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Anna [14]
3 years ago
6

Are theese rational-3/8 +3/5

Mathematics
1 answer:
nekit [7.7K]3 years ago
3 0

Answer:

The sum is rational.

Step-by-step explanation:

-3/8 is a rational number  (the ratio of 2 integers)

3/5 is a rational number  (the ratio of 2 integers)

When you add 2 rational numbers, you get a rational number.

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Write a equation of a hyperbola given the foci and the asymptotes
professor190 [17]

Solution:

The standard equation of a hyperbola is expressed as

\begin{gathered} \frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\text{ \lparen parallel to the x-axis\rparen} \\ \frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ \lparen parallel to the y-axis\rparen} \end{gathered}

Given that the hyperbola has its foci at (0,-15) and (0, 15), this implies that the hyperbola is parallel to the y-axis.

Thus, the equation will be expressed in the form:

\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ ----equation 1}

The asymptote of n hyperbola is expressed as

y=\pm\frac{a}{b}(x-h)+k

Given that the asymptotes are

y=\frac{3}{4}x\text{ and y=-}\frac{3}{4}x

This implies that

a=3,\text{ and b=4}

To evaluate the value of h and k,

undefined

3 0
1 year ago
Which type of factoring is used to factor the following expression:<br> 2x^2 + 7x- 30
svetlana [45]

Answer:

 (2x - 5) • (x + 6)

7 0
3 years ago
A circular trampoline has a radius of 8 feet. Wendy wants to buy a cover for the trampoline. What will be the area of the cover
padilas [110]

Answer:

Option (3)

Step-by-step explanation:

Area of a circle is given by the formula,

Area = πr²

Here, r = radius of the circle

Since, radius of the circular trampoline = 8 feet

Area of the cover required for the circular trampoline = π(8)²

                                                                                         = 64π square feet

Therefore, Option (3) will be the answer.

3 0
3 years ago
Which of the following explains the relationship between angles A and D?
Marrrta [24]
Complementary angle
4 0
3 years ago
How many solutions does 2.3y+3.2-y=2.1+1.3y+1.1 have?
jeka57 [31]
1.3y +3.2 = 1.3y +3.2

we notice that both sides of the equation are identical. So substitute y with any value and the equation would still be correct.

y has infinite solutions.
6 0
3 years ago
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