What is the length of each leg of the triangle below?
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9514 1404 393

Answer:

  (x, y) = (2.5, 6.5)

Step-by-step explanation:

I find it easier just to solve the system of equations:

  x + 4 = 3x - 1

  5 = 2x

  x = 5/2 = 2.5

  y = x+4 = 6.5

  (x, y) = (2.5, 6.5)

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Additional comments

The first equation has a positive y-intercept and a positive slope, so makes a triangle with the axes in the 2nd quadrant.

The second equation has a negative y-intercept and a (more) positive slope, so makes a triangle with the axes in the 4th quadrant. The slope is greater for this line, so the lines will intersect in the 1st quadrant. Without more effort, the best estimate at this point is that x and y are both positive and y > 4.

Answer:

[tex] x = \frac{3}{2} + \frac{ \sqrt{5} }{2} ; \: \: x = \frac{3}{2} - \frac{ \sqrt{5} }{2} [/tex]

Step-by-step explanation:

[tex]1 + \frac{1}{ {x}^{2} } = \frac{3}{x} \\ \\ \frac{ {x}^{2} + 1 }{ {x}^{2} } = \frac{3}{x} \\ \\ {x}^{2} + 1 = \frac{3 {x}^{2} }{x} \\ \\ {x}^{2} + 1 = 3x \\ \\ {x}^{2} - 3x + 1 = 0 \\ equating \: it \: with \\ a {x}^{2} + bx + c = 0 \\ a = 1 \\ b = - 3 \\ c = 1 \\ \\ x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ x = \frac{ - ( - 3) \pm \sqrt{ {( - 3)}^{2} - 4 \times 1 \times 1} }{2 \times 1} \\ \\ x = \frac{ 3 \pm \sqrt{ {9 - 4}} }{2} \\ \\ x = \frac{ 3 \pm \sqrt{ {5}} }{2} \\ \\ x = \frac{3}{2} + \frac{ \sqrt{5} }{2} ; \: \: x = \frac{3}{2} - \frac{ \sqrt{5} }{2} [/tex]

Step-by-step explanation:

sqrt(x + 2) - 15 = -3

sqrt(x + 2) = 12 (add 15 to both sides)

x + 2 = 12² = 144 (square both sides)

x = 142.

Answer:

x = 142

Step-by-step explanation:

√x+2 - 15 = -3 (Given)

√x+2 = 12 (Add 15 on both sides)

x + 2 = 144 (Square both sides to get rid of the radical)

x = 142 (Subtract 2 on both sides)

Answer:

I am think so opction (C).....

Answer:

The answer is 52$

Step-by-step explanation:

the ratio converted in fraction is 1/5 by doing 4+1,

now you do 1/5 of 65 total dollars,

so you do 1/5 of 65,

=65/5

=13

jill will get 13$. but the question is asking for how much money did stephanie get. So now we do 13*4 which is 52$.

So stephanie gets 52$

Hope this helps,

Have a great day,

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Answer: $120

Step-by-step explanation:Quick maths.

Answer: 127,500

Step-by-step explanation: I just used a calculator

Answer:

the answer is 127,500

Step-by-step explanation:

Answer:

Step-by-step explanation:

Wrong inequality so no solution

Answer:

One solution ; (2,5)

Step-by-step explanation:

When looking at a graph, the number of times the lines intersect is equal to how many solutions there are.

In this instance, there is only one intersection. Therefore, there is only one solution.

The solution is also that point of intersection. Therefore, the solution here is the point (2,5).

Answer:

the answer is 140

Step-by-step explanation:

Answer:

this might help.......

Step-by-step explanation:

...

The slope of the line segment representing the flight is 0.04.

The slope of a line segment is calculated by dividing the change in the vertical direction (the altitude) by the change in the horizontal direction (the distance traveled). In this case, the change in the vertical direction is 800 meters (800 / 1000 = 0.8 kilometers) and the change in the horizontal direction is 20 kilometers. Therefore, the slope of the line segment is 0.8 / 20 = 0.04.

In other words, for every kilometer that Ron travels, he gains 4 meters in altitude.

Here is the solution in more detail:

Define the variables.

x: The distance traveled in kilometers.

y: The altitude in meters.

Write the equation for the line segment.

The slope of the line segment is 0.04, so the equation for the line segment is y = 0.04x + b.

We know that when x = 0, y = 0, so b = 0.

Substitute the known values into the equation.

