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3 years ago

PLEASE HELP 20 POINTS!

1 answer:

Natasha2012 [34]3 years ago

8 0

Sure you do.

What is the x-intercept ? It's the point where the graph crosses the x-axis.
But y=0 at every point on the x-axis ! So the x-intercept is the point where

5x + 3(0) = k
5x = k
x = 0.2 k

Similarly ... What is the y-intercept ? It's the point where the graph crosses the
y-axis. But x=0 at every point on the y-axis ! So the y-intercept is the point where

5(0) + 3y = k
3y = k
y = k/3

The sum of the x- and y-intercepts is 32.5 .
0.2k + k/3 = 32.5
Multiply each side by 5 :
k + 5k/3 = 162.5
Multiply each side by 3 :
3k + 5k = 487.5
8k = 487.5
Divide each side by 8 :
k = 60.9375 

The x-intercept is (0.2k, 0) = the point (12.1875, 0) .

The y-intercept is (0, k/3) = the point (0, 20.3125) .

Those are the two points. Now it wants you to find the distance between them.
Do you remember how to find the distance between 2 points ?

Find the (difference of their x-values) and square it.
Find the (difference of their y-values) and square it.
Add the two squares together.
Take the square root of the sum.
That's the distance between the points.

(12.1875)² + (20.3125)² = the square of the distance.

If you don't get 23.688 for the distance, then check your arithmetic.

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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. In the equation√n+5

Yuki888 [10]

Answer:

n = 59

Step-by-step explanation:

The given equation of n is $\sqrt{n + 5} - \sqrt{n - 10} = 1$ and we have to solve it for n.

$\sqrt{n + 5} - \sqrt{n - 10} = 1$ ........... (1)

⇒ $\frac{(n + 5) - (n - 10)}{\sqrt{n + 5} + \sqrt{n - 10}} = 1$

{Rationalizing the numerator}

⇒ $\sqrt{n + 5} + \sqrt{n - 10} = 15$ .............. (2)

Now, adding (1) and (2) we get

$2\sqrt{n + 5} = 16$

⇒ n + 5 = 64 {Squaring both sides}

⇒ n = 59 (Answer)

4 0

3 years ago

Will give 5 stars on your answer and a thank you.

DENIUS [597]

Answer:

the variable term is (t)

the answer is 13.50t

4 0

2 years ago

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Plz help me get the answer ASAP please I been stuck on these

nika2105 [10]

$\frac{1}{2}y\leq -7$ Multiply 2/1 or 2 on both sides to get "y" by itself

$(2)\frac{1}{2}y\leq -7(2)$

y ≤ -14

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3 years ago

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Use the fact that the variance of a Poisson distribution is σ2=μ. The mean number of bankruptcies filed per hour by businesses i

lianna [129]

Answer:

Variance = 5

Standard deviation = 2.236

0.2650257

Step-by-step explanation:

For a Poisson distribution is σ² = μ.

Given that:

Mean , μ of bankruptcies files per hour = 5

μ = 5

For a Poisson distribution :

P(x = x) = (μ^x * e^-μ) / x!

The Variance and standard deviation :

Variance : σ² = μ = 5

Standard deviation = sqrt(variance) = sqrt(5) = 2.236

B.) Find the probability that at most three businesses will file bankruptcy in any given hour.

P( x ≤ 3) = P(0) + P(1) + P(2) + P(3)

P(x = 0) = (5^0 * e^-5) / 0! = 0.0067379

P(x = 1) = (5^1 * e^-5) / 1! = 0.0336897

P(x = 2) = (5^2 * e^-5) / 2! = 0.0842243

P(x = 3) = (5^3 * e^-5) / 3! = 0.1403738

0.0067379 + 0.0336897 + 0.0842243 + 0.1403738

= 0.2650257

6 0

3 years ago

3 squares are positioned to form a triangle. the small square is labeled 6 units, medium square is 8 units, and large square is

LuckyWell [14K]

The area of the square of the leg 6 is 36 square units.

The area of the square of the leg 8 is 64 square units.

The area of the square of the hypotenuse square is 100 square units.

The length of the hypotenuse is 10 units.

Formula Used

Area of square, A = $(a)^{2}$

Here, $a$ is the length of the side of the square.

Pythagoras Theorem is given as,

$h^{2} =p^{2} +b^{2}$

Here, $h, p, b$ are the hypotenuse, perpendicular, and the base of a right angle triangle respectively.

Area of the Square of the Leg 6

Length of the edge of the square = 6 units

Area of square = 6*6

= 36 square units

Area of the Square of the Leg 8

Length of the edge of the square = 8 units

Area of square = 8*8

= 64 square units

Area of the Hypotenuse Square and the Length of the Hypotenuse

Applying Pythagoras theorem,

$h^{2} = (8)^{2} +(6)^{2}$

$h^{2} = 64+36$

$h = \sqrt{100}$

$h = 10 units$

Therefore, the area of the hypotenuse square is 100 square units and the length of the hypotenuse comes out to be10 units.

Learn more about area of square here:

brainly.com/question/1658516

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1 year ago