Through a point, not a given line, how many perpendicular lines can be drawn to the given line?

A. Two
B. Infinite
C. None
D. Only one

Essentially this question is asking, If we made circle O as big as circle O1, how could we move it to the same spot. Therefore, I would expect the Answer to be D.

Answer:

12

Step-by-step explanation:

3•4=12

M refers to midpoint.

[tex]

A(9, 8) \\

B(-1, -2) \\

M(\frac{x_1-x_2}{2}, \frac{y_1-y_2}{2}) \\

M(\frac{9-(-1)}{2}, \frac{8-(-2)}{2}) \\

M(\frac{10}{2}, \frac{10}{2})\Longrightarrow\boxed{M(5, 5)}

[/tex]

Hope this helps.

r3t40

Answer:

This is your answer.

Step-by-step explanation:

Hope is helps!!

Answer: (x+1) (x+2) (x+5)

Step-by-step explanation:

Answer:

[tex]\frac{13-7\sqrt{3}}{2}[/tex]

Step-by-step explanation:

We need to rationalize the denominator of [tex]= \frac{5-\sqrt{3}}{4+2\sqrt{3}}[/tex]. For rationalizing we multiply the equation by [tex]\frac{4-2\sqrt{3}}{4-2\sqrt{3}}[/tex]

So, solving

[tex]= \frac{5-\sqrt{3}}{4+2\sqrt{3}}*\frac{4-2\sqrt{3}}{4-2\sqrt{3}} \\=\frac{(5-\sqrt{3})(4-2\sqrt{3})}{4+2\sqrt{3}*4-2\sqrt{3}}\\=\frac{(5-\sqrt{3})(4-2\sqrt{3})}{(4)^2-(2\sqrt{3})^2}\\= \frac{5(4-2\sqrt{3})-\sqrt{3}(4-2\sqrt{3})}{16-(4*3)}\\=\frac{20-10\sqrt{3}-4\sqrt{3}+2*3}{16-12}\\=\frac{20+6-14\sqrt{3}}{4}\\=\frac{26-14\sqrt{3}}{4}\\= \frac{2(13-7\sqrt{3})}{4}\\=\frac{13-7\sqrt{3}}{2}[/tex]

Answer:

0.25

Step-by-step explanation:

Answer:

x = -94/17, y = -6, z = -48/17

Step-by-step explanation:

If solving this system of equations is what you want, here's the answer.

Answer:

(x + 2)² + (y - 2)² = 64

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) = (- 2, 2), thus

(x + 2)² + (y - 2)² = r²

Given C = 2πr = 16π ( divide both sides by 2π )

r = [tex]\frac{16\pi }{2\pi }[/tex] = 8

Hence

(x + 2)² + (y - 2)² = 64 ← equation of circle

To find the equation of the circle with center at (-2,2) and a circumference of 16π, first calculate the radius r=8 from the circumference, then use the formula (x+2² + (y-2)² = 64.

The question asks for the equation of a circle with a given center and circumference. The center of the circle is located at (-2,2), and the circumference is 16π. First, we calculate the radius of the circle using the formula for circumference, C = 2πr, where C is the circumference and r is the radius. Since C = 16π, we can solve for r to find that the radius r = 8 units.

Next, we use the standard equation of a circle, which is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is its radius. Therefore, substituting h = -2, k = 2, and r = 8 into the equation, we get (x + 2)² + (y - 2)² = 64, which is the equation that represents the circle with the given center and circumference.

Answer:

[tex]\boxed{x^{2} + 2x - 8}[/tex]

Step-by-step explanation:

6. Practice

The dimensions of the current park are x long and x wide.

The new park will be 4 longer and 2 thinner.

Its new dimensions will be x + 4 long and x – 2 wide.

Its new area will be

A = width × length = (x – 2)(x + 4)

Find the product

[tex]\begin{array}{lll}\textbf{Steps} & \textbf{Problem: }(x - 2)(x + 4) & \\\textbf{1. List variables} & a = x - 2 & \\ & b = x & \\ & c = 4 &\\\textbf{2. Distribute (x - 2)} & (x -2)(x + 4)\\ & = (x - 2)(x) + (x - 2)(4)\\\textbf{3. Distribute x and 4} & x^{2} -2x + 4x - 8\\\textbf{4. Combine like terms}& x^{2} + 2x - 8\\\end{array}\\\text{The area of the updated skatepark will be }\boxed{\mathbf{ x^{2} + 2x - 8}}[/tex]

Answer: Option G

[tex]a_6 = -2048[/tex]

Step-by-step explanation:

The geometric series have the following form:

[tex]a_n = a_1 (r) ^ {n-1}[/tex]

Where [tex]a_1[/tex] is the first term of the sequence and r is the common radius.

In this case we know that

[tex]a_1 = -2\\\\r = 4[/tex]

So:

[tex]a_n = -2(4) ^ {n-1}[/tex]

To find the sixth term [tex]a_6[/tex], substitute [tex]n = 6[/tex] in the equation.

