Solve this system of equations
3x+4y=36
y= -1/2x+8

x=
y=

Answer:

x = 5

Step-by-step explanation:

set JN and NL equal to each other...

14x – 17 = 3x + 38

11x = 55

x = 5

Volume = [tex] \sf{\pi r^2 h} [/tex]

[tex] = \sf{3.14 \times {17}^{2} \times 14 } = \sf{12704.45~cm^3} [/tex]

Answer:

1. AB= 8.94,

2. AB= 7.28

3. AB= 16.4

4. AB= 19.21

Step-by-step explanation:

This is fun! Well you have to find the (1,4) (or point e) point and count the distance to the other points point a and point b.

4 units from a to e and 8 b to e

a² + b² = c²

8² + 4² = c²

64 +16 = c

√80 = √c²

8.94 = c

It dose not matter which units you plug in for a and b but c has to be the long side of the triangle/ hypotonuse.

Follow the same steps for the rest of the problems.

On proplems 3 and 4 plot points first you can subtract the x-x and y-y as a short cut to find the units.

Answer:

im not so sure but here what i got

Step-by-step explanation:

(252)(x)−3=125x+1

125x=625x−4

Answer:

32%

Step-by-step explanation:

25 - 19 = 6

6 divided by 19 = 0.315

round to the nearest percent, 32%

Answer:

85

Step-by-step explanation:

9514 1404 393

Answer:

  x ≈ 2.367796

Step-by-step explanation:

There are a number of ways to use "successive approximation" to find a solution to an equation. You have not specified the method or the required accuracy.

__

One of the more tedious is the bisection method, which computes the value of the function at the midpoint of an interval, to see if that midpoint should be a new interval bound. This method requires about 3 iterations per decimal place of the answer.

Another method is the secant method. It computes the x-intercept of the secant line joining the points at the ends of the interval containing the solution. The function value at this x-intercept is used to see if that point should be a new interval bound. This method converges slightly faster than the bisection method. It is speeded by adjusting both ends of the interval.

Newton's method iteration converges at a quadratic rate, nearly doubling the number of correct decimal digits at each iteration. This works in a fashion similar to the secant method, except the x-intercept is computed from the function value and its derivative, not from points at the ends of an interval.

__

We assume you want the solution to ...

  x^2 -5 = √(x -2)

This is conveniently reformulated to ...

  x^2 -5 -√(x -2) = 0

so that we're seeking a zero of the function on the left.

The attached shows several iterations of the secant method. The function g is used to compute the x-intercept point on the line between (x1, f(x1)) and (x2, f(x2)). Then f(g( )) computes the function value at that x-intercept. We have used that to decide what the next interval limits (x1, x2) could be.

Our final guess at x is ...

  x ≈ 2.367796 . . . . secant method

which gives an error less than 10^-5 between the left- and right-sides of the equation.

_____

Additional comments

At the bottom of the attachment is the Newton's Method iterator. The nice thing about this graphing calculator is that it displays the result of computing h(x) even as the value of x is being typed. This means you can type what you see and achieve full calculator precision for the solution in basically one pass. This method gives x = 2.36779701571.

Some hand-held graphing calculators have a derivative function built-in, so it is practical to use them to perform Newton's method iteration in substantially the same way.

Answer:

1/4

Step-by-step explanation:

Answer:

15/60 simplified equals:

1/4

Step-by-step explanation:

In the fraction 15/60, 15 is the numerator and 60 is the denominator.

When you ask "What is 15/60 simplified?", we assume you want to know how to simplify the numerator and denominator to their smallest values, while still keeping the same value of the fraction.

We do this by first finding the greatest common factor of 15 and 60, which is 15.

Then, we divide both 15 and 60 by the greatest common factor to get the following simplified fraction:

1/4

Answer:

a=21.1

Step-by-step explanation:

You can use the given (incorrect) equation and fill in the value of t to find h:

 h = 12.5 +9sin(750(3.5)) = 3.68 . . . . feet

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Or, you can use the correct equation, or just your knowledge of revolutions:

 h = 12.5 +9sin(750(2π·3.5)) = 12.5 . . . . feet

in 3.5 minutes at 750 revolutions per minute, the propeller makes 2625 full revolutions, so is back where it started — at 12.5 feet above the ground.