We know that x = 20 and y = 800, so we can substitute these values into the equation to get 800 = 0.04 * 20 + 0.

Simplifying the right side of the equation, we get 800 = 0.8.

Solve for the slope.

The slope is 0.8 / 20 = 0.04.

Therefore, the slope of the line segment representing the flight is 0.04.

To learn more about slope here:

https://brainly.com/question/14511992

#SPJ2

Answer:

15

Step-by-step explanation:

$17.7 rounded to $18

$3.25 rounded to $3

$18 - $3 = $15

Answer:

Step-by-step explanation:

As per diagram we have:

As per 30° right triangle property:

Area of triangle:

Answer:

you turn a fraction into a percentage by dividing the numerator by the denominator. then multiply the decimal by 100.

Step-by-step explanation:

Answer:

1489.29

Step-by-step explanation:

Ignore the decimals, and just subtract 375 from 1864. That gives you 1489. Put the decimal values back and you get your answer of 1489.29.

Answer:

yes, kyle is right.

Step-by-step explanation:

4/10 + 2/10 = 6/10

there are 4/10 left after planting which can be reduced by 2 = 2/5

Answer:

No, it is 3/5

Step-by-step explanation:

Because you divide by 2  for both bottom and top of  the fractions and you will get 1/5, and 2/5 and you add them together and you get 3/5.

Answer:

It repeats over and over..

Step-by-step explanation:

Answer:

As such, the elements of a pattern repeat in a predictable manner. A geometric pattern is a kind of pattern formed of geometric shapes and typically repeated like a wallpaper design.

Step-by-step explanation:

Answer:

Graph C

Step-by-step explanation:

Graph C shows a linear relationship

Answer:

For that one is C

Answer: b

i got it right and the answer was b for me

Answer:

The answer to this is...........

Step-by-step explanation:

unknown

or 95

Answer:

95

Step-by-step explanation:

Answer:

The changes in the variable described by the vertical axis are being emphasized.

Step-by-step explanation:

Answer:

P(X ≥ 2) = 0.5967

Step-by-step explanation:

Using binomial probability distribution formula;

P(X = k) = C(n, k) × p^(k) × (1 - p)^(n - k)

two percent of a product are defective. Thus; p = 0.02

a lot of 100 items are ordered. Thus, n = 100

Probability that there are no defective items is;

P(X = 0) = C(100, 0) × 0.02^(0) × (1 - 0.02)^(100 - 0)

P(X = 0) = 0.98^(100) = 0.1326

the probability that there are at least two defective items will be;

P(X ≥ 2) = 1 - P(X < 2)

Now,

P(X < 2) = P(X = 0) + P(X = 1)

P(X = 1) = C(100, 1) × 0.02^(1) × (1 - 0.02)^(100 - 1)

P(X = 1) = 100 × 0.02 × 0.98^(99) = 0.2707

Thus;

P(X < 2) = 0.1326 + 0.2707

P(X < 2) = 0.4033

P(X ≥ 2) = 1 - 0.4033

P(X ≥ 2) = 0.5967

Answer:

54.6 or 1 4/10

Step-by-step explanation:

If you find the 40 percent and add that to 39 (which is 100) you get 54.6.

Answer:

7.5 mins

Step-by-step explanation:

60 ÷ 8 = 7.5

hope it's right

Answer:

B

Step-by-step explanation:

they are two 90° .so B is correct I think

Answer:

B)

ΔSRQ ∼ ΔVUT

Step-by-step explanation:

The angles in the order SQR match VUT

Please mark me brainliest if this helped. :)

Answer:

4/6 of a pizza.

Step-by-step explanation:

We know that:

Both pizzas are of the same size.

Jasmine cut her's into 12 slices.

Kelly cut her's into 6 slices, and ate 2 slices, then Kelly ate 2/6 of a pizza.

Jasmine ate X of a pizza, and we know that between them ate a total of 1 pizza.

This means that:

X of a pizza + 2/6 of a pizza = 1 pizza

X + 2/6 = 1

X = 1 - 2/6

X = 6/6 - 2/6 = 4/6

Jasmine ate 4/6 of a pizza, knowing that she cut her's into 12 slices, this would mean that she ate 8/12 of a pizza, or 8 slices.

Answ

yes it is

Step-by-step explanation:

Answer:

$11/hr

Step-by-step explanation:

$319 divided by 29 hours she worked= getting paid 11/hr