Simplify -5(20 + 3). 85 - 115 -97 -103

Mathematics

1 answer:

Alexxandr [17]3 years ago

4 0

Answer:

-115

Step-by-step explanation:

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A family is driving from Phoenix to San Francisco. On a map grid, Phoenix is located at (–12, –16), and San Francisco is located

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The answer is 34.05

The total distance (D) is the sum of three distances (d1, d2, and d3).

The distance formula is $d = \sqrt{(x2-x1)^{2} +(y2-y1)^{2}}$

Distance 1: Phoenix (–12, –16) to Blythe (–20, –9):
 $d1 = \sqrt{(-20-(-12))^{2} +(-9-(-16))^{2}} =\sqrt{(-20+12)^{2} +(-9+16)^{2}} \\ =\sqrt{(-8)^{2} +(7)^{2}}= \sqrt{64+49} = \sqrt{113}= 10.63$

Distance 2: Blythe (–20, –9) to Los Angeles (–33, –4):
$d2 = \sqrt{(-33-(-20))^{2} +(-4-(-9))^{2}} =\sqrt{(-33+20)^{2} +(-4+9)^{2}} \\ =\sqrt{(-13)^{2} +(5)^{2}}= \sqrt{169+25} = \sqrt{194}= 13.93$

Distance 3: Los Angeles (–33, –4) to San Francisco (–36, 5)
 $d3 = \sqrt{(-36-(-33))^{2} +(5-(-4))^{2}} =\sqrt{(-36+33)^{2} +(5+4)^{2}} \\ =\sqrt{(-3)^{2} +(9)^{2}}= \sqrt{9+81} = \sqrt{90}= 9.49$

D = d1 + d2 + d3 = 10.63 + 13.93 + 9.49 = 34.05

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Answer:

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Step-by-step explanation:

For the triangle, you use the formula A=1/2bh. So in this case it's 3×4×1/2. 3×4 is 12, times 1/2 is 6 m. Now for the rectangle it's just 2×4 which is 8. 8+6 is 14. Hope this helps! If you are still confused please comment!

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Step-by-step explanation:

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