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3 years ago

Distance between (-4,6) and (-1,9)

Mathematics

2 answers:

lisabon 2012 [21]3 years ago

5 0

Answer:

d = 3 sqrt(2)

Step-by-step explanation:

To find the distance between two points we can use the formula

d = sqrt( (x2-x1)^2 + (y2-y1)^2)

d = sqrt( ( -1 - -4) ^2 + (9-6)^2)

d = sqrt( (-1+4)^2 + 3^2)

d = sqrt( 3^2+3^2)

d = sqrt(9+9)

d = sqrt(18)

Simplifying

d = sqrt(9*2)

d = 3 sqrt(2)

Stella [2.4K]3 years ago

3 0

Answer:

3,3

Step-by-step explanation:

absolute both values

|-4,6|=4,6

|-1,9|=1,9

4-1=3

9-6=3

3,3

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ycow [4]

Answer:

1) 4 2)7

Step-by-step explanation:

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4 years ago

What is the answer. to.

nydimaria [60]

I believe it is (2) 60

7 0

3 years ago

What is the circumference, in centimeters, of the circle? Use 3.14 for π. Enter your answer in the box. (the diameter is 24cm)

gizmo_the_mogwai [7]

The circumference of the circle is 75.36 cm.

Step 1: Given data:

Diameter of the circle is 24 cm,

$\pi = 3.14$

Step 2: Formula used and calculation:

Circumference of the circle is $2\pi r$ .

So, Radius, r = 24/2 = 12 cm.

Now, Putting the value in the above formula, we get

2 × 3.14 ×12 = 3.14 × 24 = 75.36 cm.

Hence, the circumference of the circle is 75.36 cm.

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2 years ago

Marcus hired a car service to drive him to the airport. The bill came to $56.80. He gave the driver a 20% tip. How much money di

aleksandr82 [10.1K]

He gave the driver a tip of $11.36

58.80*0.20 = 11.36

4 0

3 years ago

Read 2 more answers

Find the angle of XYZ give your answer to 1 decimal place

miskamm [114]

Answer:

66.4°

Step-by-step explanation:

To find the angle XYZ, we are to use sine rule. For this, we have to first find ∠Z.

Given that: ∠X = 90° (right angle), XY = 6 cm, YZ = 15 cm. Hence:

$\frac{sin(Z)}{XY}=\frac{sin(X)}{YZ}\\\\Substituting:\\\\\frac{sin(Z)}{6} =\frac{sin(90)}{15} \\\\sin(Z)=\frac{sin(90)*6}{15}\\\\sin(Z)=0.4\\\\Z=sin^{-1}(0.4)\\\\Z=23.6^o$

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

90 + ∠Y + 23.6 = 180

113.6 + ∠Y = 180

∠Y = 180 - 113.6

∠Y = 66.4°

∠Y = ∠XYZ = 66.4°

3 0

3 years ago