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
Ivenika [448]
3 years ago
15

60 POINTS!!! Please Help ASAP

Mathematics
1 answer:
irina1246 [14]3 years ago
7 0

ANSWER

The distance is 10 units.

EXPLANATION

Let us use the distance formula to find the distance between,

(x_1,y_1)=(1,4)

and

(x_2,y_2)=( - 5, - 4)

The distance formula is given by,

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

We plug in the values to get,

d =  \sqrt{( - 5-1)^2 + ( - 4-4)^2}

d =  \sqrt{( -6)^2 + ( - 8)^2}

d =  \sqrt{36+ 64}

d =  \sqrt{100}

d = 10

You might be interested in
Why would I rewrite this
Ratling [72]

You are finding 3 1/6 - 1 5/6.

To solve, you should first change it so that the numerator of the first fraction is greater than the numerator of the second. Note that both have the same denominator (6). Subtract as usual:

3 1/6 = 2 7/6

2 7/6 - 1 5/6 = 1 2/6

1 2/6 is your answer.

~

7 0
4 years ago
Which set of transformations has been performed on triangle ABC to form triangle A’B’C’?
Mice21 [21]
The answer is D, dilation by a scale factor of 2 followed by reflection about the y- axis.
8 0
3 years ago
Read 2 more answers
Explain how to solve 2^x + 1 = 9 using the change of base formula log base b of y equals log y over log b. Include the solution
elena55 [62]

Answer:

x=2.170

Step-by-step explanation:

The given equation is 2^{x+1}=9.

We take logarithm of both sides to base 2 to get:

\log_2(2^{x+1})=\log_29

Apply the power rule of logarithms to get:

x+1=\log_29

We now apply the change of base formula:

x+1=\frac{\log_{10}9}{\log_{10}2}

x+1=\frac{0.9542}{0.3010}

x+1=3.1701

x=3.1701-1

x=2.1701

To the nearest thousandth, x=2.170

7 0
3 years ago
A catering service offers 12 appetizers, 8 main courses, and 4 desserts. A customer is to select 9 appetizers, 3 main courses, a
valentina_108 [34]

Answer:

73920

Step-by-step explanation:

Number of ways to choose 9 appetizers from 12: ₁₂C₉

Number of ways to choose 3 main courses from 8: ₈C₃

Number of ways to choose 2 desserts from 4: ₄C₂

The total number of ways is:

₁₂C₉ × ₈C₃ × ₄C₂

= 220 × 56 × 6

= 73920

5 0
3 years ago
HELP ONE MORE ANSWER PLEASEEEEE
Naddik [55]

Answer:

The length of the rope between the boat and the dock is of 30 feet.

Step-by-step explanation:

Given:

tan(40) ≈ 0.839

Angle of depression = 40 (deg)

Distance between boat and the floor of the ocean = 25.17 feet

If we look into the diagram we can see that,they form 2 right angled triangle.

Where we can say that :

Distance between boat and dock  = Rope's distance = Base of the triangle.

Let the length of the rope be 'x' feet.

Considering the dotted triangle:

tan\ (40) =\frac{opposite}{adjacent}

⇒ tan\ (40) =\frac{25.17}{x}

⇒ tan\ (40)\times x =\frac{25.17}{x}\times x

⇒ tan\ (40)\times x =25.17

⇒ \frac{tan\ (40)\times x}{tan\ (40)}  =\frac{25.17}{tan\ (40)}

⇒ x =\frac{25.17}{0.839}

⇒ x= 30

Length of the rope between the boat and the dock is 'x' = 30 feet.

4 0
3 years ago
Other questions:
  • Find the location of the midpoint of AB, given A(-8,-6) and B(-2,10)
    5·1 answer
  • How do you convert repeating decimals to fractions
    5·2 answers
  • John is living in New York, where the state sales tax is 8%. The total cost of his purchase was $50.00. What was the original pr
    5·1 answer
  • If sin Θ = 5 over 6, what are the values of cos Θ and tan Θ?
    6·2 answers
  • Explain how to factor the following examples. <br><br> A). 4x^4+10x^3+2^2<br><br><br> B). X^2+13x+42
    11·1 answer
  • Identify the relation that is also a function.
    8·1 answer
  • Find the circumference of the circle. Use 3.14 for a. 9 in. The circumference of the circle is about inches.​
    15·1 answer
  • If m ZBAC = 30 and mZDAE = 45, what is m ZDAC?<br> в<br> 30%<br> D<br> 45°<br> A<br> E<br> degrees
    13·2 answers
  • If each □ was replaced with 100, which equation would be correct?
    6·1 answer
  • An average person in the United States throws away 4.5 × 10² grams of trash per day. In 2013, there were about 3.2×106 people in
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!