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3 years ago

Does anyone know the answer to this

Mathematics

1 answer:

algol [13]3 years ago

4 0

Answer:

x² + (y+3)² = 4²

Step-by-step explanation:

A close look at the diagram reveals that the center of this circle is (0, -3) and that the radius is 4 units.

Starting from the general equation of a circle, (x - h)² + (y - k)² = r²

and substituting the givens (h = 0, k = -3, r = 4), we get:

x² + (y+3)² = 4². This is Answer B.

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A drink is made by mixing 650 ml of water with 150 ml of fruit juice.

Luda [366]

<h2>○=> <u>Correct answer</u> :</h2>

$\boxed{\color{hotpink}\tt18.75\%}$ of the drink is fruit juice

<h3>○=> <u>Steps to derive correct answer</u> :</h3>

Quantity of water in a drink = 650 ml

Quantity of fruit juice in a drink = 150 ml

Total quantity of both items in the drink :

$=\tt 650 + 150$

$\color{plum}=\tt 800 \: ml$

Thus, the total quantity of both items in the drink = 800 ml

Let the percentage of of fruit juice in the drink be x%.

Which means :

$= \tt\frac{x}{100} \times 800 = 150$

$= \tt \frac{x \times 800}{100} = 150$

$=\tt \frac{800x}{100} = 150$

$=\tt 8x = 150$

$=\tt x = \frac{150}{8}$

$\hookrightarrow\color{plum} \bold{x = 18.75\%}$

Then, the percentage of water in the drink :

$= \tt100 - 18.75$

$\color{plum}= \tt81.25\%$

Thus, the percentage of water in the drink = 81.25%

<h3>○=> <u>Therefore</u> :</h3>

▪︎Percentage of fruit juice in the drink = 18.75%

▪︎Percentage of water in the drink = 81.75%

8 0

3 years ago

Read 2 more answers

Simplify this expression: -2x + 3 – (5 – 6x). Can someone pls explain how to do this dont just give the awnser

Verizon [17]

Answer:

-2x + 3 – (5 – 6x) = 4x - 2

Step-by-step explanation:

The given expression is :

-2x + 3 – (5 – 6x)

We need to simplify the above expression. First opening the brackets.

-2x + 3 – (5 – 6x) = -2x + 3 – 5 + 6x

Taking like terms together,

= -2x+6x + 3 -5

= 4x - 2

So, the simplified expression is 4x - 2.

5 0

2 years ago

If the measure of angle a is 112 the measure of angle b is 112. True or false.

den301095 [7]

Answer:

False

Step-by-step explanation:

Angles a and b add to 180° (linear pair), so angle b is 68°.

7 0

1 year ago

Decide how each action would affect your credit score.

KengaRu [80]

Answer:

Paying 30 days or more past due could drop your score as much as 100 points.

4 0

3 years ago

If x = 12 and y = 3, what is the value of the following expression?

Natasha_Volkova [10]

Answer:

A: 19

Step-by-step explanation:

x-8+5y

12-8+(5x3)

12-8+15

4+15

I hope this helps

6 0

2 years ago

Read 2 more answers

Does anyone know the answer to this​

Does anyone know the answer to this