Answer:

A. 3.1 feet is the answer i believe.........

Step-by-step explanation:

Answer:

slope=15÷10=1.5 or 3/2

Step-by-step explanation:

slope=rise÷run

10 right 15 up

slope=15÷10=1.5 or 3/2

The slope is calculated as the ratio of the rise and run. The slope of the given line will be [tex]\dfrac{3}{2}[/tex].

In mathematics, slope refers to the measure of the steepness or inclination of a line. It describes how much a line slants or rises/falls as it moves horizontally.

A positive slope means the line is upward-sloping, rising from left to right, while a negative slope indicates a downward-sloping line.

The slope can be calculated by the ratio of the rise and the run. The points on the given graph are A(10,30) and B(20,45). The slope is calculated by the formula written below,

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

The slope of the line is calculated below

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}\\m = \dfrac{45-30}{20-10}\\m = \dfrac{3}{2}[/tex]

The slope of the line will be  [tex]\dfrac{3}{2}[/tex].

To know more about slope follow

https://brainly.com/question/14511992

#SPJ6

Answer:

Purchase Price:

$432

Discount:

(432 x 30)/100 = $129.60

Final Price:

432 - 129.60 = $302.40

Step-by-step explanation:

Answer:

About $129

Step-by-step explanation:

30% of $432.43 rounds to 30% of $430 = .3 x 430 = About $129 dollars

Hope that helps!

Now we have to,

Write a word problem for the equation,

→ 2/6 × 3/4

Let's write a word problem,

Nobita had got salary, then he spent his 2/6 of his salary for every 3/4 times. How much he had spent totally (in fraction), give the required expression?

Answer:

the awnser should be. c

Step-by-step explanation:

because shes cutting them which divides them

Answer:

Step-by-step explanation:

Volume of cylinder:  V = π×r² × h

diameter = 20 cm  ⇒  r = 10 cm

h = 2 cm

Volume:

V = π×(10)²×2 = 200π cm³ = 628.318.... cm³ ≈ 628.3 cm³

Answer:

33.2

Step-by-step explanation:

41.5÷1.25=

33.2

Answer:

31.6 or 31 6/10 or 31 3/5

Step-by-step explanation:

39.5/1.25 = 31.6

Jack gets 31.6 miles per gallon.

.25 = 1/4

.5 = 1/2

Answer:

I'm sorry I know nothing about this but I hope this helps

Answer:

B

Step-by-step explanation:

8a+24

Answer:

The average depth of five lakes is 229m. If none of the lakes is less than 194m deep then the greatest possible depth of one of these lakes in meters is,

Answer:

369

Step-by-step explanation:

* = Multiply

5*229=1145
Lakes * Average = Total Average Depth of Five Lakes

(1145-369)/4=194 (it worked)
4 is the other lakes, 369 would be considered the largest lake.
Answer is 369.

Cheers, iYekria

Answer:

x=30° y=4

Step-by-step explanation:

[tex] \frac{y}{8} = \frac{2.5}{5} [/tex]

cross multiple

5y=8(2.5)

5y=20

divide 5 by 20

and you should y=4

since the polygons are similar x should have the same degrees as the bigger polygon

Answer: Y=4

Step-by-step explanation

Since the inside of a triangle is 180 degrees the 30 degrees plus the 90 degree corner minus the total inside degree so the other corner is 60 degrees. the dialation is 62.50  percent or .625 in decimal form which makes the vareable  y equals 4 once you divide 2.5 by .625

Your welcome for the help :)

Answer:

(3,-7)

(-8,48)

(-4,28)

(8,-32)

(-3,23)

Step-by-step explanation:

To solve, just put in the x value from the table as the x value in the equation. Then solve to get y.

Hope it helps!

Answer: 80 ft²

Step-by-step explanation:

The area of a trapezoid is one half  the product of the height and the sum of the lengths of the  bases.

(6 + 10) * 0.5 * 10 = 80 (ft²)

Answer:

area of big rectangle=l×b=12×18=216cm²

area of smaller square=l²=8²=64cm²

area of shaded area =area of (bigger rectangle-smaller square)=216-64=152cm²

Answer:

-2 and 4

Step-by-step explanation:

not 100% sure but i think so

Answer: 4 + -6 = -2

Explanation: it’s technically 4-6 which also equals -2