<h2>Answer: slope = ¹¹/₁₃
</h2><h3>Step-by-step explanation: </h3>
The question gives us two points, (−13, −19) & (13, 3), from which we can find the slope and later the equation of the line.
Finding the Slope
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= ((3 - (-19)) ÷ (13 - (-13))
= 22 ÷ 26
= ¹¹/₁₃
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<em>Checking my answer:</em>
<em>We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. If the line passes through both of the points then we calculated the slope correctly.</em>
⇒ y + 19 = ¹¹/₁₃ (x + 13)
<em>I have included a Desmos Graph that I graphed using the information equation (including the slope) and the points given. </em>
Answer:
![71.63 \: \: \mathrm{cm^2 }](https://tex.z-dn.net/?f=71.63%20%5C%3A%20%5C%3A%20%5Cmathrm%7Bcm%5E2%20%7D)
Step-by-step explanation:
Once we know the diameter of the circle, we can figure out the problem.
The diameter of the circle = The diagonal of the rectangle inscribed in the circle
To find the diagonal of the rectangle, we can use a formula.
![d=\sqrt{w^2 + l^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7Bw%5E2%20%2B%20l%5E2%7D)
The width is 10 cm and the length is 12 cm.
![d=\sqrt{10^2 + 12^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B10%5E2%20%2B%2012%5E2%7D)
![d \approx 15.62](https://tex.z-dn.net/?f=d%20%5Capprox%2015.62)
The diagonal of the rectangle inscribed in the circle is 15.62 cm.
The diameter of the circle is 15.62 cm.
Find the area of the whole circle.
![A=\pi r^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2)
The
is the radius of the circle, to find radius from diameter we can divide the value by 2.
![r = \frac{d}{2}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7Bd%7D%7B2%7D)
![r=\frac{15.62}{2}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B15.62%7D%7B2%7D)
![r=7.81](https://tex.z-dn.net/?f=r%3D7.81)
Let’s find the area now.
![A=\pi (7.81)^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20%287.81%29%5E2)
![A \approx 191.625](https://tex.z-dn.net/?f=A%20%5Capprox%20191.625)
Find the area of rectangle.
![A=lw](https://tex.z-dn.net/?f=A%3Dlw)
Length × Width.
![A = 12 \times 10](https://tex.z-dn.net/?f=A%20%3D%2012%20%5Ctimes%2010)
![A=120](https://tex.z-dn.net/?f=A%3D120)
Subtract the area of the whole circle with the area of rectangle to find area of shaded part.
![191.625-120](https://tex.z-dn.net/?f=191.625-120)
![71.625 \approx 71.63](https://tex.z-dn.net/?f=71.625%20%5Capprox%2071.63)
El precio total por 3 1/2 kg de jitomate que compró Juana es 127.75
Para saber el precio total de los 3 1/2 kg de jitomate que compró Juana debemos hacer el siguiente procedimiento.
Necesitamos saber cuánto vale medio kg de jitomate, para ello dividimos 36.50 en 2.
36.50/2 = 18.25
Luego multiplicamos 36.50 por 3, para saber cuánto valen 3 kg de jitomate.
36.50 X 3 = 109.5
Por último, sumamos el precio de medio kilo con el precio de tres kilos para tener el total que pagó Juana.
109.5 + 18.25 = 127,75
Aprenda más en: brainly.com/question/16170919
If you solve for x the answer is x<-8
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