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3 years ago

2. Find the length of segment JK with endpoints J(4,8) and K(-1,-2). Leave answer as a

Mathematics

1 answer:

yuradex [85]3 years ago

3 0

Answer:

Distance of JK = 15 unit

Step-by-step explanation:

Given:

J(4,8)

K(-1,-2)

Find:

Distance of JK

Computation:

Distance = √(x₂-x₁)² + (y₂-y₁)²

Distance of JK = √(-1-4)² + (-2-8)²

Distance of JK = √25 + 100

Distance of JK = √125

Distance of JK = 15 unit

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Josie took a road trip. She drove for 45 minutes at 70 miles per hour. Then she drove 15 minutes at 20 miles per hour. How far d

Hunter-Best [27]

Answer:

Therefore Josie drove 57.5 miles.

Step-by-step explanation:

Speed: The ratio of distance to time.

To find the distance we use the following formula

$Distance= time \times speed$

Given that Josie drove 45 minutes at 70 miles per hour.

$45 \ minutes= \frac{45}{60}\ h=\frac34\ h$

In 45 minutes, she traveled = $(70\times \frac34) \ miles$

=52.5 miles.

The she drove 15 minutes at 20 mile per hour.

$15 \ minutes= \frac{15}{60}\ h=\frac14\ h$

In 15 minutes, she traveled $=(20\times \frac 14) \ miles$

=5 miles

Therefore Josie drove (52.5+5) miles= 57.5 miles.

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3 years ago

2x greater than of equal to -2/3x(4x+4)

ryzh [129]

$x \geqslant - \frac{1}{ {12x}^{2} + 12x }$
（I can be wrong.）

7 0

3 years ago

{[14-2×3]-[18÷(12-3)]}+{42-11×3+[(65-9×5)+3]}

natali 33 [55]

Use Bidmas, solve all the inner brackets (), with first division, then multiplication then addition then subtraction

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3 years ago

What is equivelint in ratio

fgiga [73]

A equivelint ratio is when u can multi or divide by both sides

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3 years ago

Find the area. Round to the nearest hundredth when necessary. Be sure you are showing all work to find each figure.

eimsori [14]

Additional requirements in figure :-

Mark point :-

Draw a straight line from E to AB .

And the point line joins mark it as "F" .

It will generate quadrilateral FBCD.

we get to know In quadrilateral left angle is 90°

How ?

{

proof :

As three angles are given 90° So third angle will also be 90°

Reason:

→ Sum of interior angles = 2 (no. of angles - 2 × 180°

→Sum of interior angles = (4-2 × 180°)

→Sum of interior angles = (2 × 180°)

→Sum of interior angles = 360°

}

✿Now let the left angle be x

90° +90° + 90° + x = 360°
180° + 90° + x = 360°
270° + x = 360
x = 360° - 270°
x = 90°

we know :

Area of rectangle = Length × Breadth

STEPS :

Area of rectangle = Length × Breadth

Area of rectangle = 7 × 8

Area of rectangle = 56 in²

Now let's find EF :

EF = BD - EC

EF = 7 - 4

EF = 3 in

To find A

F :

A•F = AB - CD

A•F = 12 - 8

A•F = 4 in

In triangle AFE:

EF is base of triangle
A•F is height of triangle

We know :

Area of triangle =( Height × Base)/2

Steps :

Area of triangle = (Height × Base)/2
Area of triangle = (4 × 3)/2
Area of triangle = 12/2
Area of triangle = 6 in²

To find area of figure :

Area of figure = Area of rectangle + Area of triangle
Area of figure = 56 + 6
Area of figure = 62 in²

______________________

~WindyMint

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2 years ago