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3 years ago

PLZ HELP! FACTOR THEN SOLVE x2+17x+16=0

2 answers:

6 0

So most likely what this equation would end up being would be 2x + 17x added together t make 19x + 16 = 0

Hpe I helped =)

Marina86 [1]3 years ago

3 0

X2+17x+16=0
(x+1)(x+16)=0
x+1=0 x+16=0
x=-1, x=-16

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What is 2/3 divided by 4/5

Pani-rosa [81]

That is 0.53 , 53/100

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3 years ago

On rainy days, Izzy goes from his house to the school by running 1.2 miles on West St, then makes a 90º turn and runs 0.5 miles

OlgaM077 [116]

Answer:

a) It will take Izzy 0.226 hours = 13.6 minutes = 13 minutes 36 seconds to run to school on dashed days.

b) Izzy runs 1.30 miles on dry days.

c) Izzy saves 3 minutes and 12 seconds cutting through the woods.

Step-by-step explanation:

This problem can be solved by a simpe rule of three problem.

a) On rainy days, she runs 1.2 + 0.5 = 1.7 miles.

The problem states that for rainy days, she runs 7.5 miles per hour. We know that in a hour, Izzy will run 7.5 miles. We want to know how long it takes for her to run 1.7 miles. So

1 hour - 7.5 miles

x hours - 1.7 miles

7.5x = 1.7

$x = \frac{1.7}{7.5}$

x = 0.226 hours

It will take Izzy 0.226 hours = 13.6 minutes = 13 minutes 36 seconds to run to school on dashed days.

b) Now we have a right triangle, where the sides are the 1.2 miles and the 0.5miles, and the path through the woods x is the hypotenuse.

So, we apply the pythagorean theorem.

$x^{2} = (1.2)^{2} + (0.5)^{2}$

$x^{2} = 1.44 + 0.25$

$x^{2} = 1.69$

$x = 1.30$

So, Izzy runs 1.30 miles on dry days.

c) The first step for this question is knowing how long it takes for Izzy to run 1.30 miles at 7.50 miles a hour. So:

1 hour - 7.50 miles

x hours = 1.30 miles

7.50x = 1.30

$x = \frac{1.3}{7.5}$

x = 0.173 hours

So, it takes Izzy 0.173 hours = 10.4 minutes = 10 minutes 24 seconds to run through the woods.

13' 36''

-10' 24''

3' 12''

Izzy saves 3 minutes and 12 seconds cutting through the woods.

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