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2 years ago

Find the distance between the points (4,-2), (4,-5)

1 answer:

6 0

$\text{Given that,}\\\\(x_1,y_1) = (4,-2)~~ \text{and}~~ (x_2 ,y_2) = (4,-5)\\\\\text{Distance} = \sqrt{(x_2-x_1)^2 + (y_2 -y_1)^2}\\\\~~~~~~~~~~~~=\sqrt{(4-4)^2 + (-5+2)^2}\\\\~~~~~~~~~~~~=\sqrt{0^2+(-3)^2}\\\\~~~~~~~~~~~~=\sqrt{0+9}\\\\~~~~~~~~~~~~=\sqrt 9\\\\~~~~~~~~~~~~=3$

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omar will donate up to $500 to charity. the money will be divided between two charities: the city of youth fund and educational

marshall27 [118]

Answer:

Please refer to the attached graph

Step-by-step explanation:

Knowing the following:

X = amount of money donated to the city youth fund

Y = amount of money donated to the educational growth foundation

We can write the statements in form of equations:

"Will donate up to $500, the money will be divided between two charities"

(a) $X + Y = \$ 500$

"The amount donated to the educational growth foundation to be at least four times the amount donated to the city youth fund"

(b) $Y \geq 4X$

If we graph both equations we can see the area where both conditions are met (see graph attached)

Where the blue line is (a) and the red line is (b)

Shaded area represent all the possible solutions for the donations, for example:

X=100 and Y=400 or

X=50 and Y=200, etc.

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3 years ago

Please answer thanks

nirvana33 [79]

Answer:

Step-by-step explanation:

it's kinda hard to explain

3 0

3 years ago

Five times the sum of a number and 6 equals 3

Sever21 [200]

Answer:

5x+6=3

Step-by-step explanation:

"A number" is a variable.

"Sum" is addition.

"Equals 3" is =3.

"and six" relates to "sum".

So when you put these together it would be 5x+6=3

3 0

3 years ago

Read 2 more answers

Find x and round to the nearest tenth:)

Thepotemich [5.8K]

Answer:

x = 31.8°

Step-by-step explanation:

Applying the Law of Sines, we have:

$\frac{sin(x)}{12} = \frac{sin(75)}{22}$

Multiply both sides by 12

$\frac{sin(x)}{12} \times 12 = \frac{sin(75)}{22} \times 12$

$sin(x) = \frac{sin(75) \times 12}{22}$

$sin(x) = 0.5269$

$x = sin^{-1}(0.5269)$

x = 31.8° (nearest tenth)

8 0

3 years ago

If p is directly proportional to q, and p=9 when q=7.5, find q when p=24.

pishuonlain [190]

<h3>Solution and Explanation:</h3>

If $p$ and $q$ are directly proportional, then they must have a common scalar.

To find $q$ we must first find its scalar. If we let $a$ be the scalar we can form the equation, $ap = q$ .

We are given the information that if $q = 7.5$ then $p = 9$ . We can use that in finding the scalar.

$a \times 9 = 7.5 \\ \frac{a \times 9}{9} = \frac{7.5}{9} \\ a = \frac{75}{90} \\ a = \frac{15}{18}$

Now we can solve for $q$ when $p = 24$ knowing that our scalar is $\frac{15}{18}\\$ .

$ap = q \\ \frac{15}{18} \times 24 = q \\ \frac{360}{18} = q \\ 20 = q$

<h3>Answer:</h3>

$q = 20$ when $p = 24$

4 0

3 years ago