All categories

4 years ago

HELP ASAP!!!!!!!!!!!!!!!!!!What is the distance between the points (–3, 4) and (–7, 4)?

2 answers:

7 0

By the Pythagorean Theorem:

c^2=a^2+b^2

And then some refer to this as the distance formula...

d^2=x^2+y^2

And when you are dealing with two points...

d^2=(dx)^2+(dy)^2

In this case:

d^2=(-7--3)+(4-4)^2

d^2=(-4)^2+0^2

d^2=16

d=4

So the distance between the two point is 4 units.

(We could have just noticed that the y coordinates were the same and said the distance was just -3--7=4 :P, but the way I worked it is how you will almost always have to.)

sasho [114]4 years ago

5 0

HELP ASAP!!!!!!!!!!!!!!!!!!What is the distance between the points (–3, 4) and (–7, 4)?

A.
0

You might be interested in

Is -8.43 a integer whole number or a rational number ?

s2008m [1.1K]

Answer:

rational number

Step-by-step explanation:

A whole number would be just 8. Nothing behind it.

5 0

4 years ago

Find the given term of each arithmetic sequence 5, 10, 15, 20, ...; 17th term

ira [324]

Answer:

Step-by-step explanation:

So if 5 is the 1st term and 5*1 = 5 then that means that 5*17 = 85 so 85 the answer.

3 0

3 years ago

A special-interest group has conducted a survey concerning a ban on hand guns. Note: A rifle is a gun, but it is not a hand gun.

ivanzaharov [21]

Answer:

a)109 of the surveyed households only own a hand gun and do not support the ban on hand guns.

b)328 of the surveyed households do not own a gun and support the ban on hand guns

c )112 of the surveyed households do not own a gun and do not support the ban on handguns.

Step-by-step explanation:

To solve this problem, we must build the Venn's Diagram of this set.

I am going to say that:

-The set A represents those who own a hand gun.

-The set B represents those who own a rifle

-The set C represents those who support the ban of handguns.

-D represents those who do not own a gun and do not support the ban on hand guns.

We have that:

$A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)$

In which $a$ are those that only own a hand gun, $A \cap B$ are those who own both a handgun and a rifle, $A \cap C$ are those who own a hand gun and support the ban on handguns, and $A \cap B \cap C$ are those who own both a hand gun and a rifle, and also support the ban on hand guns.

By the same logic, we have:

$B = b + (B \cap C) + (A \cap B) + (A \cap B \cap C)$

In which $b$ are those who only own a rifle, and $B \cap C$ are those who own a rifle and support the ban on handguns.

$C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)$

In which $c$ are those who support the ban on hand guns and do not own any handguns.

This diagram has the following subsets:

$a,b,c,D(A \cap B), (A \cap C), (B \cap C), (A \cap B \cap C)$

There were 1000 households surveyed, so:

$a + b + c + D + (A \cap B) + (A \cap C) + (B \cap C) + (A \cap B \cap C) = 1000$

We start finding the values from the intersection of three sets.

Solution:

48 own both a hand gun and a rifle and also support the ban on hand guns.

$A \cap B \cap C = 48$

70 own a hand gun and support the ban on hand guns:

$(A \cap C) + (A \cap B \cap C) = 70$

$A \cap C = 70 - 48$

$A \cap C = 22$

206 own a rifle but no hand gun and do not support the ban on hand guns.

$b = 206$ .

136 own both a hand gun and a rifle:

$(A \cap B) + (A \cap B \cap C) = 136$

$A \cap B = 136 - 48$

$A \cap B = 88$

493 supported the ban on hand guns.

$C = 493$

437 own a rifle:

$B = 437$

267 own a hand gun:

$A = 267$

a) How many of the surveyed households only own a hand gun and do not support the ban on hand guns?

This is the value of $a$ , that we can find from the following equation:

$A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)$

$267 = a + 88 + 22 + 48$

$a = 267 - 158$

$a = 109$

109 of the surveyed households only own a hand gun and do not support the ban on hand guns.

b) How many of the surveyed households do not own a gun and support the ban on hand guns?

This is the value of $c$ , that we can find from the following equation:

$C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)$

$493 = c + 22 + (B \cap C) + 48$

Here, we also have to find $B \cap C$ , that are those who own a rifle and support the ban on hand guns. We can find this from the following equation:

$B = b + (B \cap C) + (A \cap B) + (A \cap B \cap C)$

$437 = 206 + (B \cap C) + 88 + 48$

$B \cap C = 437 - 342$

$B \cap C = 95$

$493 = c + 22 + (B \cap C) + 48$

$493 = c + 22 + 95 + 48$

$c = 493 - 165$

$c = 328$

328 of the surveyed households do not own a gun and support the ban on hand guns.

a) How many of the surveyed households do not own a gun and do not support the ban on hand guns?

This is the value of d, that can be found from the following equation:

$a + b + c + D + (A \cap B) + (A \cap C) + (B \cap C) + (A \cap B \cap C) = 1000$

$109 + 206 + 328 + D + 88 + 22 + 95 + 40 = 1000$

$D = 1000 - 888$

$D = 112$

112 of the surveyed households do not own a gun and do not support the ban on handguns.

6 0

3 years ago

Read 2 more answers

The sum of two consecutive integers is -23. What is the larger number? *

Romashka-Z-Leto [24]

The sum of two consecutive integers is -23.

Let the larger number = x

smaller number = x - 1

Sum = -23

=> x + x - 1 = -23

=> 2x - 1 = -23

=> 2x = -23 + 1 = -22

=> x = -22/2

=> x = -11

Larger number is -11

7 0

4 years ago

Read 2 more answers

Write an algebraic equation for the following. Do NOT solve: 7 less than p is 42

dedylja [7]

Answer:

p - 7 = 42

Step-by-step explanation:

"Less than" might make you think of the < sign, but that's a mistake. The expression 7 is less than p and p = 42."

To find 7 less than a number, you subtract 7 from the number. You start with the number, then subtract 7.

p - 7 = 42

7 0

3 years ago