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sasho [114]
3 years ago
15

What is the y-intercept of the following equation? y = 5x – 15

Mathematics
2 answers:
Law Incorporation [45]3 years ago
8 0

Answer:

-15

Step-by-step explanation:

the last number is always your y intercept when using y=mx+b form

Ket [755]3 years ago
5 0
The y-intercept is -15 the y i terceto will always be the one with no x at the end of it when it's y=mx+b
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1. A circle with center (-5, 2) is tangent to the y-axis. What is the radius of the circle? What is the equation of the circle?
Bess [88]

Answer:

Step-by-step explanation:

1)  The center lies on the vertical line x = -5 and the the circle is tangent to (touches in one place only) the y-axis.  Thus, the radius is 5.

2)  Starting with (x - h)^2 + (y - k)^2 = r^2 and comparing this to the given

                     (x - 4)^2 + (y + 3)^2 = 6^2

we see that h = 4, k = -3 and r = 6.  The center is at (4, -3) and the radius is 6.

3)  Notice that A and B have the same x-coordinate, x = 15.  The center of the circle is thus (15, -2), where that -2 is the halfway point between the two given points in the vertical direction.   Arbitrarily choose A(15, 4) as one point on the circle.  Then the equation of this circle is

(x - 4)^2 + (y + 3)^2 = r^2 = 6^2, where the 6 is one half of the vertical distance between A(15, 4) and B(15, -8) (which is 12).

4 0
3 years ago
If f(x) =-2+8 and g(x) = square root of x+9 which statement is true
lidiya [134]

The statement that -6 is in the domain of f(g(x)) is true

<h3>Complete question</h3>

If f(x) = -2x + 8 and g(x) = \sqrt{x + 9, which statement is true?

  • -6 is in the domain of f(g(x))
  • -6 is not in the domain of f(g(x))

<h3>How to determine the true statement?</h3>

We have:

f(x) = -2x + 8

g(x) = \sqrt{x + 9

Start by calculating the function f(g(x)) using:

f(g(x)) = -2g(x) + 8

Substitute g(x) = \sqrt{x + 9

f(g(x)) = -2\sqrt{x + 9} + 8

Set the radicand to at least 0

x + 9 \ge 0

Subtract 9 from both sides

x \ge -9

This means that the domain of f(g(x)) are real numbers greater than or equal to -9. i.e. -9, -8, -7, -6, ...........

Hence, the statement that -6 is in the domain of f(g(x)) is true

Read more about domain at:

brainly.com/question/24539784

#SPJ1

3 0
2 years ago
Have another question for you guys it is in the image
Lerok [7]

Answer:

A because its supposed to be on the y axis

5 0
3 years ago
I need help please...
Doss [256]

Answer:

No is your answer

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
PLEASE HELP!!!
Nuetrik [128]

Answer:

V=250.3cm³

Step-by-step explanation:

V=1/3 × π x 5.4² cm x 8.2cm

V= 1/3 x π x 5.4² cm x 8.2cm

V= 1/3 x π x 29.16 cm x 8.2cm

V=250.39cm³

V=250.3cm³

3 0
2 years ago
Read 2 more answers
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