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Nostrana [21]
3 years ago
9

Solve the following system. x2 + y2 = 20 y= x2

Mathematics
1 answer:
Nataly [62]3 years ago
3 0

Answer:

<h3>x=2±√6. Explanation: Since we are given y in terms of x, we can substitute directly into the other equation...</h3>

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PLEASE HELP!! what is the horizontal asymptote of f(x)=2/3^x? Is it on the x-axis or the y-axis?
anygoal [31]

Hey there! :)

Answer:

y = 0, also known as the x-axis.

Step-by-step explanation:

The equation f(x) = \frac{2}{3} ^{x} is an exponential function.

There is an asymptote at y = 0, or the x-axis because:

\frac{2}{3} ^{x}\neq  0

An exponential function, unless containing a vertical shift, can never cross the x-axis resulting in an asymptote at y = 0.

4 0
3 years ago
Question 3<br> Name the transformations of the next equation y
Sergio039 [100]

Answer:

1غىخةضهاثضخ

Step-by-step explanation:

ى7غ-3ص0ض49ة=

4 0
3 years ago
What is the slope of the line threw (-9,6) and (-3, 9)
boyakko [2]

The slope is the change in Y over the change in X.


(-9,6) is X1 and Y1.

(-3,9) is X2 and Y2.


Slope = Y2-Y1 / X2-X1


Slope = 9 - 6 / -3 - (-9)


Slope = 3/6 = 1/2


The slope = 1/2

5 0
3 years ago
The digits of a two-digit number sum to 8. When the digits are reversed, the resulting number is 18 less than the original numbe
Oksanka [162]

Answer:

original number = 53

Step-by-step explanation:

In two digits number:

Let the tens place digit be x and units place digit be y.

So,

Original number = 10x + y

Number obtained after reversing the digits = 10y + x

According to the first condition:

x + y = 8.... (1)

According to the second condition:

10y + x = 10x + y - 18

10y + x - 10x - y = - 18

9y - 9x = - 18

-9(x - y) = - 18

x - y = - 18/(-9)

x - y = 2.......(2)

Adding equations (1) & (2), we find

x + y + x - y = 8 + 2

2x = 10

x = 10/2

x = 5

Plug x = 5 in equation (1), we find:

5 + y = 8

y = 8 - 5

y = 3

10x + y = 10*5 +3 = 50 + 3 = 53

Hence, original number = 53

7 0
3 years ago
Find the value of xin the triangle shown below
creativ13 [48]

Answer:

x=80^{\circ}

Step-by-step explanation:

<u>Solution 1:</u>

Recall that in an isosceles triangle, the two angles adjacent to the congruent sides are equal. Since the sum of interior angles in a triangle add up to 180^{\circ}, we set up the following equation:

x+50+50=180.

Solving, we get:

x+100=80,\\x=\fbox{$80^{\circ}$}.

<u>Solution 2:</u>

The Law of Sines states:

\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}, for any triangle.

We can use this to set up a proportion with the information given:

\frac{\sin x}{18}=\frac{\sin 50^{\circ}}{14}.

Solving, we get:

x=\arcsin(\frac{18\cdot \sin 50^{\circ}}{14}),\\x \approx \fbox{$80^{\circ}$}.

8 0
3 years ago
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