1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
deff fn [24]
3 years ago
12

Barry is trying to calculate the distance between point E(3, 1) and point F(4, 7). Which of the following expressions will he us

e? (6 points)
Mathematics
2 answers:
maxonik [38]3 years ago
6 0
D=√((7-1)^2+(4-3)^2)=√37
pychu [463]3 years ago
4 0

Answer:  \sqrt{(7-1)^2+(4-1)^2}

Step-by-step explanation:

Since, by the distance formula,

The distance between two points (x_1,y_1) and (x_2,y_2) is,

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Therefore, the distance between EF is,

\sqrt{(7-1)^2+(4-1)^2}

Which is the required expression,

EF=\sqrt{(6)^2+(3)^2}

EF=\sqrt{36+9}

EF=\sqrt{45} \text{ unit}


You might be interested in
Is anyone able to figure this out, I can't do this
katrin [286]

Answer:

C. √2 - 1

Step-by-step explanation:

If we draw a square from the center of the large circle to the center of one of the small circles, we can see that the sides of the square are equal to the radius of the small circle (see attached diagram)

Let r = the radius of the small circle

Using Pythagoras' Theorem a^2+b^2=c^2

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

to find the diagonal of the square:

\implies r^2 + r^2 = c^2

\implies 2r^2 = c^2

\implies c=\sqrt{2r^2}

So the diagonal of the square = \sqrt{2r^2}

We are told that the radius of the large circle is 1:

⇒ Diagonal of square + r = 1

\implies \sqrt{2r^2}+r=1

\implies \sqrt{2r^2}=1-r

\implies 2r^2=(1-r)^2

\implies 2r^2=1-2r+r^2

\implies r^2+2r-1=0

Using the quadratic formula to calculate r:

\implies r=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

\implies r=\dfrac{-2\pm\sqrt{2^2-4(1)(-1)}}{2(1)}

\implies r=\dfrac{-2\pm\sqrt{8}}{2}

\implies r=-1\pm\sqrt{2}

As distance is positive, r=-1+\sqrt{2}=\sqrt{2}-1  only

5 0
3 years ago
Read 2 more answers
What fraction of a liter is 270 mL?
dybincka [34]
A liter is equal to 1,000 mL
Meaning, the fraction would be \frac{270}{1000}
8 0
3 years ago
A box is in the shape of a rectangular prism. Andrea is trying to ship boxes of her homemade chocolate chip cookies. The box she
Bas_tet [7]
The box she ship in has the volume of 1440 cubic inch. The cookie box is 60 cubic inch, so if you divided 1440 into 60, you would get 24. So. she can fit 24 cookie boxes into the box to be shipped.
3 0
3 years ago
Read 2 more answers
A weather forecast says that there is a 40% chance of rain today find the odds against rain
san4es73 [151]

Answer:

60%

Step-by-step explanation:

100%-40%-60%

4 0
3 years ago
What is the sale price for an item with an original price of 13.99 after applying a discount of 45%?
Alekssandra [29.7K]

Answer:

7.69

Step-by-step explanation:

13.99 x 0.45 = 6.2955 or 6.3

13.99 - 6.3 = 7.69

3 0
3 years ago
Other questions:
  • NEED HELP I GOT 15MINS%$!
    8·2 answers
  • A sample of 300 guests at Universal Orlando theme parks in 2015 were selected and each was asked whether they were staying at on
    10·1 answer
  • A sundae requires 33 ice-cream scoops and 44 strawberries, and a milkshake requires 22 ice-cream scoops and 66 strawberries. Ram
    7·1 answer
  • 5x + 4 > -6 show your work
    14·2 answers
  • A triangle has two sides that are 6in and 13in. What could the length of the third side of the triangle be?
    5·1 answer
  • Find the product.<br> (s + t)(5s – 7t)
    13·2 answers
  • 17.
    8·1 answer
  • D(−5, –3) and E(9, –3)<br> Find the distance between the points without graphing.
    10·2 answers
  • Write in the missing number <br> 350/ 10 = 350 * ?
    13·1 answer
  • Help please im bad at math
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!