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tia_tia [17]
3 years ago
6

Please help me find the distance between the points (5,4) and (1,-2) and express the answer in simplest radical form.

Mathematics
1 answer:
finlep [7]3 years ago
7 0
The distance between two points can be calculated using the following formula:
distance = sqrt [ (x2-x1)^2 + (y2-y1)^2]

Now, we are given the two points (5,4) and (1,-2)
Substitute with the given points in the above equation to get the distance as follows:
distance = sqrt [(1-5)^2 + (-2-4)^2]
distance = sqrt [16+36] = sqrt[52]
distance = 2√13 = 7.2111 units

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1. Find the value of
spin [16.1K]

9514 1404 393

Answer:

  1. -√5
  2. 3/5
  3. -4/5

Step-by-step explanation:

The relevant relations are ...

  sec = ±√(tan² +1)

  cos = 1/sec

  csc = 1/sin = ±1/√(1 -cos²)

Sine and Cosecant are positive in quadrants I and II. Cosine and Secant are positive in quadrants I and IV.

__

1. sec(θ) = -√((-2)² +1) = -√5

2. cos(θ) = 1/sec(θ) = 1/(5/3) = 3/5

3. csc(θ) = -1/√(1 -(-3/5)²) = -√(16/25) = -4/5

8 0
2 years ago
Two of the solutions for the equation 2x + 3y = 12 are (9
jolli1 [7]
X=<span><span><span>‌<span><span>−3/</span>2</span></span>‌y</span>+<span>6 is the answer to your problem I think

</span></span>
5 0
3 years ago
Read 2 more answers
Evaluate (18)^2-(15)^2<br> Please show working.
dexar [7]

Answer:

99

Step-by-step explanation:

You can solve it by Squaring/multiply 18 by itself and 15 by itself then subtract them both:

(18 × 18) - (15 × 15)

324 - 225

99

You could also do difference of two squares:

(x² - y²)

= (x + y) (x - y)

= (18 + 15) (18 - 15)

= (33) (3)

= 99

8 0
3 years ago
Read 2 more answers
Caitlin has 4 3/4 pounds of clay . She uses 1 1/10 pounds to make a cup ,and another 2 pounds to make a jar , how many pounds ar
Brut [27]
There are 33/20 or 1.65 pounds left.

Given:
4 3/4 pounds of clay
1 1/10 pounds of clay for a cup
2   pounds of clay for a jar

Convert the mixed fraction into fractions.
4 3/4 = (4*4+3)/4 = 19/4
1 1/10 = (1*10+1)/10 = 11/10
2 = 2/1

19/4 - 11/10 = (19/4 *5/5) - (11/10 * 2/2) = 95/20 - 22/20
= (95-22)/20 = 73/20 or 3.65 pounds after making a cup  

73/20 - 2/1 = 73/20 - (2/1 * 20/20) = 73/20 - 40/20 = 73 - 40 / 20 = 33/20  OR 1.65 pounds left after making a jar.


We can also convert the fractions into decimal numbers.
19/4   = 4.75
11/10 = 1.10
2/1     = 2.00

4.75 - 1.1 - 2 = 1.65 pounds left.


5 0
3 years ago
Explain what needs to be fixed.<br> 2n + 10 = -2<br> 2n = 12 Step one<br> n = 6 Step two
Brilliant_brown [7]

Answer:

step one needs to be fixed... you are supposed to subtract 10 from both sides of the equation.

Step-by-step explanation:

STEP 1: Move all terms not containing n to the right side of the equation.

2n=-12

STEP 2: Divide each term by 2 and simplify.

n=-6

8 0
3 years ago
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