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2 years ago

Practice: Organizing Information

Mathematics

1 answer:

Morgarella [4.7K]2 years ago

4 0

${(b^n)}^m=b^{nm} \\ \\ {(5^2)}^3=5^{6} \\ \\$

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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

makkiz [27]

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

3 0

2 years ago

Combine like terms: 80 + 50m + 65 + 40m

Nuetrik [128]

Answer:

90m+145

Step-by-step explanation:

80 + 50m + 65 + 40m

90m+145

3 0

2 years ago

Answer Question Pls? I need Help!!

QveST [7]

Answer:

option D

Step-by-step explanation:

Take the two through which the lines passes.

Let it be ( -5 , 0) and ( 0 , -3)

Step 1 : Find slope, m

$Slope,m = \frac{y_2 -y_1}{x_2 - x_1}$

$= \frac{-3-0}{0--5} = \frac{-3}{5}$

Step 2 : Find the equation

$(y - y_ 1) = m( x - x_1)\\\\( y - 0) = \frac{-3}{5} (x --5) \\\\y = -\frac{3}{5}( x + 5 ) \\\\y = -\frac{3}{5}x - 3$

8 0

2 years ago

The product of some negative number and 5 less than three times that number is 12. Find the number.

miv72 [106K]

(x)(3x - 5) = 12
3x^2 - 5x = 12
3x^2 - 5x - 12 = 0
(x - 3)(3x + 4) = 0
x = 3, -4/3
The answer must be negative so the number is -4/3.

Hope this helps!

4 0

3 years ago

A home mortgage is usually borrowed for how long

mash [69]

The traditional home mortgage is usually borrowed for 30 years.

6 0

2 years ago