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Tcecarenko [31]
3 years ago
15

how for is Blaine's house if you must drive 6.5 hours through the woods at an average of 45mph to get there?

Mathematics
1 answer:
omeli [17]3 years ago
3 0
Six and a half hours at a speed of 45 mph. 45 mph is forty five miles per hour. since there are six full hours, multiply six (time) by speed (45) to get the distance within the six full hours, which is 270 miles. you also have an additional half hour at a 45 mph speed, so rather than going 45 miles in one hour, you for half an hour, meaning you go 22.5 miles. add these two together (270 + 22.5) to get 292.5 miles. a faster way to get to this would be to multiply 6.5 * 45. hole this helps!
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I need an answer soon, please! Whoever answers first will get Brainliest!!! Please no troll answers!
Colt1911 [192]

Answer:

x = 8, and y = 12

Step-by-step explanation:

There are 2 variables, so you need 2 equations to form a system of equations in two variables.

The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.

First equation:

100 + 2x + y + 5x + y = 180

Simplify:

7x + 2y = 80     (First equation)

Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.

Second equation:

2x + y = 5x - y

Simplify:

3x - 2y = 0    (Second equation)

Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.

7x + 2y = 80

3x - 2y = 0

Solve the second equation for 2x.

3x = 2y

Now replace 2y in the first equation with 3x.

7x + 3x = 80

10x = 80

x = 8

Replace x with 8 in the second equation.

3(8) - 2x = 0

24 = 2x

x = 12

Answer: x = 8, and y = 12

8 0
3 years ago
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Step-by-step explanation:

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3 years ago
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aliina [53]
X = 9 is the only choice that is not a solution.

Explanation:
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The\ vertex\ form:\\\\f(x)=a(x-h)^2+k

\text{Use}\ (a+b)^2=a^2+2ab+b^2\qquad(*)

g(x)=4x^2+88x=4(x^2+22x)=4(x^2+2\cdot x\cdot11)\\\\=4(\underbrace{x^2+2\cdot x\cdot11+11^2}_{(*)}-11^2)=4[(x+11)^2-121]=4(x+11)^2+(4)(-121)=4(x+11)^2-484

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