Write the equation of a line that is perpendicular to the given line and that passes through the
given point.
y-2= 7/3 (x + 5);(-4,9)
Oy-9=-3/7(x-4)
Oy-9= 3/7(x-4)
Oy- 9= -3/7(x+4)
Oy- 9= -3/7(x+4)

The conic section as a collection of points(loci) on a plane can be defined in this way .

A conic section is a curve obtained by intersecting a cone with a plane. In Algebra , There are  four main types of conic sections:

circles, parabolas, ellipses and hyperbolas. Each of these conic sections has different characteristics and formulas that help us solve various types of problems.

A locus (plural: loci) (Latin word for "place", "location") is a set of all points (commonly, a line, a line segment, a curve or a surface), whose location satisfies or is determined by one or more specified conditions.

According to the question

There are 4 main types of Conic section :

circles, parabolas, ellipses and hyperbolas. Each of these conic sections has different characteristics and formulas

Loci for circle : The locus of a circle is defined as a set of points on a plane at the same distance from the center point.

Loci for parabola : A parabola is a locus of points that are equidistance form a focus and a directrix .

Loci for hyperbola: A hyperbola is the locus of points such that the absolute value of the difference between the distances from to and to is a constant.

Loci for ellipse: An ellipse is the locus of all those points in a plane such that the sum of their distances from two fixed points in the plane, is constant. The fixed points are known as the foci (singular focus), which are surrounded by the curve.

Hence, The conic section as a collection of points(loci) on a plane can be defined in this way .

To know more about conic section and loci  here:

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Answer:

by phythagoras theorem

(c+b)^2=(8)^2+(6)^2

(b+c)^2=64+36

(b+c)^2=100

b+c=√100

b+c=10.

by phythagoras theorem

(8)^2=(a)^2+(b)^2

64-b^2=a^2. {1}

by phythagoras theorem

(6)^2=(a)^2+(c)^2

36-c^2=a^2. {2}

In equation 1 and 2,

64-b^2=36-c^2

64-36= -c^2+b^2

28= b^2-c^2

28=(b+c)(b-c)

28=10(b-c)

b-c=28/10

b-c=2.8.

b+c=10

b-c=2.8

subtract both equations

c=3.6

option A is correct.

Answer:

first choice

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + 10^2 = 15^2

a^2 + 100 = 225

       - 100    -100

a^2 = 125

square 125

a = 11.18

Answer:

144 calories

Step-by-step explanation:

12%(1200)=

0.12(1200)=144

Answer:

2

Step-by-step explanation:

OK 13-5=8 and that leaves 8k so k must be 2 because since their is no space they are being multiplied together and 8x2=16 :) hope this helps

plz give thanks

Answer:

Quadrilateral, Square, and Rhombus

Step-by-step explanation:

Hope it helped!

Answer:

I think quadrilateral and rhombus.

Step-by-step explanation:

Answer:

yes, the triangle is congruent because they all have the same three sides on each.

Answer:

answer is 3

Step-by-step explanation:

8-5

4(2)=8

3+2=5

8-5=3

Answer:

46

Step-by-step explanation:

Step-by-step explanation:

26375

On the graph, it tells you how much fuel is left after 2 hours of the journey.

If we take 422,000 and subtract 369,250 from it we get 52,750. However, this is how much gas is used in 2 hours, so to find one hour we need to divide by 2, getting us 26,375.

Therefore, the Jet uses 26,375 gallons per hour during the 16 hour trip from Los Angeles, CA to Melbourne, Australia.

Answer:

w=V/Ih

Step-by-step explanation:

The formula for the volume of a rectangular prism is given as V = lwh.

✓ we are required to solve for "w" and this can be done by making "w" subject of the formula.

w=V/Ih

Hence, formula for " w" is w=V/Ih

Answer:

The answer to the question is A

Answer:

The solution to the system of equations will be:

[tex]x=9,\:y=6[/tex]

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}2x-9y=-36\\ -14x+18y=-18\end{bmatrix}[/tex]

Multiply 2x-9y=-36 by 7

[tex]14x-63y=-252[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}14x-63y=-252\\ -14x+18y=-18\end{bmatrix}[/tex]

Adding both equations

[tex]-14x+18y=-18[/tex]

[tex]+[/tex]

[tex]\underline{14x-63y=-252}[/tex]

[tex]-45y=-270[/tex]

solve -45y = -270 for y

[tex]-45y=-270[/tex]

divide both sides by -45

[tex]\frac{-45y}{-45}=\frac{-270}{-45}[/tex]

