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3 years ago

Find the distance. -3,5 and 7,-1

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

8 0

Answer:

≈ 11.66 units

Step-by-step explanation:

Given points:

(-3,5) and (7,-1)

To find:

The distance between the given points

The distance between two points is calculated by formula:

d= √((x2-x1)² + (y2-y1)²)

d= √(((7-(-3))² + (-1-5)²) = √(10²+(-6)²)= √136 ≈ 11.66 units

Answer is ≈ 11.66 units

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Use the Distributive Property to expand this expression. z(–6.4 – 3.5x)

dedylja [7]

Answer:

$z\left(-6.4\:-3.5x\right)=-6.4z-3.5zx$

Hence, Option 'C' is true.

Step-by-step explanation:

Given the expression

$z\left(-6.4\:-3.5x\right)$

Apply distributive law: $a\left(b-c\right)=ab-ac$

Here: $a=z,\:b=-6.4,\:c=3.5x$

so the expression becomes

$z\left(-6.4\:-3.5x\right)=z\left(-6.4\right)-z\cdot \:\:3.5x$

$=-6.4z-3.5zx$ ∵ $+\left(-a\right)=-a$

Therefore,

$z\left(-6.4\:-3.5x\right)=-6.4z-3.5zx$

Hence, option 'C' is true.

3 0

3 years ago

What is the additive inverse of -6.

Minchanka [31]

Answer: 6

Step 1: Subtract 6 to get to 0.

-6 - 6 = 0.

Step 2: Add 6.

0 + 6 = 6.

Answer = 6

3 0

2 years ago

PLEASE HELP WILL BRAINLIST IF RIGHT

Kazeer [188]

Answer:4, -1

Step-by-step explanation:

8 0

2 years ago

Draw a line through the origin that has a slope of 4/3

Ket [755]

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the given line represent a proportional relationship, because passes through the origin

we have

$k=\frac{4}{3}$ ---> the constant of proportionality k is equal to the slope

substitute

The linear equation is

$y=\frac{4}{3}x$

To draw a line we need two points

we have (0,0)

To find the other point

assume x=3 and substitute in the equation to solve for y

$y=\frac{4}{3}(3)=4$

The other point is (3,4)

using a graphing tool

Plot the points (0,0) and (3,4)

To graph the line join the points

see the attached figure

6 0

2 years ago

The table shows the results of a survey on people’s favorite fruit. What percent of the people chose strawberry as their favorit

Sphinxa [80]

Answer:

24.2%

Explanation:

The percentage of people choosing strawberry can be calculated as follows:

$Percentage = \frac{PeopleChoosingStrawberry}{TotalNumberOfSurveyedPeople} * 100$

We have:

Number of people choosing strawberry = 15 people

Total number of surveyed people = 17 + 10 + 17 + 3 + 15 = 62 people

Substitute in the above rule to get the percentage as follows:

$Percentage = \frac{15}{62}*100 = 24.19 = 24.2$ %

Hope this helps :)

3 0

3 years ago