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3 years ago

What is slope between the points (-5,7) and (4,-8)?

1 answer:

3 0

The slope can sometimes be called the gradient, and the equation for the gradient is (y2 - y1)/(x2 - x1). So therefore, you'd do: (-8 - 7)/(4 - -5) which is (-15)/9) which is -1 2/3 or -1.6 (recurring), which is your answer. I hope this helps! Let me know if I've confused you :)

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1. Determine the lateral area of the rectangular prism.*<br> 8 cm<br> 5 cm<br> 9 cm

I am Lyosha [343]

Answer:

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3 0

3 years ago

In ΔOPQ, the measure of ∠Q=90°, the measure of ∠O=26°, and QO = 4.9 feet. Find the length of PQ to the nearest tenth of a foot.

Step2247 [10]

Given:

In ΔOPQ, m∠Q=90°, m∠O=26°, and QO = 4.9 feet.

To find:

The measure of side PQ.

Solution:

In ΔOPQ,

$m\angle O+m\angle P+m\angle Q=180^\circ$ [Angle sum property]

$26^\circ+m\angle P+90^\circ=180^\circ$

$m\angle P+116^\circ=180^\circ$

$m\angle P=180^\circ -116^\circ$

$m\angle P=64^\circ$

According to Law of Sines, we get

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

Using the Law of Sines, we get

$\dfrac{p}{\sin P}=\dfrac{o}{\sin O}$

$\dfrac{QO}{\sin P}=\dfrac{PQ}{\sin O}$

Substituting the given values, we get

$\dfrac{4.9}{\sin (64^\circ)}=\dfrac{PQ}{\sin (26^\circ)}$

$\dfrac{4.9}{0.89879}=\dfrac{PQ}{0.43837}$

$\dfrac{4.9}{0.89879}\times 0.43837=PQ$

$2.38989=PQ$

Approximate the value to the nearest tenth of a foot.

$PQ\approx 2.4$

Therefore, the length of PQ is 2.4 ft.

4 0

3 years ago

One month, Ava purchased a set of 35 stamps. Each month, starting the second month, she purchased 3 more stamps for her collecti

lara31 [8.8K]

35 + 3n= x
x being the total amount of stamps!

is there a substitution for n? or a number of months?

7 0

3 years ago

Read 2 more answers

What are the real and complex solutions of the polynomial equation? x^3-64=0

Marrrta [24]

Answer:

Step-by-step explanation:

A difference of two perfect cubes, x^3 - y^3 can be factored into

(x-y) • (x^2 +xy +y^2) =0 equation 1

x ^3 - 64 = 0

(x)^3 - (4)^3 = 0 equation 2

Now substituting equation 2 into equation 1, we get

(x-4) (x^2+(x).(4) +(4)^2) = 0

(x-4) (x^2+4x+16) = 0

so the solutions are

1) x - 4 =0

x=4

x^2 + 4x + 16 = 0

By using the quadratic formula we get the followig solutions:

- B ± √ B2-4AC

x = ————————

x =(-4-√-48)/2=-2-2i√ 3 = -2.0000-3.4641i

x =(-4+√-48)/2=-2+2i√ 3 = -2.0000+3.4641i

4 0

3 years ago

What can you conclude about the color of the l-bow roni box? helpppppppp

Kazeer [188]

Assuming that the p-value of the color of L-Bow Roni box is below the significance level, the result would be statistically significant and vice-versa.

<h3>What is a confidence interval?</h3>

A confidence interval simply refers to a range of estimated values that defines the probability that a population parameter would fall or lie within it.

In this scenario, we can infer and logically conclude that the p-value of the color of L-Bow Roni box falls below the significance level. Consequently, the result obtained would be statistically significant.

Read more on confidence interval here: brainly.com/question/25779324

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2 years ago