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Mademuasel [1]
2 years ago
15

three consecutive even integers in which 20 more than twice of the third is 28 more than the sum of the first two integers

Mathematics
1 answer:
Doss [256]2 years ago
5 0

Answer:

what is the answer choices?

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From base camp, a hiker walks 3.5 miles west and 1.5 miles north. Another hiker walks 2 miles east and 0.5 miles south. To the n
levacccp [35]

Answer:

The hikers are 5.9 miles apart.

Step-by-step explanation:

Let O represents the base camp,

Suppose after walking 3.5 miles west, first hiker's position is A, then after going 1.5 miles north from A his final position is B,

Similarly, after walking 2 miles east, second hiker's position is C then going towards 0.5 miles south his final position is D.

By making the diagram of this situation,

Let D' is the point in the line AB,

Such that, AD' = CD

In triangle BD'D,

BD' = AB + AD' = 1.5 + 0.5 = 2 miles,

DD' = AC = AO + OC = 3.5 + 2 = 5.5 miles,

By Pythagoras theorem,

BD^2 = BD'^2 + DD'^2

BD = \sqrt{2^2 + 5.5^2}=\sqrt{4+30.25}=\sqrt{34.25}\approx 5.9

Hence, the hikers are 5.9 miles apart.

8 0
3 years ago
Why are parabolsas used for
JulsSmile [24]

Answer:

Parabolas are frequently used in physics and engineering for things such as the design of automobile headlight reflectors and the paths of ballistic missiles. Parabolas are frequently encountered as graphs of quadratic functions.

8 0
3 years ago
Read 2 more answers
Cheryl, Rita, and four of their friends go to a movie and share a 48-ounce bag of popcorn equally and three 48-inch licorice lac
kvv77 [185]

You divide each total amount by the number of persons Popcorn: 48/6 = 8 Licorice: 3 X 48 = 144 144/6 = 24 So each person ate 8 ounces of popcorn and 24 inches of licorice laces  


4 0
3 years ago
Find the equation of a line perpendicular to −4x+4y=4 that contains the point (−4,5).
kati45 [8]

Answer:

y = - x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange - 4x + 4y = 4 into this form by adding 4x to both sides

4y = 4x + 4 ( divide all terms by 4 )

y = x + 1 ← in slope- intercept form

with slope m = 1

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{1} = - 1, thus

y = - x + c ← is the partial equation

To find c substitute (- 4, 5) into the partial equation

5 = 4 + c ⇒ c = 5 - 4 = 1

y = - x + 1 ← equation of perpendicular line

4 0
3 years ago
Read 2 more answers
2(y+3)=16-what is kate result
defon

Answer:

Y=5

Step-by-step explanation:

https://www.mathpapa.com/algebra-calculator.html?q=2(y%2B3)%3D16

8 0
3 years ago
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