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2 years ago

Please answer with explanation

Mathematics

1 answer:

Nitella [24]2 years ago

7 0

Answer:

y = 2x + 1

Step-by-step explanation:

Line is passing through the points (-3, - 5) and (4, 9)

Slope of the line (m) $=\frac{-5-9}{-3-4}=\frac{-14}{-7}=2$

Equation of line in given as:

$y - 9 = 2(x - 4) \\ \\ y - 9 = 2x - 8 \\ \\ y = 2x - 8 + 9 \\ \\ y = 2x + 1$

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Knowing that this number, the Golden Ratio, is present not just in mathematics, but may also be present within your own brain an

pychu [463]

The Golden Ratio is a mathematical relationship that exists in art, shapes, nature and the human body. The golden ratio can be present in your body, from the length of your arms and legs when compared to your torso. Fingers is another example because the length of our fingers, each section from the tip of the base to the wrist is larger than the preceding.

The measurement of the human navel to the floor and to the top of the head to the navel is also the Golden ratio. Plastic surgeons and dental surgeons use it to reconstruct the human face. It also appears in everything around us like in the nature and science. It appears on in flower petals because it is believed that each petal is placed to so that each petal gets the best exposure to sunlight. Dolphins, starfish, sea urchins and honeybees also exhibit the proportion like humans. DNA molecules measures 34 angstroms by 21 angstroms at each full cycle of the double helix spiral, these two number are successive numbers. I think that the Golden Ratio is just a freak coincidence that happened.

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2 years ago

A tank has dimensions of 12m x 8m x 5 meters using an iron sheet. The tank is open at the top. If the sheet is 4m wide, what is

Salsk061 [2.6K]

Answer:Length if tank=12m

Step-by-step explanation:

Dimension of tank is 12m by 8m by 5m

Which is length × breadth × heigh

6 0

2 years ago

Read 2 more answers

Solve the system using elimination.

Shalnov [3]

Answer:

After simplifying we get (x,y) as (1,3).

Step-by-step explanation:

Given:

$x+7y=22$ ,

$x-7y=-17$

We need to use elimination method to solve the and simplify the equations.

Solution;

Let $x+7y=22$ ⇒ equation 1

Also Let $4x-7y=-17$ ⇒ equation 2

Now by solving the equation we get;

first we will Add equation 2 from equation 1 we get;

$(x+7y)+(4x-7y)=22+(-17)\\\\x+7y+4x-7y=22-17\\\\5x=5$

Now Dividing both side by 5 using division property of equality we get;

$\frac{5x}{5}=\frac{5}{5}\\\\x=1$

Now Substituting the vale of x in equation 1 we get;

$x+7y=22\\\\1+7y=22$

subtracting both side by 1 using subtraction property of equality we get;

$1+7y-1=22-1\\\\7y=21$

Now Dividing both side by 7 using division property of equality we get;

$\frac{7y}{7}=\frac{21}{7}\\\\y=3$

Hence we can say that, After simplifying we get (x,y) as (1,3).

4 0

2 years ago

Rewrite f(x)=2(2-1)^2+3 from vertex form to standard

Ostrovityanka [42]

F(x)=3^2+3
F(x)=6+3
F(x)=9

6 0

3 years ago

8.46 If 100 is decreased by a% and the result is decreased by b%, then what is the total percent decrease (in terms of a and b)?

Marysya12 [62]

Answer:

The total percent decrease is $a+b-\frac{a b}{100}$

Step-by-step explanation:

We are given with a word problem
We are asked to find the total percentage decrease
We can do this in two steps

Step 1: Finding the two percentage decrease

Step 2: Finding their difference

Step 1 of 2

Let the decrease by a% be 100-a

Then b% decrease is

$\begin{aligned}\frac{b}{100} \times(100-a) &=\frac{100 b-a b}{100} \\\frac{100 b}{100}-\frac{a b}{100} &=b-\frac{a b}{100}\end{aligned}$

Step 2 of 2

The percentage difference between the two percentages is,

$\begin{aligned}&(100-a)-\left(b-\frac{a b}{100}\right)=100-a-b+\frac{a b}{100} \\&100-a-b+\frac{a b}{100}=100-\left(a+b-\frac{a b}{100}\right)\end{aligned}$

Since 100 is the total percent $a+b-\frac{a b}{100}$ is the percentage decrease.

3 0

1 year ago