The permiter of a triangle is 100 feet. the longest side is 3 feet less than twice the shortest side, and the third side is 7 feet longer than the shortest side. find the lengths of the sides of the triangle

Answer:

x = 5

Step-by-step explanation:

Complementary angles are two angles whose sum is 90º

So, if we have two complementary angles 7x and 11x we know that their sum is 90

We are going to write the equation and solve for x:

[tex]7x+11x=90\\18x=90\\x=90/18\\x= 5[/tex]

Therefore, x would be 5. And the angles would be 7(5) = 35º and 11(5) = 55º

f(x) = x^2-25

 inverse:

y = x^2-25

x = y^2-25

y = sqrt(5 +25)

 Answer is B

Answer:

it will be 4

Step-by-step explanation:

Answer:

3 - 5.5 +1.5

Step-by-step explanation:

LEts analyze the given number line

We always start with 0

Arrow goes 3 units to the right, so we put positive 3

from 3 , the arrow ends at -2.5. Arrow goes to the left so we subtract to find the distance. -2.5-3= -5.5

from -2.5 we add 1.5 to reach -1

So the expressio becoems 3 and then subtract 5.5 and then add 1.5

3 - 5.5 +1.5

The range of the composition is:

R (-∞, 3)

How to find the range?

We have the functions:

u(x) = -2x² + 3

v(x) = 1/x

The composition gives:

(u o v)(x) = -2*v(x)² + 3

(u o v)(x) = -2(1/x)² + 3

Now, as x tends to infinity, the first term tends to zero (because the denominator is to large) then the function has an upper bound at 3.

Then as x decreases, the function decreases, when x tends to zero, the function tends to negative infinity.

So the range is:

R (-∞, 3)

Answer:

60

Step-by-step explanation:

Answer:  The hexagon will rotate onto itself at 60°.

Step-by-step explanation:

A hexagon is a regular polygon with six sides) having all its sides and all its angles are equal.

For a regular polygon , Order of rotation of the figure = Number of sides .

i.e.  Order of rotation for hexagon = 6

Let [tex]\theta[/tex] be the angle at which hexagon rotate onto itself, then we have

[tex]\theta=360^{\circ}\ \div6=60^{\circ}[/tex]   [∵One complete rotation= [tex]360^{\circ}[/tex]]

Hence, The hexagon will rotate onto itself at 60°.

The given values of x, the corresponding values of y are:

1. When x = -2, [tex]\(y = \frac{19}{4}\)[/tex]

2. When x = -1, [tex]\(y = \frac{13}{4}\)[/tex]

3. When x = 0, [tex]\(y = \frac{7}{4}\)[/tex]

Let's solve the equation [tex]\(6x = 7 - 4y\)[/tex] for y:

[tex]\[6x = 7 - 4y\][/tex]

First, isolate the term with y:

[tex]\[4y = 7 - 6x\][/tex]

Next, divide both sides by 4 to solve for y:

[tex]\[y = \frac{7 - 6x}{4}\][/tex]

Now, we can find the values of y for each given value of x:

1. For x = -2:

 [tex]\[y = \frac{7 - 6(-2)}{4} = \frac{7 + 12}{4} = \frac{19}{4}\][/tex]

2. For x = -1:

 [tex]\[y = \frac{7 - 6(-1)}{4} = \frac{7 + 6}{4} = \frac{13}{4}\][/tex]

3. For x = 0:

[tex]\[y = \frac{7 - 6(0)}{4} = \frac{7}{4}\][/tex]

Therefore, for the given values of x, the corresponding values of y are:

1. When x = -2, [tex]\(y = \frac{19}{4}\)[/tex]

2. When x = -1, [tex]\(y = \frac{13}{4}\)[/tex]

3. When x = 0, [tex]\(y = \frac{7}{4}\)[/tex]

Complete question:

Solve equation for y. Then find the value of y for each value of x.

6x = 7 - 4y; x = -2, -1, 0

Final answer:

To solve the equation 6x = 7 - 4y for y, subtract 7 from both sides and divide by -4 to isolate y.

Explanation:

To solve the equation 6x = 7 - 4y for y, we need to isolate y on one side of the equation. First, we can move the 7 to the other side by subtracting it from both sides:

6x - 7 = -4y

Next, we can divide both sides by -4 to solve for y:

y = (6x - 7) / -4

Answer:

Bean plant grew faster .

Step-by-step explanation:

As given

Plants A birch tree grew 2.5 inches in five months.

i.e 2.5 inches = 5 months

Now calculate birch tree in one month .

[tex]Birch\ tree\ grew\ in\ one\ month = \frac{2.5}{5}[/tex]

                                                               = 0.5 inches

As given

A bean plant grew 8 inches in 10 months.

i.e 8 inches = 10 months

Now calculate bean plant in one month .

[tex]Bean\ plant\ grew\ in\ one\ month = \frac{8}{10}[/tex]

                                                                = 0.8 inches

As given

It rosebush grew 5 inches in eight months.

i.e 5 inches = 8 months

Now calculate rosebush in one month .

[tex]Bean\ rosebush\ in\ one\ month = \frac{5}{8}[/tex]

                                                                = 0.63 inches (Approx)

Therefore Bean plant grew faster .

Answer:

63 and 59 are correct

Step-by-step explanation:

Answer:

f(x) = sqrt(x-5) Domain: all real numbers greater or equal to 5 f(x) = 7/(x-8) Domain: all real numbers except 8 f(x) = sqrt(x) Domain: all positive real numbers and 0 f(x) = 8x Domain: all real numbers The domain of a function is the set of all numbers for which that function is valid.

Step-by-step explanation:

the first one because all the other ones are wrong

Answer: the correct answer would be 8.8 ft/s

The width of the pasture is 210 feet.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

We are given that pasture is twice as long as it is wide. its area is 88,200 ft2.

If the width is w and the length is l, then the length is 2w=l.

In addition,

The area of the rectangle = length × Width

l x w=88200

Using the area formula, Plugging 2w in for l, we get ;

2w x w = 88200

88200= 2w².

Now Dividing both sides by 2, we get;

w²=44100

w= √(44100)

w =210.

Learn more about the area;

https://brainly.com/question/1658516

#SPJ2

-18 +3(5x-2)+8=46

-18 + 15x-6 +8 = 46

-18 + 15x +2 =46

-16 +15x =46

15x = 62

x = 62/15 = 4.1333

The other two zeros, which are x = 5 and x = -4.

To find the zeros of the polynomial f(x) = x³ − x² − 20x, we need to set the polynomial equal to zero and solve for x. This can be done by factoring out the common term x from each term of the polynomial:

f(x) = x(x² - x - 20) = 0

The zeros of the polynomial will be the values of x for which the product is zero. Since we already have x as one factor, one zero is x = 0. We then need to factor the quadratic, which is:

x² - x - 20

We can factor this quadratic to

(x - 5)(x + 4)

Thus, the other two zeros of the polynomial are x = 5 and x = -4.