All categories

2 years ago

What are the coordinates of the y-intercept of the function y=|3x−10|+1?

Mathematics

1 answer:

shusha [124]2 years ago

3 0

Answer:

(0,-10)

Step-by-step explanation:

Using the equation y = mx = b where b is the y-intercept,

we can find that the "b" in y=|3x-10|+1 is -10

So the y-intercept is -10 or at the coordinates (0,-10)

You might be interested in

Please helllppp will give lots of points!!!!

kondaur [170]

Answer:

1. start is 1/3

2. is 1/3

3. is 1 out of 2

4. is 1 out of 6

5. is 2 out of 3

6. is 1 out of 2

7. is 5 out of 6

8. is 1 out of 6

then finished!!!

I hope this helped

7 0

2 years ago

Sketch each parabola, labeling its focus and directrix. y=(1/10)(x-1)²-2

sergiy2304 [10]

The equation of parabola is $y=\frac{1}{10}\left(x-1\right)^{2}-2$

Comparing with the vertex form of the parabola: $y=a(x-h)^2+k$

$a=\frac{1}{10},h=1,k=-2$

Hence, the vertex of the parabola is given by (h,k) = (1, -2)

Now, vertex is the midpoint of the focus and the point on the directrix.

Distance, between vertex and focus is p and that of point on the directrix is p.

Now, let us find p

$p=\frac{1}{4a}\\\\p=\frac{1}{4\cdot1/10}\\\\p=\frac{5}{2}$

Thus, the focus is given by

$(h,k+p)\\\\=(1,-2+5/2)\\\\=(1,1/2)=(1,0.5)$

And the directrix is given by

$y=k-p\\\\y=-2-5/2\\\\y=-\frac{9}{2}$

Since, a >0 hence, it is an upward parabola.

The graph is shown in the attached file.

5 0

2 years ago

A circle has a radius of 5 in. A central angle that measures 150° cuts off an arc.

Slav-nsk [51]

Answer:

Part 1) The exact value of the arc length is $\frac{25}{6}\pi \ in$

Part 2) The approximate value of the arc length is $13.1\ in$

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference of a circle is equal to

$C=2\pi r$

we have

$r=5\ in$

substitute

$C=2\pi (5)$

$C=10\pi\ in$

step 2

Find the exact value of the arc length by a central angle of 150 degrees

Remember that the circumference of a circle subtends a central angle of 360 degrees

by proportion

$\frac{10\pi}{360} =\frac{x}{150}\\ \\x=10\pi *150/360\\ \\x=\frac{25}{6}\pi \ in$

step 3

Find the approximate value of the arc length

To find the approximate value, assume

$\pi =3.14$

substitute

$\frac{25}{6}(3.14)=13.1\ in$

7 0

3 years ago

Help!!!!!!!!!!!!!!!!

valkas [14]

Under box 36x + 9, Drag the following:

A.) 9(4x + 1)
D.) (9 . 4x) + (9 . 1)

Under box 9(4x - 1), Drag the following:
B.) (3 . 12x) - (3 . 3)
C.) 36x - 9

Under box (4 . 9x) + (4 . 2), Drag the following:
E.) 4(9x + 2)
F.) 36x + 8

Hope this helps!

5 0

3 years ago

What are the three choices equivalent to 27^4/3

12345 [234]

the answers are B,D and F

8 0

2 years ago