = 1.661 hours while the time used on the paved road is 1.36 hours.

Since we are considering the shortest time possible;

We can conclude that it would be faster for the bicyclist to ride from A to C on the paved roads since it takes a shorter time to reach its destination compared to the time used off-road.

Learn more about Law of cosine here:

https://brainly.com/question/24077856?referrer=searchResults

It would be faster for the bicyclist to ride from A to C on the paved roads since the time to go from A to C on the paved roads is 1.4 h and the time to go from A to C off-road is 1.7 h.        

To calculate which way would be faster we need to find the distance from point A to C with the law of cosines:

[tex] \overline{AC}^{2} = \overline{AB}^{2} + \overline{BC}^{2} - 2\overline{AB}\overline{BC}cos(38) [/tex]

Where:

[tex]\overline{AB}[/tex]: is the distance between the point A and B = 18 mi

[tex]\overline{BC}[/tex]: is the distance between the point B and C = 12 mi        

[tex] \overline{AC} = \sqrt{(18 mi)^{2} + (12 mi)^{2} - 2*18 mi*12 mi*cos(38)} = 11.3 mi [/tex]

Now, let's find the time for the two following cases.

1. From point A to C on the paved roads (t₁)

[tex] t_{1} = t_{AB} + t_{BC} [/tex]

The time can be calculated with the following equation:

[tex] t = \frac{d}{v} [/tex]    (1)

Where:

d: is the distance

v: is the velocity

Then, the total time that it takes the bicyclist to go from point A to C on the paved roads is:

[tex] t_{1} = t_{AB} + t_{BC} = \frac{18 mi}{22 mph} + \frac{12 mi}{22 mph} = 1.4 h = 84 min [/tex]

2. From point A to C off-road (t₂)

With equation (1) we can calculate the time to go from point A to C off-road:

[tex] t_{2} = \frac{\overline{AC}}{v_{2}} = \frac{11.3 mi}{6.8 mph} = 1.7 h = 102 min [/tex]

Therefore, it would be faster for the bicyclist to ride from A to C on the paved roads.  

To find more about the law of cosines, go here: https://brainly.com/question/15740431?referrer=searchResults  

I hope it helps you!                                  

Answer:

x/8

Step-by-step explanation:

First, we are given "the quotient of...". This means that we are dividing something/something else. If two numbers are given in the phrase "something and something else", the first number given will be the something, and the second number will be the something else.

The first number listed is x. Therefore, we have

x/something else.

Next, we are given "and 8", so we have x/8 as our expression

Answer:

Step-by-step explanation:

y = x³

x = ∛y

Switch x and y:

y = ∛x

f⁻¹(x) = ∛x

f⁻¹(12) = ∛12 ≅ 2.29

check:

x = 2.29

f(x)  = 2.29³ ≅ 12

9514 1404 393

Answer:

  about 3,160,000,000

Step-by-step explanation:

"Increases at a rate proportional to population" means the growth is exponential. It can be modeled by the equation ...

  p = ab^t

We can find 'a' and 'b' using the given data points.

  100 = ab^(-4) . . . . . . . population 4 days ago

  100,000 = ab^(-2) . . . population 2 days ago

Dividing the second equation by the first, we find ...

  1000 = b^2

  b = 1000^(1/2)

Substituting for b in the first equation, we have ...

  100 = a(1000^(1/2))^(-4) = a(1000^-2)

  100,000,000 = a

Then the population model is ...

  p = 100,000,000×1000^(t/2)

__

Tomorrow (t=1), the population will be ...

  p = 100,000,000 × 1000^(1/2) ≈ 31.6 × 100,000,000

  p ≈ 3,160,000,000 . . . . . bacteria by tomorrow

_____

Additional comment

We could write this as ...

  p = 10^(8+1.5t)

Then for t=1, this is p = 10^(8+1.5) = 10^0.5 × 10^9 = 3.16×10^9

Answer:

3/2

Step-by-step explanation:

y2 - y1 / x2 - x1

1 - 7 / -5 - (-1)