[tex]a_6 = -2 (4) ^ {6-1}\\\\a_6 = -2 (4) ^ 5\\\\a_6 = -2048[/tex]

Answer:

The measure of the major arc MBD is 270°

Step-by-step explanation:

we know that

The measure of major arc MBD is equal to the sum of the measure of the arc MB plus the measure of the arc BD

BD is a diameter-----> divide the circle into two equal parts

so

arc BD=180°

arc MB is a quarter of circle

so

arc MB=90°

therefore

arc MBD=180°+90°=270°

Answer:

the last one

Step-by-step explanation:

Answer:

the answer is indeed the last one

Step-by-step explanation:

7x-3x is the only one that meets the requirements for this statement

7-3x would be the difference between seven and three times a number

7x-3 would be the difference between seven times a number and three

have an absolutely fantastic day my friend!

Answer:

The correct answer is option "C"

"The interquartile range increases"

The value of the (RIC) will increase from 4 to 5.75, that is, 44%

Step-by-step explanation:

The range is defined as the difference between the maximum and minimum value of a series of data. Xmax - Xmin

The interleaving range (RIC) is a measure of dispersion that measures the central range of 50% of the data.

Therefore, if a low value is included, such as five, the variance of the data would be greater and, consequently, the value of the (RIC) will increase from 4 to 5.75, that is, 44%

Answer: OCTOBER 16th

Step-by-step explanation: The teams will meet again on October 16th

Answer:

Hey No worries. Its very easy.

Step-by-step explanation:

Look,

Volume= 84 in.cube

Length=6 in.

Breadth=2 in.

therefore, Height= Volume/(Length*Breadth)

=84/(6*2)

=84/12

=7

Answer:

h = 7 in

Step-by-step explanation:

The volume (V) of a cuboid is calculated using the formula

V = lbh ( l is length, b is breadth and h is height )

Given V = 84 in³, then

lbh = 84 ← substitute l = 6 and b = 2

6 × 2 × h = 84

12h = 84 ( divide both sides by 12 )

h = 7

Answer:

252 hours

Step-by-step explanation:

1 day = 24 hours

1 week = 7 days

= 24 * 7

= 168 hours

3 days = 24 * 3

= 72 hours

1/2 day = 24 / 2 = 12 hours

Add up all values/hours:

168 hours + 72 hours + 12 hours = 252 hours

Answer:

1 week- 168 hours

3 days-72 hours

1/2 day-12 hours

Step-by-step explanation:

1 week- 24x7=168

3 days- 24x3=72

1/2 day- 24x.5=12

Answer:

Annie has 95 apples now

Answer:

Annie has 95 Apples

Step-by-step explanation:

7 Apples - 5 Apples = 2

2 + 3 more apples = 5 Apples

5 Apples - 2 Apples = 3 Apples

3 Apples + 9 more apples = 12 Apples

12 - 6 = 6 Apples

6 Apples + 89 more apples = 95 Apples

Check the picture below.

Corresponding angles are congruent

From concept of base angle of parallel line, Option(D) Corresponding angles are congruent.

Given that ∠1 ≅ ∠2 .

In the diagram given aside, line a and b are parallel where the ∠4 and ∠2 are base angle subtended by the parallel lines.

From the traversal property of congruency, we know that the base angles of a parallel lines always subtend equal and congruent angles when it is intercepted by a common traversal.

Thus, from concept of base angle of parallel line, Option(D) Corresponding angles are congruent.

To learn more about base angle of parallel lines, refer -

https://brainly.com/question/13352230

#SPJ2

For this case we have that by definition of trigonometric relations of rectangular triangles, that the sine of an angle is given by the opposite leg to the angle on the hypotenuse of the triangle. So:

[tex]Sin (45) = \frac {leg} {h}[/tex]

Where h is the hypotenuse.

[tex]\frac {\sqrt {2}} {2} = \frac {leg} {h}[/tex]

We cleared h:

[tex]h = \frac {2leg} {\sqrt {2}}[/tex]

We rationalize:

[tex]h = \frac {2leg} {\sqrt {2}} * \frac {\sqrt {2}} {\sqrt {2}}\\h = \frac {2 \sqrt {2} * leg} {2}\\h = \sqrt {2} * leg[/tex]

ANswer:

Option A

Answer: Angle 10 and Angle 2

For this case we must find the value of "c" of the following expression:

[tex]\frac {c} {3} = \frac {30} {5}[/tex]

We solve the right side of the equation:

[tex]\frac {30} {5} = 6[/tex]

Rewriting:

[tex]\frac {c} {3} = 6[/tex]

We multiply both sides of the equation by "3":

[tex]c = 6 * 3\\c = 18[/tex]

Answer:

[tex]c = 18[/tex]

