All categories

3 years ago

Can someone please help me with this?!

Mathematics

1 answer:

aliya0001 [1]3 years ago

6 0

To put the given line in standard form, a factor of 2 must be removed from each of the numbers.

Given line in standard form:
.. 3x -y = 9

The perpendicular line through point (h, k) can be found from the formula
.. (-given coefficient of y)*(x -h) +(given coefficient of x)*(y -k) = 0
.. 1*(x -(-7)) +3*(y -4) = 0 . . . . . . . . . (h, k) = (-7, 4)

Eliminating parentheses, you have
.. x +7 +3y -12 = 0

In standard form, the equation is
.. x +3y = 5

_____
The slopes of perpendicular lines are the negative reciprocal of each other. That is, their product is -1. For line ax +by = c, the slope is given by -a/b. The negative reciprocal of that is b/a, corresponding to line bx -ay = (some constant).

When the constant is zero, the line goes through the origin. You can translate the line to make it go through any point (h, k) by writing the equation as
.. b(x -h) -a(y -k) = 0
For the line to be in "standard form", the leading coefficient must be positive. If b < 0, then you want to write
.. -b(x -h) +a(y -k) = 0
as we have above.
Of course, this can be rearranged to
.. -bx +ay = -bh +ak . . . . standard form (when b<0)

You might be interested in

There are 40 girls and 60 boys in the math club the coach wants to divide the entire club into teams where each team has the sam

lapo4ka [179]

40 and 60
40 = 20 x 2
60 = 20 x 3

GCF = 20

<span>the greatest number of teams coach can make is 20
each team can have 2 girls and 3 boys</span>

6 0

3 years ago

A culture started with 1000 bacteria. After 2 hours, it grew to 1200 bacteria. Predict how many bacteria will be present after 1

Harlamova29_29 [7]

You're not allowed to have bacteria in 2020

8 0

3 years ago

If GF = 3.2 ft, which is a possible measure of TS?

iVinArrow [24]

Answer:

C. 3.2

If GF = 3.2 a possible measure of TS is 3.2

6 0

3 years ago

Read 2 more answers

The circumference of the ellipse approximate. Which equation is the result of solving the formula of the circumference for b?

Serhud [2]

Answer:

$b = \sqrt{\frac{C^{2} }{2(\pi )^{2} } - a^{2}}$

Step-by-step explanation:

Given - The circumference of the ellipse approximated by $C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }$ where 2a and 2b are the lengths of 2 the axes of the ellipse.

To find - Which equation is the result of solving the formula of the circumference for b ?

Solution -

$C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }\\\frac{C}{2\pi } = \sqrt{\frac{a^{2} + b^{2} }{2} }$

Squaring Both sides, we get

$[\frac{C}{2\pi }]^{2} = [\sqrt{\frac{a^{2} + b^{2} }{2} }]^{2} \\\frac{C^{2} }{(2\pi)^{2} } = {\frac{a^{2} + b^{2} }{2} }\\2\frac{C^{2} }{4(\pi)^{2} } = {{a^{2} + b^{2} }$

$\frac{C^{2} }{2(\pi )^{2} } = a^{2} + b^{2} \\\frac{C^{2} }{2(\pi )^{2} } - a^{2} = b^{2} \\\sqrt{\frac{C^{2} }{2(\pi )^{2} } - a^{2}} = b$

∴ we get

$b = \sqrt{\frac{C^{2} }{2(\pi )^{2} } - a^{2}}$

8 0

3 years ago

The next day, another group spent a total of $61. Each person in this group paid for general admission, and one person bought a

Ivahew [28]

Answer:

Step-by-step explanation:

Here is the full question :

This sign shows admission fees and ticket prices for a museum :

General Admission: $18

Tickets to Special Exhibits $7

Tickets to Movies $6

Note: Tickets to the Special Exhibit and the Movie are in addition to the General Admission fee

The next day, another group spent a total of $61. Each person in this group paid for general admission, and one person bought a special exhibit ticket. How many people were in this group?

If only one person bought a special exhibit ticket, the amount spent on general admission = 61 - 7 = $54

Since everyone would have to pay the general admission ticket, we can determine the number of people in the group

number of people in the group = total amount spent on general admission / price of general admission per person

= $54 / $18 = 3

4 0

3 years ago