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Mamont248 [21]
3 years ago
10

Explain step by step ​

Mathematics
2 answers:
Anastaziya [24]3 years ago
4 0
(54-4)(54+4)
(54)^2 -54(4) +54(4) -(4)^2
54^2+0-4^2
54^2-4^2
D is the answer
Neko [114]3 years ago
3 0

Answer:

D

Step-by-step explanation:

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Jon is paid $20 to mow his neighbor's yard. It takes three hours to mow and $2 worth of gasoline. How much does Jon earn per hou
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Jon earns 6 dollars per hour.

We know this because, if he gets paid $20 and buys $2 worth of gasoline, his profit is $18.

Then, we divide 18 by the number of hours he worked, 3, and thus, Jon earns $6/hr.
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3 years ago
HELP ME OUT PLS!!!!!!​
Citrus2011 [14]

Answer:

The measure of angle 7 is 34 degrees.

Step-by-step explanation:

Since a || b, angles 3 and 7 are corresponding angles which are congruent. Therefore, since the measure of angle 3 is 34 degrees, the measure of angle 7 is 34 degrees.

5 0
2 years ago
Two boats left a base camp at bearing of S60°E and S50°W at speeds of 50km/h and 70km/h respectively. Find the distance between
ivolga24 [154]

Answer:

  • 197.93 km

Step-by-step explanation:

Let the base camp is point A and boats' locations after two hours are points B and C.

By connecting the three points together we get a triangle ABC with sides:

  • AB = 50*2 = 100 km
  • AC = 70*2 = 140 km

The angle between AB and AC is:

  • 60 + 50 = 110 degrees (opposite directions from south)

We are looking for the distance BC, which can be found by using the law of cosines:

  • BC² = AB² + AC² - 2AB*AC*cos ∠BAC
  • BC² = 100² + 140² - 2*100*140*cos 110°
  • BC²  = 39176.56 (rounded)
  • BC = √39176.56 = 197.93 km (rounded)

The distance between the boats is 197.93 km.

7 0
1 year ago
Which equation in point-slope form contains the point (4, –1) and has slope 3?
Andrew [12]

Answer:

y+1=3(x-4)

Step-by-step explanation:

Hi there!

We are given a slope of 3 and a point (4,-1).

We need to find the equation of the line in point-slope form

Point-slope form is given as y-y1=m(x-x1), where m is the slope, and (x1,y1) is a point

We have all of the needed information to substitute into the formula

First, let's label the values of everything to avoid any confusion

m=3

x1=4

y1=-1

now substitute into the formula *remember, the formula has SUBTRACTION, and we have a NEGATIVE number, so we'll end up subtracting a negative*

y--1=3(x-4)

simplify

y+1=3(x-4)

That's it!

Hope this helps :)

4 0
3 years ago
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