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Irina18 [472]
2 years ago
15

Write an equation for a line perpendicular to y = 5x - 4 and passing through the point (15,-1)

Mathematics
1 answer:
VLD [36.1K]2 years ago
4 0

Answer:

y = -1/5 x + 2

Step-by-step explanation:

y = 5x - 4

m = 5

Slope of perpendicular = -1/5

Equation of perpendicular:

y = mx + b

y = -1/5 x + b

Use point (15, -1) for x and y, and solve for b.

-1 = -1/5(15) + b

-1 = -3 + b

b = 2

Equation of perpendicular:

y = -1/5 x + 2

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.) What does the term 9b represent?
taurus [48]

Answer:

The cost to rent a bike

Step-by-step explanation:

4 0
3 years ago
Which equation represents a circle with a center at ( -4,9) and a diameter of 10 units
castortr0y [4]

Answer:

(x + 4)² + (y - 9)² = 25

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 4, 9) and r = 10 ÷ 2 = 5, thus

(x - (- 4))² + (y - 9)² = 5², that is

(x + 4)² + (y - 9)² = 25

3 0
3 years ago
Read 2 more answers
34699 to nearest ten thousand
xz_007 [3.2K]

Ones place: 9

Tens place: 9

Hundreds place: 6

Thousands place: 4

Ten thousands place: 3

Which is 34,699

Now that we know 3 is in the ten thousand's place.

So then go from 3, and jump too 4. If the number is higher then 5, the 3 would become a 4. If the number is lower then 5, 4 would become a 0 and so will the rest of the number's too the right.

34,699 ---> 30,000

That being said, the answer is 30,000!

I hope this help's! :)

-LizzyIsTheQueen

8 0
3 years ago
Find the vertical asymptotes. 2x2 + 7x + 6 y = 3x2 + 10x - 8 * = [ [?], x=​
Llana [10]

Answer:

-\frac{77}{24}

Step-by-step explanation:

1. rewrite the equation in standard form: 4\cdot \frac{3}{2}\left(y-\left(-\frac{41}{24}\right)\right)=\left(x-\left(-\frac{3}{2}\right)\right)^2

2. find (h,k), the vertex. the vertex is \left(h,\:k\right)=\left(-\frac{3}{2},\:-\frac{41}{24}\right)

3. find the 'focal length' of the parabola - the focal length is the distance between the vertex and the focus. from the vertex we can see that the focal length, p, = 3/2

4. Parabola is symmetric around the y-axis and so the asymptote is a line parallel to the x-axis, a  distance p from the \left(-\frac{3}{2},\:-\frac{41}{24}\right) y coordinate which is at  -\frac{41}{24}\right). Set up the equation:

y=-\frac{41}{24}-p

5. substitute and solve:

y=-\frac{41}{24}-\frac{3}{2}

y = -\frac{77}{24}

hope this helps, ask me questions if you still don't understand.

8 0
3 years ago
Barb and John each have a savings account with a sum of money in it. Barb and John each begin to add a set amount of money each
BigorU [14]

Answer:

The answers are, "John saves $35 dollars the first week" and "John is saving at a faster rate than Barb"


8 0
3 years ago
Read 2 more answers
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