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2 years ago

I am thinking of two numbers.

Mathematics

2 answers:

ankoles [38]2 years ago

8 0

Step-by-step explanation:

Let x and y be the 2 numbers, where x has a greater value than y.

We have x - y = 2 and x + y = 14. Adding the 2 equations up, we get 2x = 16, x = 8.

Then (8) + y = 14, y = 6.

Since the numbers are 8 and 6, the product is 48.

taurus [48]2 years ago

5 0

Answer:

6 and 8

Step-by-step explanation:

6+8=14 difference 2

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Find an equation of the circle that satisfies the given conditions.

hodyreva [135]

The equation of a circle:
$(x-h)^2+(y-k)^2=r^2$
(h,k) - the coordinates of the centre
r - the radius

The midpoint of the diameter is the centre of a circle.
The coordinates of the midpoint:
$(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$
(x₁,y₁), (x₂,y₂) - the coordinates of endpoints

$P(-1,1) \\
x_1=-1 \\ y_1=1 \\ \\ Q(5,9) \\ x_2=5 \\ y_2=9 \\ \\
\frac{x_1+x_2}{2}=\frac{-1+5}{2}=\frac{4}{2}=2 \\ \frac{y_1+y_2}{2}=\frac{1+9}{2}=\frac{10}{2}=5$

The centre of the circle is (2,5).

The radius is the distance between an endpoint of the diameter and the centre.
The formula for distance:
$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$(-1,1) \\ x_1=-1 \\ y_1=1 \\ \\ (2,5) \\ x_2=2 \\ y_2=5 \\ \\ d=\sqrt{(2-(-1))^2+(5-1)^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5$

The radius is 5.

$(x-2)^2+(y-5)^2=5^2 \\
\boxed{(x-2)^2+(y-5)^2=25}$

4 0

2 years ago

Write an algebraic expression for the word phrase.

vovangra [49]

Answer:

0.30 m

Step-by-step explanation:

<u>Explanation</u>:-

Given data is 30 % of m

Algebraic expression:-

The form of the algebraic expression is ax+ by +c

Given data is 30 % of m

here 'of' meaning is multiplied of given term

therefore $\frac{30}{100} X m$

The algebraic expression is 0.30 m

6 0

3 years ago

Read 2 more answers

Can someone help me graph this?

Elan Coil [88]

y axis is vertical x is horizontal

7 0

3 years ago

Evaluate this expression if a = 2, b = -1 and c = 1.

labwork [276]

Substitute the values into the equation

2(2)+4(-1)-5(1)
4-4-5
-5

8 0

3 years ago

Read 2 more answers

Need help with this asap!

Brums [2.3K]

Answer:

The answer to your question is b = 8.06 cm

Step-by-step explanation:

Data

hypotenuse = c = 9 cm

long leg = b = ?

short leg = a = 4 cm

Process

This is a right triangle so we must use the Pythagorean theorem to find the length of the long leg (b)

c² = a² + b²

-Solve for b²

b² = c² - a²

-Substitution

b² = 9² - 4²

-Simplification

b² = 81 - 16

b² = 65

-Result

b = 8.06 cm

4 0

3 years ago

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