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Serggg [28]
4 years ago
12

What type of triangle is formed by joining the points D(7, 3), E(8, 1), and

Mathematics
1 answer:
KiRa [710]4 years ago
7 0

D(7, 3), E(8, 1), and  F(4, -1)

We calculate the squared distances between the points:

DE^2 = 1^2 + 2^2 = 5

EF^2=4^2+2^2=20

DF^2=3^2+4^2=25

Since DF^2=DE^2+EF^2 we have a right triangle with hypotenuse DF.

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You are checking a bag at the airport. Your bag weighs 16 pounds plus 2 more pounds for each souvenir you add. How many souvenir
Nana76 [90]

Answer:

16

Step-by-step explanation:

50 - 16 = 34

34 / 2 = 17

34 + 17 = 51, which is too much; so we take 1 souvenir out which would be 16.

Quick check:

34 + 16 = 50

Hope this helps!

7 0
3 years ago
How many solutions does the following equation have?<br><br> 0 = -6|9v - 7|
Lunna [17]

Answer: One solution

Step-by-step explanation:

V=7/9

6 0
3 years ago
Can you write a real world problem that uses Pythagorean theorem ?
elena-14-01-66 [18.8K]

1) Road Trip: Let’s say two friends are meeting at a playground. Mary is already at the park but her friend Bob needs to get there taking the shortest path possible. Bob has two way he can go - he can follow the roads getting to the park - first heading south 3 miles, then heading west four miles. The total distance covered following the roads will be 7 miles. The other way he can get there is by cutting through some open fields and walk directly to the park. If we apply Pythagoras's theorem to calculate the distance you will get:

(3)<span>2 </span>+ (4)2 =

9 + 16 = C2

√25 = C

5 Miles. = C

Walking through the field will be 2 miles shorter than walking along the roads. .

2) Painting on a Wall: Painters use ladders to paint on high buildings and often use the help of Pythagoras' theorem to complete their work. The painter needs to determine how tall a ladder needs to be in order to safely place the base away from the wall so it won't tip over. In this case the ladder itself will be the hypotenuse. Take for example a painter who has to paint a wall which is about 3 m high. The painter has to put the base of the ladder 2 m away from the wall to ensure it won't tip. What will be the length of the ladder required by the painter to complete his work? You can calculate it using Pythagoras' theorem:

(5)<span>2 </span>+ (2)2 =

25 + 4 = C2

√100 = C

5.3 m. = C

Thus, the painter will need a ladder about 5 meters high.

3) Buying a Suitcase: Mr. Harry wants to purchase a suitcase. The shopkeeper tells Mr. Harry that he has a 30 inch of suitcase available at present and the height of the suitcase is 18 inches. Calculate the actual length of the suitcase for Mr. Harry using Pythagoras' theorem. It is calculated this way:

(18)<span>2 </span>+ (b)2 = (30)2

324 + b2 = 900

B2 = 900 – 324

b= √576

= 24 inches

6 0
3 years ago
Find dy/dx by implicit differentiation and evaluate the derivative at the given point.xy = 12, (-4, -3)
mojhsa [17]
Xy=12
xdy/dx + y = 12
xdy/dx = 12 - y
dy/dx= (12-y) /x
dy/dx | x=-4 ,y=-3 = (12-(-3))/(-4)
= (12+3)/-4 = -15/4
4 0
4 years ago
If a=-6 and b=-10 evaluate the following:<br>a + 6​
ser-zykov [4K]

Answer:

-6+-10=-16

Step-by-step explanation:

+ - = -

........

6 0
3 years ago
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