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3 years ago

Find the distance between points M(-1,-10) and (-12,-3). round to the nearest tenth

Mathematics

1 answer:

Kitty [74]3 years ago

4 0

The formula of the distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have the points (-1, -10) and (-12, -3). Substitute:

$d=\sqrt{(-12-(-1))^2+(-3-(-10))^2}=\sqrt{(-11)^2+7^2}=\sqrt{121+49}=\sqrt{170}$

$\sqrt{170}\approx13.04$

Answer: d ≈ 13.0

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a collection of dimes and quarters is worth $19.85. There are 128 coins in all. How many of each type of coin are in the collect

PolarNik [594]

Number of dimes were 81 and number of quarters were 47

Solution:

Let "d" be the number of dimes

Let "q" be the number of quarters

We know that,

value of 1 dime = $ 0.10

value of 1 quarter = $ 0.25

Given that There are 128 coins in all

number of dimes + number of quarters = 128

d + q = 128 ------ eqn 1

Also given that collection of dimes and quarters is worth $19.85

number of dimes x value of 1 dime + number of quarters x value of 1 quarter = 19.85

$d \times 0.10 + q \times 0.25 = 19.85$

0.1d + 0.25q = 19.85 -------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

d = 128 - q -------- eqn 3

Substitute eqn 3 in eqn 2

0.1(128 - q) + 0.25q = 19.85

12.8 - 0.1q + 0.25q = 19.85

12.8 + 0.15q = 19.85

0.15q = 7.05

Therefore from eqn 3,

d = 128 - q

d = 128 - 47

Thus number of dimes were 81 and number of quarters were 47

4 0

3 years ago

Naomi can run 1/4 mile in 2 minutes. Does Amal or Naomi run faster? How do you know

telo118 [61]

Answer: Yes

Step-by-step explanation:

A: 12 minutesAnswer to B: 36 minutesAnswer to C:

4 0

3 years ago

Nata [24]

Answer:

I tried looking it up, and i found 15 square units. sorry if its wrong :(

Step-by-step explanation:

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3 years ago

Read 2 more answers

Which of the following pairs represent a function

denis23 [38]

Option D: $\{(-9,8),(-5,-8),(-7,8),(-6,-8)\}$ are the ordered pairs represents a function.

Explanation:

Given that the options of the set of ordered pairs.

We need to determine the ordered pairs that represents a function.

Option A: $\{(-12,8),(-15,8),(-5,-8),(-12,-8)\}$

A relation is said to be a function if each element of x is related to exactly one element in y.

From this set of ordered pairs, it is obvious that the element -12 of x is related to two different element in y.

Thus, the ordered pairs $\{(-12,8),(-15,8),(-5,-8),(-12,-8)\}$ is not a function.

Hence, Option A is not the correct answer.

Option B: $\{(8,-9),(-8,-5),(8,-7),(-8,-6)\}$

From this set of ordered pairs, it is obvious that the elements -8 and 8 of x are related to two different element in y.

Thus, the ordered pairs $\{(8,-9),(-8,-5),(8,-7),(-8,-6)\}$ is not a function.

Hence, Option B is not the correct answer.

Option C: $\{(13,-3),(13,0),(13,-1),(13,-1)\}$

From this set of ordered pairs, it is obvious that the element 13 of x is related to three different element in y.

Thus, the ordered pairs $\{(13,-3),(13,0),(13,-1),(13,-1)\}$ is not a function.

Hence, Option C is not the correct answer.

Option D: $\{(-9,8),(-5,-8),(-7,8),(-6,-8)\}$

A relation is said to be a function if each element of x is related to exactly one element in y.

From this set of ordered pairs, it is obvious that the each element of x is related exactly one element in y.

Thus, the ordered pairs $\{(-9,8),(-5,-8),(-7,8),(-6,-8)\}$ is a function.

Hence, Option D is the correct answer.

7 0

3 years ago

Line k has a slope of 2/3. If line m is parallel to line k, then it has a slope of

puteri [66]

Answer:

Line M would also have a slope of 2/3.

Step-by-step explanation:

When two line are parallel that means that they will never intersect.

In order for two lines to avoid intersection they would have to be at the same slope.

Since lines K and line M are parallel to each other they have to have the same slope.

6 0

3 years ago