I think 9 should be added to both sides.

cofficient of x = 6

half of it = 6/2 = 3

square the 3

to give 3 squared = 3*3 9

Answer:

9

Step-by-step explanation:

To make it a Perfect Square Trinomial, you can square root 9 and multiply it to get 6, therefore 9 is correct

Answer: -3

Step-by-step explanation:8-5=3 take the negative so it’s -3

Answer:

$18.99

Step-by-step explanation:

Step 1: Take the per topping amount ($1.25) and multiply it by the amount of toppings (4). $1.25x4=$5

Step 2: Add your toppings total ($5) to the base pizza cost ($13.99). $13.99+$5=$18.99

Answer:

18.99

work:

13.99 + (1.25 x 4 )

13.99 + 5

18.99

trust me, 18.99 + (1.25 x 4) will work and the work showing also

Answer:

the length of major semiaxes a = 8.45 cm  and minor semiaxes b= 5.63 cm.

Step-by-step explanation:

Area of ellipse = π*a*b

Let major semiaxes = a and minor semiaxes = b

then a:b = 3:2

a/b = 3/2

=> a = 3/2 b

Putting in the value of formula

150 = π * (3/2)b * b

150 = 3.14 * 1.5b * b

150= 4.71 b^2

150/4.71 = b^2

=> b^2 = 31.8

b= 5.63

a = 3/2 * b

a = 1.5 * 5.63

a = 8.45

So, the length of major semiaxes a = 8.45 cm  and minor semiaxes b= 5.63 cm.

Answer:

Major: 8.5 cm

Minor: 5.6 cm

Step-by-step explanation:

Answer:

.6*.3=.18

Step-by-step explanation:

when two events must both happen, multiply their probabilities. (and=*, or=+)

Answer: Option C

The equation is:

[tex](x+8)^2 +(y+3)^2=9[/tex]

Step-by-step explanation:

First we must calculate the midpoint between the two given points.

Then the midpoint will be the radius of the circumference

The midpoint between two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is:

[tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

In this case the points are:

(-5 -3) and (-11 -3)

The the center is:

[tex](\frac{-5-11}{2}, \frac{-3-3}{2})[/tex]

[tex](-8,\ -3)[/tex]

Then the equation is:

[tex](x+8)^2 +(y+3)^2=r^2[/tex]

To find r we substitute one of the points in the equation and solve for r

[tex](-5+8)^2 +(-3+3)^2=r^2[/tex]

[tex](3)^2 +0=r^2[/tex]

[tex]r^2 =3^2[/tex]

[tex]r =3[/tex]

Finally the equation is:

[tex](x+8)^2 +(y+3)^2=9[/tex]

Answer:

Option C

Step-by-step explanation:

The standard form of equation of circle is:

(x-h)^2+ (y-k)^2=r^2

As we only know two points on the circle which are the ends of diameter.

As we know

Radius=Diameter/2

We have to find the length of diameter using the distance formula first to calculate radius. So,

Diameter= √((-11-(+5))^2+(-3-(-3)^2 )

= √((-11+5)^2+(-3+3)^2 )

=√((-6)^2+(0)^2 )

= √36

=6

Now,  

Radius=6/2

=3

As the diameter passes through centre, so the mid-point of diameter will be centre of the circle:

Mid-point=((x_1+x_2)/2,(y_1+y_2)/2)

=((-5-11)/2,(-3-3)/2)

=((-16)/2,(-6)/2)

=(-8,-3)

Putting the values of radius and centre in standard form

(x-h)^2+ (y-k)^2=r^2

(x-(-8))^2+ (y-(-3))^2=3^2

(x+8)^2+ (y+3)^2=9

So the correct answer is option C ..

Answer:

9.2 ft

Step-by-step explanation:

The length of the ladder is 15 ft

The ladder makes an angle of 52° with the ground

The distance (x) from the base of the house to the foot of the ladder is given by;

[tex]\frac{x}{15}[/tex] = cos 52°

x = 15 × cos 52° = 9.23492213 ft

Which equals to 9.2 ft (rounded off to tenth of a foot)

The distance between the base of the building and the bottom of the ladder is 11.72 feet.

It is given that

Length of the ladder = 15 feet

The angle of inclination = 52°

Let us say the distance between the base of the building and the bottom of the ladder is x.

The tangent of an angle is the ratio of the opposite side(to that angle) to the base of the triangle.

Tan 52° = length of the ladder / distance between base of building and bottom of the ladder.

Tan 52 = 15/x

x= 15/Tan 52

x = 11.72 feet.

Therefore, The distance between the base of the building and the bottom of the ladder is 11.72 feet.

To get more about Trigonometric ratios visit:

https://brainly.com/question/24349828

Answer: 72

Step-by-step explanation:

722 —> 720

9 —> 10

72 divided by 1 is 72

Answer:

248.39

Step-by-step explanation:

421 × .59 =248.39