Simplify

[tex]y=6[/tex]

For 14x-63y = -270 plug in y = 6

[tex]14x-63\cdot \:6=-252[/tex]

[tex]14x-378=-252[/tex]

Add 378 to both sides

[tex]14x-378+378=-252+378[/tex]

Simplify

[tex]14x=126[/tex]

Divide both sides by 14

[tex]\frac{14x}{14}=\frac{126}{14}[/tex]

Simplify

[tex]x=9[/tex]

Therefore, the solution to the system of equations will be:

[tex]x=9,\:y=6[/tex]

Answer:

40

Step-by-step explanation:

(2x+1/(2x))^5 *(2x -1/(2x))^5

= ((2x)^2 -1/(2x)^2)^5 (a+b)*(a-b) =a2-b2

= (4x^2-1/4(x)^2)^5

now

x =4x^2. ,a = 1/4(x)^2 ,n =5

we have

general term = Cr *x^r *a^(n-r)

= Cr * (4x^2)^r * (1/4(x)^2)^(n-r)

= Cr *4^r * X^2r * 1/( 4^(n-r) *x^(2n-2r)

= Cr * 4^r/4^(n-r) * x^(2r)/x^(2n-2r)

= Cr * 4(2r-n) *x(4r-2n)

now for x^2

4r-2n = 2

4r -10=2

4r =12

r = 3

now for coeff

C(5,3) * 4^(2*3-5)

5!/(3!*(5-3)!) * 4

5*4/(2*1)*4

40

Answer: 1

−x+2y=−5;3x−2y=−1

Step: Solve−x+2y=−5for x:

−x+2y=−5

−x+2y+−2y=−5+−2y(Add -2y to both sides)

−x=−2y−5

−x

−1

=

−2y−5

−1

(Divide both sides by -1)

x=2y+5

Step: Substitute2y+5forxin3x−2y=−1:

3x−2y=−1

3(2y+5)−2y=−1

4y+15=−1(Simplify both sides of the equation)

4y+15+−15=−1+−15(Add -15 to both sides)

4y=−16

4y

4

=

−16

4

(Divide both sides by 4)

y=−4

Step: Substitute−4foryinx=2y+5:

x=2y+5

x=(2)(−4)+5

x=−3(Simplify both sides of the equation)

Answer:

x=−3 and y=−4

Step-by-step explanation:

Answer:

the amount is duplicating every time from 1 to 2 from 8 to 16

Step-by-step explanation:

Answer:

it's being multiplied by 2 every time, so 1×2=2 and it just keeps going on. 2×2=4, 4×2=8 and so fourth

$.01×2=$.02

Answer:

D. One solution

Step-by-step explanation:

Simplify:

[tex]6-3x = 12-6x\\-3x+6x = 12-6\\3x = 6\\x = 2[/tex]

There is only one solution (x=2) that satisfy the equation.

Answer:

1. 18.84 in

2. 56.52 cm

3. 4.71 ft

4. 25.12 m

5. 37.68 ft

6. 12.56 yd

7. 43.96 in

8. 28.26 cm

9. 7.85 m

Step-by-step explanation:

[tex]C=2\pi r[/tex]

Answer: 116

Step-by-step explanation: simply divide 8 into 928

Answer:

116 coke

Step-by-step explanation:

992/8

=116

Debby would be able to buy 116 cokes from the coke machine.

Answer:

2/3

Step-by-step explanation:

If 1/3 of students bring their lunch to school then 2/3 of students dont

Answer:

300 brought lunch

600 did not bring lunch

Step-by-step explanation:

1/3 of 900 = 300

Answer:

2sqrt(7)/5

Step-by-step explanation:

sqrt(28/25)

sqrt(28)/sqrt(25)

2sqrt(7)/sqrt(25)

2sqrt(7)/5

Answer:

Step-by-step explanation:

Since this is not factorable, let's just complete the square:

[tex]x^2+6x=19\\x^2+6x+9=28\\(x+3)^2=28\\x+3=\sqrt{28}\\x=2\sqrt{7}-3[/tex]

Answer:

96 :)

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

Make 240 into a decimal (2.4), then multiply it by 40 and you get 96!

I hope this helps and have a great day! :)

Answer:

is -4=Y

Step-by-step explanation:

i had that problem

Answer:

It would take him 4 days.

Step-by-step explanation:

For graphing get your paper. the line numbers you would go by ones on the x axis and ones on the y axis. Put a dot at (0,0) the go up 1, and to the right twice. do this over and over again until you can't see any more points. then make a line with the points