-6 / -4

= 3/2

Answer:

m=3/2

Step-by-step explanation:

m=y2-y1/x2-x1

m=1-7/-5-(-1)

m=-6/-4

m=3/2

Answer:

Hello,

Step-by-step explanation:

[tex]\dfrac{3^{n+1}+9}{3^{n-1}+1} \\\\=\dfrac{9*(3^{n-1}+1)}{3^{n-1}+1}\\\\=9\\[/tex]

Answer:

I doubt it is not going to be a great

Answer:

x > - 8

Step-by-step explanation:

4x - 8 > - 40

4x > - 40 + 8

4x > - 32

Divide 4 on both sides,

4x / 4 > - 32 / 4

x > - 8

Answer:

13

Step-by-step explanation:

If we have a right triangle, we can use the Pythagorean theorem to find the hypotenuse

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

5^2 + 12^2 = c^2

25+144= c^2

169 = c^2

Take the square root of each side

sqrt(169) = sqrt(c^2)

13= c

Answer:

The length of the hypotenuse is 13.

Step-by-step explanation:

[tex]a^{2}[/tex] = [tex]b^2 + c^2[/tex]

[tex]a^2 = 12^2 + 5^2[/tex]

[tex]a^2 = 144 + 25[/tex]

[tex]a^2 = 169[/tex]

a=[tex]\sqrt{169}[/tex]

a= 13

Here we use the idea of the Pythagoras' theorem. Which suggests that [tex]a^{2}[/tex] = [tex]b^2 + c^2[/tex] in which  [tex]a^{2}[/tex] is the hypotenuse of the triangle and [tex]b^2[/tex] and [tex]c^{2}[/tex] are the two other lengths of the triangle.

HOPE THIS HELPED

We can conclude that if (c, f(c)) is a point of inflection of the graph of f and f'' exists in an open interval that contains c, then f''(c)=0.

The process of finding derivatives of a function is called differentiation in calculus. A derivative is the rate of change of a function with respect to another quantity.

We can prove this statement using the First Derivative Test and Fermat's Theorem.

First, we know from the First Derivative Test that at a point of inflection, the first derivative of the function (in this case, f') must equal 0. Therefore, at the point (c, f(c)), f'(c) = 0.

Next, we can apply Fermat's Theorem. This theorem states that if a function f has a local maximum or minimum at c, then f'(c) = 0. Since the point (c, f(c)) is a point of inflection, we can apply Fermat's Theorem to say that f'(c) = 0.

Now, since f'' exists in an open interval that contains c, we can use the fact that if f'(c) = 0, then f''(c) = 0.

Therefore, we can conclude that if (c, f(c)) is a point of inflection of the graph of f and f'' exists in an open interval that contains c, then f''(c)=0.

To learn more about the differentiation of an equations visit:

https://brainly.com/question/25731911.

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Answer:

14.36 AND 9.89 ===> 14 or 10

Step-by-step explanation:

Y =  Ax2 Bx C

Enter coefficients here >>>  -4 97 -568

Standard Form: y = -4x²+97x-568    

-24.25 -12.125 147.015625 -588.0625 20.0625

Grouped  Form: No valid Grouping      

Graphing Form: y = -4(x-12.13)²+20.06    

Factored Form: PRIME    

Solution/X-Intercepts: 14.36 AND 9.89    

Discriminate =321 is positive, two real solutions    

VERTEX: (12.13,20.06)     Directrix: Y=20.13    

Answer:

B

Step-by-step explanation:

16,x+4

by completing square formula

Answer:

c

Step-by-step explanation:

12/18 = 2/3

Answer:c

Step-y-step explanat:c

Answer:

hfwhww45 5h wahdaw 5656 adshjdawh bh4 54

Step-by-step explanation:

5767

12345

Sum of digits = 1+2+3+4+5

= 15

Which means divisible by 3

Ends with 0 or 5 = Yes ends with 5

Therefore the number is divisible by 15

12345÷15 = 823

Divisiblity rule of 15 = Any number is divisible by 15 if the sum of the digits is divisible by 3 and the number ends with a 0 or 5.

Must click thanks and mark brainliest